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Modeling and non-similar analysis for Darcy-Forchheimer-Brinkman model of Casson fluid in a porous media


Citation

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

Abstract

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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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1016/j.icheatmasstransfer.2020.104955
Publisher: Elsevier
Keywords: Non-Darcy-Forchheimer-Brinkman; Porous media; Non-similar; Casson fluid; Bvp4c
Depositing User: Mohamad Jefri Mohamed Fauzi
Date Deposited: 16 Nov 2021 06:25
Last Modified: 16 Nov 2021 06:25
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.icheatmasstransfer.2020.104955
URI: http://psasir.upm.edu.my/id/eprint/86782
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