Combined effects of Joule heating and chemical reaction on non-Newtonian fluid in double stratified medium: A numerical study
In present attempt, the mutual interaction of temperature and concentration stratification phenomena is considered in the presence of chemically reactive species and Joule heating subject to Williamson fluid flow yields by an inclined stretching cylindrical surface. Flow field analysis is manifested...
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doaj-6af49eea59a14787b2648708da9247fb2020-11-24T21:43:49ZengElsevierResults in Physics2211-37972017-01-01734873496Combined effects of Joule heating and chemical reaction on non-Newtonian fluid in double stratified medium: A numerical studyKhalil Ur Rehman0Abid Ali Khan1M.Y. Malik2R.K. Pradhan3Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan; Corresponding author.Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad 44000, PakistanCentral Department of Physics, Tribhuvan University Kirtipur, 44618 Kathmandu, NepalIn present attempt, the mutual interaction of temperature and concentration stratification phenomena is considered in the presence of chemically reactive species and Joule heating subject to Williamson fluid flow yields by an inclined stretching cylindrical surface. Flow field analysis is manifested with both mixed convection and heat generation effects. The prescribed surface temperature and concentration are hypothetical greater in strength as compared to ambient fluid. The physical illustration and corresponding constraints are mathematically modelled in terms of partial differential equations. These differential equations are primarily transmuted into an ordinary differential equations with the aid of appropriate transformation. A computational algorithm (shooting method charted with Runge-Kutta scheme) is executed towards boundary value problem for numerical solution. The physical outcomes due to flow field parameters namely, Eckert number, Weissenberg number, mixed convection, curvature, stratification, solutal stratification, chemical reaction, magnetic field and heat generation parameters on physical quantities are discussed through graphs and tables. Further, the numerical values of the skin friction coefficient, Nusselt and Sherwood numbers are presented through tables. It is noticed that the velocity profile shows decline nature for an inclination while temperature reflects an inciting nature towards Eckert number. Keywords: An inclined cylinder, Joule heating, Magneto-Williamson fluid model, Chemical reaction, Double stratification, Mixed convection, Heat generation, Shooting methodhttp://www.sciencedirect.com/science/article/pii/S2211379717311671 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Khalil Ur Rehman Abid Ali Khan M.Y. Malik R.K. Pradhan |
spellingShingle |
Khalil Ur Rehman Abid Ali Khan M.Y. Malik R.K. Pradhan Combined effects of Joule heating and chemical reaction on non-Newtonian fluid in double stratified medium: A numerical study Results in Physics |
author_facet |
Khalil Ur Rehman Abid Ali Khan M.Y. Malik R.K. Pradhan |
author_sort |
Khalil Ur Rehman |
title |
Combined effects of Joule heating and chemical reaction on non-Newtonian fluid in double stratified medium: A numerical study |
title_short |
Combined effects of Joule heating and chemical reaction on non-Newtonian fluid in double stratified medium: A numerical study |
title_full |
Combined effects of Joule heating and chemical reaction on non-Newtonian fluid in double stratified medium: A numerical study |
title_fullStr |
Combined effects of Joule heating and chemical reaction on non-Newtonian fluid in double stratified medium: A numerical study |
title_full_unstemmed |
Combined effects of Joule heating and chemical reaction on non-Newtonian fluid in double stratified medium: A numerical study |
title_sort |
combined effects of joule heating and chemical reaction on non-newtonian fluid in double stratified medium: a numerical study |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2017-01-01 |
description |
In present attempt, the mutual interaction of temperature and concentration stratification phenomena is considered in the presence of chemically reactive species and Joule heating subject to Williamson fluid flow yields by an inclined stretching cylindrical surface. Flow field analysis is manifested with both mixed convection and heat generation effects. The prescribed surface temperature and concentration are hypothetical greater in strength as compared to ambient fluid. The physical illustration and corresponding constraints are mathematically modelled in terms of partial differential equations. These differential equations are primarily transmuted into an ordinary differential equations with the aid of appropriate transformation. A computational algorithm (shooting method charted with Runge-Kutta scheme) is executed towards boundary value problem for numerical solution. The physical outcomes due to flow field parameters namely, Eckert number, Weissenberg number, mixed convection, curvature, stratification, solutal stratification, chemical reaction, magnetic field and heat generation parameters on physical quantities are discussed through graphs and tables. Further, the numerical values of the skin friction coefficient, Nusselt and Sherwood numbers are presented through tables. It is noticed that the velocity profile shows decline nature for an inclination while temperature reflects an inciting nature towards Eckert number. Keywords: An inclined cylinder, Joule heating, Magneto-Williamson fluid model, Chemical reaction, Double stratification, Mixed convection, Heat generation, Shooting method |
url |
http://www.sciencedirect.com/science/article/pii/S2211379717311671 |
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