On the Navier-Stokes equations with anisotropic wall slip conditions

2021 ◽  
pp. 1-14
Author(s):  
Christiaan Le Roux
Keyword(s):  
Stokes Equations ◽  
Wall Slip ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Slip Conditions

scholarly journals Numerical Simulation of Slip effect on Lid-Driven Cavity Flow Problem for High Reynolds Number: Vorticity – Stream Function Approach

2021 ◽  
Vol 8 (3) ◽  
pp. 418-424
Author(s):  
Syed Fazuruddin ◽  
Seelam Sreekanth ◽  
G. Sankara Sekhar Raju
Keyword(s):  
Reynolds Number ◽  
Stream Function ◽  
Stokes Equations ◽  
Cavity Flow ◽  
Partial Slip ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Driven Cavity ◽  
Slip Conditions ◽  
Driven Cavity Flow

Incompressible 2-D Navier-stokes equations for various values of Reynolds number with and without partial slip conditions are studied numerically. The Lid-Driven cavity (LDC) with uniform driven lid problem is employed with vorticity - Stream function (VSF) approach. The uniform mesh grid is used in finite difference approximation for solving the governing Navier-stokes equations and developed MATLAB code. The numerical method is validated with benchmark results. The present work is focused on the analysis of lid driven cavity flow of incompressible fluid with partial slip conditions (imposed on side walls of the cavity). The fluid flow patterns are studied with wide range of Reynolds number and slip parameters.

scholarly journals Quantifying Compressibility and Slip in Multiparticle Collision (MPC) Flow Through a Local Constriction

2021 ◽  
Author(s):  
Tahmina Akhter ◽  
Katrin Rohlf
Keyword(s):  
Stokes Equations ◽  
Equations Of Motion ◽  
Wall Slip ◽  
Reynolds Numbers ◽  
Ideal Gas ◽  
Navier Stokes ◽  
Numerical Work ◽  
Navier Stokes Equations ◽  
Flow Through ◽  
Generalized Boundary Condition

The flow of a compressible fluid with slip through a cylinder with an asymmetric local constriction has been considered both numerically, as well as analytically. For the numerical work, a particle-based method whose dynamics is governed by the multiparticle collision (MPC) rule has been used together with a generalized boundary condition that allows for slip at the wall. Since it is well known that an MPC system corresponds to an ideal gas and behaves like a compressible, viscous flow on average, an approximate analytical solution has been derived from the compressible Navier–Stokes equations of motion coupled to an ideal gas equation of state using the Karman–Pohlhausen method. The constriction is assumed to have a polynomial form, and the location of maximum constriction is varied throughout the constricted portion of the cylinder. Results for centerline densities and centerline velocities have been compared for various Reynolds numbers, Mach numbers, wall slip values and flow geometries.

scholarly journals Quantifying Compressibility and Slip in Multiparticle Collision (MPC) Flow Through a Local Constriction

2021 ◽  
Author(s):  
Tahmina Akhter ◽  
Katrin Rohlf
Keyword(s):  
Stokes Equations ◽  
Equations Of Motion ◽  
Wall Slip ◽  
Reynolds Numbers ◽  
Ideal Gas ◽  
Navier Stokes ◽  
Numerical Work ◽  
Navier Stokes Equations ◽  
Flow Through ◽  
Generalized Boundary Condition

The flow of a compressible fluid with slip through a cylinder with an asymmetric local constriction has been considered both numerically, as well as analytically. For the numerical work, a particle-based method whose dynamics is governed by the multiparticle collision (MPC) rule has been used together with a generalized boundary condition that allows for slip at the wall. Since it is well known that an MPC system corresponds to an ideal gas and behaves like a compressible, viscous flow on average, an approximate analytical solution has been derived from the compressible Navier–Stokes equations of motion coupled to an ideal gas equation of state using the Karman–Pohlhausen method. The constriction is assumed to have a polynomial form, and the location of maximum constriction is varied throughout the constricted portion of the cylinder. Results for centerline densities and centerline velocities have been compared for various Reynolds numbers, Mach numbers, wall slip values and flow geometries.

Laminar Flow Between Two Parallel Porous Walls With Variable Permeability and Wall Slip

2002 ◽  
Author(s):  
S. Krishnambal
Keyword(s):  
Exact Solutions ◽  
Stokes Equations ◽  
Flow Characteristics ◽  
Wall Slip ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
Variable Permeability ◽  
Stream Lines ◽  
Variable Suction

A class of exact solutions of two dimensional Navier-Stokes equations representing the flow between two porous parallel walls, when there exist variable suction and injection at the boundaries (with or with out slip) under the prescribed entry and outlet conditions at the ends of the channel of given length is obtained. These are exact solutions of the two dimensional Navier-Stokes equations for a suitable class of variable suction and injection prescribed at the walls. Certain interesting flow characteristics are observed, when analysed through the graphs of velocity profiles and stream lines. The change in the pattern of the stream lines corresponding to the various prescribed suction/injection velocities are observed. The convergence analysis (with slip) of the series solution is discussed with a suitable numerical example.

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