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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Main Authors: Sk. Reza-E-Rabbi, S.M. Arifuzzaman, Tanmoy Sarkar, Md. Shakhaoath Khan, Sarder Firoz Ahmmed
Format: Article
Language:English
Published: Elsevier 2020-01-01
Series:Journal of King Saud University: Science
Online Access:http://www.sciencedirect.com/science/article/pii/S101836471831019X
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spelling 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
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