Paper Info
Title
Stability Analysis of the Magnetized Casson Nanofluid Propagating through an Exponentially Shrinking/Stretching Plate: Dual Solutions.
Abstract
In this research, we intend to develop a dynamical system for the magnetohydrodynamic (MHD) flow of an electrically conducting Casson nanofluid on exponentially shrinking and stretching surfaces, in the presence of a velocity and concertation slip effect, with convective boundary conditions. There are three main objectives of this article, specifically, to discuss the heat characteristics of flow, to find multiple solutions on both surfaces, and to do stability analyses. The main equations of flow are governed by the Brownian motion, the Prandtl number, and the thermophoresis parameters, the Schmid and Biot numbers. The shooting method and three-stage Lobatto IIIa formula have been employed to solve the equations. The ranges of the dual solutions are fwc(1) <= f(w) and lambda(c) <= lambda, while the no solution ranges are f(wc1) > f(w) and lambda(c) > lambda. The results reveal that the temperature of the fluid increases with the extended values of the thermophoresis parameter, the Brownian motion parameter, and the Hartmann and Biot numbers, for both solutions. The presence of dual solutions depends on the suction parameter. In order to indicate that the first solution is physically relevant and stable, a stability analysis has been performed.
Year
DOI
Venue
2020
10.3390/sym12071162
SYMMETRY-BASEL
Keywords
DocType
Volume
Casson nanofluid,dual solutions,Biot number,stability analysis
Journal
12
Issue
Citations 
PageRank 
7
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Liaquat Ali Lund103.72
Zurni Omar204.73
Ilyas Khan32525.71
El-Sayed M. Sherif402.70
Hany S. Abdo500.34