New Investigation of Asymmetric Wall Temperature and Fluid-Wall Interaction on Radiative Steady MHD Fully Developed Natural Convection in Vertical Micro-Porous–Channel

Document Type : Original Article

Author

Department of Basic Science, Engineering Division, International Academy for Engineering and Media Science, 6th October, Egypt

Abstract

This sort of research might be used to improve the design of micro-pumps and micro heat exchangers. Understanding the fluid flow and heat transfer properties of the buoyancy-induced micro pump and micro heat exchangers in microfluidic and thermal systems is extremely important.In three cases of asymmetric distributions of walls temperature of a vertical micro- porous–channel, the effect of viscous dissipation and heat generation on radiative steady MHD fully developed natural convection flow was investigated analytically using Differential Transform Method (DTM) and numerically using Finite Difference Method (FDM). The velocity slip and temperature jump circumstances are both taken into account since they have opposing impacts on the volume flow rate and theheat transfer rate, respectively.Graphs and tables show the effect of each governing parameter on non-dimensional velocity, temperature, local wall shear stress, and local surface heat flux at the microchannel surfaces. The results obtained were validated by comparison with their peers previously published.

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[1] Avci M, Aydin O. Mixed Convection in a Vertical Parallel Plate Microchannel. ASME J. Heat Transfer. 2007; 129(2), pp. 162–166.
[2] Chen COK, Weng HC. Natural convection in a vertical microchannel. 2005; Sep 127(9): 1053-1056.
[3] Jha BK, Aina B, Ajiya AT. MHD natural convection flow in a vertical parallel plate microchannel. Ain Shams Engineering Journal. 2015; 6.1: 289-295.
[4] Chambre PA, Schaaf SA.  Flow of rarefied gases. In Flow of Rarefied Gases. Princeton University Press 2017.
[5] Larrode FE, Housiadas C, Drossinos Y. Slip-Flow Heat Transfer in Circular Tubes. Int. J. Heat Mass Transfer.  2000; 43, pp. 2669–2680.
[6] Yu S, Ameel TA. Slip-Flow Heat Transfer in Rectangular Microchannels. Int. J. Heat Mass Transfer. 2001; 44, pp. 4225–4234.
[7] Venkateswarlu M, Prameela M, Makinde OD. Influence of heat generation and viscous dissipation on hydromagnetic fully developed natural convection flow in a vertical micro-channel.  Journal of Nanofluids. 2019; 8.7: 1506-1516.
[8] Ponna B, Venkateswarlu M. Influence of Heat Generation and Thermal Radiation on MHD Flow in a Vertical Micro-Porous-Channel in the Presence of Viscous Dissipation. Mapana Journal of Sciences. 2021; 20.2: 27.
[9] Jha BK, Babatunde A. Impact of Viscous Dissipation on Fully Developed Natural Convection Flow in a Vertical Microchannel. Journal of Heat Transfer.  2018; 140.9.  
[10] Ha BK, Aina B, Joseph SB. Natural convection flow in a vertical micro-channel with suction/injection. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering. 2013; 228.3: 171-180.
[11] Larrode FE, Housiadas C, Drossinos Y. Slip-flow heat transfer in circular tubes. Int J Heat Mass Transfer. 2000; 43:2669–80.
[12] Yu S, Ameel TA. Slip-flow heat transfers in rectangular microchannels. Int J Heat Mass Transfer. 2001; 44:4225–34.
[13]Ganji DD, Malvandi A. Magnetohydrodynamic Mixed Convective Flow of Al2O3–Water Nanofluid Inside a Vertical Microtube. J. Magn. Magn. Mater. 2014; 369, pp. 132–141.
[14] Avci M, Aydin O. Mixed Convection in a Vertical Micro Annulus Between Two concentric Microtubes. ASME J. Heat Transfer. 2009; 131(1), p. 014502.
 [15]Sadeghi M, Sadeghi A, Saidi MH. Gaseous Slip Flow Mixed Convection in Vertical Microducts of Constant but Arbitrary Geometry. AIAA J. Thermophys. Heat Transfer. 2014; 28(4), pp. 771–784.
[16]Altunkaya AN, Avci M, Aydin O. Effects of Viscous Dissipation on Mixed Convection in a Vertical Parallel-Plate Microchannel with Asymmetric Uniform Wall Heat Fluxes: The Slip Regime.  Int. J. Heat Mass Transfer. 2017; 111, pp. 495–499.
[17] Jha BK, Aina B. Mathematical modelling and exact solution of steady fully developed mixed convection flow in a vertical micro–porous–annulus. J. Afrika Matematika. 2015; Vol. 26, 1199–1213.
[18] Mekheimer KS, Shankar BM, Ramadan SF, Mallik HE, Mohamed MS. On the stability of convection in a non-newtonian vertical fluid layer in the presence of gold nanoparticles: drug agent for thermotherapy. Mathematics, (2021); 9(11), 1302.
[19] Abbas W, Mekheimer KS, Ghazy MM, Moawad AMA. Thermal radiation effects on oscillatory squeeze flow with a particle‐fluid suspension. Heat Transfer, (2021); 50(3), 2129-2149.
[20] Abdelsalam SI,  Mekheimer KS, Zaher AZ. Dynamism of a hybrid Casson nanofluid with laser radiation and chemical reaction through sinusoidal channels. Waves in Random and Complex Media. (2022), 1-22.