Fast slip flow was identified for water inside the interlayer gallery between graphene layers or carbon nanotubes. We report here that this significant flow rate enhancement (over two orders) breaks down with the presence of chemical functionalization and relaxation of nanoconfinement in graphene oxides. Molecular dynamics simulation results show that hydrodynamics applies in this circumstance,...

In this paper we use classical linear stability theory to investigate the effects of uniform internal heat generation on the onset of Marangoni convection in a horizontal layer of fluid heated from below. We use a analytical technique to obtain the close form analytical expression for the onset of Marangoni convection when the lower boundary is conducting with free-slip condition. We show that ...

An analysis is carried out to study the mixed convection partial slip flow of a Casson fluid over a vertically stretching sheet with convective boundary condition. In particular, we investigate the effects of different parameters such as magnetic, mixed convection, Casson, convective, slip, Prandtl number in the presence of joule heating. The governing partial differential equations are transfo...

This paper presents a unified theory of phoretic phenomena in single-component fluids. Simple formulas are given for the phoretic velocities of small inert force-free non-Brownian particles migrating through otherwise quiescent single-component gases and liquids and animated by a gradient in the fluid's temperature (thermophoresis), pressure (barophoresis), density (pycnophoresis), or any combi...

In this note we develop and analyze a system of equations describing a molten linear polymer being extruded in a capillary rheometer which is operating under the controlled condition that the mean velocity at the capillary inlet is maintained at a constant value. Slipping of the melt at the pipe wall is permitted and an evolution equation for the boundary slip parameter is postulated. The combi...

In this work, we study theoretically and numerically the equations of Stokes Navier-Stokes under power law slip boundary condition. We establish existence a unique solution by using monotone operators theory for whereas equations, construct means Galerkin's approximation combined with some compactness results. Next, formulate analyze finite element approximations associated to these problems. d...