scholarly journals Long time existence of regular solutions to Navier–Stokes equations in cylindrical domains under boundary slip conditions

2005 ◽  
Vol 169 (3) ◽  
pp. 243-285 ◽  
Author(s):  
W. M. Zajączkowski
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Boundary Slip ◽  
Regular Solutions ◽  
Navier Stokes Equations ◽  
Slip Conditions ◽  
Long Time Existence ◽  
Cylindrical Domains ◽  
Long Time ◽  
Time Existence

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.

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