مطالعه اثر میدان مغناطیسی بر انتقال حرارت جابه‌جایی اجباری فلزات مایع در یک چاه گرمایی میکروکانالی

نوع مقاله : مقاله پژوهشی

نویسندگان

دانشکده مهندسی مکانیک، دانشگاه کاشان

چکیده

میدان مغناطیسی قوی، روش جدیدی برای انتقال حرارت با شار حرارتی بالا ارائه می‌دهد. یک شبیه‌سازی عددی برای یک چاه حرارتی با شار حرارتی بالا تحت یک میدان مغناطیسی یکنواخت خارجی در سه جهت متفاوت برای بررسی میدان جریان و انتقال حرارت جابه‌جایی بین فلز مایع و سطوح گرم استفاده شده است. به دلیل بالا بودن چگالی و ضریب رسانش حرارتی و الکتریکی فلز مایع گالینستن، به‌عنوان سیال کار استفاده شده است. حذف گسسته سازی معادلات ناویر استوکس به روش حجم محدود مرتبه دوم بالادست انجام شده است. نتایج نشان می‌دهد اثر اعمال میدان مغناطیسی در جهت Y و Z (عمود بر محور جریان) به چاه حرارتی با عدد هارتمن 88، ضریب انتقال حرارت جابه‌جایی را به ترتیب 15 و 8 درصد بهبود می‌بخشد. بهترین بازدهی جهت افزایش انتقال حرارت، با اعمال میدان مغناطیسی در جهت Y به دست آورده شد. با اعمال میدان مغناطیسی در جهت Y به چاه حرارتی، ضریب انتقال حرارت جابه‌جایی با عدد هارتمن 44، 11/9 درصد، عدد هارتمن 88، 15 درصد و با عدد هارتمن 132، 17/7 درصد نسبت به عدد هارتمن صفر افزایشی شده است. با اعمال میدان مغناطیسی در راستای Z به چاه حرارتی، ضریب انتقال حرارت جابه‌جایی با عدد هارتمن 44، 4/3 درصد، عدد هارتمن 88، 8 درصد، عدد هارتمن 132، 11/4درصد و عدد هارتمن 330، 22/1 درصد نسبت به عدد هارتمن صفر افزایشی شده است. همچنین نتایج نشان می‌دهد اثر اعمال میدان مغناطیسی عمود بر محور جریان سبب افزایش گرادیان سرعت شده، در نتیجه افت فشار و ضریب اصطکاک چاه حرارتی افزایشی شده‌اند.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Investigation on the effect of magnetic field on forced convection heat transfer of liquid metals in a microchannel heat sink

نویسندگان [English]

  • A. R. Rahmati
  • A. Molaei
چکیده [English]

A strong magnetic field provides a new method of heat transfer with high heat flux. A numerical simulation for a heat sink with high heat flux under an external uniform magnetic field in three different directions is used to investigate the flow field and displacement heat transfer between liquid metal and hot surfaces. Due to its high density and large thermal and electrical conductivity coefficients, gallinsten liquid metal has been used as a working fluid. Discretization of the Navier-Stokes equations is performed by the upstream second-order finite volume method. The results show that the effect of applying a magnetic field in the Y and Z directions (perpendicular to the flow axis) on the heat sink with a Hartmann number of 88, improves the displacement heat transfer coefficient by 15% and 8%, respectively. The best efficiency in increasing the heat transfer was obtained by applying the magnetic field in the Y direction. By applying the magnetic field in the Y direction to the heat sink, the displacement heat transfer coefficient was increased by 11.9% for Hartman number of 44, 15% for Hartman number of 88, and 17.7% for Hartman number of 132, compared to zero Hartman number. By applying the magnetic field in Z direction to the heat sink, the displacement heat transfer coefficient was increased by 4.3% for Hartmann number of 44, 8% for Hartmann number of 88, 11.4% for Hartmann number of 132 and 22.1% for Hartmann number of 330, compared to Hartmann number of zero. Also, the results show that the effect of applying a magnetic field perpendicular to the flow axis has increased the velocity gradient. As a result, the pressure drop and friction coefficient of the heat sink have increased.

