1. Introduction
Many industries widely use fusion welding technologies for metals and alloys, which use an electric arc as a source of heating and melting [
1]. At the same time, many physical phenomena occurring in the cathode and anode regions of the welding arc remain undiscovered [
1,
2], in particular, the physical nature of the formation, existence, and quenching of cathode and anode spots [
3,
4,
5]. The development of the work has shown [
5,
6,
7,
8] that the experimental study of these phenomena is very difficult since one has to deal with a whole complex of complex interrelated physical processes, the course of which strongly depends on the state of the electrode surface. For the same reason, the theoretical description of the cathode and anode regions turned out to be no less difficult [
4,
5,
6,
7,
8]. Numerous theoretical and experimental studies have shown that the thermal history in the welding arc is closely related to thermal, hydrodynamic liquid and electromagnetic phenomena occurring during electrode melting and in the welding bath, as well as in the arc heat source [
2,
3,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20].
Various reviews and monographs [
1,
4,
5,
19] summarize the results of numerous studies conducted since 1900 on the processes occurring in the cathode and anode regions of an arc discharge. Refs. [
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19] present the use of atmospheric plasma in the field of material processing, modeling the cathode and anode layers, arc processes in relation to vacuum switches, and surface cleaning from the oxide layer.
To study the behavior of cathode and anode spots in a welding arc, vacuum arc, or plasma arc, various methods are used using high-speed cameras and streak cameras [
5,
7,
10,
11,
21,
22,
23] to obtain high-resolution images of cathode and anode spots and to record spatial and temporal details of spot formation, including the lifetime of the spot. However, the process of obtaining and interpreting recorded images is quite complex and limited, especially in terms of spatial resolution. Moreover, mainly, the use of optical methods gives us information indirectly—by the glow of the plasma above the spot, i.e., a certain optical image. As a physical material object, it is not yet possible to fix the spot itself (cathode or anode). The autograph method is known [
7,
24], when the property of a cathode or anode spot, size, and shape are judged by the size of the imprint left on the surface of the material. The difficulties of experimental studies are significantly aggravated by the small size of cathode spots and the transience of the processes occurring in them [
25].
The literature [
7,
8,
21,
22,
23,
26,
27,
28,
29,
30,
31] presents the types of cathode spots and problematic issues of a theoretical and experimental nature related to obtaining new information. Cathode spots (KS) are complex, nonstationary, self-organizing objects that have microdimensions and exist on microsecond time scales [
21]. The KS consists of an overheated, boiling, and exploding volume of metal and a cloud of superdense erosive plasma covering it, the pressure of which reaches tens of atmospheres [
5,
6,
7,
8]. KS is the source of a supersonic jet of dense, strongly ionized plasma. The current between the metal and the plasma is closed through the KS, which provides the huge energy release density necessary for the existence of the KS [
25]. The released energy is absorbed during heating and in the phase transition from solid to liquid and gaseous states, and is also spent on heating, the ionization of this vapor, and the acceleration of erosive plasma and droplets. The lifetime of the KS is determined by the time at which the thermal conductivity in the metal “does not work” [
7,
8,
25]. This is the time during which the heat wave manages to move away along the metal at distances of the order of the spot size. As soon as the heat escapes into the cathode and becomes significant in the energy balance of the spot, it “dies off” because there is not enough energy for its functioning [
21,
22,
23,
24,
26,
27,
28,
29,
30,
31]. Instead of a dying spot, a new one appears nearby [
7,
8]. The need to maintain an energy balance limits the range of currents passed through the control panel [
21,
22,
26,
27,
28]. If the current in the electrical circuit exceeds a certain maximum value [
24], then the KS is “divided”, i.e., a second KS appears next to it. If the current in the circuit is less than a certain minimum, the KS goes out [
24]. The microscopic dimensions of the KP cause a significant influence on various micro-objects on the cathode surface: dielectric inclusions, metal grains, and other inhomogeneities. The cathode material also affects the KP parameters [
25].
The successes of recent decades In experimental studies of cathode spots has become possible due to the intensive development of vacuum technology [
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32], the advent of modern computer technology, artificial intelligence [
33], digital means of measuring and processing electrical signals, digital photography, etc.
We encountered the issue of a lack of experimental facts regarding the structure and properties of the anode spot in the welding arc when analyzing the sources of information for the literature review. Numerous authors studying arc processes use the term “anode spot” in numerous works, yet no single work focuses on the structure and properties of the spot itself. In open sources of information (scientific journals, monographs, and the Internet), there is not a single photo of the anode spot of the welding arc. Moreover, after analyzing the currently available scientific literature on this issue, we have not been able to formulate the basic properties of the anode spot of the welding arc. Although everyone already knows that the “secret” of the cathode spot of an arc discharge has been “revealed”, so say the author of [
25,
32] and his associates, that is not the problem; we all forgot about the anode spot, and it also exists in the arc discharge, and without it, there will be no discharge itself. The paradoxical situation with the anode spot, according to the generally accepted, traditional view, is that the anode spot is a key source of heat during welding, surfacing, and cutting, but in no scientific specialized [
2,
3,
13,
14,
15,
16] or educational publications on welding [
1] is there even a physical description of this object; there is not a single photo of the anode spot: when welding with coated electrodes, in the environment of protective gases, plasma: welding, surfacing, and cutting.
