1. Introduction
Controlling heat transfer through composite fabric layers is important when it comes to the personal protection of firefighters (FFs), first responders, industrial workers, and other professionals. Modeling can provide an accurate prediction used to verify if a fabric design will be workable under specific situations, especially for novel material applications, such as evaluating carbon nanotube (CNT) fabric. There has been significant prior research on modeling the heat transfer processes in clothing used in high temperature environments. Das et al. [
1] performed a theoretical prediction of heat transfer through multi-layer clothing, with a consideration of air gaps in different fabric layers. A mathematical model was developed based on the general equations of heat transfer to generate accurate simulation results, and then appropriate tests were devised to evaluate the method’s validity. Simultaneously, Das et al. evaluated several fabric designs, such as fabric and air layers of various thicknesses, as well as various combinations, to determine the most successful designs. Guan et al. [
2] investigated the transfer of water in a human clothing system when the human body perspires constantly in a radiation heat environment. Understanding the research of Guan et al. on the mass transfer generated by human body perspiration in the clothing system is crucial when it comes to simulating clothing thermal protection and thermal physiology. Many earlier studies looked at specific moisture transfer methods and specifics in clothing, but they did not take into account the impact of liquid sweating or the external high-temperature environment. The Guan et al. investigation included two crucial factors: ambient heat and human sweating. A multi-stage experiment using a sweating trunk as the experimental object was devised. Guan et al. found that as the sweating rate increased, so did the evaporation rate of the sweating trunk in garments. This research is useful when it comes to better understanding the process of continuous sweat transfer and evaporation in clothing, as well as the thermal physiological burden faced by FF and other first responders working in high-temperature environments. Modeling thermal protection provided by clothing was an important advance in the work. Additionally, Prasad et al. [
3] examined the thermal properties of FF protective clothing. Their research began with a numerical investigation of transient heat transfer and water vapor transport. Prasad et al. [
3] developed a mathematical model for the transient heat and moisture transfer of multilayer fabrics, taking into account both the presence and absence of air gaps between three layers of FF protective clothing. The simulation results indicated that when heated, the water in the fabric easily evaporates, and a portion of the evaporated water condenses back into the fabric. Additionally, the temperature within the fabric layer and the total heat flux transmitted to the human skin are inseparably linked to the moisture distribution within the protective garment. Simultaneously, Prasad et al. conducted corresponding experiments and compared them to the simulation results.
Although considerable research has been conducted on heat transfer processes and sweat evaporation through fabric, all these experiments and simulations have used commercially available clothing materials such as cotton, nylon, polyester, and with specialty finishes applied to those materials, and so on. Sullivan et al. [
4] proposed a garment cooling system in 2015 based on CNT fabric for FFs. The work proposed a type of specialized clothing that incorporates a CNT sheet into the FFs’ clothing and connected the CNT sheet to a cold sink, which effectively lowered the FFs’ skin temperature. By developing a finite element model for simulation analysis, the cooling system could be designed to protect the FF and reduce skin temperature. Heat transfer theory and information on CNT materials is available [
5,
6,
7,
8].
Indeed, the importance of a cooling system is underscored by the fact that, according to [
9,
10], about 100 FFs died on-duty in the United States in 2020. About one third of the FFs listed by the US Fire Administration (USFA) died due to the COVID-19 virus. Roughly one-third died possibly due to heat-related complications such as heart attacks, burns, and vascular problems. About one-third died due to accidents and other reasons. While FFs must work in harsh environments, their clothing is made of Kevlar/Nomex materials that were developed 50 years ago to insulate a large amount of radiant heat from the environment. However, these materials not only block heat from the outside, but also insulate a significant amount of metabolic heat generated by the body within the clothing, further complicating the already multi-faceted issues of the environments in which FFs must operate. For the first time, Sullivan et al. proposed to incorporate a CNT sheet into FF protective clothing. After exposure to heat flow, the average skin temperature of the model with the CNT layer and cold reservoir was found to be 6 °C lower than that of the model without the CNT layer and cold reservoir based on a finite element simulation. In contrast to that study and other researchers’ work, this current paper [
11] develops simple heat transfer models for CNT materials used in FF protective clothing [
12]. Also, Sullivan et al. used ice as the primary material for a cold sink to absorb most of the heat generated by the body and the surrounding environment. However, ice significantly increases the FF’s weight load and the metabolic heat generated within the FF’s body. Additionally, when ice absorbs sufficient heat, it melts, significantly reducing the efficiency of subsequent heat absorption. Furthermore, Sullivan et al. did not consider the effect of sweat on body heat dissipation and airflow throughout the fabric [
4].
