Significance of the Coriolis Force on the Dynamics of Carreau–Yasuda Rotating Nanofluid Subject to Darcy–Forchheimer and Gyrotactic Microorganisms

Bilal Ahmad, Muhammad Ozair Ahmad, Liaqat Ali, Bagh Ali, Ahmed Kadhim Hussein, Nehad Ali Shah and Jae Dong Chung
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Bilal Ahmad: Department of Mathematics and Statistics, The University of Lahore, Lahore 54590, Pakistan
Muhammad Ozair Ahmad: Department of Mathematics and Statistics, The University of Lahore, Lahore 54590, Pakistan
Liaqat Ali: School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, China
Bagh Ali: School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an 710072, China
Ahmed Kadhim Hussein: Mechanical Engineering Department, College of Engineering, University of Babylon, Hilla 00964, Iraq
Nehad Ali Shah: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
Jae Dong Chung: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea

Mathematics, 2022, vol. 10, issue 16, 1-15

Abstract: In this study, the significance of the Coriolis force on the dynamics of Carreau—Yasuda flow toward a continuously stretched surface subject to the Darcy–Forchheimer law is investigated. The nanoparticles are incorporated due to their unusual characteristics (e.g., extraordinary thermal conductivity), which are significant in heat exchangers and advanced nanotechnology. To avoid possible sedimentation of tiny particles, the gyrotactic microorganisms must be incorporated. The goal of this research was to find out the dynamics of three-dimensional rotational flow for nanofluids under the influence of Darcy–Forchheimer with the thermophoresis effect and motile microorganisms. The equations governing mass, momentum, and energy equations are formalized using partial derivatives, which may subsequently be transformed into dimensionless differential shapes using the personifications of apposite similarity transformations. The MATLAB application bvp4c was used in conjunction with a shooting technique to solve a nonlinear mathematical model based on ordinary differential equations. It was observed that the base fluid velocities decreased against higher input of rotation and porosity parameters; moreover, the Brownian motion and thermophoresis increased the temperature profile.

Keywords: numerical modeling; rotating frame; Darcy–Forchheimer; Carreau–Yasuda fluid; nanofluid (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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