A study on non-Newtonian transport phenomena in a mixed convection stagnation point flow with numerical simulation and stability analysis

Kohilavani Naganthran, Roslinda Mohd. Nazar, Ioan Pop

Research output: Contribution to journalArticle

Abstract

The non-Newtonian fluid model is vital to visualize the fluid flows in the latest industrial materials so that the work productivity can be enhanced. Thus, this numerical study inspects the behaviour of the steady mixed convection flow near a stagnation point along a permeable vertical stretching/shrinking flat plate in a Powell-Eyring fluid. A proper similarity transformation simplifies the system of partial differential equations into a system of ordinary differential equations. The collocation formula in the MATLAB software then solves the system of similarity equations. The numerical results have been presented based on two different values of the Prandtl number, as the other governing parameters are varied. When the Prandtl number is 0.015, the availability of the second solution (lower branch solution) is within a certain range of the opposing flow, but the shrinking plate influences the presence of the dual solutions at the assisting flow. The usage of the Prandtl number as 23 restricts the existence of a critical point. Stability analysis shows that the first solution (upper branch solution) is a stable solution whereas the second solution is not a stable solution.

Original languageEnglish
Article number105
JournalEuropean Physical Journal Plus
Volume134
Issue number3
DOIs
Publication statusPublished - 1 Mar 2019

Fingerprint

stagnation point
convection
Prandtl number
simulation
collocation
fluids
flat plates
productivity
partial differential equations
fluid flow
availability
critical point
differential equations
computer programs

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

A study on non-Newtonian transport phenomena in a mixed convection stagnation point flow with numerical simulation and stability analysis. / Naganthran, Kohilavani; Mohd. Nazar, Roslinda; Pop, Ioan.

In: European Physical Journal Plus, Vol. 134, No. 3, 105, 01.03.2019.

Research output: Contribution to journalArticle

@article{8f520abb8e57490a9736e95e8b50d998,
title = "A study on non-Newtonian transport phenomena in a mixed convection stagnation point flow with numerical simulation and stability analysis",
abstract = "The non-Newtonian fluid model is vital to visualize the fluid flows in the latest industrial materials so that the work productivity can be enhanced. Thus, this numerical study inspects the behaviour of the steady mixed convection flow near a stagnation point along a permeable vertical stretching/shrinking flat plate in a Powell-Eyring fluid. A proper similarity transformation simplifies the system of partial differential equations into a system of ordinary differential equations. The collocation formula in the MATLAB software then solves the system of similarity equations. The numerical results have been presented based on two different values of the Prandtl number, as the other governing parameters are varied. When the Prandtl number is 0.015, the availability of the second solution (lower branch solution) is within a certain range of the opposing flow, but the shrinking plate influences the presence of the dual solutions at the assisting flow. The usage of the Prandtl number as 23 restricts the existence of a critical point. Stability analysis shows that the first solution (upper branch solution) is a stable solution whereas the second solution is not a stable solution.",
author = "Kohilavani Naganthran and {Mohd. Nazar}, Roslinda and Ioan Pop",
year = "2019",
month = "3",
day = "1",
doi = "10.1140/epjp/i2019-12454-0",
language = "English",
volume = "134",
journal = "European Physical Journal Plus",
issn = "2190-5444",
publisher = "Springer Science + Business Media",
number = "3",

}

TY - JOUR

T1 - A study on non-Newtonian transport phenomena in a mixed convection stagnation point flow with numerical simulation and stability analysis

AU - Naganthran, Kohilavani

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2019/3/1

Y1 - 2019/3/1

N2 - The non-Newtonian fluid model is vital to visualize the fluid flows in the latest industrial materials so that the work productivity can be enhanced. Thus, this numerical study inspects the behaviour of the steady mixed convection flow near a stagnation point along a permeable vertical stretching/shrinking flat plate in a Powell-Eyring fluid. A proper similarity transformation simplifies the system of partial differential equations into a system of ordinary differential equations. The collocation formula in the MATLAB software then solves the system of similarity equations. The numerical results have been presented based on two different values of the Prandtl number, as the other governing parameters are varied. When the Prandtl number is 0.015, the availability of the second solution (lower branch solution) is within a certain range of the opposing flow, but the shrinking plate influences the presence of the dual solutions at the assisting flow. The usage of the Prandtl number as 23 restricts the existence of a critical point. Stability analysis shows that the first solution (upper branch solution) is a stable solution whereas the second solution is not a stable solution.

AB - The non-Newtonian fluid model is vital to visualize the fluid flows in the latest industrial materials so that the work productivity can be enhanced. Thus, this numerical study inspects the behaviour of the steady mixed convection flow near a stagnation point along a permeable vertical stretching/shrinking flat plate in a Powell-Eyring fluid. A proper similarity transformation simplifies the system of partial differential equations into a system of ordinary differential equations. The collocation formula in the MATLAB software then solves the system of similarity equations. The numerical results have been presented based on two different values of the Prandtl number, as the other governing parameters are varied. When the Prandtl number is 0.015, the availability of the second solution (lower branch solution) is within a certain range of the opposing flow, but the shrinking plate influences the presence of the dual solutions at the assisting flow. The usage of the Prandtl number as 23 restricts the existence of a critical point. Stability analysis shows that the first solution (upper branch solution) is a stable solution whereas the second solution is not a stable solution.

UR - http://www.scopus.com/inward/record.url?scp=85063094858&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85063094858&partnerID=8YFLogxK

U2 - 10.1140/epjp/i2019-12454-0

DO - 10.1140/epjp/i2019-12454-0

M3 - Article

VL - 134

JO - European Physical Journal Plus

JF - European Physical Journal Plus

SN - 2190-5444

IS - 3

M1 - 105

ER -