In another work [
13], Elgafy et al. developed a heat transfer model for carbon foam materials to be used in FF uniforms. Although the heat transfer model was primarily concerned with the thermal protection performance of carbon foam fabric, a comprehensive heat conduction model of FF-specific apparel was constructed in a systematic manner, which is the same as the central issue presented in the current paper. Ahmed Elgafy et al. investigated and optimized the thickness, thermal conductivity, porosity, and density of carbon foam fabric for FF apparel design. The developed heat conduction model was two-dimensional, similar to the design model presented in this paper. However, Elgafy et al. simulated heat conduction using ANSYS Fluent CFD software, while our study employed MATLAB and standard heat transfer formulas. Carbon foam fabric has low thermal conductivity in all directions, and low density. CNT fabric has low thermal conductivity through the thickness and high thermal conductivity in the plane of the fabric, and low density. Elgafy et al. focused on reducing the weight of FF apparel while maintaining a specific level of heat insulation performance. Since carbon foam fabric is unable to remove significant amounts of heat from the garment system, FFs can only operate in high temperature environments for a limited period of time. In comparison, the CNT fabric FF glove proposed can isolate a significant amount of heat from the environment while actively removing heat, including metabolic heat, by forced convection.
Onofrei et al. [
14] examined heat transfer via multilayer protective clothing when subjected to modest levels of thermal radiation. They created a mathematical model of heat transfer in protective clothing exposed to a low degree of radiant heat flow in a typical fire environment. The mathematical model was based on the finite element approach and was produced using the COMSOL Multiphysics tool. The computational results showed the temperature variation at the protective garment system’s inner face over time when exposed to a low-radiant heat flux and during the cooling-down phase. Simultaneously, the model predicted first- and second-degree burns by merging a heat transmission model through a multilayer protective system with a skin heat transfer model. Even at modest levels of thermal radiant heat flux, the results suggested that a standard three-layer thermal protective garment system is required to protect the user from skin burn injury. Onofrei et al. also investigated heat transfer via protective garments in response to temporal variations. In comparison, the current article’s simulation model focuses only on the steady-state temperature distribution across a CNT fabric FF glove garment. This model takes into account the thickness, convective area, air movement, and moisture content of human sweat simultaneously, providing more information and realistic simulation results.
This paper [
11] considers CNT fabric material that, unlike conventional materials, is a thermal insulator through its thickness but is a thermal conductor in-plane. Thermal conductivity in-plane can be used to distribute heat, thereby reducing hot spots on clothing, and increase sweat evaporation as heat and moisture are wicked across the surface. To investigate directional thermal conductivity, this paper relies on simulations and preliminary experiments involving the layering of conventional fabrics with CNT fabric. Additionally, particles such as granulated activated carbon (GAC) can be incorporated into the CNT fabric to improve certain properties such as thermal conductivity or breathability. Carbon hybrid materials (CHM) are defined here as conventional fabric materials constructed (layered) with CNT fabric materials that may contain enhancing particles. Essentially, CHM is a composite of CNT fabric, with optional nanoparticles inside, and conventional fabrics that can be used to design industrial personal protective equipment (PPE). Personal protective gloves made with CHM can aid in the cooling process and reduce heat stress on the FF. Simultaneously, the CHM material may prevent toxic gases and particles from penetrating through the fabric, which prevents contact with cancer-causing materials. In this paper, a glove incorporating CNT fabric is designed. The optimal design of the glove depends on specific environmental and material variables. This type of modeling is not fully developed. Thus, this paper develops a simple model of an active textile glove for personal protection to investigate the heat spreading of CHM and heat transfer through a glove. In this case, the main heat source comes from the environment. A primary cause of death for FFs is increased body stress and heart attacks caused by metabolic overheating. In terms of clothing design and FF equipment, a primary contributor to this problem is the excessively heavy and highly insulated turnout gear. Using heavy protective equipment in extreme conditions causes the FF’s body to generate additional metabolic heat. To compound the issue, the turnout fabric system’s insulating and adiabatic properties can trap significant amounts of metabolic heat, aggravating the situation for FFs. In such a scenario, the application of CHM fabric may reduce the weight of the clothing, thereby achieving the benefit of reducing the metabolic heat generated by the FF. Reduced the thickness and weight of the fabric also alleviates extra bulk, and provides added dexterity, flexibility, and range of motion for the FF while wearing the gear. This can lead to increased comfort and improved dexterity, which may reduce the risk for injury in service.
