Flow of a second grade fluid with fractional derivatives due to a quadratic time dependent shear stress

Exact solutions for the flow of a generalized second grade due to a Longitudinal quadratic time-dependent shear stress

exact solutions for the flow of a generalized second grade due to a longitudinal quadratic time-dependent shear stress

A Semidefinite Optimization Approach to Quadratic Fractional Optimization with a Strictly Convex Quadratic Constraint

In this paper we consider a fractional optimization problem that minimizes the ratio of two quadratic functions subject to a strictly convex quadratic constraint. First using the extension of Charnes-Cooper transformation, an equivalent homogenized quadratic reformulation of the problem is given. Then we show that under certain assumptions, it can be solved to global optimality using semidefini...

Aixsymmetric Stagnation Point Flow of a Viscous Fluid on a Moving Cylinder with Time Dependent Axial Velocity

The unsteady viscous flow in the vicinity of an axisymmetric stagnation point of an infinite moving cylinder with time-dependent axial velocity is investigated. The impinging free stream is steady with a strain rate k. An exact solution of the Navier-Stokes equations is derived in this problem. A reduction of these equations is obtained by use of appropriate transformations. The general self-si...

Peristaltic Flow of a Fractional Second Grade Fluid through a Cylindrical Tube

The investigation is to explore the transportation of a viscoelastic fluid with fractional second grade model by peristalsis through a cylindrical tube under the assumptions of long wavelength and low Reynolds number. Analytical solution of problem is obtained by using Caputo’s definition. It is assumed that the crosssection of the tube varies sinusoidally along the length of tube. The effects ...