Analysis of Couette Flow of a Nanofluid in an Inclined Channel with Soret and Dufour Effects

Abstract

The solution to the problem of laminar fluid flow in an inclined parallel walls resulting from the movement of the lower wall while the upper wall remain stationary (Coette flow) in a nanofluid with thermal convection, Soret and Dufour effects with radiation has been obtained using the Modified Adomian Decomposition Method for the first time. The model used for the nanofluid was presented in its rectangular coordinate system and incorporates the effect of Brownian motion, and thermophoresis parameter. A similarity solution is presented which depends on the Prandtl number rP, Lewis number Le,Brownian motion bN, thermophoresis numbertN, Soret (Sr) number, Dufour (DU) number, and Grashof numbers GrT, Grc. It is found that increase in Soret number leads to reduction in temperature and nanofraction profiles while increase in Dufour number enhances the temperature and nanofracion profiles. A comparative analysis of present study was carried out with the numerical on Table 1, and it was observed the two method are in good agreement.