Transient rotating magnetohydrodynamic electroosmotic flow using time-fractional Caputo–Fabrizio derivative

An exact solution of transient magnetohydrodynamic electroosmotic flow with time-fractional Caputo–Fabrizio derivative in a rotating frame is acquired by taking the Laplace transform into account. The fluid flow is driven by the electric field force and Lorentz forces contributed by the applied electric and magnetic fields. Variations in the velocity field are presented with different parameters. Results show that the fractional fluid flow has an oscillating phenomenon for the larger fractional parameter, but it is not obvious compared with the ordinary fluid. Additionally, the time required to attain the steady state is shorter for the larger Hartmann number, and the Ekman spiral of the flow velocity becomes prominent with the enhancement of the ratio of applied electric fields.