Analytic solution of fractional jeffrey fluid induced by abrupt motion of the plate

Abstract

This paper presents some new exact solutions corresponding to unsteady fractional Jeffrey fluid produced by a flat plate between two side walls perpendicular to the plate. The fractional calculus approach in the governing equations is used. The exact solutions are established by means of the Fourier sine transform and discrete Laplace transform. The series solution of velocity field and the associated shear stress in terms of Fox H-functions, satisfying all imposed initial and boundary conditions, have been obtained.

Keywords

• Fractional Jeffrey fluid
• Fractional derivatives
• Fox H-functions
• Laplace transform