A glove was considered for this initial study because the amount of CNT fabric needed is less than in larger garments such as coats or pants. Conductive and convective heat transfer were emphasized in the construction of the FF glove simulation model. This model simulates the heat transfer process through the CHM fabric layers of an FF glove, which includes heat sources through two sides of the glove from the external working environment (the hand and glove both have two sides). Metabolic heat generated by the human body and the evaporation processes were not included in this model. The model only considers the heat from the external work environment because the metabolic heat generated by the hand is small in comparison to the external heat of the conditions simulated. Simultaneously, a prototype FF glove with CHM fabric and a cooling fan was constructed. Preliminary thermal testing was carried out to support the model simulation results and design feasibility. In this case, natural convection was compared to forced convection, indicating that air flow is very important in FF apparel design. The simulation enabled an examination of the sensitivity of design parameters and the extent to which CHM fabric can aid in the protection of FFs. Textiles with forced cooling and thermally conductive fabric provide enhanced protection compared to conventional fabric and are called active textiles.
2. Materials and Methods
2.1. Theoretical Background for Heat Transfer
The active textile gloves were designed on the basis of heat transfer theory, which includes thermal convection, thermal conduction, and thermal radiation. However, only thermal convection and thermal conduction are explicitly modeled in the simulation model. The reason for this is that thermal radiation is complicated to model in clothing design, and its effect is context dependent. The simulation model of the active textile gloves enables the basic examination of the CNT sheet’s general thermal properties and application scenarios. As a result, this model effectively simplifies the heat transfer model by specifically considering thermal convection and thermal conduction. Within the thermal conduction model, the simplification includes heat transfer via heat radiation. Thermal radiation is approximately combined with thermal conduction and enters the next layer of materials in this simplified model, which eliminates the need for thermal radiation equations to be programmed in the numerical model.
The first law of thermodynamics for a closed system can be explained in Equation (1), where
Q is the heat transfer rate (Watts),
W is the work rate (Watts),
U is the rate of change of internal thermal energy (J) in the system, and
t is time (s) [
5].
Heat flows through a solid by a process called thermal diffusion, or simply diffusion or conduction [
6] (p. 87). Fourier’s law of conduction is explained in Equation (2):
where
is the rate of heat transfer by thermal conduction (Watts),
is the thermal conductivity (W/mK),
is the local temperature (K),
is the distance in the direction of the heat flow (m), and
is the area through which heat is transferred (m
2) [
6] (p. 10). In Equation (2), heat flows from higher to lower temperature areas by the second law of thermodynamics. The rate of heat transfer by convection between a surface and a fluid is given by Equation (3):
where
represents the rate of heat transfer by convection (
W),
represents the area of heat transfer (m
2), Δ
T represents the temperature difference between the surface temperature and temperature of the fluid (K), and
represents the average convection heat transfer coefficient over the area,
(W/m
2K) [
6] (p. 21). At the same time, there are several significant parameters in thermal convection theory. First, the boundary layer should be considered. The viscous force is dependent on the shear stress, τ, as shown in Equation (4) [
6] (p. 288).
Here,
μ is the dynamic viscosity (Ns/m
2), and
du/dy is the velocity gradient. The unit for the velocity gradient is s
−1. Thus, based on this definition, the boundary layer is the area where the velocity of the fluid decreases due to the viscous forces. The dimensionless Reynolds number (
Rex, Equation (5)) determines if the fluid flow is laminar flow or turbulent.
