VMFL033

VMFL033
Viscous Heating in an Annulus

Overview

Reference R.B. Bird, W.E. Stewart, E.N. Lightfoot, Transport phenomena, John Wiley and Sons, New York, 1960

Solver Ansys Fluent

Physics/Models Viscous flow and heating driven by a moving wall

Input File

plate_polar.cas

Project Files Link to Project Files Download Page

Test Case

In this problem, we model the viscous heating and mass flow in a 2-D annulus induced by the rotation of one of the two walls (Figure 88: Geometry). This problem can be solved analytically.

Figure 88: Geometry

Material Properties	Geometry	Boundary Conditions
Density: 1 kg/m³ Specific heat: 1 J/kg-K Thermal conductivity: 1 W/m-K Viscosity: 300 kg/m-s	r₁= 1 m r₂ = 2 m	Ω₁ = 0.0 rad/s Ω₂ = 0.5 rad/s T₁ = 273 K T₂ = 274 K

Material Properties

Geometry

Boundary Conditions

Density: 1 kg/m³

Specific heat: 1 J/kg-K

Thermal conductivity: 1 W/m-K

Viscosity: 300 kg/m-s

r₁= 1 m

r₂ = 2 m

Ω₁ = 0.0 rad/s

Ω₂ = 0.5 rad/s

T₁ = 273 K

T₂ = 274 K

Analysis Assumptions and Modeling Notes

The flow is laminar and steady. Pressure based solver is used. A 2-D mesh with quadrilateral cells is used to discretize the domain.

Results Comparison for Ansys Fluent

Normalized velocity and temperature profiles are compared with the analytical solution provided by Bird et al (1960).

Figure 89: Comparison of Velocity Profile

Figure 90: Comparison of Temperature Profile