Modeling and non-similar analysis for Darcy-Forchheimer-Brinkman model of Casson fluid in a porous media
In this study non-Newtonian Casson fluid is examined by using non-similar modeling of Darcy-Forchheimer-Brinkman model in non-Darcy porous media. The local non-similarity method upto 2nd order of iteration on non-similar partial differential equations (PDE's) via bvp4c is performed. The effects...
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2020
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my.upm.eprints.867822021-11-16T06:25:21Z http://psasir.upm.edu.my/id/eprint/86782/ Modeling and non-similar analysis for Darcy-Forchheimer-Brinkman model of Casson fluid in a porous media Farooq, Umer Ijaz, M. Ahsan Khan, M. Ijaz Mohamed Isa, Siti Suzillianaa Putri Lu, Dian Chen In this study non-Newtonian Casson fluid is examined by using non-similar modeling of Darcy-Forchheimer-Brinkman model in non-Darcy porous media. The local non-similarity method upto 2nd order of iteration on non-similar partial differential equations (PDE's) via bvp4c is performed. The effects of different parameters are studied locally for skin friction and Nusselt numbers. Furthermore, widen to both porous resistance and non- Newtonian Casson parameter increases heat transfer. Furthermore, the increasing porosity decreases the rate of heat transfer. The graphs of dimensionless velocity and dimensionless temperature boundary layer profiles are plotted. At the end, it is found that the increasing numerical values of Prandtl number enhances the rate of heat transfer. Elsevier 2020-12 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/86782/1/Modeling%20and%20non%20similar.pdf Farooq, Umer and Ijaz, M. Ahsan and Khan, M. Ijaz and Mohamed Isa, Siti Suzillianaa Putri and Lu, Dian Chen (2020) Modeling and non-similar analysis for Darcy-Forchheimer-Brinkman model of Casson fluid in a porous media. International Communications in Heat and Mass Transfer, 119. art. no. 104955. pp. 1-8. ISSN 0735-1933; ESSN: 1879-0178 https://www.sciencedirect.com/science/article/abs/pii/S0735193320304838 10.1016/j.icheatmasstransfer.2020.104955 |
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In this study non-Newtonian Casson fluid is examined by using non-similar modeling of Darcy-Forchheimer-Brinkman model in non-Darcy porous media. The local non-similarity method upto 2nd order of iteration on non-similar partial differential equations (PDE's) via bvp4c is performed. The effects of different parameters are studied locally for skin friction and Nusselt numbers. Furthermore, widen to both porous resistance and non- Newtonian Casson parameter increases heat transfer. Furthermore, the increasing porosity decreases the rate of heat transfer. The graphs of dimensionless velocity and dimensionless temperature boundary layer profiles are plotted. At the end, it is found that the increasing numerical values of Prandtl number enhances the rate of heat transfer. |
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Farooq, Umer Ijaz, M. Ahsan Khan, M. Ijaz Mohamed Isa, Siti Suzillianaa Putri Lu, Dian Chen |
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Farooq, Umer Ijaz, M. Ahsan Khan, M. Ijaz Mohamed Isa, Siti Suzillianaa Putri Lu, Dian Chen Modeling and non-similar analysis for Darcy-Forchheimer-Brinkman model of Casson fluid in a porous media |
author_facet |
Farooq, Umer Ijaz, M. Ahsan Khan, M. Ijaz Mohamed Isa, Siti Suzillianaa Putri Lu, Dian Chen |
author_sort |
Farooq, Umer |
title |
Modeling and non-similar analysis for Darcy-Forchheimer-Brinkman model of Casson fluid in a porous media |
title_short |
Modeling and non-similar analysis for Darcy-Forchheimer-Brinkman model of Casson fluid in a porous media |
title_full |
Modeling and non-similar analysis for Darcy-Forchheimer-Brinkman model of Casson fluid in a porous media |
title_fullStr |
Modeling and non-similar analysis for Darcy-Forchheimer-Brinkman model of Casson fluid in a porous media |
title_full_unstemmed |
Modeling and non-similar analysis for Darcy-Forchheimer-Brinkman model of Casson fluid in a porous media |
title_sort |
modeling and non-similar analysis for darcy-forchheimer-brinkman model of casson fluid in a porous media |
publisher |
Elsevier |
publishDate |
2020 |
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http://psasir.upm.edu.my/id/eprint/86782/1/Modeling%20and%20non%20similar.pdf http://psasir.upm.edu.my/id/eprint/86782/ https://www.sciencedirect.com/science/article/abs/pii/S0735193320304838 |
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