Title
Stability Analysis of Darcy-Forchheimer Flow of Casson Type Nanofluid Over an Exponential Sheet: Investigation of Critical Points.
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).
Year
DOI
Venue
2019
10.3390/sym11030412
SYMMETRY-BASEL
Keywords
Field
DocType
dual solution,stability analysis,Darcy Forchheimer model,nanofluid,exponential sheet
Compressibility,Magnetohydrodynamic drive,Matrix similarity,Exponential function,Laminar flow,Dissipation,Mathematical analysis,Porous medium,Mathematics,Nanofluid
Journal
Volume
Issue
Citations 
11
3
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Liaquat Ali Lund103.72
Zurni Omar204.73
Ilyas Khan32525.71
Jawad Raza400.34
Mohsen A. Bakouri562.21
Iskander Tlili655.42