We develop a theory for stick-slip motion in ultrathin liquid films confined between two moving atomically flat surfaces. Our model is based on the hydrodynamic equation for flow coupled to the dynamic order parameter field describing the ‘‘shear melting and freezing’’ of the confined fluid. This model successfully accounts for the observed phenomenology of friction in ultrathin films, includin...

We consider slip with friction and penetration with resistance boundary conditions in the steady state Navier– Stokes equations. This paper describes some aspects of the implementation of these boundary conditions for /nite element discretizations. Numerical tests on twoand three-dimensional channel 2ows across a step using the slip with friction boundary condition study the in2uence of the fri...

In this paper lattice-Boltzmann equation method is used to simulate non-Darcy flow in porous media. 2-D in-line and staggered arrangements of uniform cylinders have been considered. The results of a comprehensive computational evaluation are reported: the range of validity of Darcy-Forchheimer equation is investigated and correlations for macroscopic transport properties are presented (i. e., f...

In this paper, we analyze the thermal radiation and chemical reaction impacts on MHD peristaltic motion of the Eyring-Powell fluid through a porous medium in a channel with compliant walls under slip conditions for velocity, temperature, and concentration. Assumptions of a long wave length and low Reynolds number are considered. The modeled equations are computed by using the perturbation metho...

This Communication deals with the blood flow of Prandtl fluid through a tapered stenosed arteries having permeable walls. The governing equations of two-dimensional Prandtl fluid model are modelled in cylindrical coordinates. The highly nonlinear equations are simplified with the help of non-dimensional variables under the assumption of mild stenosis. The solution of reduced nonlinear equation ...

In this study, an analysis has been performed to study the problem of fully developed flow of a fourth grade nonNewtonian fluid between two stationary parallel plates in the presence of an externally applied uniform vertical magnetic field. Slip conditions is taken into account at the wall of the channel. Employing the similarity variables, the governing partial differential equations including...

MHD slip flow and convective heat transfer of nanofluids over a vertical stretching surface subjected to injection has been analyzed. Two types of nanofluids such as Copper-Water nanofluid and Alumina-Water nanofluid are considered for the present study. The Boundary layer equations of motion and energy which are non-linear partial differential equations are reduced to non-linear ordinary diffe...

We examine the effect of magnetic field on boundary layer flow of an incompressible electrically conducting water-based nanofluids past a convectively heated vertical porous plate with Navier slip boundary condition. A suitable similarity transformation is employed to reduce the governing partial differential equations into nonlinear ordinary differential equations, which are solved numerically...

Two-dimensional, numerical models of a linear fault embedded within a linear elastic medium show the generation of off-fault tensile failure that results from inelastic slip along the fault. We explore quasistatic models with slip-weakening friction to assess the effects of spatially and temporally variable friction on the damage patterns. Tensile fractures form where tangential normal stresses...

The various industrial and engineering applications of flow of fluid between parallel plates have continued to generate renewed interests. In this work, a comparative study of approximate analytical methods is carried out using differential transformation,homotopy perturbation, Adomian decomposition, variation of parameter and variational iteration methods for the analysis of a steady two-dimen...