Interaction between chemical species and generalized Fourier’s law on 3D flow of Carreau fluid with variable thermal conductivity and heat sink/source: A numerical approach

Abstract

Abstract This paper deals with three-dimensional (3D) flow of a Carreau fluid by utilizing the impact of heterogeneous-homogeneous reactions towards the bidirectional stretched surface. The heat transfer mechanism is carried out in apparition of improved heat conduction relation. This occurrence is documented upon the notion of generalized Fourier’s law that contributes by the thermal relaxation. Additionally, temperature dependent thermal conductivity and heat sink/source are accounted. On utilization of a suitable conversions a system of nonlinear ordinary differential equation (ODEs) is attained and then inferred numerically via bvp4c approach. The delineations of velocities, temperature and concentration fields corresponding to the numerous somatic parameters are scrutinized explicitly. The impact of local Weissenberg number We 1 on f ′ ( η ) and We 2 on g ′ ( η ) are same for (n = 0.5 and 1.5). Furthermore, our inspection spectacles that the concentration of the Carreau liquid decays as the heterogeneous-homogeneous reaction k 2 , k 1 parameters boost up. It is also remarkable that for shear thinning ( n 1 ) fluid the influence of local Weissenberg numbers We 1 , We 2 are absolutely contradictory as associated with the case of shear thickening ( n > 1 ) fluid. For authentication of numerical outcomes a comparison table is prepared via benchmarking with formerly itemized limiting cases and we pledge a marvelous communication with these results. Additionally, graphically assessment is presented between numerically (bvp4c) and analytically (HAM) techniques with tremendous settlement.