In Equation (5),
is the free-stream velocity (m/s),
is the distance from the leading edge (m),
v is the kinematic viscosity (m
2/s) of the fluid flow, and
ρ is the density of the fluid (kg/m
3) [
6] (p. 288).
The evaporation of sweat (considered to be small for a low work activity example case) and metabolic heat generated by the hand (considered to be small in comparison to the external heat in the model) have been excluded from the glove simulation model. This simulation model is concerned with thermal conduction and convection, as well as the modeling of the CNT sheet within the glove. Another critical parameter in convective heat transfer is air flow. Between the layers of the glove is an air gap that allows for air exchange while the glove is being worn. The cooled glove design incorporates a small blower fan that circulates air between the glove’s layers, generating airflow when the glove is in heavy use (when the hand temperature exceeds a set value). Forced convection heat transfer is modeled using the air flow within the fabric layers.
2.2. Carbon Nanotube Fabric
The properties of CNTs have been extensively studied over the last two decades, including their mechanical, electrical, and thermal properties. CNT yarn and sheet manufactured using the floating catalyst method exhibit acceptable mechanical properties [
7]. The combined flexibility, electrical and thermal conductivity, low density, and flame resistance of CNTs are unmatched by any other fiber or sheet on the market [
7]. The superior properties are due to van der Waals forces forming bundles of CNTs and the entanglement between bundles, akin to nonwoven fabric constructions. The tensile strength of this type of CNT fabric is approximately 0.4 GPa and is highly correlated with gauge length [
7]. The electrical conductivity of CNT fabric produced by the floating catalyst method is about 1 × 10
4 S cm
−1 However, the electrical conductivity of CNTs can be increased by adding nanoparticles to the material during the synthesis process [
7]. As a result of CNT materials’ good electrical properties (good electrical and thermal conductivity, high maximum current density, light weight, and non-corrosive behavior), a wide variety of products related to electrical conductivity and electromagnetic shielding can be designed using them.
The thermal properties of CNT fabric determined the design of the active textile glove. However, due to a dearth of research in this area, the thermal properties of CNT fabric and yarn materials synthesized via the floating catalyst method were not significantly studied or optimized [
7]. The thermal properties of CNT fabric have been inconsistently reported due to a variety of measurement techniques and different processes associated with manufacturing the material. The experimental thermal conductivity of CNT yarn is 770 ± 10 W (m K)
−1 according to the research done by Gspann et al. [
7]. The thermal conductivity of CNT fabric in-plane is estimated to be in the order of 100 W (m K)
−1 and in the order of 1 W (m K)
−1 transverse to the plane. For reference, the room temperature thermal conductivity of aluminum is 237 W (m K)
−1, and copper is 401 W (m K)
−1. The thermal conductivity of CNT fabric also varies greatly depending on the density of the material. The anisotropy in thermal conductivity between in-plane and through the thickness directions can differ by a factor of 100. Another recent paper examined the convective heat transfer properties of CNT sheets. Jiang et al. [
8] determined the natural convective heat transfer coefficient of a CNT sheet to be 69 W (m
2 K)
−1, which is greater than that of aluminum foil in the same measurement environment [
8].
A CNT sheet with a thickness in the tens or hundreds of microns range has a high thermal conductivity in-plane and a large convective heat transfer coefficient. The horizontal and vertical heat transfer conduction coefficients of CNT sheets can be taken advantage of in garment design. CNT sheets have a high value of thermal conductivity in-plane which is appropriate for spreading heat; and a low value in the transverse direction (through the thickness), which is appropriate for insulating heat. We believe the difference between the thermal conductivity of CNT fabric in-plane versus through-the-thickness is due to the fact that the through-the-thickness direction has a greater number of nanotube–nanotube interfaces compared to the in-plane direction. CNTs produced by the floating catalyst method are approximately 1 mm in length and a few nm in diameter. A sock of CNT (microscopically a web of nanotube bundles) is formed in the synthesis process. Individual CNTs bundle together to form strands of approximately ten nanotubes. The strands agglomerate together in the synthesis process in the reactor in a random orientation. The sock or web of nanotube bundles exits the reactor tube and is wrapped layer by layer onto a rotating drum to form a planar sheet or fabric. There is a nanotube-to-nanotube end to end interface or junction about every 1 mm (106 nm) in the plane of the fabric. The junctions are a source of thermal resistance, and their total number should be kept to a minimum. Nanotube to nanotube junctions occur approximately every 3 nm in the through the thickness direction. As a result, there are significantly more junctions in the through the thickness direction than the in-plane direction. Thus, the thermal conductivity, and the electrical conductivity, in the through the thickness direction is significantly lower than in the in-plane direction. This directional thermal conductivity property can be used to design active textile garments because the CNT sheet can reduce heat transfer into the human body and assist the convection process inside the garment and glove, making it an excellent material for improving the comfort of FF on the scene of a fire and reducing the risk of injury. Thermal conduction depends on the material’s surface area and thickness, not just on its thermal conductivity coefficient. Thus, heat conduction must be determined by the specific fabric design, the coefficient of thermal conduction, the area and thickness of the fabric material, and the temperature difference across the fabric. To fully understand the behavior of CNT fabric in FF apparel, a heat transfer model is needed.
