VMFL054

VMFL054
Laminar flow in a Trapezoidal Cavity

Overview

Reference

J.H. Darr, S.P. Vanka. “Separated Flow in a Driven Trapezoidal Cavity”. Phys. Fluids A, Vol. 3, pp. 385-392, 1991.

SolverAnsys Fluent, Ansys CFX
Physics/ModelsViscous flow, driven by a moving walls
Input File
VMFL054_FLUENT.cas for Ansys Fluent
VMFL054_CFX.def for Ansys CFX
Project FilesLink to Project Files Download Page

Test Case

Laminar flow induced by the motion of the top wall of a trapezoidal cavity. The top and bottom walls move but the side walls are stationary. The height of the cavity h is 1 m. The widths of the top and bottom walls are 1 m and 2 m, respectively (Figure 133: Flow Domain).

Figure 133: Flow Domain

Flow Domain

Material PropertiesGeometry Boundary Conditions

Density = 1 kg/m3

Viscosity = 1 kg/m-s

Height of cavity = 1 m

Width of the bottom base = 2 m

Width of the top base = 1 m

Velocity of the base walls = 400 m/s

Other walls are stationary

Analysis Assumptions and Modeling Notes

The flow is steady. A pressure based solver is used. A triangular mesh of 4016 cells is used to discretize the domain.

Results Comparison for Ansys Fluent

The u-velocity profile at the vertical centerline of the cavity and the ν-velocity profile at the horizontal centerline of the cavity are compared to Darr and Vanka results. Velocity is normalized by velocity of the moving wall.

Figure 134: Normalized u-Velocity at the Horizontal Centerline of the Cavity

Normalized u-Velocity at the Horizontal Centerline of the Cavity

Figure 135: Normalized v-Velocity at the Vertical Centerline of the Cavity

Normalized v-Velocity at the Vertical Centerline of the Cavity

Results Comparison for Ansys CFX

The u-velocity profile at the vertical centerline of the cavity and the ν-velocity profile at the horizontal centerline of the cavity are compared to Darr and Vanka results. Velocity is normalized by velocity of the moving wall.

Figure 136: Normalized u-Velocity at the Horizontal Centerline of the Cavity

Normalized u-Velocity at the Horizontal Centerline of the Cavity

Figure 137: Normalized v-Velocity at the Vertical Centerline of the Cavity

Normalized v-Velocity at the Vertical Centerline of the Cavity