Lattice Boltzmann simulation of the effects of cavity structures and heater thermal conductivity on nucleate boiling heat transfer

doi:10.1007/s10483-023-2982-7

摘要/Abstract

摘要： The boiling heat transfer technology with cavity surfaces can provide higher heat flux under lower wall superheat, which is of great significance for the cooling of electronic chips and microelectromechanical devices. In this paper, the boiling characteristics of the cavity surfaces are investigated based on the lattice Boltzmann (LB) method, focusing on the effects of cavity shapes, sizes, and heater thermal conductivity on the heat transfer performance. The results show that the triangular cavity has the best boiling performance since it has less residual vapor and higher bubble departure frequency than those of the trapezoidal and rectangular cavities. As the cavity size increases, the enhancement of heat transfer by the cavity mouth is suppressed by the heat accumulation effect at the heater bottom. The liquid rewetting process during bubble departure is the reason for the fluctuation of the space-averaged heat flux, and the heater thermal conductivity determines the fluctuation amplitude. The evaporation of liquid in the cavity with high thermal conductivity walls is more intense, resulting in shorter waiting time and higher bubble departure frequency.

关键词: lattice Boltzmann (LB) method, boiling, cavity, conjugate heat transfer

Abstract: The boiling heat transfer technology with cavity surfaces can provide higher heat flux under lower wall superheat, which is of great significance for the cooling of electronic chips and microelectromechanical devices. In this paper, the boiling characteristics of the cavity surfaces are investigated based on the lattice Boltzmann (LB) method, focusing on the effects of cavity shapes, sizes, and heater thermal conductivity on the heat transfer performance. The results show that the triangular cavity has the best boiling performance since it has less residual vapor and higher bubble departure frequency than those of the trapezoidal and rectangular cavities. As the cavity size increases, the enhancement of heat transfer by the cavity mouth is suppressed by the heat accumulation effect at the heater bottom. The liquid rewetting process during bubble departure is the reason for the fluctuation of the space-averaged heat flux, and the heater thermal conductivity determines the fluctuation amplitude. The evaporation of liquid in the cavity with high thermal conductivity walls is more intense, resulting in shorter waiting time and higher bubble departure frequency.

Key words: lattice Boltzmann (LB) method, boiling, cavity, conjugate heat transfer

中图分类号:

76D17

Fanming CAI, Zhaomiao LIU, Nan ZHENG, Yanlin REN, Yan PANG. Lattice Boltzmann simulation of the effects of cavity structures and heater thermal conductivity on nucleate boiling heat transfer[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(6): 981-996.

