Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method
International Journal of Applied Mathematics and Theoretical Physics
Volume 5, Issue 4, December 2019, Pages: 111-117
Received: Sep. 7, 2019; Accepted: Oct. 28, 2019; Published: Dec. 10, 2019
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Ayele Tulu, Department of Mathematics, Wollega University, Nekemte, Ethiopia
Wubshet Ibrahim, Departments of Mathematics, Ambo University, Ambo, Ethiopia
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In this paper the problem of unsteady two-dimensional heat and mass transfer flow of nanofluid past a moving wedge is considered. The effects of nanoparticle volume fraction, viscous dissipation, chemical reaction, and convective boundary conditions are studied. The physical problem is modeled using partial differential equations. Using suitable similarity variables, the governing equations and their related boundary conditions are transformed into dimensionless forms of a system of coupled nonlinear ordinary differential equations. The resulting systems of equations are then solved numerically using spectral quasilinearization method (SQLM). The results reveal that the skin friction coefficient increases with increasing the values of nanoparticle volume fraction, unsteadiness and permeability parameters. The local Nusselt number reduces with increasing the value of nanoparticle volume fraction, Prandtl number and Eckert number. The local Sherwood number enhances with greater the value of nanoparticle volume fraction, unsteadiness, pressure gradient and chemical reaction parameters. Moreover, the method is checked against the previously published results and a very good agreement have been obtained.
Unsteady Flow, Wedge Surface, Nanofluid, Viscous Dissipation, Spectral Quasilinearization Method
To cite this article
Ayele Tulu, Wubshet Ibrahim, Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method, International Journal of Applied Mathematics and Theoretical Physics. Vol. 5, No. 4, 2019, pp. 111-117. doi: 10.11648/j.ijamtp.20190504.13
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