Abstract

In addition to the non-Newtonian fluids (NNFs), thermophysical analysis of NNF–NNF is very useful for developing unsteady flow measurements. This work aims to provide a two dimensional (2-D) optimization problem consisting of thermal radiation, viscous dissipation, and inclined magnetic force based on the Buongiorno mathematical model. In this way, the unsteady 2-D flow is simulated through a permeable shrinking wall, and the governing partial differential equations are reduced to a set of ordinary differential equations which can be easily solved by the robust homotopic approach (RHA). It is shown that the present RHA agrees very well with those numerical and analytical findings available in the open literature. In fact, it can be concluded that employing a desirable solution methodology is essential for nonlinear boundary value problems combined with the thermophysical properties.

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