Department of Mathematical Sciences

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Browsing Department of Mathematical Sciences by Subject "ADM"

Now showing 1 - 5 of 5
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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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    Initial-Boundary-Value Problem of Hyperbolic Equations for Viscous Blood Flow through a Tapered Vessel
    (Journal of the Nigerian Mathematical Society, 2014) Adesanya, Samuel
    In this paper, the effect of viscosity on blood flow through a tapered artery is studied. Approximate solutions of the coupled nonlinear partial differential equations that model the viscous blood a complaint artery are obtained using Adomian decomposition method (ADM). The convergence and parametric study of the solution are presented and discussed including shock development. The result of the computation shows that viscosity has significant influence on blood flow
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    Pulsating Flow through Vertical Porous Channel with Viscous Dissipation Effect
    (U.P.B. Sci. Bull., Series D, 2015) Adesanya, Samuel
    : This study investigates the effect of viscous dissipation on the pulsatile flow through a vertical porous channel subjected to periodic heating at the heated walls. The flow governing equations are transformed into corresponding nondimensional form. The dimensionless nonlinear coupled system of partial differential equations are then reduced to ordinary differential equations. Approximate solutions in the form of Adomian decomposition method (ADM) are obtained and the solutions are shown to be convergent. Important properties of the overall structure of the flow are presented and discussed including skin friction and Nusselt number
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    Second Law Analysis for Hydromagnetic Couple Stress Fluid Flow Through a Porous Channel
    (Alexandria Engineering Journal, 2016) Adesanya, Samuel
    In this work, the combined effects of magnetic field and ohmic heating on the entropy generation rate in the flow of couple stress fluid through a porous channel are investigated. The equations governing the fluid flow are formulated, non-dimensionalised and solved using a rapidly convergent semi-analytical Adomian decomposition method (ADM). The result of the computation shows a significant dependence of fluid’s thermophysical parameters on Joule’s dissipation as well as decline in the rate of change of fluid momentum due to the interplay between Lorentz and viscous forces. Moreover, the rate of entropy generation in the flow system drops as the magnitude of the magnetic field increases
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    Second-Law Analysis for Buoyancy-Driven Hydromagnetic Couple Stress Fluid Flow through a Porous Channel
    (ELSEVIER Comptes Rendus Mecanique, 2016) Adesanya, Samuel
    This paper examines the combined effects of the buoyancy force and of the magnetic field on the entropy generation rate in the flow of a couple stress fluid through a porous vertical channel. The flow’s dynamical equations were non-dimensionalised and solved via the application of the Adomian decomposition method (ADM). Variations of some thermophysical parameters were conducted and discussed, with regard to the physics of the fluid. Our result shows that the entropy generation rate increases as the buoyancy increases in the fluid. In addition, the irreversibility in the flow system results mainly from the fluid’s viscosity, ohmic heating and the buoyancy.