Numerical Simulation of Magnetic Field Effect on Thermal and Thermo-Hydraulic Performance and Entropy Generation of a Silicon Microchannel Heat Sink Under Uniform Heat Flux

Document Type : Research Article

Authors

1 Faculty of Mechanical Engineering and the Energy Research Institute, University of Kashan, Kashan, Iran

2 Fluid and Thermal, Faculty of Meh. Eng., University of Kashan

3 Professor Sharif University of Technology Department of Mechanical Engineering

Abstract

In this three-dimensional numerical study, the effects of uniform magnetic field on the thermal and thermo-hydraulic performance and entropy generation of water flow through a trapezoidal heat sink, with four different inlet/outlet configurations, have been investigated. An electronic chip embedded on the base plate of the heat sink generates uniform heat flux of 50 kW/m2. Simulations have been performed for mass flow rates of 0.02, 0.03, 0.04 and 0.05 g/sec and Hartmann numbers of 0, 2, 4, 8 and 16. The results show that in overall the best configuration is the A-type arrangement, in which the flow enters the center of the distributing chamber and exits from the center of the collecting chamber. For this arrangement and a constant mass flow rate, with increasing Hartmann number from 0 to 16, thermal resistance reduces between 4.39% and 9.15%, theta between 1.81% and 7.91% and performance evaluation criterion between 81.61% and 87.15%, but total entropy generation increases between 10.13% and 77.07%. For the best arrangement, the best thermal performance occurs for the mass flow rate of 0.05g/sec and Hartmann number of 16 and the best thermo-hydraulic and entropy generation performances occur for the mass flow rate of 0.02 g/sec and Hartmann number of zero.

