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...

The steady flow of a third grade fluid past a horizontal porous plate with partial slip is investigated. The arising non-linear problem is solved numerically using a finite element method. The results of no-slip and slip conditions are presented graphically and the effects of fluid parameters, suction velocity and slip parameter have been discussed. Comparison of the present analysis is made wi...

In this paper, we modify the thermodynamically compatible third-grade fluid model by introducing a shear-rateand volume-fraction-dependent viscosity into the equation. With this new model, it is possible to predict not only the normal stress differences, but also the variable viscosity observed in many suspensions.We study the Couette–Poiseuille flow of such a fluid between two horizontal flat ...

Gilbert G.G. Donders Department of Gynecology and Obstetrics, Katao/ieke Universteit Leuven, Belgium aginal bacterial flora can be studied by microscopy of fresh vaginal fluid or of a fixed, stained smear. Classifying the flora by microscopy of fresh smears of vaginal fluid allows the pathplogy to be approached in a way other than by application of Nugent et al.’s criteria for Gram-stained spec...

in the open-pit mining, one of the first decisions that must be made in production planning stage, after completing the design of final pit limits, is determining of the processing plant cut-off grade. since this grade has an essential effect on operations, choosing the optimum cut-off grade is of considerable importance. different goals may be used for determining optimum cut-off grade. one of...

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 ...