Explicit finite difference analysis of an unsteady MHD flow of a chemically reacting Casson fluid past a stretching sheet with Brownian motion and thermophoresis effects
This study intends to elaborate the heat and mass transfer analysis of Casson nanofluid flow past a stretching sheet together with magnetohydrodynamics (MHD), thermal radiation and chemical reaction effects. The boundary layer approximations established the governing equations, i.e., time-subservien...
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doaj-367ffae49c18428fa19a44af20bf21152020-11-25T02:39:35ZengElsevierJournal of King Saud University: Science1018-36472020-01-01321690701Explicit finite difference analysis of an unsteady MHD flow of a chemically reacting Casson fluid past a stretching sheet with Brownian motion and thermophoresis effectsSk. Reza-E-Rabbi0S.M. Arifuzzaman1Tanmoy Sarkar2Md. Shakhaoath Khan3Sarder Firoz Ahmmed4Mathematics Discipline, Khulna University, Khulna 9208, BangladeshSchool of Computing, Engineering and Mathematics, Western Sydney University, Penrith, NSW 2751, AustraliaMathematics Discipline, Khulna University, Khulna 9208, BangladeshSchool of Engineering, RMIT University, GPO Box 2476, Melbourne 3001, VIC, Australia; Corresponding authors.Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh; Corresponding authors.This study intends to elaborate the heat and mass transfer analysis of Casson nanofluid flow past a stretching sheet together with magnetohydrodynamics (MHD), thermal radiation and chemical reaction effects. The boundary layer approximations established the governing equations, i.e., time-subservient momentum, energy and diffusion balance equations. An explicit finite difference scheme was implemented as a numerical technique where Compaq Visual Fortran 6.6.a programming code is also developed for simulating the fluid flow system. In order to accurateness of the numerical technique, a stability and convergence analysis was carried out where the system was found converged at Prandtl number, Pr ≥ 0.062 and Lewis number, Le ≥ 0.025 when τ = 0.0005, ΔX = 0.8 and ΔY = 0.2. The non-dimensional outcomes are apprehended here which rely on various physical parameters. The impression of these various physical parameters on momentum and thermal boundary layers along with concentration profiles are discussed and displayed graphically. In addition, the impact of system parameters on Cf, Nu and Sh profiles with streamlines and isothermal lines are also discussed. Keywords: Casson nanofluid, Heat and mass transfer, MHD, Thermal radiation, Stretching sheethttp://www.sciencedirect.com/science/article/pii/S101836471831019X |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sk. Reza-E-Rabbi S.M. Arifuzzaman Tanmoy Sarkar Md. Shakhaoath Khan Sarder Firoz Ahmmed |
spellingShingle |
Sk. Reza-E-Rabbi S.M. Arifuzzaman Tanmoy Sarkar Md. Shakhaoath Khan Sarder Firoz Ahmmed Explicit finite difference analysis of an unsteady MHD flow of a chemically reacting Casson fluid past a stretching sheet with Brownian motion and thermophoresis effects Journal of King Saud University: Science |
author_facet |
Sk. Reza-E-Rabbi S.M. Arifuzzaman Tanmoy Sarkar Md. Shakhaoath Khan Sarder Firoz Ahmmed |
author_sort |
Sk. Reza-E-Rabbi |
title |
Explicit finite difference analysis of an unsteady MHD flow of a chemically reacting Casson fluid past a stretching sheet with Brownian motion and thermophoresis effects |
title_short |
Explicit finite difference analysis of an unsteady MHD flow of a chemically reacting Casson fluid past a stretching sheet with Brownian motion and thermophoresis effects |
title_full |
Explicit finite difference analysis of an unsteady MHD flow of a chemically reacting Casson fluid past a stretching sheet with Brownian motion and thermophoresis effects |
title_fullStr |
Explicit finite difference analysis of an unsteady MHD flow of a chemically reacting Casson fluid past a stretching sheet with Brownian motion and thermophoresis effects |
title_full_unstemmed |
Explicit finite difference analysis of an unsteady MHD flow of a chemically reacting Casson fluid past a stretching sheet with Brownian motion and thermophoresis effects |
title_sort |
explicit finite difference analysis of an unsteady mhd flow of a chemically reacting casson fluid past a stretching sheet with brownian motion and thermophoresis effects |
publisher |
Elsevier |
series |
Journal of King Saud University: Science |
issn |
1018-3647 |
publishDate |
2020-01-01 |
description |
This study intends to elaborate the heat and mass transfer analysis of Casson nanofluid flow past a stretching sheet together with magnetohydrodynamics (MHD), thermal radiation and chemical reaction effects. The boundary layer approximations established the governing equations, i.e., time-subservient momentum, energy and diffusion balance equations. An explicit finite difference scheme was implemented as a numerical technique where Compaq Visual Fortran 6.6.a programming code is also developed for simulating the fluid flow system. In order to accurateness of the numerical technique, a stability and convergence analysis was carried out where the system was found converged at Prandtl number, Pr ≥ 0.062 and Lewis number, Le ≥ 0.025 when τ = 0.0005, ΔX = 0.8 and ΔY = 0.2. The non-dimensional outcomes are apprehended here which rely on various physical parameters. The impression of these various physical parameters on momentum and thermal boundary layers along with concentration profiles are discussed and displayed graphically. In addition, the impact of system parameters on Cf, Nu and Sh profiles with streamlines and isothermal lines are also discussed. Keywords: Casson nanofluid, Heat and mass transfer, MHD, Thermal radiation, Stretching sheet |
url |
http://www.sciencedirect.com/science/article/pii/S101836471831019X |
work_keys_str_mv |
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