Numerical Investigation of the Magnetized Reactive Viscous Couple Stress Fluid Flow Down an Inclined Riga Plate with Variable Viscosity

Samuel Olumide Adesanya, Tunde Abdulkadir Yusuf () and Ramoshweu Solomon Lebelo
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Samuel Olumide Adesanya: Department of Mathematical Sciences, Redeemer’s University, Ede 232101, Nigeria
Tunde Abdulkadir Yusuf: Department of Mathematics, Faculty of Science, Adeleke University, Ede 232104, Nigeria
Ramoshweu Solomon Lebelo: Education Department, Vaal University of Technology, Private Bag X021, Vanderbijlpark 1911, South Africa

Mathematics, 2022, vol. 10, issue 24, 1-15

Abstract: Accurate determination of optimum flow and heat transfer condition is one of the major challenges faced in the application of magnetic fluid in the field of medicine and engineering, especially when applied as ferrofluids for targeted drug deliveries, treatment of hyperthermia, sealants in computer hard drives, lubricants in car shafts. In view of these important applications, a mathematical investigation of the flow and heat transfer behavior of reactive magnetic fluids containing nanostructures is presented based on a couple of stress constitutive models. The reactive fluid is assumed to flow through inclined magnetized solid boundaries for energy conversion. The formulation leads to nonlinear coupled equations. The dimensionless equations are numerically solved using the spectral Chebyshev assumed solution for the weighted residual technique, and the correctness of the solution is confirmed using the shooting Runge–Kutta method. The effects of various fluid parameters on velocity, temperature, skin friction, and heat transfer rates are described in tabular and graphical form, along with suitable physical explanations. Thermal analysis computations are also presented. According to the findings, an enhanced couple of stress fluid and variable viscosity parameters reduced the skin drag and heat transfer rate at the bottom wall. Furthermore, the thermal stability of the flow can be achieved with increasing values modified Hartman number while increasing couple stress parameter encourages thermal instability in the flow domain.

Keywords: reactive magnetic fluid; couple stress; Riga surface; Chebyshev spectral method (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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