UUM Repository | Universiti Utara Malaysian Institutional Repository
FAQs | Feedback | Search Tips | Sitemap

Triple local similarity solutions of Darcy-Forchheimer Magnetohydrodynamic (MHD) flow of micropolar nanofluid over an exponential shrinking surface: stability analysis


Ali Lund, Liaquat and Ching, Dennis Ling Chua and Omar, Zurni and Khan, Ilyas and Nisar, Kottakkaran Sooppy (2019) Triple local similarity solutions of Darcy-Forchheimer Magnetohydrodynamic (MHD) flow of micropolar nanofluid over an exponential shrinking surface: stability analysis. Coatings, 9 (527). pp. 1-17. ISSN 2079-6412

[img] PDF
Restricted to Registered users only

Download (9MB) | Request a copy

Abstract

In this paper, the MHD flow of a micropolar nanofluid on an exponential sheet in an Extended-Darcy-Forchheimer porous medium have been considered. Buongiorno's model is considered in order to formulate a mathematical model with different boundary conditions. The governing partial differential equations (PDEs) of the nanofluid flow are changed into a third order non-linear quasi-ordinary differential equation (ODE), using the pseudo-similarity variable. The resultant ODEs of the boundary value problems (BVPs) are renewed into initial value problems (IVPs) using a shooting method, and then the IVPs are solved by a fourth order Runge-Kutta (RK) method. The effects of various physical parameters on the profiles of velocity, temperature, microrotation velocity, concentration, skin friction, couple stress coefficients, heat, and concentration transfer are demonstrated graphically. The results reveal that triple solutions appear when S ≥ 2.0337 for K = 0.1 and S ≥ 2.7148 for K = 0.2. A stability analysis has been performed to show the stability of the solutions; only the first solution is stable and physically possible, whereas the remaining two solutions are not stable.

Item Type: Article
Uncontrolled Keywords: pseudo-similarity variable; micropolar nanofluid; darcy forchheimer model; MHD flow; triple solution; stability analysis
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: School of Quantitative Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 29 Oct 2019 01:43
Last Modified: 29 Oct 2019 01:43
URI: http://repo.uum.edu.my/id/eprint/26534

Actions (login required)

View Item View Item