Metachronal beating of cilia under the influence of Casson fluid and magnetic field

•Metachronal beating of cilia under the influence of Casson fluid and magnetic field is considered.•The model for cilia literature is modelled for the first time.•Exact solutions are evaluated for stream function and pressure gradient.•The important results in this study are the variation of the Hartmann number M, Casson fluid parameter ζ.•Comparative study is also made for Casson fluid with Newtonian fluid.

Metachronal beating of cilia under the influence of Casson fluid and magnetic field is considered. The model for cilia literature is modelled for the 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 results in this study are the variation of the Hartmann number M, Casson fluid parameter ζ. The velocity field increases due to the increase in Hartmann number M near the channel walls while velocity field decreases at the center of the channel. Comparative study is also made for Casson fluid with Newtonian fluid.