Abstract

The purpose of this research work is to study the characteristics of non-Newtonian Oldroyd-B fluid flow generated by time-dependent stretching of the cylinder, embedded in a Darcy–Forchheimer porous media. The unsteadiness in the flow field, thermal and solutal transport is analyzed through non-dimensional parameters. In the presence of nanoparticles, the analysis of thermal conductivity and mass diffusivity of the fluid is an important goal of this research. The variable thermal conductivity, joule heating, and activation energy are added in the present problem as energy constraints. To visualize the effects of dimensionless physical parameters on flow and energy transport phenomenon, the optimal homotopic simulation is used for the solution. The proposed scheme’s convergence analysis is presented in the form of a table, which demonstrates the procedure’s reliability. The graphical abstract is drawn to investigate the physical behavior of dimensionless velocity, temperature, and concentration distributions for various leading parameters. The results proved that near the surface of the cylinder the velocity, temperature, and concentration distributions are enhanced with the increasing curvature parameter. Moreover, it is noted that the heat transportation enhances for higher trend in thermophoresis and Brownian motion parameters. Some new and old results are compared in an excellent way.

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