An oscillation effect on MHD radiative Casson fluid flows in an asymmetric channel through group theoretical analysis

Abstract

The flow has been made by considering oscillation and radiation effects for the magnetohydrodynamic (MHD) Casson fluid model within an asymmetric wavy channel. Oscillation occurs during the flow by taking into account the pressure gradient across the ends of the channel. The governed mathematical statement is handled analytically by choosing the group theoretical method. The partial differential equations (PDEs) of the governed system are transformed into ordinary differential equations (ODEs) by calculating the symmetries. Further, the mathematical problem is concluded and the graphical results are shown for the following emerging parameters: Casson fluid parameter β, wavelength λ, oscillation parameter ω, Reynolds number Re, Hartmann number M, radiation parameter R, heat source–sink parameter Q, and Peclet number Pe. The magnitude of velocity profile f(η) increased with an increase in β, λ, Re, and K. With variations of H and ω, f(η) decreased. The temperature profile θ(η) increased when the values of Pe, Q, and R increased.