Abstract
In this paper, steady two-dimensional laminar incompressible magnetohydrodynamic flow over an exponentially shrinking sheet with the effects of slip conditions and viscous dissipation is examined. An extended Darcy Forchheimer model was considered to observe the porous medium embedded in a non-Newtonian-Casson-type nanofluid. The governing equations were converted into nonlinear ordinary differential equations using an exponential similarity transformation. The resultant equations for the boundary values problem (BVPs) were reduced to initial values problems (IVPs) and then shooting and Fourth Order Runge-Kutta method (RK-4th method) were applied to obtain numerical solutions. The results reveal that multiple solutions occur only for the high suction case. The results of the stability analysis showed that the first (second) solution is physically reliable (unreliable) and stable (unstable).
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference44 articles.
1. Convection in Porous Media;Nield,2006
2. The Flow of Homogeneous Fluids through Porous Media
https://catalog.hathitrust.org/Record/009073808
3. Forced convection boundary layer stagnation-point flow in Darcy-Forchheimer porous medium past a shrinking sheet;Bakar;Front. Heat Mass Transf.,2016
4. Darcy-Forchheimer flow with variable thermal conductivity and Cattaneo-Christov heat flux
5. A revised model for Darcy-Forchheimer flow of Maxwell nanofluid subject to convective boundary condition
Cited by
63 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献