کلیدواژه‌ها [English]

  • Forced convection heat transfer
  • magnetic field
  • liquid metal
  • heat sink
  • microchannel
  1. Tuckerman, D. B. and Pease, R. F. W., “High-Performance Heat Sinking for VLSI”, IEEE Electron device letters, Vol. 2, pp. 126-129, 1981.
  2. Qu, W. and Mudawar, I., “Experimental and Numerical Study of Pressure Drop and Heat Transfer in A Single-Phase Micro-Channel Heat Sink”, International Journal of Heat and Mass Transfer, Vol. 45, pp. 2549-2565, 2002.
  3. Gunnasegaran, P., Mohammed, H., Shuaib, N., and Saidur, R., “The Effect of Geometrical Parameters on Heat Transfer Characteristics of Micro Channels Heat Sink With Different Shapes”, International Communications in Heat and Mass Transfer, Vol. 37, pp. 1078-1086, 2010.
  4. Guo, Y., Zhu, C. Y., Gong, L., and Zhang, Z. B., “Numerical Simulation of Flow Boiling Heat Transfer in Microchannel with Surface Roughness”, International Journal of Heat and Mass Transfer, Vol. 204, pp. 123830, 2023.
  5. Sepehrnia, M. and Rahmati, A., “Numerical Investigating the Gas Slip Flow in the Microchannel Heat Sink Using Different Materials”, Challenges in Nano and Micro Scale Science and Technology, Vol. 6, pp. 44-50, 2018.
  6. Kumar, R., Singh, G., and Mikielewicz, D., “A New Approach for the Mitigating of Flow Maldistribution in Parallel Microchannel Heat Sink”, Journal of Heat Transfer, Vol. 140, pp. 072401, 2018.
  7. Li, X. Y., Wang, S. L., Wang, X. D., and Wang, T. H., “Selected Porous-Ribs Design for Performance Improvement in Double-Layered Microchannel Heat Sinks”, International Journal of Thermal Sciences, Vol. 137, pp. 616-626, 2019.
  8. Shomali, M. and Rahmati, A., “Numerical Analysis of Gas Flows in A Microchannel Using the Cascaded Lattice Boltzmann Method with Varying Bosanquet Parameter”, Journal of Heat and Mass Transfer Research, Vol. 7, pp. 25-38, 2020.
  9. Wang, S. L., Chen, L. Y., Zhang, B. X., Yang, Y. R., and Wang, X. D., “A New Design of Double-Layered Microchannel Heat Sinks with Wavy Micro Channels and Porous-Ribs”, Journal of Thermal Analysis and Calorimetry, Vol. 141, pp. 547-558, 2020.
  10. Hamidi, E., Ganesan, P., Muniandy, S. V., and Hassan, M. A., “Lattice Boltzmann Method Simulation of Flow and Forced Convective Heat Transfer on 3D Micro X-ray Tomography of Metal Foam Heat Sink”, International Journal of Thermal Sciences, Vol. 172, pp. 107240, 2022.
  11. Keshavarz, M., Habibi, S., and Amini, Y., “Heat Transfer Enhancement in A Microchannel Using Active Vibrating Piezoelectric Vortex Generator”, Journal of Solid and Fluid Mechanics, Vol. 12, pp. 191-204, 2023.
  12. Chein, R. and Huang, G., “Analysis of Microchannel Heat Sink Performance Using Nano Fluids”, Applied Thermal Engineering, Vol. 25, pp. 3104-3114, 2005.
  13. Darzi, A. R., Farhadi, M., Sedighi, K., Aallahyari, S., and Delavar, M. A., “Turbulent Heat Transfer of Al2O3–Water Nanofluid Inside Helically Corrugated Tubes: Numerical Study”, International Communications in Heat and Mass Transfer, Vol. 41, pp. 68-75, 2013.
  14. Sohel, M., Khaleduzzaman, S., Saidur, R., Hepbasli, A., Sabri, M., and Mahbubul, I., “An Experimental Investigation of Heat Transfer Enhancement of a Mini Channel Heat Sink Using Al2O3–H2O Nano Fluid”, International Journal of Heat and Mass Transfer, Vol. 74, pp. 164-172, 2014.
  15. Ho, C. J., Wei, L., and Li, Z., “An Experimental Investigation of Forced Convective Cooling Performance of A Microchannel Heat Sink with Al2O3 Water Nano Fluid”, Applied Thermal Engineering, Vol. 30, pp. 96-103, 2010.
