ANALYSIS OF THE FLOW OF BRINKMAN-TYPE NANOFLUID USING GENERALIZED FOURIER’S AND FICK’S LAWS

Nadeem Ahmad Sheikh, Dennis Ling Chuan Ching, Hamzah Bin Sakidin and Ilyas Khan
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Nadeem Ahmad Sheikh: Fundamental and Applied Science Department, Universiti Teknologi PETRONAS, Perak 32610, Malaysia
Dennis Ling Chuan Ching: Fundamental and Applied Science Department, Universiti Teknologi PETRONAS, Perak 32610, Malaysia
Hamzah Bin Sakidin: Fundamental and Applied Science Department, Universiti Teknologi PETRONAS, Perak 32610, Malaysia
Ilyas Khan: ��Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-14

Abstract: The enhancement of the working ability of the industrial fluid is the need of the present era; nanofluid is an emerging field in science and technology. In this study, the Brinkman-type fluid model is used and is generalized using the Fourier’s and Fick’s laws. The graphene oxide nanoparticles are dispersed in the base fluid water. The fractional partial differential equations are then solved via the Laplace and Fourier transform method. The obtained solutions for velocity, heat transfer, and mass transfer are plotted in graphs. The results show that velocity profile decreases for Brinkman-type fluid parameter and volume fraction of the nanoparticles. The plot for the fractional parameter shows that different plots can be drawn for a fixed time and other physical parameters, which is the memory effect.

Keywords: Brinkman-Type Fluid; Fourier’s and Fick’s Laws; Nanoparticles; Caputo Fractional Derivatives; Exact Solutions (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400448

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