TY - JOUR A2 - Vynnycky, Michael AU - Khan, Hamid AU - Qayyum, Mubashir AU - Khan, Omar AU - Ali, Murtaza PY - 2016 DA - 2016/12/29 TI - Unsteady Squeezing Flow of Casson Fluid with Magnetohydrodynamic Effect and Passing through Porous Medium SP - 4293721 VL - 2016 AB - An unsteady squeezing flow of Casson fluid having magnetohydrodynamic (MHD) effect and passing through porous medium channel is modeled and investigated. Similarity transformations are used to convert the partial differential equations (PDEs) of non-Newtonian fluid to a highly nonlinear fourth-order ordinary differential equation (ODE). The obtained boundary value problem is solved analytically by Homotopy Perturbation Method (HPM) and numerically by explicit Runge-Kutta method of order 4. For validity purpose, we compare the analytical and numerical results which show excellent agreement. Furthermore, comprehensive graphical analysis has been made to investigate the effects of various fluid parameters on the velocity profile. Analysis shows that positive and negative squeeze number S q have opposite effect on the velocity profile. It is also observed that Casson parameter β 在速度剖面显示了相反的效果ase of positive and negative squeeze number S q . MHD parameter M g and permeability constant M p have similar effects on the velocity profile in case of positive and negative squeeze numbers. It is also seen that, in case of positive squeeze number, similar velocity profiles have been obtained for β , M g , and M p . Besides this, analysis of skin friction coefficient has also been presented. It is observed that squeeze number, MHD parameter, and permeability parameter have direct relationship while Casson parameter has inverse relationship with skin friction coefficient. SN - 1024-123X UR - https://doi.org/10.1155/2016/4293721 DO - 10.1155/2016/4293721 JF - Mathematical Problems in Engineering PB - Hindawi Publishing Corporation KW - ER -