TITLE:
Some Exact Solutions of Generalized Jeffrey Fluid Using N-Transform
AUTHORS:
Amir Khan, Gul Zaman, Saeed Ahmad, M. Ikhlaq Chohan
KEYWORDS:
Generalized Jeffrey Fluid, Fractional Derivatives, Fox H-Functions, N-Transform
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.7 No.4,
November
2,
2017
ABSTRACT: In this
paper, we presents some new exact solutions corresponding to three unsteady
flow problems of a generalized Jeffrey fluid produced by a flat plate between
two side walls perpendicular to the plate. The fractional calculus approach is
used in the governing equations. The exact solutions are established by means
of the Fourier sine transform and N-transform. The series solutions of velocity
field and associated shear stress in terms of Fox H-function, satisfying all
imposed initial and boundary conditions, have been obtained. The similar
solutions for ordinary Jeffrey fluid, performing the same motion, appear as limiting
case of the solutions are also obtained. Also, the obtained results are analyzed
graphically through various pertinent parameters.