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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Format: | Article |
Language: | English |
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Semarak Ilmu Publishing
2023
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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. |
first_indexed | 2024-03-06T13:11:06Z |
format | Article |
id | UMPir39332 |
institution | Universiti Malaysia Pahang |
language | English |
last_indexed | 2024-03-06T13:11:06Z |
publishDate | 2023 |
publisher | Semarak Ilmu Publishing |
record_format | dspace |
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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