**2. Smart Flow Control in Pumps**

A pump is one of the most important devices in fluid transportation systems. Research aiming at the flow field and pressure characteristics is of great importance for improvement of the operating performance.

Bai et al. [1] numerically studied the influence of pressure fluctuations and unsteady flow patterns in a pump flow channel with different diffuser vane numbers. The results indicate that the lower number of diffuser vanes was beneficial to obtain weaker pressure fluctuation intensity.

Cao et al. [2] investigated the whole flow field of a low specific speed centrifugal pump with five blades at different flow rates in order to study the near-wall region flow characteristics in a low-specific-speed centrifugal impeller. The main contribution of this work is the illustrations of pressure distribution and relative velocity distribution profiles on the pressure side of different blades.

Si et al. [3] studied the mechanism of radiated noise and its relationship with hydraulics in centrifugal pumps via a numerical method combined with an experimental approach. The results reveal that the radiated noise exhibits a typical dipole characteristic behavior and its directivity varies with the flow rate. In addition, Si et al. [4] carried out an experimental and numerical study aiming at the internal flow characteristics under gas-liquid two-phase flow in a miniature drainage pump. The pump performance and emitted noise measurements were monitored at various conditions. The study is a good reference for low noise design of drainage pumps.

Wang et al. [5] also analyzed the gas-water two-phase flow in a self-priming centrifugal pump. The results illustrate the three stages in a self-priming process. The effect of the middle stage is highlighted, which further determines the length of the self-priming time.

Jiao et al. [6] studied the three-dimensional cavitation flow in a waterjet propulsion pump based on Zwart–Gerber–Belamri cavitation model and the RNG (Renormalization Group) k-ε model. The study demonstrates that the potential dangerous regions of cavitation are the lip of the inlet passage and the upper and lower connecting curved section of the inlet passage.

Luo et al. [7] analyzed the unsteady flow process in waterjet pumps to improve the overall performance and optimization of the structure design. The surface vortex of the blade and the unsteady flow process of the propulsion pump at different times of the same period were demonstrated.

Cao et al. [8] studied the evolution of vortex structures in a laminar boundary layer over a flat plate by the Fourier spectral hybrid method. Results show that the maximum amplitudes of the vortex structures experience a process of linear growth and nonlinear rapid growth. The change in the mean flow profile further induces or promotes the growth or formation of vortex structures.

Jin et al. [9] investigated the external flow characteristics and pressure fluctuation in a submersible tubular pumping system. Results indicate that the pressure pulsation is less affected by the blade frequency with an increase of the measuring point from the impeller.

Xue et al. [10] proposed a design method based on Amesim and a Python script for the purpose of multi-objective optimization in static and dynamic performances of a pump-driven actuator. The mapping between the design parameters and the relations between the objectives are plotted. The results highlight the feasibility of the proposed method in achieving the multi-objective optimization.

Zhang et al. [11] investigated the structural characteristics of an ultra-high pressure axial piston pump. Via an analysis of the oil film pressure and thickness in different rotating angles of the piston–cylinder pair, it was found that the oil film pressure achieves the maximum value when the rotating angle increases to 90◦, while the film thickness reaches the minimum at the same time.

Zheng et al. [12] provided a fluid pressure signal method for hydraulic pumps based on Autogram for solving the fluid pressure fluctuations caused by the center spring wear faults. The results highlight the superiority of standard Autogram on the extraction of fault feature information on center spring wear when comparing with upper Autogram and lower Autogram. Moreover, a novel method named as improved wavelet transform (IEWT) was proposed by Zheng et al. [13] in order to solve the segment over-decomposition obtained by the empirical wavelet transform (EWT). The proposed method was shown to be superior for eliminating the over-decomposition of the fault feature information.

#### **3. Smart Flow Control in Valves**

Valves play a significant role to change the flow rate, pressure and directions of fluids. Smart valves can turn out smart control of fluids.

