Transient MHD convective flow of fractional nanofluid between vertical plates

Effects of the uniform transverse magnetic field on the transient free convective flowsof a nanofluid with generalized thermal transport between two vertical parallel plates have beenanalyzed. The fluid temperature is described by a time-fractional differential equation withCaputo derivatives. Closed form of the temperature field is obtained by using the Laplacetransform and fractional derivatives of the Wright’s functions. A semi-analytical solution for thevelocity field is obtained by using the Laplace transform coupled with the numerical algorithmsfor the inverse Laplace transform elaborated by Stehfest and Tzou. Effects of the derivativefractional order and physical parameters on the nanofluid flow and heat transfer are graphicallyinvestigated.