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The current presentation is intended for the Walters’viscoelastic flow of nanofluid over a stretching sheet embedding with permeable medium. Buongiorno model nanofluid associated to both Brownian and thermophoresis affects the flow phenomena because of the communication of the radiative heat as well as the dissipative heat. The reactive species in conjunction with first-order chemical reaction enriches the solutal transfer profile. The present study has a novel approach because of the current applications in particular the production processes in industries as well as drug delivery system in the flow of blood in artery etc. The assumption of similarity variables is useful for the transformation of the governing equations. Because of the complexity of the problem perturbation technique is employed for the reduction of higher order differential equations to its lower order for the suitable choice of perturbation parameter. Further, shooting based Runge–Kutta technique is used to get the complete numerical solutions. However, the significant characteristics of the important results are; impact of buoyant forces for the conjunction of thermal and solutal buoyancy overshoots the velocity distribution and the fluid temperature augments for the higher values of the thermophoresis parameter whereas reverse impact is rendered for the Brownian motion.

Elastico-viscous Buongiorno model nanofluid flow over a stretching sheet with radiative heat transfer phenomena