According to the authors Finkelburg V. and Mecker G. [
4], the anode spot has almost unlimited mobility. At the same time, the authors, giving such a definition, believe that the surface of the anode does not play a significant role in the elementary processes of arc discharge at all. They further note that metal arcs with evaporating electrodes of low current strength differ from a carbon arc in exceptional instability. This is due to the instability of the anode and cathode spots [
4]. The last mention, in the form of several sentences about the properties of the anode spot on metal arcs, is available in [
4]. Specifically, research on the physical processes at the anode of arcs formed by metal vapors has been inadequate. Such arcs can be divided into arcs with compression of the column at the anode and without compression. Arcs with metal electrodes burning in air or in oxidizing gases, as a rule, form a highly compressed anode spot. The anode spot accelerates rapidly along the anode’s surface (quantitative values remain unspecified). The high current density (about 103 A/cm
2) often releases steam from the anode. Arcs in inert gases and pure nitrogen have anode compression only at low currents (less than 30 A). Thus, from the fundamental work [
4], with a text volume of 370 pages, there is only such brief information on the anode spots of metal arcs. At the same time, there is not a single photo in the text of the work confirming their existence, but it simply declares the existence of anode spots on the faith of the reader.
The classic work by Samerville J. M. [
34] presents photographs of the anode spot of an electric arc and autographs left on the surface of metals, along with a brief analysis of their formation. However, if we carefully consider the photographs presented in the work, the following question arises: Which category is being investigated by the author? The photos presented in it belong to the spark category. This statement follows from the references in the photographs given in [
34], where these results were obtained [
35,
36,
37]. For example, in [
35], the conditions for obtaining anode prints on the surface of aluminum, copper, and titanium include an arc burning time of 1.5, 20, 200, and 1200 microseconds, a current of 50–80 A, and a spark discharge voltage of 1000–5000 V. The above photographs, taken using a Kerr cell at various intervals after the start of arc ignition, show that the diameter of the anode spot remains approximately constant as the arc length increases. In the case of an arc with a current strength of 80 A, the diameter is 0.03 cm [
35]. The authors believe that all current passes through the luminous spot; the average current density is about 10
4 A/cm
2.
Subsequently, the results of the work [
35] formed the basis of the work [
34], and, since then, this methodological error has been cited in the works of various authors on welding and vacuum arc. The issue of interpreting the works [
35,
36,
37] from the point of view of terminology is relevant, since spark discharge and welding arc are two different phenomena, and, therefore, anode prints, having a common nature of occurrence, will differ in shape and properties.
The author of [
35] calls the arc a shock arc in terms of exposure time and the rate of current rise, and in [
36,
37] he already believes that this is a spark discharge. It is possible to assume that at the time of writing this work [
34] and setting up the first experiments [
35], there was still no clear gradation by types of arc discharge due to the lack of a unified terminology. The above photographs of the formation of the anode spot of a spark discharge [
36,
37] from disparate spark current channels determined later in more modern works [
38,
39,
40,
41,
42,
43] over a period of 2 to 50 microseconds show at the final stage (50 microseconds) the formation of a clear large imprint, which we observe in a welding arc [
44]. The results of such studies of the microstructure of submicrosecond and nanosecond discharges in air in the mode of single pulses are presented in [
41,
42,
43].
The studies carried out to date allow us to conclude that with vacuum arcs in the range of currents 200–100 A and voltages 1500–400 V [
25,
38,
39,
40,
41], as well as spark discharges [
34,
35,
36,
37,
42,
43] with characteristic parameters in dense gases, the microstructure of channel prints on the surface of flat electrodes is present in a fairly wide range of experimental conditions: different types of gas discharges; different geometries of the discharge gap and electrode materials, as well as their coatings; various gases and their mixtures; different voltage and current levels of nanosecond and submicrosecond duration ranges [
41,
42,
43]. It is quite natural that the information presented above does not meet the conditions of burning the welding arc on the surface of the molten metal, where the arc burning time is measured from 1 to 100 min, the current is from 10 to 500 A, and the arc voltage, depending on the type of welding, is 10–45 V. Therefore, we cannot correlate the results of the study of the autographs of the anode spots of the work [
34,
38,
39,
40,
41,
42,
43,
45,
46,
47] and the work of other authors on high-current arc discharge, where currents over 1000 A and voltages over 2000 V correspond to the conditions of the welding arc [
1,
2,
3,
48].
