Physisorbed surfactant can change the hydrodynamic boundary condition of oil flow from “stick” to “partial slip”, provided that the shear stress on the wall exceeds a threshold level that decreases with increasing surface coverage of surfactant. To demonstrate this, Newtonian alkane fluids (octane, dodecane, tetradecane) were placed between molecularly smooth surfaces that were either wetting (...

In this paper an analysis is presented to understand the effect of non–Newtonian rheology, velocity slip at the boundary, thermal radiation, heat absorption/generation and first order chemical reaction on unsteady MHD mixed convective heat and mass transfer of Casson fluid past a wedge in the presence of a transverse magnetic field with variable electrical conductivity. The partial differential...

The motion of a spherical particle in infinite linear flow and near a plane wall, subject to the slip boundary condition on both the particle surface and the wall, is studied in the limit of zero Reynolds number. In the case of infinite flow, an exact solution is derived using the singularity representation, and analytical expressions for the force, torque, and stresslet are derived in terms of...

Abstract---The steady flow of a second order fluid through constricted tube with slip velocity at wall is modeled and analyzed theoretically. The governing equations are simplified by implying no slip in radial direction. Based on Karman Pohlhausen procedure polynomial solution for axial velocity profile is presented. Expressions for pressure gradient, shear stress, separation and reattachment ...

This paper discusses boundary conditions appropriate to a theory of single-crystal plasticity (Gurtin, 2002) that includes an accounting for the Burgers vector through energetic and dissipative dependences on the tensor G = curlH, with H the plastic part in the additive decomposition of the displacement gradient into elastic and plastic parts. This theory results in a flow rule in the form of N...

Abstract: The flow generated by a circular cylinder, performing longitudinal and torsional oscillations, in an infinite expanse of a micropolar fluid is studied under the influence of uniform transverse magnetic field. Analytical expressions for the velocity components and micro rotation components are obtained by using no slip and hyper stick conditions on the boundary of the cylinder. The eff...

We investigate a steady flow of compressible fluid with inflow boundary condition on the density and slip boundary conditions on the velocity in a square domain Q ∈ R. We show existence if a solution (v, ρ) ∈ W 2 p (Q) ×W 1 p (Q) that is a small perturbation of a constant flow (v̄ ≡ [1, 0], ρ̄ ≡ 1). We also show that this solution is unique in a class of small perturbations of the constant flow (...

In a hydrodynamic approach to thermophoretic transport in colloidal suspensions, the solute velocity u and the solvent flow v(r) are derived from Stokes' equation, with slip boundary conditions imposed by thermal Marangoni forces. The resulting fluid velocity field v(r) significantly differs from that induced by an externally driven particle. We find, in particular, that thermophoresis due to s...

This article investigates the influence of cross-diffusion on the viscous fluid flow over a porous sheet stretching exponentially by applying the convective thermal conditions. Velocity slip at the boundary is considered. The numerical solutions to the governing equations are evaluated using successive linearisation procedure and Chebyshev collocation method. It is observed from this study that...

L denotes the classical curve length, s is the arc-length parameter, and Γ : [0, L]→ Ω is a curve with non-vanishing velocity vector. κ is the curvature and α , β are two positively weighted functions computed by the optimally oriented flux filter [2]. Our first step is to cast the elastica energy (5) in the form of path length with respect to a degenerate Finsler metric. For that purpose, let ...