Flow of Brinkman Fluid with Heat Generation and Chemical Reaction

Unsteady magnetohydrodynamics (MHD) flow of fractionalized Brinkman-type fluid over a vertical plate is discussed. In the model of problem, additional effects such as heat generation/absorption and chemical reaction are also considered. The model is solved by using the Caputo fractional derivative....

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Main Authors: M. Ramzan, Zaib Un Nisa, M. Ahmad, M. Nazar
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/5757991
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author M. Ramzan
Zaib Un Nisa
M. Ahmad
M. Nazar
author_facet M. Ramzan
Zaib Un Nisa
M. Ahmad
M. Nazar
author_sort M. Ramzan
collection DOAJ
description Unsteady magnetohydrodynamics (MHD) flow of fractionalized Brinkman-type fluid over a vertical plate is discussed. In the model of problem, additional effects such as heat generation/absorption and chemical reaction are also considered. The model is solved by using the Caputo fractional derivative. The governing dimensionless equations for velocity, concentration, and temperature profiles are solved using the Laplace transform method and compared graphically. The effects of different parameters like fractional parameter, heat generation/absorption Q, chemical reaction R, and magnetic parameter M are discussed through numerous graphs. Furthermore, comparison among ordinary and fractionalized velocity fields are also drawn. From the figures, it is observed that chemical reaction and magnetic field have decreasing effect on velocity profile, whereas thermal radiation and mass Grashof numbers have increasing effect on the velocity of the fluid.
format Article
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institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-902864e950c94921ab4945b603ace8382025-02-03T01:24:53ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/57579915757991Flow of Brinkman Fluid with Heat Generation and Chemical ReactionM. Ramzan0Zaib Un Nisa1M. Ahmad2M. Nazar3Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, PakistanDepartment of Mathematics, University of Education Lahore, Multan Campus, Multan, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, PakistanUnsteady magnetohydrodynamics (MHD) flow of fractionalized Brinkman-type fluid over a vertical plate is discussed. In the model of problem, additional effects such as heat generation/absorption and chemical reaction are also considered. The model is solved by using the Caputo fractional derivative. The governing dimensionless equations for velocity, concentration, and temperature profiles are solved using the Laplace transform method and compared graphically. The effects of different parameters like fractional parameter, heat generation/absorption Q, chemical reaction R, and magnetic parameter M are discussed through numerous graphs. Furthermore, comparison among ordinary and fractionalized velocity fields are also drawn. From the figures, it is observed that chemical reaction and magnetic field have decreasing effect on velocity profile, whereas thermal radiation and mass Grashof numbers have increasing effect on the velocity of the fluid.http://dx.doi.org/10.1155/2021/5757991
spellingShingle M. Ramzan
Zaib Un Nisa
M. Ahmad
M. Nazar
Flow of Brinkman Fluid with Heat Generation and Chemical Reaction
Complexity
title Flow of Brinkman Fluid with Heat Generation and Chemical Reaction
title_full Flow of Brinkman Fluid with Heat Generation and Chemical Reaction
title_fullStr Flow of Brinkman Fluid with Heat Generation and Chemical Reaction
title_full_unstemmed Flow of Brinkman Fluid with Heat Generation and Chemical Reaction
title_short Flow of Brinkman Fluid with Heat Generation and Chemical Reaction
title_sort flow of brinkman fluid with heat generation and chemical reaction
url http://dx.doi.org/10.1155/2021/5757991
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