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Research Article

Mathematical modelling of entropy generation in radiative non-Darcy flow of a Carreau-Yasuda nanofluid in a rotating channel with activation energy, Hall current and the Cattaneo-Christov heat flux

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Received 21 Apr 2023, Accepted 12 Dec 2023, Published online: 27 Dec 2023
 

Abstract

The current research investigates entropy generation in magnetohydrodynamic rotating multiple slip flow of Carreau-Yasuda nanofluid between parallel plates within a non-Darcy porous medium, considering factors such as viscous dissipation, Joule heating, Hall current, and nonuniform heat generation. The Carreau-Yasuda model, applicable to non-Newtonian fluids like blood and shampoo, is employed to comprehend rheological behavior. This study holds significance in industrial, technological, and medical domains, impacting areas like drilling muds, metallurgy, and cardiac MRI. Nonlinear thermal radiation enhances model realism. The research delves into chemical reactions influenced by activation energy. The mathematical model is formed using nonlinear partial differential equations with multiple slip boundary conditions, and addressed using a compatibility-based similarity transformation. Numerical solutions employ the successive linearization coupled with Chebyshev spectral collocation method. MATLAB-generated graphs and tables illustrate the influence of flow parameters on the physical quantities. The investigation reveals inverse and favoring trends of the Weissenberg number to the energy field in shear-thinning and shear-thickening scenarios, respectively. Velocity slip is found to diminishes entropy production in the channel.

Acknowledgments

R. Nandkeolyar is thankful to the Science and Engineering Research Board, Department of Science and Technology, Government of India for providing the financial assistant vide File No. MTR/2021/000426. Anindita Sahoo sincerely acknowledges the contribution in terms of Research Fellowship received from the National Institute of Technology Jamshedpur, Jamshedpur, India.

Disclosure statement

No potential conflict of interest was reported by the author(s).

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