2.3. Glove Heat Transfer Model Construction
A MATLAB simulation model of the active textile protective glove that could be worn by FF and welders was built using the heat transfer equations introduced in the theoretical background. The model is focused on convective and conductive heat transfer through the glove’s various fabric layers. According to heat transfer theory, the simulation model includes an air flow component; as air flow increases, convective heat is transferred. The simulation model of the glove, based on a realistic glove design, takes into account the two-sided (top and bottom surfaces of the glove) heat input from the environment. The simulation model has two components: a heat transfer model and a glove model. In the heat transfer model, the hand is connected to the arm. The glove model, meanwhile, contains two fabric layers. The outer layer of the glove is made of thermal insulating material and the second layer is a CNT sheet layer. The CNT layer aids in convective heat transfer. The low thermal conductivity of CNT material through its thickness allows the glove to also act as a thermal insulation material, which reduces the amount of heat entering the glove from the environment. The most critical aspect of the glove design is modeling the CNT fabric. In the model, the two-layer fabric system is in contact with the surface of the hand.
In the convection and conduction model, heat from the environment is transferred into the garment and then through the CNT sheet to the hands. The temperature in a FF’s working environment may temporarily reach to 100 °C when the glove is in contact with a hot object. However, the safe operating temperature for humans is approximately 40 °C. Understanding the convective and conductive heat transfer will assist in lowering the temperature to a level that is safe for FFs.
Figure 1 illustrates the theoretical model of a glove created in MATLAB.
In the glove system, the hand and arm are linked. The blue boxes here represent various components of the numerical simulation model. Glove 1 refers to the glove’s upper-side outermost layer. Glove 2 is the down-side outermost layer of the glove. CNT 1 is a CNT sheet layer that contacts the palm of the hand. CNT 2 is a CNT sheet layer that contacts the back of the hand. Convection 1 and convection 2 represent the simulation system’s two convection zones. Based on the model system, a simulation matrix with 22 equations was programmed in MATLAB. Solving the equation provides the steady-state heat flows and temperatures throughout the glove [
11]. The 22 heat transfer equations for the glove model are given in the
Supplementary Materials.