Lei et al. [14] suggested a novel method depending on the Machine Learning Service (MLS) HUAWEI CLOUD to achieve accurate diagnosis of hydraulic valve faults. The method combines advantages of Principal Component Analysis (PCA) in dimensionality reduction and the eXtreme Gradient Boosting (XGBoost) algorithm and proves to be highly effective for identifying valve faults in the hydraulic directional valve.

Liu et al. [15] studied the throttling characteristics of the diaphragm valve. In order to identify the optimal design of the flow path profile, two-dimensional simulation of the Weir diaphragm valve flow field was conducted. The study shows that the flatting of the ridge side wall, widening of the ridge top and the gentle flatting of the internal protruding of the flow path prove to be three positive approaches for the improvement of the throttling characteristics.

Lu et al. [16] presented an investigation aiming at the oscillating flow field of the double-nozzle flapper servo valve pre-stage through Large Eddy Simulation (LES) turbulent modeling. Meanwhile, the User-Defined Function (UDF) was introduced to control the main stage movement. The results highlight the structure and flow parameter effect on the oscillating flow. In order to illustrate the damage caused by the increase of the injection pressure in the high pressure pump unloading valve ball, a theoretical calculation of the pressure relieve valve and the fatigue numerical simulation was carried out by Lu et al. [17]. Results indicate that the high pressure relief valve ball in the direct injection high

pressure pump should not be a traditional structural damage under high pressure conditions and the surface damage of the valve ball is microscopic damage, such as fretting wear.

Qiu et al. [18] investigated the pressure drop and cavitation characteristics in the sleeve-regulating valve in different pressure differences and valve core displacements using the multiphase cavitation model. The results show that the decrease of the valve core displacement induces the enlargement of the vapor distribution region and the increase of the vapor density. The effects of the pressure difference on the cavitation intensity are more prominent with the decrease of the valve core displacement. The work provides valuable instructions for the cavitation control of the sleeve regulating valves.

Wu et al. [19] studied the flow and loss coefficients in a wedge-type double disk parallel gate valve. Effects of the Reynolds number, valve opening degree and groove depth were analyzed. The results suggest that a large groove depth should be selected to provide a large flow coefficient during the design process. However, during the machining process, the machining accuracy should be satisfied in order to avoid stress concentration of the bolt.

Besides, bileaflet mechanical heart valves (BMHVs) are widely used as the alternatives of diseased heart valves. Xu et al. [20] performed simulations of unsteady flow in a BMHV and pressure pulsation characteristics under different flow rates and leaflet fully opening angle conditions were investigated. The work provides a good reference for the alleviation of leaflet vibration phenomenon in BMHVs.

#### **4. Smart Flow Control in Microfluidics**

Droplet flow and microflow control in microfluidics are extensively studied.

Qian et al. [21] investigated the characteristics of droplets in a dynamic injection flow rate by the Volume of Fluid (VOF) method combined with UDF. The study presents a novel aspect of the droplet flow since the droplet generation is always at a constant flow rate of two phases in most researches.

Zhang et al. [22] studied the hydrodynamics of droplets passing through metal foam by the lattice Boltzmann method (LBM). The critical capillary number was identified. Results show that the droplet continues to be deformed until it breaks up when the capillary number is larger than 0.61. In order to avoid the calescence of the adjacent droplet, the distance between the droplets should be larger than three times the diameter of the droplet.

Li et al. [23] investigated the two-phase flow inside a grooved rotating-disk system both in experimental and numerical methods. Visualization tests indicated that the flow field of the system was an air–oil flow. The stable interface between the continuous oil phase and the two-phase area could be formed and observed.

Guan et al. [24] proposed a miniaturized, easily processed, and inexpensive xenon micro flow control device (XMFCD) in order to reduce the volume and weight of the traditional XMFCDs. The design of the proposed XMFCD is based on complex three-dimensional (3D) microfluidic channels while the fabrication process is based on low-temperature co-fired ceramic (LTCC) technology and it was illustrated in detail.

