Browsing by Author "Makinde, O. D."

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    Finite element numerical investigation into unsteady MHD radiating and reacting mixed convection past an impulsively started oscillating plate
    (MultiCraft, 2020) Matao, P. M.; Reddy, B. Prabhakar; Sunzu, J. M.; Makinde, O. D.
    In this article, numerical investigation is carried out for the unsteady MHD mixed convection flow of radiating and chemically reacting fluid past an impulsively started oscillating vertical plate with variable temperature and constant mass diffusion. The transport model employed includes the Hall current. A uniform magnetic field is applied transversely to the direction of the fluid flow. The flow consideration is subject to small magnetic Reynolds number. The Rosse land approximation is used to describe the radiation heat flux in the energy equation. The dimensionless governing system of partial differential equations of the flow has been solved numerically by employing the finite element method. The influence of pertinent parameters on primary velocity, secondary velocity, temperature and concentration are presented graphically whereas primary skin friction, secondary skin friction, Nusselt number and Sherwood number are presented in tabular form. A comparison of the present method was made with the exact solution obtained by Rajput and Kanaujia (2016) by considering primary and secondary skin frictions, it was noticed that a very good agreement.
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    Numerical study on heat absorbing MHD radiating and reacting flow past an impulsively moving vertical plate with ramped temperature and concentration with Hall current
    (Taylor & Francis, 2021) Reddy, B. Prabhakar; Makinde, O. D.
    In this paper, we made elaborate investigation of the Hall current and radiation effects on MHD heat absorbing unsteady natural convection flow of a viscous incompressible electrically conducting fluid past an impulsively moving infinite vertical plate with ramped temperature and concentration in the presence of first order chemical reaction. The constructing coupled PDEs of the model along with initial and boundary conditions are solved numerically by utilizing the robust FEM. The effects of significant parameters on the primary and secondary velocities, temperature and concentration within the boundary layer are examined. The computational assessment of the primary and secondary shear stresses, rate of heat and mass transfer at the plate surface are put in tabular form. The thermal and mass buoyancy effects elevate both primary and secondary velocity components whilst reverse trend takes place when radiation and chemical reaction parameters are increased. Both primary and secondary velocity components decrease with increasing magnetic parameter whilst opposite trend are noticed with increasing Hall parameter. An increase in Prandtl number and radiation parameter results to reduce temperature distribution. The concentration distribution decreases with increase in Schmidt number and chemical reaction parameter. The significant difference between the fluid velocities is noticed due to the ramped and isothermal boundary conditions.
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    Numerical study on heat absorbing MHD radiating and reacting flow past an impulsively moving vertical plate with ramped temperature and concentration with hall current
    (Taylor and Francis, 2021) Reddy, B. Prabhakar; Makinde, O. D.
    In this paper, we made elaborate investigation of the Hall current and radiation effects on MHD heat absorbing unsteady natural convection flow of a viscous incompressible electrically conducting fluid past an impulsively moving infinite vertical plate with ramped temperature and concentration in the presence of first order chemical reaction. The constructing coupled PDEs of the model along with initial and boundary conditions are solved numerically by utilizing the robust FEM. The effects of significant parameters on the primary and secondary velocities, temperature and concentration within the boundary layer are examined. The computational assessment of the primary and secondary shear stresses, rate of heat and mass transfer at the plate surface are put in tabular form. The thermal and mass buoyancy effects elevate both primary and secondary velocity components whilst reverse trend takes place when radiation and chemical reaction parameters are increased. Both primary and secondary velocity components decrease with increasing magnetic parameter whilst opposite trend are noticed with increasing Hall parameter. An increase in Prandtl number and radiation parameter results to reduce temperature distribution. The concentration distribution decreases with increase in Schmidt number and chemical reaction parameter. The significant difference between the fluid velocities is noticed due to the ramped and isothermal boundary conditions.
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    Numerical study on MHD radiating and reacting unsteady slip flow past a vertical permeable plate in a porous medium
    (Francis and Taylor, 2021) Reddy, B. Prabhakar; Makinde, O. D.
    This paper examines the unsteady hydro-magnetic boundary layer flow of a reacting and radiating electrically conducting fluid past a slippery permeable vertical plate embedded in a porous medium. The governing partial differential equations are obtained and tackled numerically via Galerkin finite element method. Pertinent results with respect to the effects of emerging thermo physical parameters on the velocity, temperature and concentration fields together with skin-friction, Nusselt number and Sherwood number are elucidated graphically and in tabular form. Numerical validation of the present work special case results with the one already in the literature shows an excellent agreement. It is found that buoyancy forces enhanced momentum boundary layer while magnetic field and radiative heat absorption lessen it. Both heat and mass transfer rate diminished with a rise in the rate of chemical reaction.