# Laminar Couette Flow with Imposed Pressure Gradient

In this application, AcuSolve is used to simulate the viscous flow of water between a moving and a stationary plate with an imposed pressure gradient. AcuSolve results are compared with analytical results described in White (1991). The close agreement of AcuSolve results with analytical results validates the ability of AcuSolve to model cases with imposed pressure gradients.

## Problem Description

## AcuSolve Results

## Summary

## Simulation Settings for Laminar Couette Flow with Imposed Pressure Gradient

SimLab database file: <your working directory>\couette_flow\couette_flow.slb

Global

- Problem Description
- Solution Type - Steady State
- Flow - Laminar

- Auto Solution Strategy
- Relaxation factor -
`0.2`

- Relaxation factor -
- Material Model
- Air
- Density -
`1.0`kg/m3 - Viscosity -
`1.0`kg/m-sec

- Density -

- Air
- Body Force
- DP/DL
- Gravity
- Z-component -
`18.0`m/sec2

- Z-component -

- Gravity

Model

- DP/DL
- Volumes
- Fluid
- Element set
- Material model - Air
- Body force - DP/DL

- Element set

- Fluid
- Surfaces
- Max_X
- Simple Boundary Condition
- Type - Symmetry

- Simple Boundary Condition
- Max_Y
- Simple Boundary Condition
- Type - Wall
- Wall velocity type - Cartesian
- Z-velocity -
`3.0`m/s

- Simple Boundary Condition
- Max_Z
- Simple Boundary Condition - (disabled to allow for periodic conditions to be set)

- Min_X
- Simple Boundary Condition
- Type - Symmetry

- Simple Boundary Condition
- Min_Y
- Simple Boundary Condition
- Type - Wall

- Simple Boundary Condition
- Min_Z
- Simple Boundary Condition - (disabled to allow for periodic conditions to be set)

- Max_X
- Periodics
- Periodic 1
- Periodic Boundary Conditions
- Type - Periodic

- Periodic Boundary Conditions

- Periodic 1

## References

F. M. White. “Viscous Fluid Flow”. Section 3-2.3. McGraw-Hill Book Co., Inc. New York. 1991.