[1] LI N, FEI P, TOUS C et al. Human-scale navigation of magnetic microrobots in hepatic arteries[J]. Science Robotics, 9(2024).

[2] HUANG J, YANG J L, LI L J et al. The aggregation of micro-particles based on hydraulic vortices[J]. Physics of Fluids, 36(2024).

[3] CHEN S, LIU H D, JI J J et al. An indirect drug delivery device driven by piezoelectric pump[J]. Smart Material Structures, 29(2020).

[4] CHEN S, WANG S Y, XIE X Y et al. Practical research on computer chip water cooling system with combined piezoelectric pump unit[J]. Opt. Precision Eng., 26, 1140(2018).

     陈松, 王淑云, 谢心怡. 组合式压电驱动芯片水冷系统[J]. 光学 精密工程, 26, 1140(2018).

[5] YANG Z Y, QU M, GLUESENKAMP K R. Ammonia-based chemisorption heat pumps for cold-climate heating applications： a comprehensive review[J]. Applied Thermal Engineering, 179, 115674(2020).

[6] VELMURUGAN K, SHRIVASTAV A, BHARATH S et al. Evaluating dynamic， fluid flow and performance parameters of piezoelectric based micro-blower： a two-dimensional axisymmetric numerical approach[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 46, 370(2024).

[7] CHEN S, HUANG Z, CHENG W et al. Design of a piezoelectric pneumatic linear actuator in cell manipulation[J]. Journal of Intelligent Material Systems and Structures, 35, 797-808(2024).

[8] WU Y P, YUAN Q, REN K B et al. Bidirectional energy-controlled piezoelectric shunt damping technology and its vibration attenuation performance[J]. International Journal of Mechanical System Dynamics, 4, 63-76(2024).

[9] PENG T J, GUO Q Q, YANG J et al. A high-flow， self-filling piezoelectric pump driven by hybrid connected multiple chambers with umbrella-shaped valves[J]. Sensors and Actuators B： Chemical, 301, 126961(2019).

[10] ZHAO L Q, JI J. Principle and experimental verification of valve-less pump[J]. Opt. Precision Eng., 27, 2639-2649(2019).

     赵丽清, 纪晶. 新型无阀泵机理与试验验证[J]. 光学 精密工程, 27, 2639-2649(2019).

[11] PAN Q S, LI Y H, DIAO W D et al. Design and investigation of a resonant piezoelectric pump with high output pressure using a displacement-amplifying vibrator[J]. Smart Material Structures, 31(2022).

[12] SUN Y M, DENG L Y, WANG L et al. A phase modulation method of sine signal for dual-active-valve piezoelectric pump[J]. Measurement Science and Technology, 35(2024).

[13] ZHANG Y, LI J Y, WANG X L et al. Design and research of a valve-based piezoelectric pump with low forward resistance and high reverse shutoff[J]. Journal of Micromechanics and Microengineering, 33, 105002(2023).

[14] WU G H, JIANG H, LI B. Design of a dual-stage driving circuit for piezoelectric-actuated micropump with bimorph transducer[J]. IEEE Sensors Journal, 22, 16027-16035(2022).

[15] YIN Y, ZHOU C, ZHAO F et al. Design and investigation on a novel piezoelectric screw pump[J]. Smart Materials and Structures, 29(2020).

[16] 黄俊, 朱宜超, 施卫东. 钹型开槽式阀压电泵的设计[J]. 光学 精密工程, 25, 2914(2017).

     HUANG J, ZHU Y C, SHI W D et al. Design of cymbal shape slotted valve based piezoelectric pump[J]. Opt. Precision Eng., 25, 2914(2017).

[17] XIE C X, ZHOU S S, ZHANG Y et al. Analysis of the characteristics of valveless piezoelectric pump with crescent dune bluff body[J]. Science Progress, 106, 368504231208503(2023).

[18] JASIM H F, ISMAEL M A. Thermal and fluid aspects of dual piezoelectric jet pump of double chambers[J]. Applied Thermal Engineering, 244, 122698(2024).

[19] XIA Q X, ZHANG J H, LI H. Valve-less piezoelectric pump with unsymmetrical slope chamber bottom[J]. Opt. Precision Eng., 14, 641-647(2006).

     夏齐霄, 张建辉, 李洪. 非对称坡面腔底无阀压电泵[J]. 光学 精密工程, 14, 641-647(2006).

[20] LEE C J, SHEEN H J, TU Z K et al. A study of PZT valveless micropump with asymmetric obstacles[J]. Microsystem Technologies, 15, 993-1000(2009).

[21] CHANDRASEKARAN A, PACKIRISAMY M. Improved efficiency of microdiffuser through geometry tuning for valveless micropumps[J]. Journal of Fluids Engineering, 138(2016).

[22] HUANG J, ZOU L, TIAN P et al. Development of a valveless piezoelectric pump with vortex diodes[J]. Journal of Micromechanics and Microengineering, 29, 125006(2019).

[23] HE L P, ZHAO D, LI W et al. Performance analysis of valveless piezoelectric pump with dome composite structures[J]. The Review of Scientific Instruments, 90(2019).

[24] HU D B, HE L P, ZHANG Z et al. Research on a valveless piezoelectric pump with inner concave triangle structure[J]. Microsystem Technologies, 28, 1935-1945(2022).

[25] SINGH S, KUMAR N, GEORGE D et al. Analytical modeling， simulations and experimental studies of a PZT actuated planar valveless PDMS micropump[J]. Sensors and Actuators A： Physical, 225, 81-94(2015).

[26] BIAN K, HUANG Z, BAO QB et al. Design and experiment of streamlined piezoelectric pump with low vortex and large flow rate[J]. Transactions of Nanjing University of Aeronautics & Astronautics, 37, 155-163(2020).

[27] LIU Y, DU J, LI J C et al. A stall diagnosis method based on entropy feature identification in axial compressors[J]. International Journal of Mechanical System Dynamics, 3, 73-84(2023).

[28] PEI J, SHEN J W, WANG W J et al. Evaluating hydraulic dissipation in a reversible mixed-flow pump for micro-pumped hydro storage based on entropy production theory[J]. Renewable Energy, 225, 120271(2024).

[29] HUANG J, GONG J Q, WANG L et al. Optimal design of fluidic diode for valveless piezoelectric pump based on entropy production theory[J]. Sensors and Actuators A： Physical, 356, 114342(2023).

[30] WANG L, YANG J L, AFFANE H et al. A high flow-rate single-chamber valveless piezoelectric pump with airfoil baffles[J]. Sensors and Actuators A： Physical, 354, 114229(2023).

[31] STEMME E, STEMME G. A valveless diffuser/nozzle-based fluid pump[J]. Sensors and Actuators A： Physical, 39, 159-167(1993).

[32] GUSTAFSSON B. Vortex motion and geometric function theory： the role of connections[J]. Philosophical Transactions of the Royal Society A： Mathematical， Physical and Engineering Sciences, 377, 20180341(2019).

[33] 童秉纲, 尹协远, 朱克勤[M]. 涡运动理论(2009).

     TONG B G, YIN X Y, ZHU K Q[M]. Vortex Motion Theory(2009).