Abstract In this paper, an exact analytical solution for the motion of fractionalized second grade fluid flows moving over accelerating plate under influence slip has been obtained. A coupled system partial differential equations representing equation re-written in terms fractional derivatives form by using Caputo operator. The Discrete Laplace transform method employed computing expressions ve...

In this article, we consider 2D second grade fluid equations in exterior domain with Dirichlet boundary conditions. For initial data $\boldsymbol{u}_0 \in \boldsymbol{H}^3(\Omega)$, the system is shown to be global well-posed. Furthermore, for arbitrary $T > 0$ and $s \geq 3$, prove that solution belongs $L^\infty([0, T]; \boldsymbol{H}^s(\Omega))$ provided $\boldsymbol{u}_0$ $\boldsymbol{H}^s(...

The objective of this paper is to analyze the influence thermo-diffusion on magnetohydrodynamics (MHD) flow fractional second grade fluid immersed in a porous media over an exponentially accelerated vertical plate. In addition, other factors such as heat absorption and chemical reaction are used problem. More exactly, model has been developed using generalized Fick’s Fourier’s laws. Caputo-Fabr...

A strengthened and generalized version of the standard Virtual Work Principle is shown to imply, in addition to bulk and boundary balances, a oneto-one correspondence between surface and edge hypertractions and hyperstrestress fields in second-grade continua. When edge hypertractions are constitutively taken null, the hyperstress is shown to take the form it has for a Navier-Stokes−α fluid, a r...

The magnetohydrodynamic MHD and rotating flow of second-grade fluid over a suddenly moved flat plate is investigated, where the second-grade fluid saturates the porous medium. The new exact solution is derived by using the Fourier sine and Laplace transforms. Many interesting available results in the literature are obtained as limiting cases of our solution. Finally, some graphical results are ...

eunsteady slip-flow of second grade non-newtonian electrically conducting fluid over an oscillating sheet has been considered and solved numerically. a second-order slip velocity model is used to predict the flow characteristic over the wall. with the assumption of infinite length in the x-direction, the velocity of the fluid can be assumed as a function of y and t, hence, with proper change va...