Exact Solution of MHD Pulsatile Flow of Couple-Stress Fluid through Porous Medium
Avadh Bihari Singh
Department of Mathematics, L. N. D. College Motihari, B.R.A. Bihar University, Muzaffarpur 842001, Bihar, India.
Deepak Kumar *
Department of Mathematics, L. N. D. College Motihari, B.R.A. Bihar University, Muzaffarpur 842001, Bihar, India.
*Author to whom correspondence should be addressed.
Abstract
The present paper examines the MHD pulsating flow of a couple-stress fluid in a high-permeability porous medium sandwiched between two permeable beds. The Brinkmann equation models flow in the porous channel, while Darcy’s law describes flow in permeable beds. The porous medium has high permeability, so the Beaver-Joseph boundary condition is used at the permeable beds. The governing partial differential equation of flow, along with boundary conditions, is separated into steady and oscillatory parts. The analytical solutions have been derived for fluid velocity, shear stress at permeable beds, and mass flux. The impact of governing flow parameters on the fluid velocity and shear stress is illustrated through graphs and tables.
Keywords: Non-Newtonian fluids, pulsatile flow, permeable beds, porous medium, magneto-hydrodynamic flow