eprintid: 11421
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/01/14/21
datestamp: 2023-11-10 03:25:56
lastmod: 2023-11-10 03:25:56
status_changed: 2023-11-10 01:15:13
type: article
metadata_visibility: show
creators_name: Lund, L.A.
creators_name: Ching, D.L.C.
creators_name: Omar, Z.
creators_name: Khan, I.
creators_name: Nisar, K.S.
title: Triple local similarity solutions of darcy-forchheimer magnetohydrodynamic (MHD) flow of micropolar nanofluid over an exponential shrinking surface: Stability analysis
ispublished: pub
note: cited By 35
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. © 2019 by the author.
date: 2019
publisher: MDPI AG
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85071183228&doi=10.3390%2fcoatings9080527&partnerID=40&md5=83a6ac429392426492da6b6fd50faef3
id_number: 10.3390/coatings9080527
full_text_status: none
publication: Coatings
volume: 9
number: 8
refereed: TRUE
issn: 20796412
citation:   Lund, L.A. and Ching, D.L.C. and Omar, Z. and Khan, I. and Nisar, K.S.  (2019) Triple local similarity solutions of darcy-forchheimer magnetohydrodynamic (MHD) flow of micropolar nanofluid over an exponential shrinking surface: Stability analysis.  Coatings, 9 (8).   ISSN 20796412