The role of relaxation and retardation phenomenon of Oldroyd-B fluid flow through Stehfest’s and Tzou’s algorithms

Abstract Delayed response (delay of the elasticity) and time needed for initial stress can lead to relaxation retardation phenomenon; this is because consistent behavior viscoelastic fluid on thermodynamic principles. In context, aim article investigate unsteady, incompressible, Oldroyd-B under wall slip conditions know hidden aspects retardation. The motion liquid assumed over a flat vertical plate which moves through an oscillating velocity. A fractional model developed by using modern definition non-singular kernel proposed Caputo Fabrizio. We have obtained semi-analytical solution non-dimensional Laplace transformation that satisfies our imposed suitable boundary conditions. tackled inverse employing Stehfest’s Tzou’s algorithms. velocity enhanced decreasing estimations ? as well parameter, temperature also increasing considerable measure factor. effects different physical parameters are plotted Mathcad software based phenomenon fluid.