Paper Info
Title
Convective Effect on Magnetohydrodynamic (MHD) Stagnation Point Flow of Casson Fluid over a Vertical Exponentially Stretching/Shrinking Surface: Triple Solutions.
Abstract
In the current study, the characteristics of heat transfer of a steady, two-dimensional, stagnation point, and magnetohydrodynamic (MHD) flow of shear thickening Casson fluid on an exponentially vertical shrinking/stretching surface are examined in attendance of convective boundary conditions. The impact of the suction parameter is also considered. The system of governing partial differential equations (PDEs) and boundary conditions is converted into ordinary differential equations (ODEs) with the suitable exponential similarity variables of transformations and then solved using the shooting method with the fourth order Runge-Kutta method. Similarity transformation is an important class of phenomena in which scale symmetry allows one to reduce the number of independent variables of the problem. It should be noted that solutions of the ODEs show the symmetrical behavior of the PDES for the profiles of velocity and temperature. Similarity solutions are obtained for the case of stretching/shrinking and suction parameters. It is revealed that there exist two ranges of the solutions in the specific ranges of the physical parameters, three solutions depend on the opposing flow case where stagnation point (A) should be equal to 0.1, two solutions exist when lambda(1)= 0where lambda(1)is a mixed convection parameter andA > 0.1, and a single solution exists when lambda(1)> 0. Moreover, the effects of numerous applied parameters on velocity, temperature distributions, skin friction, and local Nusselt number are examined and given through tables and graphs for both shrinking and stretching surfaces.
Year
DOI
Venue
2020
10.3390/sym12081238
SYMMETRY-BASEL
Keywords
DocType
Volume
convective condition,triple solutions,stagnation flow,casson fluid,stability analysis
Journal
12
Issue
Citations 
PageRank 
8
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Liaquat Ali Lund103.72
Zurni Omar204.73
Ilyas Khan32525.71
Dumitru Baleanu433878.57
K. S. Nisar51512.15