In our work [
44,
49,
50], using modern equipment and new research techniques, it was possible to fix cathode and anode spots in the welding arc. We demonstrate that the cathode spots of the welding arc comprise distinct current filaments and cylindrical channels, whose characteristics dictate the welding arc’s technological parameters and the overall behavior of the cathode spot on the metal surface. The welding arc’s cathode spots are predominantly circular or oval in shape. The structure of the cathode spot has a spatial hierarchy at the macro-, micro-, and nanoscale levels. It is based on current channels (filaments) with a minimum diameter of 10–60 nm, filling almost the entire area of the spot.
The purpose of this work is to imagine the new methods of visualization of cathode and anode spots of the welding arc developed by us in previous works and to present new results. Based on the new results, a new concept for the study of welding arc discharge should be formulated using the phenomenological method.
2. Materials and Methods
We conducted the experiments at two different experimental facilities. The first of them is an installation for the visualization of cathode and anode spots. To solve this problem, electrical measurements and high-speed photographing of the cathode and anode bindings of the arc were carried out (
Figure 1). At the next stage of work, the same installation was partially rebuilt to conduct studies of the reverse side of the cathode spot (
Figure 2). In methodological terms, most of the experimental methods are described in detail in our works [
44,
49,
50]. We conducted studies on the visualization of anode spots in the welding arc in a protective gas environment burned vertically between a tungsten nonmelting cathode (4 mm in diameter) and a replaceable copper or steel anode (
Figure 1). The massive anode had a flat polished surface (
Figure 1b). The thickness of the plate was 10 mm. The anode material was low-carbon steel. The arc’s length varied from 3 to 15 mm. The total arc burning time was 0.2 s until the formation of a molten metal bath (
Figure 1c). An industrial source of direct welding current, with an idle voltage of 70 V and a maximum current of 250 A, powered the arc. The current was regulated in the range of 5–100 A. A high-voltage pulse ignited the discharge in the welding torch. High-purity argon was used as a protective gas. We used a Tektronix TDC-1012B digital oscilloscope to measure current and voltage. We used low-cost digital SLR cameras (SONY 350 series (Sony EMCS Kosai Tec, Tokyo, Japan), Canon 550d-18–50 series (Canon, Tokyo, Japan)) for optical temperature measurement using the brightness pyrometry method.
Working with the camera proceeded as follows: We switched the camera to manual operation and disabled the image preprocessing functions, particularly noise reduction. The object was photographed with the recording of a file in uncompressed format (“raw”), which was transferred to a computer, and the file was transformed into TIFF format (R, G, B). Then, each channel of this file was recorded as a separate file in TIFF format in grayscale (8 bits), and the output signal was within the range of 0–255 pixels for each channel. We used standard Adobe Photoshop C3 and Lightroom programs for computer processing. The image quality (objective shooting indicators) was evaluated based on the results of shooting a Kodak Q13 test target and a target (65 × 45 cm, shooting in full frame) to check resolution, distortion, and chromatic aberrations. We calibrated digital cameras for temperature measurement by changing the incandescent current of a SI-8 lamp and fixing the temperature. The temperature resolution for this calibration was 1.2–1.8 K. The temperature in the arc column was determined by the absolute intensity of radiation in the continuous argon spectrum at a wavelength of Ari λ = 480.6 nm. We recorded the continuum’s brightness using a PGS-2 spectrograph. We used the glow of the anode spot of a carbon arc with a known spectral brightness as a reference. We converted the observed arc intensity profiles into radial radiation densities by solving the Abel integral equation. To compare the temperature profile, experimental data obtained from argon radiation in [
10,
11,
12,
13,
14,
15] were used.
Studies using the autograph method [
24] were carried out on film cathodes. In studies, samples with film cathodes were prepared by thermal evaporation in vacuum [
41] by applying thin (10–350 nm) layers of copper, gold, and silver to substrates of lime-sodium glass measuring 25 × 60 mm, 2 mm thick, using a vacuum universal post VUP-5M. The films were sprayed at a residual gas pressure of
p = 1 × 10
−8 Pa and a substrate temperature of T = 70 °C. We subjected all substrates to double pretreatment: first, we chemically etched them in a chromium mixture solution (Na
2Cr
2O
7—100 g, H
2SO
4—50 g, and distilled water—up to a liter), followed by plasma chemical purification using the Nano Clean “Model 1070” installation (Fischione Instruments, Export, PA, USA). Microscopic and gravimetric methods determined the thickness of the deposited films. We studied aluminum films using ready-made samples from aluminum mirrors. The research employed a reverse-polarity direct current welding arc with a current strength ranging from 2 to 60 A, burning vertically between a tungsten nonmelting electrode (2.4 mm in diameter) and a film cathode in argon shielding gas environment.
