Department of Mathematical Sciences

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Browsing Department of Mathematical Sciences by Subject "Adomian decomposition method"

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    Entropy Generation in Couple Stress Fluid Flow through Porous Channel with Fluid Slippage
    (Int. J. Exergy, 2014) Adesanya, Samuel
    In this paper, entropy generation in couple stress fluid flowing steadily through a porous channel with slip at the isothermal walls is considered. The Navier slip model is employed at both walls. Analytical solutions for the governing nonlinear boundary-value problems are constructed using Adomian decomposition method (ADM). Important flow properties are presented and discussed including the entropy generation and irreversibility ratio.
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    Unsteady Squeezing Flow of a Radiative Eyring-Powell Fluid Channel Flow with Chemical Reactions
    (ELSEVIER International Journal of Thermal Sciences, 2018) Adesanya, Samuel
    This paper studied the transient squeezing flow of a radiative magnetohydrodynamics (MHD) Eyring-Powell fluid through an infinite channel. The present analysis includes internal heat generation/absorption effects associated with exothermic or endothermic nature of the reaction. Appropriate equations governing the flow problem are formulated with detailed mathematical analysis by using suitable simplifying assumptions. Approximate solutions of the resulting nonlinear boundary value problems are obtained via Adomian decomposition method (ADM) and validated numerically with the Runge-Kutta Shooting Method (RKSM). The result of the computation shows that the transverse magnetic field decreases both the flow velocity and wall shear stress when the walls are expanded. Also, contraction of the channel walls, heat generation, and radiation parameters enhances the wall Nusselt number while chemical reaction, Schmidt and compressed channel parameters decrease the wall Sherwood number.