Partial Differential Equations in Applied Mathematics (Sep 2024)
Featuring the stagnation point flow of Casson nanofluid with thermal radiation and swimming microorganisms over a stretching sheet: A computational modeling via analytical method
Abstract
Here, the investigation examines the flow of a nanomaterial toward stagnation point past stretching sheet having microorganism. The thermal radiative and heat generation have been accounted as well as convective boundary conditions. The influence of thermophoretic and Brownian movment has been considered. It has been proposed that the suitable transformation be utilized in order to convert the system of PDEs into ODEs. The analytical solutions are created through the Homotopy Analysis Method (HAM). The physical parameters with modelled equations have been graphically explained with related physical results. The numeric magnitude of drag friction, heat, mass transport and motile microorganism dendity were also computed and described for numerous emerging parameters. The result shows that the flow decreases with the rinsing value of Casson parameter. The impact of enhancing fluid parameters is too depressed the momentum and thermal boundary layer. The augment in the radiation boost the thermal layer whereas an enlargement in the input of the Lb tends to depreciation the motile density. Validation of the work is existed by validating the current outcomes with previous publishing results. The existing and potential applications of bioconvection have generated a new fascination in the theoretical investigation of the synthesis and process control in biofuel cells and bioreactors.