Boundary-layer non-Newtonian flow over vertical plate in porous medium saturated with nanofluid

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The free convective heat transfer to the power-law non-Newtonian flow from a vertical plate in a porous medium saturated with nanofluid under laminar conditions is investigated.It is considered that the non-Newtonian nanofluid obeys the mathematical model of power-law.The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis.The partial differential system governing the problem is transformed into an ordinary system via a usual similarity transformation.The numerical solutions of the resulting ordinary system are obtained.These solutions depend on the power-law index n,Lewis number Le,buoyancy-ratio number Nr,Brownian motion number Nb,and thermophoresis number Nt.For various values of n and Le,the effects of the influence parameters on the fluid behavior as well as the reduced Nusselt number are presented and discussed.
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