#### **5. Smart Flow Control in Mechatronic Systems**

In mechatronic systems, there are many flow control issues, and smart flow control can improve the efficiency of mechatronic systems significantly.

A rolling mill with a hydraulic system is widely used in the strip steel industry. The vertical vibration seriously affects the stability of the rolling mill system. Zhang et al. [25] analyzed the effects of the equivalent damping coefficient, leakage coefficient, and proportional coefficient of the controller on the hydraulic screw-down system of the rolling mill. Results suggest that in the closed-loop state, when Proportional–Integral–Derivative (PID) controller parameters are fixed, the system will have parameter uncertainty due to the change of the equivalent damping coefficient and internal leakage coefficient.

Yuan et al. [26] investigated the dynamics, flow responses and power consumption theoretically and experimentally in hydraulic systems using the switched inertance hydraulic converter (SIHC). Results highlight the superiority of the SIHC in operation involving high pressures and delivery-flow rates.

Qian et al. [27] proposed a static deformation-compensation method based on inclination sensor feedback for large-scale manipulators to reduce the deviation of the endpoint in manipulators with hydraulic actuation. Compared to the finite element method, the proposed method considers less boundary conditions, which are uncertain for flexible manipulators in most situations.

Zhu et al. [28] revealed the bifurcation characteristic of the load vertical vibration of the hydraulic automatic gauge control (HAGC) system through the investigation of the nonlinear factors such as excitation force, elastic force and damping force. Results point out that the resonance region can be effectively avoided by adjusting the nonlinear stiffness coefficient and the stability of the system will be promoted as well. In addition, Zhu et al. [29] described the function of the key position closed-loop system in HAGC. Results indicate that the absolute stability conditions of the position closed-loop system are derived whether the spool displacement is positive or negative.

Li et al. [30] introduced a new method for the evaluation of the blood cell damage and the observation of the real-time characteristics of blood flow patterns in vitro using rheometer and bionic microfluidic devices. The damaged erythrocytes were collected and injected into a bionic microfluidic device. Analysis of the captured images indicate that with the increase of shear stress suffered by the erythrocyte, the migration rate of damaged erythrocyte in bionic microchannel is significantly decreased.

Yuan et al. [31,32] investigated the natural frequency sensitivity and dynamic behaviors of the fire-fighting jet system. An adaptive gun-head design was proposed to achieve the fluid–structure interaction and discrete–continuous coupling characteristics and the sensitivity calculation formulas of the natural frequency was derived of the jet system to typical design parameters [31]. Focusing on the adaptive fire-fighting monitor, influence of the nonlinear fluid spring force on the dynamic characteristics was investigated. Results indicated that in the design of a fire-fighting system, the interval of the input shaft speed of the pump, and the pulsation frequency of the output fluid should be avoided [32].

Finally, in order to analyze the appropriate numerical simulation method for the investigation of the hydraulic performance, the mixing process and the flow law in the venturi injectors were considered by Li et al. [33]. Flow characteristics of the internal flow field obtained with and without the cavitation model were both compared with the experiments. Results indicate that the cavitation model has better agreement with experiments.

#### **6. Conclusions**

In this special issue, 33 papers are presented and they relate to smart flow control in pumps, valves, microfluidics and mechatronic systems. We believe that smart flow control, especially at microscales, will become more important and useful in the near future.

We would like to express our heartfelt gratitude to all the scientific contributors of the papers submitted to this Special Issue.

**Author Contributions:** Conceptualization, J.-y.Q. and J.Z.; Methodology, J.-y.Q. and Z.W.; Data Curation, J.-y.Q., J.Z. and Z.W.; Writing—Original Draft Preparation, J.-y.Q.; Writing—Review & Editing, J.-y.Q. and B.S. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research was funded by the National Natural Science Foundation of China, through grant number 51922093 and 51805470; the National Key R&D Program of China, through grant number 2019YFB2005101; and the Yucai Project of Zhejiang Association for Science and Technology.

**Conflicts of Interest:** The authors declare no conflict of interest.

#### **References**


© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