The arc burned steadily. The total arc burning time was 0.03–1 s. During arc burning, cathode spots form on the surface of the film cathodes, the film evaporates under the action of heat, and a thermal imprint remains on the surface of the glass (autograph) (
Figure 2). The conditions of the experiment correspond to the real technological process of welding with a nonmelting electrode (tungsten) in a protective gas environment (argon) at a direct current of reverse polarity (minus on the product), which is used in industry for welding products made of steel, aluminum, copper, and titanium. The arc-burning process was recorded by a digital SLR camera (a Sony 350). To record the first series of experiments of sequential images during the arc burning act, high-speed cameras were used: RCO.1200 hs, RCO.120 s, NIKON AF-S DX Zoom lens-Nikkor ED, CMOS matrix, pixel size: 12 µm × 12 µm, resolution: 1280 × 1024 pixels, exposure time range: 1 Gorenje ns–5 s, interframe viewing time: 75 ns, dynamic range: 59.6 dB, spectral sensitivity: 290–1100 nm. At a maximum resolution of 1280 × 1024, the maximum shooting speed is 501 fps. At a minimum resolution of 128 × 16 pixels, the maximum shooting speed is 32,000 fps. To record the second series of experiments, a high-speed Phantom v711 camera with a CMOS (CMOS) resolution of 1280 × 800 pixels and a shooting speed of 7530 fps was used. The bandwidth is 7 Gpix/sec with a resolution of 1 megapixel, and the pixel size is 20 microns. The maximum shooting speed is 1,400,000 fps.
The minimum exposure time is 300 ns. The visualization technique and processing of the obtained images are described in detail in [
44,
49,
50]. In addition, methodological recommendations for image evaluation and the results of various authors’ work in this area of research were taken into account [
23,
24,
25,
32,
33,
34,
35,
36,
37]. We used the Tektronix TDS-1012 B digital (Tektronix, Beaverton, OR, USA) oscilloscope to measure current and voltage.
The method of shooting was as follows: We used a front trigger to set up the data logger, triggering it either by voltage or current. Registration started when the set voltage and current values were reached. In the process of measuring the state of the data logger, the interval and time for measuring voltage and current during welding were set to 1 microsecond and 50 ms–1 min, respectively. We connected the data logger’s output trigger terminal to the input terminal of a high-speed video camera. When the trigger signal was received from the data logger, the high-speed video camera immediately began shooting. The time delay between the data recorder and the high-speed video camera was 2 microseconds. The survey was conducted at an angle of ~7–15° with respect to the cathode, depending on the interelectrode gap. To accurately determine the position of the spots in the immediate vicinity of the electrodes, superminiature lamps (CMN 10-55-2) were placed in such a way that their image fell into each frame. The image size of a single cathode and anode spot in the file containing its image (half-width at half the maximum brightness of the glow) was 4–5 pixels (1 pixel ≈ 0.067 mm), which is determined by the resolution of the camera. Thus, the spatial resolution can be estimated at about 0.25 mm.
We examined the samples with the fingerprint using a JEOL JSM-Z4500 scanning electron microscope (JEOL, Tokyo, Japan) and a Solver P47-PRO probe microscope (NT-MDT, Tempe, AZ, USA). The morphology of the surface of the films was studied by atomic force microscopy (AFM), consisting of sequential scanning of the surface of the samples in mutually perpendicular directions with a frequency of 0.95 Hz in contact, semicontact, and noncontact modes.
The technique of studying the reverse side of the cathode spot is described in detail in our work [
50]. The only difference is the placement of the high-speed camera on the back of the glass samples.
Figure 3 shows the schematic diagram of the experiment, depicting the placement of two high-speed cameras that simultaneously record the image of the front (obverse) and reverse (reverse) sides of the cathode spot.
4. Discussion
The results presented above on the visualization of anode and cathode spots using new methods and equipment allow us to analyze the results from a phenomenological point of view. Despite the large number of welding works presented in the scopus system, the authors use high-speed cameras and digital cameras to study the processes of droplet formation, droplet transfer, and bath formation at a macro level. Simultaneously, the exposure time ranges from 80 microseconds and beyond [
1,
2,
3]. Under such shooting conditions, it is impossible to record the formation of anode and cathode spots. Additionally, researchers are only studying the diffusion binding of the welding discharge [
2,
3,
18,
48]. We will specifically focus on the work associated with modeling the welding arc. For many years, arc modeling and welding modeling were essentially distinct fields. While arc models included the arc, electrode, and workpiece as boundary conditions, welding models included the workpiece and the arc as boundary conditions [
1,
2,
3,
48,
52,
53]. Welding arc modeling requires solving related equations of hydrodynamics and electrodynamics, as for other applications of thermal plasmas. But most authors do not include processes in the cathode and anode parts of the welding discharge in their models. Some authors do not even say that cathode and anode spots exist, because they see the electrode and the workpiece as a solid volume [
54].
