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Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier's and Fick's Laws: Exact Solutions and Entropy Generation

A new scheme to formulating the Caputo time-fractional model for the flow of Brinkman-type fluid between the plates was introduced by using the generalized laws of Fourier and Fick. Within a channel, free convection flow of the electrically conducted Brinkman-type fluid was considered. A newly gener...

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Main Authors:	Sheikh, N.A., Chuan Ching, D.L., Khan, I., Sakidin, H.B.
Format:	Article
Published:	Hindawi Limited 2020
Online Access:	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099281479&doi=10.1155%2f2020%2f8896555&partnerID=40&md5=e4190a1b3bbe463c5dd04c609156bae9 http://eprints.utp.edu.my/23180/
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spelling	my.utp.eprints.231802021-08-19T06:09:56Z Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier's and Fick's Laws: Exact Solutions and Entropy Generation Sheikh, N.A. Chuan Ching, D.L. Khan, I. Sakidin, H.B. A new scheme to formulating the Caputo time-fractional model for the flow of Brinkman-type fluid between the plates was introduced by using the generalized laws of Fourier and Fick. Within a channel, free convection flow of the electrically conducted Brinkman-type fluid was considered. A newly generated transformation was applied to the heat and mass concentration equations. The governing equations were solved by the techniques of Fourier sine and the Laplace transforms. In terms of the special function, namely, the Mittag-Leffler function, final solutions were obtained. The entropy generation and Bejan number are also calculated for the given flow. To explain the conceptual arguments of the embedded parameters, separate plots are represented in figures and are often quantitatively computed and presented in tables. It is worth noting that for increasing the values of the Brinkman-type fluid parameter, the velocity profile decreases. The regression analysis shows that the variation in the velocity for time parameter is statistically significant. Â© 2020 Nadeem Ahmad Sheikh et al. Hindawi Limited 2020 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099281479&doi=10.1155%2f2020%2f8896555&partnerID=40&md5=e4190a1b3bbe463c5dd04c609156bae9 Sheikh, N.A. and Chuan Ching, D.L. and Khan, I. and Sakidin, H.B. (2020) Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier's and Fick's Laws: Exact Solutions and Entropy Generation. Mathematical Problems in Engineering, 2020 . http://eprints.utp.edu.my/23180/
institution	Universiti Teknologi Petronas
building	UTP Resource Centre
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Teknologi Petronas
content_source	UTP Institutional Repository
url_provider	http://eprints.utp.edu.my/
description	A new scheme to formulating the Caputo time-fractional model for the flow of Brinkman-type fluid between the plates was introduced by using the generalized laws of Fourier and Fick. Within a channel, free convection flow of the electrically conducted Brinkman-type fluid was considered. A newly generated transformation was applied to the heat and mass concentration equations. The governing equations were solved by the techniques of Fourier sine and the Laplace transforms. In terms of the special function, namely, the Mittag-Leffler function, final solutions were obtained. The entropy generation and Bejan number are also calculated for the given flow. To explain the conceptual arguments of the embedded parameters, separate plots are represented in figures and are often quantitatively computed and presented in tables. It is worth noting that for increasing the values of the Brinkman-type fluid parameter, the velocity profile decreases. The regression analysis shows that the variation in the velocity for time parameter is statistically significant. Â© 2020 Nadeem Ahmad Sheikh et al.
format	Article
author	Sheikh, N.A. Chuan Ching, D.L. Khan, I. Sakidin, H.B.
spellingShingle	Sheikh, N.A. Chuan Ching, D.L. Khan, I. Sakidin, H.B. Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier's and Fick's Laws: Exact Solutions and Entropy Generation
author_facet	Sheikh, N.A. Chuan Ching, D.L. Khan, I. Sakidin, H.B.
author_sort	Sheikh, N.A.
title	Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier's and Fick's Laws: Exact Solutions and Entropy Generation
title_short	Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier's and Fick's Laws: Exact Solutions and Entropy Generation
title_full	Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier's and Fick's Laws: Exact Solutions and Entropy Generation
title_fullStr	Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier's and Fick's Laws: Exact Solutions and Entropy Generation
title_full_unstemmed	Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier's and Fick's Laws: Exact Solutions and Entropy Generation
title_sort	generalization of the convective flow of brinkman-type fluid using fourier's and fick's laws: exact solutions and entropy generation
publisher	Hindawi Limited
publishDate	2020
url	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099281479&doi=10.1155%2f2020%2f8896555&partnerID=40&md5=e4190a1b3bbe463c5dd04c609156bae9 http://eprints.utp.edu.my/23180/
_version_	1738656435426820096
score	13.211869

Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier's and Fick's Laws: Exact Solutions and Entropy Generation

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