Comparative Analysis of a Cone, Wedge, and Plate Packed with Microbes in Non-Fourier Heat Flux

Halavudara Basavarajappa Santhosh, Mamatha Sadananda Upadhya, N. Ameer Ahammad, Chakravarthula Siva Krishnam Raju, Nehad Ali Shah and Wajaree Weera ()
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Halavudara Basavarajappa Santhosh: Department of Mathematics, The National Institute of Engineering, Mysuru 57008, Karnataka, India
Mamatha Sadananda Upadhya: Department of Mathematics, Kristu Jayanti College, Bengaluru 560043, Karnataka, India
N. Ameer Ahammad: Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia
Chakravarthula Siva Krishnam Raju: Department of Mathematics, GITAM School of Science, GITAM University, Bangalore 562163, Karnataka, India
Nehad Ali Shah: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
Wajaree Weera: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Mathematics, 2022, vol. 10, issue 19, 1-18

Abstract: In this study, we investigated a radiative chemically reactive Casson fluid above a cone, plate, and wedge with gyrotactic microorganisms subjected to the Cattaneo–Christov heat flux model. Newton’s method and the Runge–Kutta methods were employed to solve the physical problem, and a graphical representation of the numerous impacts of non-dimensional parameters on temperature, velocity, and concentration was created. In addition, we also compared recently published solutions with our current solution, which showed good agreement. From this investigation, we concluded that the motile organisms’ momentum, temperature, and concentration density were non-uniform in nature. Here, for engineering importance, we also present the mass transfer and thermal transfer rate over the cone, wedge, and plate cases in a tabular form. We concluded that the mass and heat transfer rate was larger over the cone when compared to the same case over a plate or wedge. The results also highlighted that the local Nusselt and Sherwood numbers and the mass density of the microorganisms depreciated as the Casson fluid parameter decreased. In summary, we concluded that the gyrotactic microorganisms played a role in enhancing the local Sherwood number.

Keywords: MHD; mixed convection; Casson fluid; Cattaneo–Christov heat flux model; microorganisms; cone or plate or wedge (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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