In the first approximation, we already have an idea of a vacuum discharge by analogy. At the same time, the results of the visualization of anode and cathode spots in the welding arc require a separate analysis, taking into account the methodological features of our experiments.
Let us focus on key points to discuss the results found in the scientific literature. In vacuum, as the authors of the review article [
39,
40,
55] write, five modes of anode discharge can manifest themselves: (1) a low-current mode in which the anode is mostly passive and acts only as a collector of particles escaping from the cathode; (2) the second low-current mode, which may occur if the electrode material is easily sprayed (a stream of atomized atoms will be emitted by the anode); (3) the low-point mode, characterized by the appearance of one or more small luminous spots on the anode (the low points are usually much colder than the real anode spots present in the last two modes); (4) anode spot mode, in which one large or several small anode spots are present (such spots are very luminous, have a temperature close to the boiling point of the anode material at atmospheric pressure, and are an abundant source of vapors and ions); and (5) intensive mode, in which the anode spot is present, but accompanied by severe erosion of the cathode. The voltage is relatively low and quiet in two low-current and high-current modes. It is usually high and noisy in the low-point mode, but it can also be in the anode spot mode. The erosion of the anode is small, even negative, in two low-current modes and from low to moderate in the low-point mode. Severe anode erosion occurs in both the anode spot and intensive modes. The authors of [
39,
40,
55] suggest that the formation of an anode spot depends on the geometry and material of the electrode and the current wave in the particular vacuum under consideration. Under specific experimental conditions, the transition can be caused either by magnetic tightening in the gap plasma, by coarse anodic melting, or by local anodic evaporation. However, the most likely explanation for the formation of an anode spot is a combined theory that takes into account the magnetic constriction in the plasma along with the material flows from the anode and cathode, as well as the thermal, electrical, and geometric effects of the anode when analyzing the behavior of the anode and nearby plasma.
In [
56], the mechanism of the occurrence of the anode spot is described. When a large amount of KS leaves the side surface and the sign of the anode potential drop changes, the anode region turns out to be unstable relative to evaporation and ionization processes. If there is local overheating at the anode during arc burning, then evaporation of the anode material and ionization of vaporized atoms will actively occur in this area. This, in turn, will cause a local increase in plasma concentration. A positive drop in the anode potential, as opposed to a normal, negative one, will result in an increase in current density. This, in turn, will direct energy flow towards the floating surface area, causing it to heat up even more. In a very short time, once the arc is able to control the anode, an anode spot will appear. We refer to this form of arc burning as the “anode jet” mode [
56], and also demonstrated that the anode serves as the “additional” plasma supplier in the gap, complementing the cathode spots. The cathode spot generates primary ions, which emit atoms from the anode’s surface. For a copper anode, the average energy in the distribution of secondary atoms is ~5 eV. In addition to the “diffuse” mode and the “anode jet” mode, there are also “intense arc” and “diffuse channel” modes [
39]. In the “intense arc” mode, discharge contractions occur on both electrodes and severe erosive lesions on the latter. In the “diffuse channel” mode, the arc is also somewhat counteracted on both electrodes; however, erosive lesions are insignificant. Numerous studies, for example [
57,
58], have made it possible to determine the boundaries of the existence of each of the modes (
Figure 20). In arcs with a varying interelectrode gap, the modes in which the arc will reside depend on the current (the amplitude value and the magnitude at which the ignition occurred), the contact dilution rate, the size of the electrodes, and the material used. It can be seen from the arc mode diagram that, regardless of the “trajectory”, the arc remains in a diffuse mode before extinction. However, after the extinction of an arc with a high amplitude current (for example, an arc that passed along trajectories 2 or 3,
Figure 20), the trace of the counteragent binding will not have time to cool down to zero current. Therefore, for successful current switching, it is necessary that, from the moment of ignition to extinction, the arc exists in a diffuse mode.
