A computational assessment of radiative heat transport within a conduit having power-law nanofluid flow

Abstract

The influence of first order chemical reaction and thermal radiation on hydromagnetic heat and mass transport of power-law Carreau fluid flow via a convergent and divergent conduit due to heat source is investigated. A volumetric heat generating source and non-linear thermal radiation is considered for the fluid flow that is producing heat in the form of thermal radiation. The basic conservation equations including mass, momentum, energy, and species concentration in radial mode are reconstructed and solved numerically with RK-4 method based on the shooting simple algorithm. The model used for the existence of nanoparticles is the phenomenon model, considering the Brownian and thermophoresis of the particles. The momentum equation is assembled with Carreau model which extend the Jaffrey-Hamel problem. The effects of different power-law indices on thermal transmission due to fluid friction, heat, and mass transfer are primarily manifested in rheological properties, which elucidates that the shear-thickening fluids are more effective than the shear-thinning fluids. The rate of thermal transmission is found to be maximum on heat sources and minimum on maximizing the power law index. The investigations might aid in developing a method that is physically sound for systematizing assessments of fluid flow and energy use in contracting/expanding channels.

Keywords

heat conduction / thermal radiation / heat generation / Jaffrey-Hamel flow / power-law Carreu fluid / numerical results

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