An MHD Flow of Non-Newtonian Fluid Due to a Porous Stretching/Shrinking Sheet with Mass Transfer

Ulavathi Shettar Mahabaleshwar, Thippeswamy Anusha, David Laroze, Nejla Mahjoub Said and Mohsen Sharifpur
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Ulavathi Shettar Mahabaleshwar: Department of Mathematics, Davangere University, Shivagangotri, Davangere 577007, India
Thippeswamy Anusha: Department of Mathematics, Davangere University, Shivagangotri, Davangere 577007, India
David Laroze: Instituto de Alta Investigación, CEDENNA, Universidad de Tarapacá, Casilla 7D, Arica 1000000, Chile
Nejla Mahjoub Said: Department of Physics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Mohsen Sharifpur: Department of Mechanical and Aeronautical Engineering, University of Pretoria, Pretoria 0002, South Africa

Sustainability, 2022, vol. 14, issue 12, 1-16

Abstract: An examination is carried out for three-dimensional incompressible viscoelastic fluid flow over a porous stretching/shrinking sheet with hybrid nanoparticles copper-alumina ( C u − A l 2 O 3 ) in base fluid water ( H 2 O ) . The uniform magnetic field of strength B 0 is applied perpendicular to the fluid flow and considered the Navier slip. The mass transfer is considered with the chemical reaction rate. The governing equation for the defined flow forms the system of partial differential equations, which are then transformed into a system of ordinary differential equations via similarity transformations. The goal is to find the exact analytical solution, and the unique solution is determined by considering the boundary layer theory. Furthermore, the obtained system is solved to get the exact analytical solution for velocity and concentration fields in exponential form and in hypergeometric form, respectively. The exact solutions are obtained for velocity and temperature profiles, Skin friction, and Nusselt number. These findings are beneficial for future research in the present area. The parameters magnetic field, Inverse Darcy number, slip parameter, chemical reaction parameter, stretching/shrinking parameter, and viscoelastic parameter, influence the flow. The effect of these parameters on fluid velocity and concentration field will be analyzed through graphs. Skin friction and Nusselt number are also analyzed. This work found many applications in machining and manufacturing, solar energy, MHD flow meters and pumps, power generators, geothermal recovery, flow via filtering devices, chemical catalytic reactors, etc.

Keywords: viscoelastic fluid; hybridnanofluid; MHD; porosity; chemical reaction parameter (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2022
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