Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier’s and Fick’s Laws: Exact Solutions and Entropy Generation
Joint Authors
Chuan Ching, Dennis Ling
Khan, Ilyas
Sheikh, Nadeem Ahmad
Sakidin, Hamzah bin
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-30
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Sheikh, Nadeem Ahmad& Chuan Ching, Dennis Ling& Khan, Ilyas& Sakidin, Hamzah bin. 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،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1201872
Modern Language Association (MLA)
Sheikh, Nadeem Ahmad…[et al.]. 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 No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1201872
American Medical Association (AMA)
Sheikh, Nadeem Ahmad& Chuan Ching, Dennis Ling& Khan, Ilyas& Sakidin, Hamzah bin. 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. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1201872
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201872