4. Discussion
A problem with current types of gloves is that, on the one hand, they insulate or guard against heat input from a hot external environment. On the other hand, they prevent metabolic heat generated by the human body from escaping. Considering a hot external environment, and a high level of physical exertion, heat stress in workers can accumulate over time partially due to heat input to the body from the hands due to the insulating gloves. Heat stress can lead to hyperthermia (abnormally high body temperature) with symptoms of fatigue, sudden dizziness, cramps, exhaustion, and stroke. Firefighters—both structural and wildland-first responders—soldiers, industrial workers, and other front-line essential workers are at risk for hyperthermia. Therefore, apparel that can reduce heat stress can have safety and performance advantages. An active textile glove uses a carbon nanotube (CNT) fabric liner and forced convection to cool the hands. CNT fabric has high thermal conductivity in the plane of the fabric, but low thermal conductivity in the through the thickness direction of the fabric. Due to the high thermal conductivity in the plane of the fabric, and the heat transfer from the CNT fabric due to forced convection, a significant amount of heat can be transferred from the hand to the surrounding environment. Due to the low thermal conductivity through the thickness, CNT fabric can insulate the hands and forearms from heat generated by a high-temperature local environment. Thus, the directionality of the thermal conductivity of CNT fabric can be exploited in the design of safer gloves. The performance of a CNT cooled glove was simulated using simple theoretical heat transfer models programmed using MATLAB. The developed heat transfer algorithm incorporates conduction, convection, and an approximate model of radiation. The thermal performance of gloves with integrated CNT fabric and forced convection cooling was then predicted using this simulation model. Cooling using external air and using a cold sink was considered. Modeling enabled the optimal thickness and design of the glove fabric to be determined. The modeling showed that heat transfer in plane is limited by the small cross-sectional area of the thin CNT fabric, while heat transfer through the thickness of CNT fabric is significant due to the large surface area and the thin fabric. Heat transfer through the thickness also occurred by convection in the air space and radiation. Testing using a hot plate demonstrated the cooling of the glove. The greatest cooling was provided by forced convection. The CNT fabric aided in convection cooling. CNT fabric also has shielding properties, including flame resistance and the attenuating of radio frequency waves, and prevents environmental contaminants such as smoke particles and toxic chemicals from entering the glove. Testing demonstrated the shielding properties of the CNT fabric.
Usually, protective textiles are used when the wearer needs extra protection from external hazards [
15]. When it comes to protective textiles, the wearer expects and assumes the textile will provide some form of thermal protection. In this paper, we report on CNT fabric having anisotropic or directional thermal conductivity properties. An example of the possible behavior of a fabric with directional thermal conductivity is given. Consider that a glove (textile containing CNT fabric) contacts a hot object. We expect, due to the directional thermal conductivity of the CNT layer, the heat will eventually spread across the area containing CNT fabric. As a result, this will possibly assist in regulating the wearer’s metabolic heat and the heat will not be localized to a single area (as in traditional flame retardant/resistant textiles). Thus, reporting the thermal performance of CNT fabric in active textiles is important because it may provide prolonged functional performance and protection against hot environment occupational hazards. Also, since the CNT fabric is thin, heat is transferred by conduction over short distances, but the heat is mainly transferred by convection owing to the surface area for convection being much larger than the cross-sectional area available for conduction.
5. Summary and Conclusions
In the design of this cooled glove, the simulation model produced a similar trend in cooling to the prototype glove when air flow was allowed to circulate between the fabric layers in the glove. The temperature at the center of the hand decreased as the air flow velocity increased. The simulation results indicated that an air flow velocity of 1–2 m/s was appropriate for this model. The temperature of the convection area (i.e., the air used for cooling the glove) had a significant effect on the temperature at the center of the hand. As a result, the provision of a convection area at a low temperature is critical in the design of such gloves. Therefore, in hot conditions, a cold sink is needed in the design of gloves for FFs. Adding ice or a phase change material to the convection area in the cuff or the glove can provide the cool air needed for a limited time. The design of the FF glove was complicated and further optimization and study is needed. The purpose of the simulation model was to validate the feasibility of the application of CNT fabric in the FF glove. Therefore, a basic one-dimensional steady state model was useful for a preliminary understanding of the glove design. For the model to simulate the transient heat transfer, the simulation would have to be more complicated, and this will be considered for future work. If the glove design concept is successful in the future, it may increase safety for FFs, first responders, and other high-risk occupations by preventing a significant amount of heat generated by the high-temperature environment being transferred by reaching the hand. The glove can also spread metabolic heat. The added weight from the CNT fabric and cooling system is a trade-off in the design. Overall, the active textile glove with a micro CNT fabric layer and forced convection can reduce heat stress in FFs and first responders, which is a health benefit. The thin CNT fabric can protect against flame, potentially improve dexterity, and enable FFs to perform precise motions. The thermal insulation materials currently used are thick, impeding first responders’ work, thus decreasing operation accuracy. The shielding properties of CNT fabric are additional advantages and protect the FFs against toxic chemicals and smoke particles. A composited nanofabric with four layers was proposed for use in FF gloves. Looking ahead, the cost of CNT fabric must be reduced to make active textiles more practical.