  16. Teimouri, A., Nejati, V., Zahmatkesh, I., and Saleh, S. R., “Numerical Investigation of Two-Phase Nano Fluid Flow in Square Cavity with Inclined Wall Under Different Magnetic Field”, Journal of Solid and Fluid Mechanics, 13, pp. 125-136, 2023.
  17. Ghasemi, S. E., Ranjbar, A., and Hosseini, M., “Thermal and Hydrodynamic Characteristics of Water-Based Suspensions of Al2O3 Nanoparticles in A Novel Mini Channel Heat Sink”, Journal of Molecular Liquids, Vol. 230, pp. 550-556, 2017.
  18. Kumar, R., Tiwary, B., and Singh, P. K., “Thermofluidic Analysis of Al2O3-Water Nano Fluid Cooled Branched Wavy Heat Sink”, Applied Thermal Engineering, Vol. 201, pp. 117787, 2022.
  19. Miner, A. and Ghoshal, U., “Cooling of High-Power-Density Micro Devices Using Liquid Metal Coolants”, Applied Physics Letters, Vol. 85, pp. 506-508, 2004.
  20. Hodes, M., Zhang, R., Lam, L. S., Wilcoxon, R., and Lower, N., “On the Potential of Galinstan-Based Mini Channel and Mini Gap Cooling”, IEEE Transactions on Components, Packaging and Manufacturing Technology, Vol. 4, pp. 46-56, 2013.
  21. Xie, G., Chen, Z., Sunden, B., and Zhang, W., “Numerical Predictions of the Flow and Thermal Performance of Water-Cooled Single-Layer and Double-Layer Wavy Microchannel Heat Sinks”, Numerical Heat Transfer, Part A: Applications, Vol. 63, pp. 201-225, 2013.
  22. Zhang, R., Hodes, M., Lower, N., and Wilcoxon, R., “Water-Based Microchannel and Galinstan-Based Mini Channel Cooling Beyond 1 kW/cm $^{2} $ Heat Flux”, IEEE Transactions on Components, Packaging and Manufacturing Technology, Vol. 5, pp. 762-770, 2015.
  23. Wu, T., Wang, L., Tang, Y., Yin, C., and Li, X., “Flow and Heat Transfer Performances of Liquid Metal Based Microchannel Heat Sinks Under High Temperature Conditions”, Micro Machines, Vol. 13,pp. 95, 2022.
  24. Shi, X., Li, S., Mu, Y., and Yin, B., “Geometry Parameters Optimization for A Microchannel Heat Sink with Secondary Flow Channel”, International Communications in Heat and Mass Transfer, 104, pp. 89-100, 2019.
  25. Wang, T. H., Wu, H. C., Meng, J. H., and Yan, W. M., “Optimization of A Double-Layered Microchannel Heat Sink with Semi-Porous-Ribs by Multi-Objective Genetic Algorithm”, International Journal of Heat and Mass Transfer, Vol. 149, pp. 119217, 2020.
  26. Hajmohammadi, M., Gholamrezaie, S., Ahmadpour, A., and Mansoori, Z., “Effects of Applying Uniform and Non-Uniform External Magnetic Fields on the Optimal Design of Microchannel Heat Sinks”, International Journal of Mechanical Sciences, Vol. 186, pp. 105886, 2020.
  27. Abadeh, A., Sardarabadi, M., Abedi, M., Pourramezan, M., Passandideh-Fard, M., and Maghrebi, M. J., “Experimental Characterization of Magnetic Field Effects on Heat Transfer Coefficient and Pressure Drop for a Ferrofluid Flow in A Circular Tube”, Journal of Molecular Liquids, Vol. 299, pp. 112206, 2020.
  28. Li, P., Guo, D., and Huang, X., “Heat Transfer Enhancement in Microchannel Heat Sinks with Dual Split-Cylinder and Its Intelligent Algorithm Based Fast Optimization”, Applied Thermal Engineering, Vol. 171, pp. 115060, 2020.
  29. Hunt, J., “Magneto Hydrodynamic Flow in Rectangular Ducts”, Journal of Fluid Mechanics, Vol. 21, pp. 577-590, 1965.
  30. Hunt, J., and Stewartson, K., “Magneto Hydrodynamic Flow in Rectangular Ducts. II”, Journal of Fluid Mechanics, Vol. 23, pp. 563-581, 1965.
  31. Wang, Z., and Lei, T., “Liquid Metal MHD Effect and Heat Transfer Research in A Rectangular Duct with Micro-Channels under A Magnetic Field”, International Journal of Thermal Sciences, Vol. 155, pp. 106411, 2020. 

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