The computation of two-dimensional viscous flow through a T-junction

1972 ◽  
Vol 4 (1) ◽  
pp. 64-72
Author(s):  
R.M. Blowers
Keyword(s):  
Viscous Flow ◽  
Two Dimensional ◽  
Flow Through

An Asymptotic Model of Viscous Flow Limitation in a Highly Collapsed Channel

1998 ◽  
Vol 120 (4) ◽  
pp. 544-546 ◽  
Author(s):  
O. E. Jensen
Keyword(s):  
Pressure Drop ◽  
Viscous Flow ◽  
External Pressure ◽  
Asymptotic Model ◽  
Flow Limitation ◽  
Two Dimensional ◽  
Inertial Effects ◽  
Channel One ◽  
Narrow Region ◽  
Flow Through

A viscous flow through a long two-dimensional channel, one wall of which is formed by a finite-length membrane, experiences flow limitation when the channel is highly collapsed over a narrow region under high external pressure. Simple approximate relations between flow rate and pressure drop are obtained for this configuration by the use of matched asymptotic expansions. Weak inertial effects are also considered.

Oscillatory flow through constricted or dilated channels and axisymmetric pipes

1978 ◽  
Vol 363 (1714) ◽  
pp. 335-355 ◽  
Keyword(s):  
Reynolds Number ◽  
Pressure Gradient ◽  
Viscous Flow ◽  
Oscillatory Flow ◽  
Equation Of Motion ◽  
Two Dimensional ◽  
Small Perturbations ◽  
Flow Through ◽  
Parallel Case ◽  
General Method

Two types of oscillatory viscous flow are considered: the first inside a two-dimensional channel, the second inside an axisymmetric pipe. The walls of the channel or pipe are taken to be small perturbations of the straight and parallel case, these distortions being much smaller than the width of the channel or pipe, so that the equation of motion may be linearized to give an Orr–Sommerfield type of equation. It is assumed that the width of the channel or pipe is comparable with the Stokes layer thickness. For sinusoidal perturbations of the wall, the asymptotic solutions for the parameter (Reynolds number times wavenumber) being very small or very large are considered. The general method may also be applied numerically to obtain solutions for non-periodic dilations or constrictions at arbitrary Reynolds number, and as an illustration the distributions of shear and pressure gradient are given for a number of examples.

On the modeling of non-Newtonian purely viscous flow through high porosity synthetic foams

2005 ◽  
Vol 60 (10) ◽  
pp. 2815-2819 ◽  
Author(s):  
G.J.F. Smit ◽  
J.P. du Plessis ◽  
J.M. Wilms
Keyword(s):  
Viscous Flow ◽  
High Porosity ◽  
Flow Through

Two-Dimensional Flow With Standing Vortexes in Ducts and Diffusers

1960 ◽  
Vol 82 (4) ◽  
pp. 921-927 ◽  
Author(s):  
Friedrich O. Ringleb
Keyword(s):  
Wind Tunnel ◽  
Potential Flow ◽  
Separation Control ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Princeton University ◽  
Two Dimensional Flow ◽  
Flow Through ◽  
Trapping Devices

The conditions for the equilibrium of two vortexes in a two-dimensional flow through a duct or diffuser are derived. Potential-flow considerations and a few basic results from viscous-flow theory are used for the discussion of the role of cusps as separation control and trapping devices for standing vortexes. The investigations are applied to cusp diffusers especially with regard to the wind tunnel of the James Forrestal Research Center of Princeton University.

Bifurcation analysis of two-dimensional laminar flow through sudden expansion channel

2022 ◽  
Vol 13 (1) ◽  
pp. 0-0
Keyword(s):  
Laminar Flow ◽  
Expansion Ratio ◽  
Sudden Expansion ◽  
Two Dimensional ◽  
Governing Equations ◽  
Bifurcation Phenomena ◽  
Different Types ◽  
Fluent Software ◽  
Flow Through ◽  
Volume Method

In this work, bifurcation characteristics of unsteady, viscous, Newtonian laminar flow in two-dimensional sudden expansion and sudden contraction-expansion channels have been studied for different values of expansion ratio. The governing equations have been solved using finite volume method and FLUENT software has been employed to visualize the simulation results. Three different mesh studies have been performed to calculate critical Reynolds number (Recr) for different types of bifurcation phenomena. It is found that Recr decreases with the increase in expansion ratio (ER).

Sign in / Sign up

Export Citation Format

Share Document