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MHD Pulsatile Flow and Heat Transfer of Two Immiscible Couple Stress Fluids Between Permeable Beds

Deepak Kumar|Manju Agarwal
경북대학교 자연과학대학 수학과|2021.06|Kyungpook Mathematical Journal|제61권 제2호|pp. 323-351

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참고문헌

키워드

permeable bedDarcy’s lawcouple stress fluidBeaver-Joseph slip condition
주제분류수학

초록

The present paper addresses magnetohydrodynamic pulsating flow and heat transfer of two immiscible, incompressible, and conducting couple stress fluids between two permeable beds. The flow between the permeable beds is assumed to be governed by Stokes’ [28] couple stress fluid flow equations, whereas the dynamics of permeable beds is determined by Darcy’s law. In this study, matching conditions were used at the fluid–fluid interface, whereas the B-J slip boundary condition was employed at the fluid–porous interface. The governing equations were solved analytically, and the expressions for ve locity, temperature, mass flux, skin friction, and rate of heat transfer were obtained. The analytical expressions were numerically evaluated, and the results are presented through graphs and tables.

Abstract

The present paper addresses magnetohydrodynamic pulsating flow and heat transfer of two immiscible, incompressible, and conducting couple stress fluids between two permeable beds. The flow between the permeable beds is assumed to be governed by Stokes’ [28] couple stress fluid flow equations, whereas the dynamics of permeable beds is determined by Darcy’s law. In this study, matching conditions were used at the fluid–fluid interface, whereas the B-J slip boundary condition was employed at the fluid–porous interface. The governing equations were solved analytically, and the expressions for ve locity, temperature, mass flux, skin friction, and rate of heat transfer were obtained. The analytical expressions were numerically evaluated, and the results are presented through graphs and tables.

참고문헌 (33)

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