Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium

One of non-Newtonian fluid, Casson fluid, has a diversify application in the manufacturing and engineering sector due to its elasticity behaviour. This study provides the analytical solution of unsteady Casson fluid with the presence of thermal radiation and chemical reaction in a porous medium. For...

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Main Authors: Nur Fatihah, Mod Omar, Husna Izzati, Osman, Ahmad Qushairi, Mohamad, Rahimah, Jusoh, Zulkhibri, Ismail
Format: Article
Language:English
Published: Semarak Ilmu Publishing 2023
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/39332/1/Analytical%20Solution%20of%20Unsteady%20MHD%20Casson%20Fluid%20with%20Thermal%20Radiation%20and%20Chemical%20Reaction%20in%20Porous%20Medium.pdf
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author Nur Fatihah, Mod Omar
Husna Izzati, Osman
Ahmad Qushairi, Mohamad
Rahimah, Jusoh
Zulkhibri, Ismail
author_facet Nur Fatihah, Mod Omar
Husna Izzati, Osman
Ahmad Qushairi, Mohamad
Rahimah, Jusoh
Zulkhibri, Ismail
author_sort Nur Fatihah, Mod Omar
collection UMP
description One of non-Newtonian fluid, Casson fluid, has a diversify application in the manufacturing and engineering sector due to its elasticity behaviour. This study provides the analytical solution of unsteady Casson fluid with the presence of thermal radiation and chemical reaction in a porous medium. Formulation of this fluid model is initiated with the partial differential equation (PDE) of the momentum and energy equations as well as the concentration equation. By applying the proper non-dimensional variables, these equations are then converted into dimensionless form. Subsequently, the derivation of the exact solutions for the concentration, temperature and velocity profiles is conducted with the operation of the Laplace transform method that satisfies both initial and boundary equations. Graphical illustrations, which portray the various effects on this study are generated. It has been revealed that as the thermal radiation, chemical species and porosity increases, so does the velocity profile. However, MHD and Casson parameter shown opposite behaviour in the velocity profiles.
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spelling UMPir393322024-03-05T02:26:52Z http://umpir.ump.edu.my/id/eprint/39332/ Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium Nur Fatihah, Mod Omar Husna Izzati, Osman Ahmad Qushairi, Mohamad Rahimah, Jusoh Zulkhibri, Ismail QA Mathematics One of non-Newtonian fluid, Casson fluid, has a diversify application in the manufacturing and engineering sector due to its elasticity behaviour. This study provides the analytical solution of unsteady Casson fluid with the presence of thermal radiation and chemical reaction in a porous medium. Formulation of this fluid model is initiated with the partial differential equation (PDE) of the momentum and energy equations as well as the concentration equation. By applying the proper non-dimensional variables, these equations are then converted into dimensionless form. Subsequently, the derivation of the exact solutions for the concentration, temperature and velocity profiles is conducted with the operation of the Laplace transform method that satisfies both initial and boundary equations. Graphical illustrations, which portray the various effects on this study are generated. It has been revealed that as the thermal radiation, chemical species and porosity increases, so does the velocity profile. However, MHD and Casson parameter shown opposite behaviour in the velocity profiles. Semarak Ilmu Publishing 2023-01 Article PeerReviewed pdf en cc_by_nc_4 http://umpir.ump.edu.my/id/eprint/39332/1/Analytical%20Solution%20of%20Unsteady%20MHD%20Casson%20Fluid%20with%20Thermal%20Radiation%20and%20Chemical%20Reaction%20in%20Porous%20Medium.pdf Nur Fatihah, Mod Omar and Husna Izzati, Osman and Ahmad Qushairi, Mohamad and Rahimah, Jusoh and Zulkhibri, Ismail (2023) Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium. Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium, 29 (2). pp. 185-194. ISSN 2462-1943. (Published) https://semarakilmu.com.my/journals/index.php/applied_sciences_eng_tech/article/view/1517
spellingShingle QA Mathematics
Nur Fatihah, Mod Omar
Husna Izzati, Osman
Ahmad Qushairi, Mohamad
Rahimah, Jusoh
Zulkhibri, Ismail
Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium
title Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium
title_full Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium
title_fullStr Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium
title_full_unstemmed Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium
title_short Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium
title_sort analytical solution of unsteady mhd casson fluid with thermal radiation and chemical reaction in porous medium
topic QA Mathematics
url http://umpir.ump.edu.my/id/eprint/39332/1/Analytical%20Solution%20of%20Unsteady%20MHD%20Casson%20Fluid%20with%20Thermal%20Radiation%20and%20Chemical%20Reaction%20in%20Porous%20Medium.pdf
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