Magneto hydrodynamic (MHD) squeezing flow of a Casson fluid between parallel disks

Abstract

Squeezing flow of a Casson fluid is considered between two parallel disks. Upper disk is taken to be impermeable but capable of moving towards or away from the lower fixed and porous disk. Governing equations are derived with the help of conservation laws combined with suitable similarity transforms. Homotopy analysis method (HAM) is then been employed to determine the solution to resulting ordinary differential equation. Numerical solution is also obtained using R-K 4 method and comparison shows an excellent agreement between both solutions. Effects of different physical parameters on the flow are also discussed with the help of graphs along with comprehensive discussions.   Key words: Casson fluid, homotopy analysis method (HAM), squeezing flow, parallel disks, magneto hydrodynamic (MHD) flow, numerical solution.