Significance of Weissenberg Number, Soret Effect and Multiple Slips on the Dynamic of Biconvective Magnetohydrodynamic Carreau Nanofuid Flow

Pardeep Kumar, Hemant Poonia, Liaqat Ali (), Nehad Ali Shah and Jae Dong Chung
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Pardeep Kumar: Department of Mathematics and Statistics, Chaudhary Charan Singh Haryana Agricultural University, Hisar 125004, India
Hemant Poonia: Department of Mathematics and Statistics, Chaudhary Charan Singh Haryana Agricultural University, Hisar 125004, India
Liaqat Ali: School of Sciences, Xi’an Technological University, Xi’an 710021, China
Nehad Ali Shah: Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea
Jae Dong Chung: Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea

Mathematics, 2023, vol. 11, issue 7, 1-14

Abstract: This study focused on the analysis of two-dimensional incompressible magnetohydrodynamic Carreau nanofluid flow across a stretching cylinder containing microorganisms with the impacts of chemical reactions and multiple slip boundary conditions. Moreover, the main objective is concerned with the enhancement of thermal transportation with the effect of heat source and bioconvection. By assigning pertinent similarity transitions to the governing partial differential equations, a series of equations (ODES) is generated. An optimum computational solver, namely the bvp5c software package, is utilized for numerical estimations. The impact of distinct parameters on thermal expansion, thermophoresis, and the Nusselt number has been emphasized, employing tables, diagrams, and surface maps for both shear thinning ( n < 1) and shear thickening ( n > 1) instances. Motile concentration profiles decrease with L b and the motile microorganism density slip parameter. It is observed that with increasing values of P r , both the boundary layer thickness and temperature declined in both cases. The Weissenberg number demonstrates a different nature depending on the type of fluid; skin friction, the velocity profile and Nusselt number drop when n < 1 and increase when n > 1. The two- and three-dimensional graphs show the simultaneous effect of involving parameters with physical quantities. The accuracy of the existing observations is evidenced by the impressive resemblance between the contemporary and preceding remedies.

Keywords: thermal radiation; nanoparticle; chemical reaction; stretching cylinder; heat source (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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