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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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 |
id | doaj-art-902864e950c94921ab4945b603ace838 |
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 |
work_keys_str_mv | AT mramzan flowofbrinkmanfluidwithheatgenerationandchemicalreaction AT zaibunnisa flowofbrinkmanfluidwithheatgenerationandchemicalreaction AT mahmad flowofbrinkmanfluidwithheatgenerationandchemicalreaction AT mnazar flowofbrinkmanfluidwithheatgenerationandchemicalreaction |