Abstract
Taking into account the effect of viscous dissipation in the energy equation, we numerically explore the flow of an incompressible micropolar fluid with heat and mass transfer through a resistive porous medium between plane channel walls. By exploiting a similarity transformation, the governing partial differential equations are transformed into a system of nonlinear coupled ordinary differential equations, which are solved numerically for various problem parameters by means of quasi-linearization. It is found that the effect of viscous dissipation is to increase the heat and mass transfer rate at both the lower and upper walls of the channel.
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References
A. C. Eringen, “Theory of Micropolar Fluids,” J. Math. Mech. 16, 1–18 (1966).
A. C. Eringen, “Theory of Thermo-Microfluids,” J. Math. Anal. Appl. 38, 480–496 (1972).
T. Ariman, M. A. Turk, and N. D. Sylvester, “Microcontinuum Fluids Mechanics-A Review,” Int. J. Eng. Sci. 11, 905–930 (1973).
T. Ariman, M. A. Turk, and D. S. Nicholas, “Applications of Microcontinuum Fluid Mechanics,” Int. J. Eng. Sci. 12, 273–293 (1974).
Z. Ziabakhsh and G. Domairry, “Homotopy Analysis Solution of Micro-Polar Flow in a Porous Channel with Heat Mass Transfer,” Adv. Theor. Appl. Mech. 1, 79–94 (2008).
A. Mirzaaghaian and D. D. Ganji, “Application of Differential Transformation Method in Micropolar Fluid Flow and Heat Transfer Through Permeable Walls,” Alexandria Eng. J. 55, 2183–2191 (2016).
K. Ali and M. Ashraf, “Numerical Simulation of the Micropolar Fluid Flow and Heat Transfer in a Channel with a Shrinking and a Stationary Wall,” J. Theor. Appl. Mech. 52 (2), 557–569 (2014).
M. Fakour, A. Vahabzadeh, D. D. Ganji, and M. Hatami, “Analytical Study of Micropolar Fluid Flow and Heat Transfer in a Channel with Permeable Walls,” J. Molecular Liq. 204, 198–204 (2015).
H. Mirgolbabaee, S. T. Ledari, and D. D. Ganji, “Semi-Analytical Investigation on Micropolar Fluid Flow and Heat Transfer in a Permeable Channel using AGM,” J. Assoc. Arab Univ. Basic Appl. Sci. 24, 213–222 (2017).
M. Sheikholeslami, M. Hatami, and D. D. Ganji, “Micropolar Fluid Flow and Heat Transfer in a Permeable Channel Using Analytical Method,” J. Molecular Liq. 194, 30–36 (2014).
Xinhui Si, Liancun Zheng, Ping Lin, et al., “Flow and Heat Transfer of a Micropolar Fluid in a Porous Channel with Expanding or Contracting Walls,” Int. J. Heat Mass Transfer 67, 885–895 (2013).
P. O. Nwabuzor, A. T. Ngiangia, and E. O. Chukwuocha, “MHD Flow of Micropolar Fluid in a Porous Medium Provoked by Heat Function and Radiation,” Asian J. Phys. Chem. Sci. 6 (2), 1–20 (2018).
M. Ashraf, M. A. Kamal, and K. S. Syed, “Numerical Study of Asymmetric Laminar Flow of Micropolar Fluids in a Porous Channel,” Comput. Fluids 38 (10), 1895–1902 (2009).
G. M. Shrestha and R. M. Terrill, “Laminar Flow with Large Injection Through Parallel and Uniformly Porous Walls of Different Permeability,” Quart. J. Mech. Appl. Math. 21 (4), 413–432 (1968).
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Original Russian Text © S. Ahmad, M. Ashraf, K. Ali.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 60, No. 6, pp. 25–34, November-December, 2019.
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Ahmad, S., Ashraf, M. & Ali, K. Numerical Simulation of Viscous Dissipation in a Micropolar Fluid Flow through a Porous Medium. J Appl Mech Tech Phy 60, 996–1004 (2019). https://doi.org/10.1134/S0021894419060038
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DOI: https://doi.org/10.1134/S0021894419060038