参考文献

[1] TANG, H., TANG, Y., WAN, Z., LI, J., YUAN, W., LU, L., LI, Y., and TANG, K. Review of applications and developments of ultra-thin micro heat pipes for electronic cooling. Applied Energy, 223, 383–400(2018)
[2] FAN, S. and DUAN, F. A review of two-phase submerged boiling in thermal management of electronic cooling. International Journal of Heat and Mass Transfer, 150, 119324(2020)
[3] MURSHED, S. M. S. and DE CASTRO, C. A. N. A critical review of traditional and emerging techniques and fluids for electronics cooling. Renewable and Sustainable Energy Reviews, 78, 821– 833(2017)
[4] TAKATA, Y., HIDAKA, S., and URAGUCHI, T. Boiling feature on a super water-repellent surface. Heat Transfer Engineering, 27(8), 25–30(2006)
[5] BETZ, A. R., XU, J., QIU, H., and ATTINGER, D. Do surfaces with mixed hydrophilic and hydrophobic areas enhance pool boiling? Applied Physics Letters, 97(14), 141909(2010)
[6] RAHMAN, M. M., POLLACK, J., and MCCARTHY, M. Increasing boiling heat transfer using low conductivity materials. Scientific Reports, 5(1), 1–11(2015)
[7] DENG, Z., LIU, X., WU, S., and ZHANG, C. Pool boiling heat transfer enhancement by biconductive surfaces. International Journal of Thermal Sciences, 167, 107041(2021)
[8] PATIL, C. M. and KANDLIKAR, S. G. Review of the manufacturing techniques for porous surfaces used in enhanced pool boiling. Heat Transfer Engineering, 35(10), 887–902(2014)
[9] EL-GENK, M. S. and ALI, A. F. Enhanced nucleate boiling on copper micro-porous surfaces. International Journal of Multiphase Flow, 36(10), 780–792(2010)
[10] HUTTER, C., KENNING, D. B. R., SEFIANE, K., KARAYIANNIS, T. G., LIN, H., CUMMINS, G., and WALTON, A. J. Experimental pool boiling investigations of FC-72 on silicon with artificial cavities and integrated temperature microsensors. Experimental Thermal and Fluid Science, 34(4), 422–433(2010)
[11] MA, X. and CHENG, P. Dry spot dynamics and wet area fractions in pool boiling on micro-pillar and micro-cavity hydrophilic heaters: a 3D lattice Boltzmann phase-change study. International Journal of Heat and Mass Transfer, 141, 407–418(2019)
[12] CAO, H., ZUO, Q., AN, Q., ZHANG, Z., LIU, H., and ZHANG, D. Lattice Boltzmann method for simulation of solid-liquid conjugate boiling heat transfer surface with mixed wettability structures. Physics of Fluids, 34(5), 053305(2022)
[13] LEE, W., SON, G., and JEONG, J. J. Numerical analysis of bubble growth and departure from a microcavity. Numerical Heat Transfer, Part B: Fundamentals, 58(5), 323–342(2010)
[14] PRECKSHOT, G. W. and DENNY, V. E. Explorations of surface and cavity properties on the nucleate boiling of carbon tetrachloride. The Canadian Journal of Chemical Engineering, 45(4), 241–246(1967)
[15] SHOJI, M. and TAKAGI, Y. Bubbling features from a single artificial cavity. International Journal of Heat and Mass Transfer, 44(14), 2763–2776(2001)
[16] DONG, L., QUAN, X., and CHENG, P. An experimental investigation of enhanced pool boiling heat transfer from surfaces with micro/nano-structures. International Journal of Heat and Mass Transfer, 71, 189–196(2014)
[17] CHANG, X., HUANG, H., CHENG, Y. P., and LU, X. Y. Lattice Boltzmann study of pool boiling heat transfer enhancement on structured surfaces. International Journal of Heat and Mass Transfer, 139, 588–599(2019)
[18] GONG, S., CHENG, P., and QUAN, X. Two-dimensional mesoscale simulations of saturated pool boiling from rough surfaces, part I: bubble nucleation in a single cavity at low superheats. International Journal of Heat and Mass Transfer, 100, 927–937(2016)
[19] FANG, W. Z., CHEN, L., KANG, Q. J., and TAO, W. Q. Lattice Boltzmann modeling of pool boiling with large liquid-gas density ratio. International Journal of Thermal Sciences, 114, 172– 183(2017)
[20] YU, C. K., LU, D. C., and CHENG, T. C. Pool boiling heat transfer on artificial micro-cavity surfaces in dielectric fluid FC-72. Journal of Micromechanics and Microengineering, 16(10), 2092(2006)
[21] HONDA, H. and WEI, J. J. Enhanced boiling heat transfer from electronic components by use of surface microstructures. Experimental Thermal and Fluid Science, 28(2-3), 159–169(2004)
[22] MA, X. and CHENG, P. Dry spot dynamics and wet area fractions in pool boiling on micro-pillar and micro-cavity hydrophilic heaters: a 3D lattice Boltzmann phase-change study. International Journal of Heat and Mass Transfer, 141, 407–418(2019)
