Abstract

Objective of the present study is to magnify the effects of Cattaneo–Christov heat and mass flux models on the phenomena of heat and mass transfer aspects for single-phase Jeffrey nanoliquid above a permeable cone in the occurrence of Darcy–Forchheimmer, Brownian motion and thermophoresis effects. The primitive governing equations for Jeffrey fluid flow are formulated with the aid to boundary layer approximations. The non-dimensional forms of the corresponding equations are elucidated by the optimal homotopy analysis method (OHAM). Some elementary features as velocity, temperature and nanoparticles concentrations with respect to the various critical parameters like magnetic parameter, porosity, Darcy–Forchheimmer, Prandtl number, thermophoresis parameter, Brownian motion, Deborah number of first and second kind, Schmidt number and Jeffrey fluid parameter are investigated via plots. The study also divulges the investigation of the skin friction factor, the Nusselt number and the Sherwood number through tables. A comparative study between the OHAM with the previously published results justifies the salient features of OHAM.

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