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Evolutionary Padé Approximation for Heat and Mass Transfer Analysis of Falkner–Skan Flow of a Bio-Convective Casson Fluid

Author

Listed:
  • Ghada Ali Basendwah

    (Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Nauman Raza

    (Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan)

  • Javaid Ali

    (Department of Mathematics, Government Graduate College Township, Lahore 54770, Pakistan)

Abstract

This study presents numerical work to investigate the Falkner–Skan flow of a bio-convective Casson fluid over a wedge using an Evolutionary Padé Approximation (EPA) scheme. The governing partial differential equations and boundary conditions of a Falkner–Skan flow model are transformed to a system of ordinary differential equations involving ten dimensionless parameters by using similarity transformations. In the proposed EPA framework, an equivalent constrained optimization problem is formed. The solution of the resulting optimization problem is analogous to the solution of the dimensionless system of ordinary differential equations. The solutions produced in this work, with respect to various combinations of the physical parameters, are found to be in good agreement with those reported in the previously published literature. The effects of a non-dimensional physical-parameter wedge, Casson fluid, fluid phase effective heat capacity, Brownian motion, thermophoresis, radiation, and magnetic field on velocity profile, temperature profile, fluid concentration profile, and the density of motile microorganisms are discussed and presented graphically. It is observed that the fluid velocity rises with a rise in the Casson fluid viscosity force parameter, and an increase in the Prandtl number causes a decrease in the heat transfer rate. Another significant observation is that the temperature and fluid concentration fields are greatly increased by an increase in the thermophoresis parameter. An increase in the Péclet number suppresses the microorganism density. Moreover, the increased values of the Prandtl number increase the local Nusslet number, whereas the skin friction is increased when an increase in the Prandtl number occurs.

Suggested Citation

  • Ghada Ali Basendwah & Nauman Raza & Javaid Ali, 2023. "Evolutionary Padé Approximation for Heat and Mass Transfer Analysis of Falkner–Skan Flow of a Bio-Convective Casson Fluid," Mathematics, MDPI, vol. 11(7), pages 1-25, March.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1688-:d:1113463
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    References listed on IDEAS

    as
    1. Khan, Kashif Ali & Seadawy, Aly R. & Raza, Nauman, 2022. "The homotopy simulation of MHD time dependent three dimensional shear thinning fluid flow over a stretching plate," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Waqar A. Khan & I. Pop, 2013. "Boundary Layer Flow Past a Wedge Moving in a Nanofluid," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, May.
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