[23] YU, Y., LI, Q., QIU, Y., and HUANG, R. Z. Bubble dynamics and dry spot formation during boiling on a hierarchical structured surface: a lattice Boltzmann study. Physics of Fluids, 33(8), 083306(2021)
[24] LI, Q., KANG, Q. J., FRANCOIS, M. M., HE, Y. L., and LUO, K. H. Lattice Boltzmann modeling of boiling heat transfer: the boiling curve and the effects of wettability. International Journal of Heat and Mass Transfer, 85, 787–796(2015)
[25] YU, Y., WEN, Z. X., LI, Q., ZHOU, P., and YAN, H. J. Boiling heat transfer on hydrophilichydrophobic mixed surfaces: a 3D lattice Boltzmann study. Applied Thermal Engineering, 142, 846–854(2018)
[26] DOU, S., HAO, L., and LIU, H. Numerical study of bubble behaviors and heat transfer in pool boiling of water/NaCl solutions using the lattice Boltzmann method. International Journal of Thermal Sciences, 170, 107158(2021)
[27] FENG, Y., LI, H., GUO, K., LEI, X., and ZHAO, J. Numerical study on saturated pool boiling heat transfer in presence of a uniform electric field using lattice Boltzmann method. International Journal of Heat and Mass Transfer, 135, 885–896(2019)
[28] NIE, D. and GUAN, G. Study on boiling heat transfer in a shear flow through the lattice Boltzmann method. Physics of Fluids, 33(4), 043314(2021)
[29] LI, L., CHEN, C., MEI, R., and KLAUSNER, J. F. Conjugate heat and mass transfer in the lattice Boltzmann equation method. Physical Review E, 89(4), 043308(2014)
[30] LI, Q., LUO, K. H., and LI, X. J. Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model. Physical Review E, 87(5), 053301(2013)
[31] FENG, Y., CHANG, F., HU, Z., and ZHAO, J. Investigation of pool boiling heat transfer on hydrophilic-hydrophobic mixed surface with micro-pillars using LBM. International Journal of Thermal Sciences, 163, 106814(2021)
[32] LEE, T. and LIN, C. L. A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio. Journal of Computational Physics, 206(1), 16–47(2005)
[33] HU, A. and LIU, D. 2D Simulation of boiling heat transfer on the wall with an improved hybrid lattice Boltzmann model. Applied Thermal Engineering, 159, 113788(2019)
[34] ZHAO, W., LIANG, J., SUN, M., and WANG, Z. Investigation on the effect of convective outflow boundary condition on the bubbles growth, rising and breakup dynamics of nucleate boiling. International Journal of Thermal Sciences, 167, 106877(2021)
[35] GONG, S. and CHENG, P. Lattice Boltzmann simulation of periodic bubble nucleation, growth and departure from a heated surface in pool boiling. International Journal of Heat and Mass Transfer, 64, 122–132(2013)
[36] LI, Z. D., ZHANG, L., ZHAO, J. F., LI, H. X., LI, K., and WU, K. Numerical simulation of bubble dynamics and heat transfer with transient thermal response of solid wall during pool boiling of FC-72. International Journal of Heat and Mass Transfer, 84, 409–418(2015)
[37] MU, Y. T., CHEN, L., HE, Y. L., KANG, Q. J., and TAO, W. Q. Nucleate boiling performance evaluation of cavities at mesoscale level. International Journal of Heat and Mass Transfer, 106, 708–719(2017)
[38] QUAN, X., CHEN, G., and CHENG, P. A thermodynamic analysis for heterogeneous boiling nucleation on a superheated wall. International Journal of Heat and Mass Transfer, 54(21-22), 4762–4769(2011)
[39] DHIR, V. K. Mechanistic prediction of nucleate boiling heat transfer-achievable or a hopeless task? Journal of Heat Transfer, 128(1), 1–12(2006)
[40] LI, Q., ZHOU, P., and YAN, H. J. Improved thermal lattice Boltzmann model for simulation of liquid-vapor phase change. Physical Review E, 96(6), 063303(2017)
[41] MOGHADDAM, S. and KIGER, K. Physical mechanisms of heat transfer during single bubble nucleate boiling of FC-72 under saturation conditions-I, experimental investigation. International Journal of Heat and Mass Transfer, 52(5-6), 1284–1294(2009)
[42] MANN, M., STEPHAN, K., and STEPHAN, P. Influence of heat conduction in the wall on nucleate boiling heat transfer. International Journal of Heat and Mass Transfer, 43(12), 2193– 2203(2000)
[43] ZHOU, P., LIU, W., and LIU, Z. Lattice Boltzmann simulation of nucleate boiling in micro-pillar structured surface. International Journal of Heat and Mass Transfer, 131, 1–10(2019)
[44] ZHOU, J., ZHANG, Y., and WEI, J. A modified bubble dynamics model for predicting bubble departure diameter on micro-pin-finned surfaces under microgravity. Applied Thermal Engineering, 132, 450–462(2018)
[45] AKTINOL, E. and DHIR, V. K. Numerical simulation of nucleate boiling phenomenon coupled with thermal response of the solid. Microgravity Science and Technology, 24(4), 255–265(2012)