Helical flows of a heated generalized Oldroyd-B fluid subject to a time-dependent shear stress in porous medium

This paper presents an analysis for helical flows of a heated generalized Oldroyd-B fluid subject to a time-dependent shear stress in porous medium, where the motion is due to the longitudinal time-dependent shear stress and the oscillating velocity in boundary. The exact solutions are established by using the sequential fractional derivatives Laplace transform coupled with finite Hankel transforms in terms of generalized G function. Moreover, the effects of various parameters (relaxation time, fractional parameter, permeability and porosity) on the flow and heat transfer are analyzed in detail by graphical illustrations.

► Helical flow of generalized Oldroyd-B fluid subject to time dependent shear stress is studied. ► Modified Darcy’s law in porous medium and the oscillating velocity boundary is considered. ► Exact solution is obtained using Laplace transform coupled Hankel transforms and G function. ► The effects of parameters on the velocity and temperature fields are analyzed and discussed.