Despite the fact that the study of anode processes in arc discharges has been conducted for a long time, the causes of the formation of various forms of “binding” of the arc to the anode remain poorly understood—multiple and single contraction, erosion-free diffusion binding. This is obviously explained by the extraordinary variety of phenomena in the anode region, which are realized in various conditions of discharge combustion, depending on the type of plasma-forming gas, current, gas flow rate [
1,
2,
3], the method of arc stabilization, the shape of the electrodes, and even the surface condition of the processed products, which may change during processing. The following main processes take place on the metal anode of the welding arc: The surface of the anode is bombarded with plasma electrons from the positive column and neutral gas particles. The energy received by the anode is spent mainly on the melting and evaporation of the anode material, on radiation, and on heat transfer to the mass of the metal of the anode. As a rule, the anode in the welding arc receives more thermal energy than the cathode, and the anode material evaporates especially intensively. The vapors of the anode material play a predominant role in creating a positive column gas environment. The electrode material of a metal welding arc has a significant impact on its properties, and this effect can be very diverse. The properties of the arc depend on the melting point, the heat of melting, the thermal conductivity of the material, its boiling point, and the heat of evaporation. For example, the higher the melting point of the electrode material, the more favorable the arc burning conditions are, since an excessively low-melting electrode rod gives too much cold molten metal passing through the positive arc column and cooling it. Metal electrodes typically produce vapors with a low ionization potential, and, in most cases, an increase in the electrode material’s evaporation increases the arc’s stability. The diffusion anode layer is defined as the low-temperature zone in front of the anode. For an arc welding situation, this layer has a thickness of about 0.1 mm, which is significantly greater than the average free path of an electron. In this zone, large temperature gradients and particle concentrations cause diffusion fluxes. The temperature of heavy particles, for example, drops in this zone from the plasma temperature to the anode’s surface temperature. If local thermal equilibrium prevailed in this zone, the electrical conductivity would be almost zero in front of the anode, violating the law of continuity of current. This implies that the electron temperature should be significantly higher than the temperature of heavy particles, which causes noticeable deviations from the local thermal equilibrium within the boundary anode layer. The next spatial charge zone is several orders of magnitude thinner than the boundary anode layer. Strong electric fields present in the spatial charge zone due to a deviation from quasi-neutrality identify the anode voltage drop. We need information on the force distribution along the heating spot to assess the hydrodynamic processes in the bath. P. Shoek [
59] proposed measuring the pressure distribution of the arc plasma over the surface of the receptor plate with a gating hole in it. His findings indicate the normal law of pressure distribution over the anode spot. In [
53,
54], the authors proposed a model that simulates the hydrodynamic situation in a bath during plasma-arc remelting, along with a method to study the nature of the bath metal’s movement by measuring the hydrodynamic pressure. The study revealed that electromagnetic forces are the primary forces driving the melt’s movement. The speed of movement of the melt increases with an increase in the current passing through it. The movement is directed from the arc down along the axis of the bath, at the surface, from the periphery to the center of the bath. We performed an experiment on a model to study the flows in the bath during plasma-arc remelting. It has been proven that the main driving force in the bath during plasma arc remelting is electromagnetic force. The high-speed pressure of the plasma arc gas flow acting on the melt’s surface does not cause significant volume movement. The arc’s base directs the main melt flow deep into the bath along its axis. The movement of the melt at the surface is from the periphery to the center. In the middle part of the bath’s radius, vortices form. With an increase in the arc current, the nature of the flows does not change; their intensity increases.
The structure of the anode layer of the vacuum arc bulk charge has been studied, taking into account the dependence of the negative anode drop on the ratio of the directional velocity of electrons to their thermal velocity for different values of the flux density of atoms evaporated from the anode [
39,
40,
55]. The Poisson equation was solved in the layer, taking into account the volume charge of electrons, fast cathode ions, and slow ions formed during the ionization of atoms evaporated from the anode. We solved a kinetic equation for atoms and slow anode ions, considering the collision integral that accounts for ionization. We analytically obtained solutions for both the distribution function of atoms and slow ions by velocities, as well as for the concentration of the latter. The description of the nonequilibrium plasma in front of the metal surface emitting the electrodes is of great importance for theoretical studies of the thermal plasma of arcs because the correct boundary conditions on the electrodes are crucial for modeling arc discharge in general [
48,
49,
50]. Experimental work shows that the arc voltage varies depending on the chemical composition of the anode [
1,
2,
3,
54,
60]. In [
61], a mathematical model of the interaction of electric arc plasma fluxes and molten metal fluxes in the processed product was proposed, which allows us to consider interrelated processes in an electric arc on the surface and inside the product as a single picture. The developed model made it possible to obtain more complete information about the dynamics and interaction of processes in an electric arc and a welding bath and allowed us to determine such important characteristics as the melting depth of the base metal, the intensity of mixing of the metal, the transportation of impurities into the melt, etc. This model’s unique solution describes the processes in each region using the same set of magnetic hydrodynamics (MHD) equations. It was found that the formation of liquid metal flows occurs under the influence of the viscous interaction of radially spreading plasma flows with the anode surface; under the influence of surface tension forces, the welding bath forms a “mushroom” shape. The shape of the surface of the welding bath and the depth of penetration of the base metal are determined by the balance of pressures from the arc and the welding bath. With increasing pressure in the energy balance of the arc column, heat losses increase due to increased radiation.
