The effects of partial slip on stagnation-point flow and heat transfer due to a stretching vertical sheet is investigated. Using a similarity transformation, the governing partial differential equations are reduced into a system of nonlinear ordinary differential equations. The resulting equations are solved numerically using a shooting method. The effect of slip and buoyancy parameters on the ...

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 prove stability of Robin solid wall boundary conditions for the compressible Navier-Stokes equations. Applications include the no-slip boundary conditions with prescribed temperature or temperature gradient and the first order slip-flow boundary conditions. The formulation is uniform and the transitions between different boundary conditions are done by a change of parameters. W...

In this paper, a mathematical model is developed, taking into consideration the slip velocity at the wall of blood vessel of time-dependent Stenosis with unsteady flow through a tube in the presence of a Stenosis. Momentum integral method has been used to evaluate axial velocity and pressure gradient in time dependent Stenosis. Results have also been compared with and without the effect of slip...

Abstract

In this paper we prove stability of Robin solid wall boundary conditions for the compressible Navier-Stokes equations. Applications include the no-slip boundary conditions with prescribed temperature or temperature gradient and the first order slip-flow boundary conditions. The formulation is uniform and the transitions between different boundary conditions are done by a change of parameters. W...

Peeling of a viscoelastic adhesive from a solid substrate poses a wonderful problem of polymer flow. When the adhesive is peeled, it is also stretched in a direction normal to the substrate. The concomitant Poisson contraction creates a pressure gradient and thus induces a shear flow in the adhesive close to the delamination front. Earlier it was pointed out that the strength of viscoelastic ad...