Abstract

Abstract In this article, we have considered an incompressible nanofluids flow and studied the effects of variable viscosity in the form of a well-known Reynold’s model of viscosity in an asymmetric channel. The fluid viscosity is assumed to vary as an exponential function of temperature. The governing fundamental equations are approximated under the assumption of long wavelength and low Reynold,s number. The governing momentum and energy and nanoparticle equations are solved using shooting technique to obtain the expressions for stream functions, pressure rise temperature and nanoparticle concentration field. Trapping phenomena are also discussed at the end of the article to see the behaviour of different parameters on streamlines. It is analyzed that the pressure rise and amount of flow rate are charitable conflicting consequences. It is analyzed that the temperature profile increases with the increase in Prandtl parameter Pr, the Brownian motion parameter N b ${N_b}$ and the thermophoresis parameter N t ${N_t}$ .

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