Exact solutions for MHD flow of generalized Oldroyd-B fluid due to an infinite accelerating plate

Accelerating Mhd Flow of a Generalized Oldroyd-b Fluid with Fractional Derivative

This paper presents an exact solution for the magnetohydrodynamic (MHD) flow of an incompressible generalized Oldroyd-B fluid due to an infinite accelerating plate. The fractional calculus approach is introduced to establish the constitutive relationship of the Oldroyd-B fluid. The solutions in terms of Fox H-function are obtained by using the Laplace transform. When 0 = N the solutions corresp...

Exact Solutions for the Flow of a Generalized Oldroyd-b Fluid Induced by a Suddenly Moved Plate between Two Side Walls Perpendicular to the Plate

functions, is presented as a sum between the Newtonian solution and the corresponding nonNewtonian contribution. The solutions corresponding to the generalized Maxwell fluids, as well as the solutions for ordinary Maxwell and Oldroyd-B fluids, performing the same motion, are obtained as limiting cases of the general solutions. In the absence of side walls, namely when the distance between walls...

Some Exact Solutions for Oldroyd-b Fluid Due to Time Dependent Prescribed Shear Stress

The velocity field and the shear stress corresponding to motion of an Oldroyd-B fluid between two infinite coaxial circular cylinders are established by means of the Hankel transforms. The flow of the fluid is produced due to the time dependent axial shear stress applied on the boundary of the inner cylinder. The exact solutions, presented under a series form, can easily be specialized to give ...

Some exact solutions for the helical flow of a generalized Oldroyd-B fluid in a circular cylinder

On the energetic balance for the flow of an Oldroyd-B fluid induced by a constantly accelerating plate

Exact and approximate expressions are established for dissipation, the power of the shear stress at the wall and the boundary layer thickness corresponding to the motion of an Oldroyd-B fluid induced by a constantly accelerating plate. The similar expressions for Maxwell, Newtonian and second grade fluids, performing the same motion, are obtained as limiting cases of our general results. The sp...