In the above arguments, we see that most authors consider the molten bath as a whole as an anode spot or use the concept of a heating spot in general, considering that this is the anode spot. These are not entirely correct representations. In fact, as our experiments have shown, the anode spots do not belong to the melt bath, and even more so to the heating spot (
Figure 9,
Figure 10,
Figure 11,
Figure 12 and
Figure 13 and
Figure 15). We see that anode spots form on the surface of the molten bath (
Figure 13). They bind the arc column (
Figure 9 and
Figure 10), emitting the anode torch towards the cathode rather than the entire melt surface. The experimental results presented by us indicate that the anode spots in the welding arc are functional in nature, associated with electrical processes in the arc, and are a new property of electric current. The electric current at the solid–gas–solid interface is capable of forming functional spatial and temporal structures for the flow of electric charge; this is especially clearly seen in
Figure 9a–d. The welding arc column (in the form of a cylinder) rests on an anode spot, which, having high thermal power, melts under it as a metal, and a melt bath is formed. The situation with cathode spots is similar.
We have always believed that cathode spots are a continuation of the aggregate state of the cathode material and tried to theoretically describe the state of the material in it by successive transitions: solid, liquid, vapor, and plasma. Perhaps this is not the right way, because we have exhausted all known physical effects of the cathode spot and have not yet been able to understand its nature. If we move in a different direction with our research and think of cathode spots as a functional element, their main job is to make sure that there is a lot of electric current and electron emission into the arc gap. This means that cathode spots are a new (unknown) property of electric current. It is not a solid that needs to maintain current in a broken cathode–anode circuit. They act as ordinary conductors of electric current because they have electrons that ensure the flow of current. When a current passes through a solid, the number of electrons does not decrease or increase. There are always electrons in a solid, with or without current. On the contrary, an electric current that encounters an obstacle in the form of an air gap (dielectric) on its way through must “create” such temporary functional structures at the solid–gas–solid boundary (metal–dielectric–metal), allowing the circuit to be closed to compensate for losses from a break in the circuit. And it (electric current) “creates” such temporary functional structures in the form of cathode and anode spots, which create a medium temporarily conducting electricity from (or in) a dielectric (e). Then everything falls into place: the initial stage of the formation of cathode spots of the first type, the transition of spots of the first type to the second, third, and fourth, according to the classification [
7,
8,
9,
10,
11], the current density in the cathode spots, the reverse movement of the cathode spot, the cathode potential drop, the threshold current, etc. All of this is due to a change in the fundamental properties of the surface electric current. These changes are mostly “controlled” by the current strength (the amount of electricity flowing through the whole dS cathode surface), the electric current density in the area of the cathode spot, and the thermal and physical properties of the cathode surface. Both of these factors affect the changes that happen. The amount of electricity (dI) is determined by the volumetric density and velocity of the charges. This determines in space and time the mechanism of electron emission from the surface of a solid (liquid or mixed state), the dominance of one mechanism over another, the sequential change or simultaneous existence of several emission mechanisms, etc. Plasma processes in the cathode region are important, but they are secondary because they are the fundamental processes of current flow on the surface and in the surface layer of the cathode. The word structure of the cathode or anode spot does not accurately reflect the physical essence; it will probably be more correct if we talk about the amount of electricity dI and introduce the concept of “the energy state of the cathode spot”. And we are, indeed, currently observing cathode and anode spots as an energetic state of matter. As soon as the conditions for maintenance ceased, these energy states disappeared without a trace, leaving no material traces of themselves. A gas remains a gas, and a solid remains a solid, having only the imprints of energy action on the surface. Of course, when creating such temporary functional energy states, the material of a solid and a gas gap will be used as primary functional elements. Considering the nature of electric current, we can assume that electrons and ions serve as such materials. Consequently, we arrive at various types of crystal lattices of metal conductors of electric current, ranging from electronic levels to the Fermi level. If in our reasoning we proceed from the well-known position that the surface of a solid body is a two-dimensional system, and then not only its structure but also many phenomena manifest themselves on it in a completely different way than in the volume [
62,
63,
64,
65]. For example, the discovery of the quantum Hall effect was preceded by the discovery of another interesting effect: the disappearance of the resistance of a two-dimensional metal in a strong magnetic field.
