Abstract

The current article numerically investigates the time-dependent fractional non-Newtonian fluid model on a vertical plane in a Darcy medium. A generalized Scott-Bliar model with heterogeneous and homogeneous interaction is employed to control the flow and mass transfer in the boundary layer region. Chemical reactions in flow are responsible for variable concentration, which causes long-lasting chemical species to better understand the chemical process.The highly nonlinear coupled model is discretized using the finite difference method with the L 1 technique. The current analysis shows that the fractional exponent significantly affects the concentration of chemical species. It also revealed during the studies that for maximum values of K r and δ 1 the concentration of chemical species for a reduces. Currently no such result in the literary works for the non-integer fractional Casson model. This analysis is help full to understand the chemical process in fractional Casson fluid model.

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