Keywords

Main Subjects


[1] B.K. Jha, P.B. Malgwi, B. Aina, Hall effects on MHD natural convection flow in a vertical microchannel, Alexandria Engineering Journal, 57(2) (2018) 983-993.
[2] G. Zhao, Z. Wang, Y. Jian, Heat transfer of the MHD nanofluid in porous microtubes under the electrokinetic effects, International Journal of Heat and Mass Transfer, 130 (2019) 821-830.
[3] S. Aminossadati, A. Raisi, B. Ghasemi, Effects of magnetic field on nanofluid forced convection in a partially heated microchannel, International Journal of Non-Linear Mechanics, 46(10) (2011) 1373-1382.
[4] A. Malvandi, D. Ganji, Brownian motion and thermophoresis effects on slip flow of alumina/water nanofluid inside a circular microchannel in the presence of a magnetic field, International Journal of Thermal Sciences, 84 (2014) 196-206.
[5] N. Hajialigol, A. Fattahi, M.H. Ahmadi, M.E. Qomi, E. Kakoli, MHD mixed convection and entropy generation in a 3-D microchannel using Al2O3–water nanofluid, Journal of the Taiwan Institute of Chemical Engineers, 46 (2015) 30-42.
[6] M. Kiyasatfar, N. Pourmahmoud, Laminar MHD flow and heat transfer of power-law fluids in square microchannels, International Journal of Thermal Sciences, 99 (2016) 26-35.
[7] A.R. Rahmati, H. Khorasanizadeh, M.R. Arabyarmohammadi, Application of Lattice Boltzmann Method for Simulating MGD in a Microchannel under Magnetic Field Effects, Modares Mechanical Engineering, 16(7) (2016) 229-240.
[8] M.A. Hamdan, A.H. Al-Assaf, M.A. Al-Nimr, The effect of slip velocity and temperature jump on the hydrodynamic and thermal behaviors of MHD forced convection flows in horizontal microchannels, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 40(2) (2016) 95-103.
[9] H. Soltanipour, S. Khalilarya, S.Y. Motlagh, I. Mirzaee, The effect of position-dependent magnetic field on nanofluid forced convective heat transfer and entropy generation in a microchannel, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(1) (2017) 345-355.
[10] M. Abbaszadeh, A. Ababaei, A.A.A. Arani, A.A. Sharifabadi, MHD forced convection and entropy generation of CuO-water nanofluid in a microchannel considering slip velocity and temperature jump, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(3) (2017) 775-790.
[11] A. López, G. Ibáñez, J. Pantoja, J. Moreira, O. Lastres, Entropy generation analysis of MHD nanofluid flow in a porous vertical microchannel with nonlinear thermal radiation, slip flow and convective-radiative boundary conditions, International Journal of Heat and Mass Transfer, 107 (2017) 982-994.
[12] S. Hosseini, M. Sheikholeslami, M. Ghasemian, D. Ganji, Nanofluid heat transfer analysis in a microchannel heat sink (MCHS) under the effect of magnetic field by means of KKL model, Powder Technology, 324 (2018) 36-47.
[13] S. Noreen, S. Waheed, A. Hussanan, Peristaltic motion of MHD nanofluid in an asymmetric micro-channel with Joule heating, wall flexibility and different zeta potential, Boundary Value Problems, 2019(1) (2019) 12.
[14] S. Sivasankaran, K. Narrein, Influence of Geometry and Magnetic Field on Convective Flow of Nanofluids in Trapezoidal Microchannel Heat Sink, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering,   1-10.
[15] M. Kalteh, S.S. Abedinzadeh, Numerical investigation of MHD nanofluid forced convection in a microchannel using lattice Boltzmann method, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 42(1) (2018) 23-34.
[16] C. Yang, Y. Jian, Z. Xie, F. Li, Heat transfer characteristics of magnetohydrodynamic electroosmotic flow in a rectangular microchannel, European Journal of Mechanics-B/Fluids, 74 (2019) 180-190.
[17] H. Khorasanizadeh, M. Sepehrnia, Performance Evaluation of a Trapezoidal Microchannel Heat Sink with Various Entry/Exit Configurations Utilizing Variable Properties, Journal of Applied Fluid Mechanics, 10(6) (2017) 1547-1559.
[18] H. Khorasanizadeh, M. Sepehrnia, R. Sadeghi, Three dimensional investigations of inlet/outlet arrangements and nanofluid utilization effects on a triangular microchannel heat sink performance, Modares Mechanical Engineering, 16(12) (2017) 27-38.
[19] H. Khorasanizadeh, M. Seperhnia, Three dimensional numerical study on a trapezoidal microchannel heat sink with different inlet/outlet arrangements utilizing variable properties nanofluid, Transp Phenom Nano Micro Scales, 6(2) (2018) 133-151.
[20] H. Khorasanizadeh, M. Sepehrnia, R. Sadeghi, "Investigation of nanofluid flow field and conjugate heat transfer in a MCHS with four different arrangements", Amirkabir Journal of Mechanical Engineering, 51(2) (2019) 113-116 (In Persian).
[21] A.R.Rahmati, M. Sepehrnia, "Three Dimensional Simulation of Helium Gas Flow in an Aluminum Heat Sink with Rectangular Microchannel in Slip Flow Regime", Amirkabir Journal of Mechanical Engineering, (DOI: 10.22060/mej.2018.13345.5604), (2018) (In Persian).
[22] H. Khorasanizadeh, M. Sepehrnia, "Thermal performance and entropy generation analysis of nanofluid flow in a trapezoidal heat sink with different arrangements", Amirkabir Journal of Mechanical Engineering, (DOI: 10.22060/mej.2018.13070.5521), (2018) (In Persian).
[23] F.P. Incropera, A.S. Lavine, T.L. Bergman, D.P. DeWitt, Fundamentals of heat and mass transfer, Wiley, 2007.
[24] R. Chein, J. Chen, Numerical study of the inlet/outlet arrangement effect on microchannel heat sink performance, International Journal of Thermal Sciences, 48(8) (2009) 1627-1638.
[25] V.L. Vinodhan, K. Rajan, Computational analysis of new microchannel heat sink configurations, Energy Conversion and Management, 86 (2014) 595-604.
[26] S. Ferrouillat, A. Bontemps, J.-P. Ribeiro, J.-A. Gruss, O. Soriano, Hydraulic and heat transfer study of SiO2/water nanofluids in horizontal tubes with imposed wall temperature boundary conditions, International journal of heat and fluid flow, 32(2) (2011) 424-439.
[27] M. Rashidi, S. Abelman, N.F. Mehr, Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid, International Journal of Heat and Mass Transfer, 62 (2013) 515-525.
[28] H. Abbassi, Entropy generation analysis in a uniformly heated microchannel heat sink, Energy, 32(10) (2007) 1932-1947.
[29] R.J. Phillips, Microchannel Heat Sinks, Lincoln Laboratory Journal, 1(1) (1988).
[30] B. Ghasemi, S. Aminossadati, A. Raisi, Magnetic field effect on natural convection in a nanofluid-filled square enclosure, International Journal of Thermal Sciences, 50(9) (2011) 1748-1756.
[31] S. Hussain, S.E. Ahmed, T. Akbar, Entropy generation analysis in MHD mixed convection of hybrid nanofluid in an open cavity with a horizontal channel containing an adiabatic obstacle, International Journal of Heat and Mass Transfer, 114 (2017) 1054-1066.
[32] A. Aghaei, H. Khorasanizadeh, G. Sheikhzadeh, M. Abbaszadeh, Numerical study of magnetic field on mixed convection and entropy generation of nanofluid in a trapezoidal enclosure, Journal of Magnetism and Magnetic Materials, 403 (2016) 133-145.
[33] M. Pirmohammadi, M. Ghassemi, G.A. Sheikhzadeh, The effect of a magnetic field on buoyancy-driven convection in differentially heated square cavity, in:  2008 14th Symposium on Electromagnetic Launch Technology, IEEE, 2008, pp. 1-6.
[34] N. Pourmahmoud, H. Soltanipour, I. Mirzaee, THE EFFECTS OF LONGITUDINAL RIBS ON ENTROPY GENERATION FOR LAMINAR FORCED CONVECTION IN A MICRO-CHANNEL, Thermal Science, 20(6) (2016).
[35] A. Aghaei, G. Sheikhzadeh, H. Ehteram, M. Hajiahmadi, MHD natural convection and entropy generation of variable properties nanofluid in a triangular enclosure, Transp Phenom Nano Micro Scales, 3(1) (2015) 37-45.
[36] J. Guo, M. Xu, J. Cai, X. Huai, Viscous dissipation effect on entropy generation in curved square microchannels, Energy, 36(8) (2011) 5416-5423.
[37] J. Guo, M. Xu, Y. Tao, X. Huai, The effect of temperature-dependent viscosity on entropy generation in curved square microchannel, Chemical Engineering and Processing: Process Intensification, 52 (2012) 85-91.