Atoms in a solid’s surface layers are in special conditions compared to atoms in volume. These special conditions are associated with a violation in one of the directions of the strict periodicity of the crystal lattice and a break in the translational symmetry of the crystal. Electrons moving near the surface “feel” this break [
63,
64]; therefore, the behavior of electrons on the surface of a solid body is not at all the same as in its volume [
43]. This issue is partially analyzed in [
19,
66,
67,
68,
69,
70,
71], where the authors present experimental results of changes on the surface of the emitter at the atomic level. From the point of view of electronic properties, the near-surface region of a solid, its “shell”, is a special state of matter [
63,
64,
65,
72]. The structure of the crystal at the atomic level, that is, the location and properties of its lattice layers near the surface, are also completely different from its volume. In essence, the surface of a solid and its “interior” are two different forms of the same substance, and, consequently, the nature of an electric current’s behavior most likely has its own characteristics. One of the manifestations of such features is that the cathode spots on the surface are one example of such features. The above results, obtained using a new cathode spot research technique, outline a new conceptual view of the cathode spot’s nature. The results obtained do not fit into the traditional hypotheses about the nature of the cathode spot. The experimental fact of the existence of a “free” cathode spot recorded by us [
50] is not explained from the standpoint of modern hypotheses of the nature of the cathode spot. Moreover, this fact refutes the correctness of their basic postulates. It must be admitted that neither the explosive hypothesis of the ectonic mechanism [
6] of the nature of the cathode spot nor the classical hypothesis of the mechanism considering the sequence solid–liquid–evaporation–plasma [
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18] advance us in the theory of knowledge because they study the phenomenon (consequence) and do not reveal the essence (causes). The new conceptual approach formulated above requires a separate presentation, detailed consideration, and discussion, and is beyond the scope of this article.
Thus, the presented material shows the first results of the newly developed experimental technique for studying the reverse side of the cathode spot, and the anode spots are shown for the first time. To obtain analytical dependencies according to the type of
Figure 20, there is not enough experimental material yet, and in future publications we will try to present it. Most of the results presented in this paper are new and are of interest from the point of view of physical electronics and the physics of arc welding discharge. The results can be used to simulate the movement of the gearbox as well as to select the optimal configuration of the magnetic field to control the dynamics of the gearbox in various power sources of the welding arc. The development of new electrode materials can benefit from versatile measurements of KP properties on different metals.
Let us focus on key points to discuss the results. We acknowledge the ongoing research in the field of self-organized structures concerning electric discharge at atmospheric pressure. The concept of anode spots in the welding arc is developed by the author in [
73,
74]. “The simulations are based on a single fluid-electromagnetic plasma flow model numerically implemented within a second-order-accurate multiscale finite element framework that changes with time and space”, says the author [
73]. As the level of cooling at the anode rises, simulations show that spot patterns gradually form, starting with a single diffuse spot for low cooling levels and ending with small spots covering the whole anode region for intense cooling. The characteristics of the patterns, such as the number, size, and location of the spots, markedly depend on the imposed total current. Furthermore, for high cooling levels, the patterns transition from steady to dynamic with decreasing total current. The dynamics of the pattern demonstrate the creation of new spots through the splitting of existing ones in the center of the plasma, along with the movement and eventual extinction of spots at the plasma boundaries. Different types of anode patterns, ranging from diffuse to self-organized spots, significantly influence the total voltage drop across the plasma column, while they have a minor impact on other plasma characteristics. The findings show that thermal instability and the balance between heavy species and electron energy play a major role in how anode patterns form in arc discharges. In fact, by adopting the new perspective of viewing anode spots as self-organizing structures (
Figure 21), we can understand the physics involved in the transition from the diffusion discharge of binding to the anode to the oppositely charged form that forms anode spots.
Figure 21 depicts the VAC of an arc discharge, emphasizing the impact of self-organization in a glow discharge and casting doubt on the arc itself. Simultaneously, studies [
73,
74] demonstrate that welding conditions can lead to purely mathematical anode spots. Simultaneously, the author explores the concept of competition between the energy entering the anode and the energy lost due to Joule heat and evaporation. The author uses a variational multiscale FEM to numerically implement the model of fluid flow and electromagnetic plasma. This makes sure that the results are accurate to the second order in both space and time. This study focuses on the effect of the anode cooling rate on the formation of anode spots.
Figure 21 shows the cooling levels on the anode surface for two modes: natural when h = 0 and fast for h = ∞. The simulation results show that spots appear gradually as the anode cooling levels rise. At low cooling levels, there is a single diffuse spot. Later, small spots appear around the main spot in the middle. Finally, during intensive cooling, the anode area is completely covered with small spots. The number, size, and location of the spots depend significantly on the total current introduced. Computational modeling shows that the spots transition from stable to dynamic with a decrease in the total current for equivalent (high) cooling levels. The changing patterns show that new attachment spots are made by splitting up old ones in the middle of the plasma welding arc column. Spots at the plasma boundaries also move and eventually go away. Different types of anode patterns, from diffuse to self-organized spots, slightly influence the overall voltage drop on the plasma column [
75,
76,
77], and they also slightly influence other plasma characteristics not directly related to the anode region. The results [
73,
74] show that the cooling of the melt bath causes thermal instability, which in turn leads to a decrease in electrical conductivity. Additionally, the balance between heavy particles and electron energy plays a dominant role in the formation of self-organized anode patterns, which take the form of spots in an arc welding discharge area, as documented in the scientific literature.