Influence of magnetic field on peristaltic flow of a Casson fluid in an asymmetric channel: Application in crude oil refinement

•The influence of magnetic field on peristaltic flow of a Casson fluid model is considered.•The model for peristaltic literature is modelled first time.•The governing coupled equations are constructed under long wavelength and low Reynold's number approximation.•Exact solutions are evaluated for stream function and pressure gradient.•The velocity field increases due to increase in Hartmann number M near the channel walls while velocity field decreases at the centre of the channel.

The influence of magnetic field on peristaltic flow of a Casson fluid model is considered. The model for peristaltic literature is modelled first time. The governing coupled equations are constructed under long wavelength and low Reynold's number approximation. Exact solutions are evaluated for stream function and pressure gradient. The important findings in this study are the variation of the Hartmann number M, Casson fluid parameter ζ and amplitudes a, b, d and ϕ. The velocity field increases due to increase in Hartmann number M near the channel walls while velocity field decreases at the centre of the channel.