# Turbulent Natural Convection Inside a Tall Cavity

In this application, AcuSolve is used to simulate the natural convection of a turbulent flow field within a tall rectangular cavity. AcuSolve results are compared with experimental results as described in Betts and Bokhari (2000). The close agreement of AcuSolve results with experimental results validates the ability of AcuSolve to model cases with natural convection of turbulent flow within a tall cavity.

## Problem Description

^{5}(Betts and Bokhari 2000). The flow medium is air, with a Boussinesq approximation for density, a specific heat of 1005 J/kg-K, and a viscosity of 1.781 X 10

^{-5}kg/m-s. Gravity is applied to the flow as a body force.

## AcuSolve Results

## Summary

In this application, turbulent flow developed by natural convection, at a Rayleigh number of 8.6X105, is studied within a tall cavity. The AcuSolve results compare well with the experimental data for temperature and vertical velocity along a horizontal line at a location of y/H=0.05 in the tall cavity, with the two-equation models capturing the velocity gradient with greater accuracy. A temperature difference occurs within the flow region due to the heat transfer from the vertical walls of the cavity. The hotter, less-dense air rises to the top of the cavity while the colder, denser air sinks to the bottom, giving rise to recirculation. AcuSolve demonstrates the ability to accurately predict the natural convection of turbulent flow within a tall cavity.

## Simulation Settings for Turbulent Natural Convection Inside a Tall Cavity

AcuConsole database file: <your working directory\cavity_turbulent_heat\cavity_turbulent_heat.acs

**Global**

- Problem Description
- Analysis type - Steady State
- Turbulence equation - Spalart Allmaras

- Auto Solution Strategy
- Relaxation factor -
`0.2`

- Relaxation factor -
- Material Model
- Air
- Type - Boussinesq
- Density -
`1.225`kg/m3 - Specific Heat -
`1005`J/kg-K - Viscosity -
`1.781e-5`kg/m-sec

Model

- Air
- Volumes
- Volume
- Element Set
- Material model - Air

- Element Set

- Volume
- Surfaces
- Back
- Simple Boundary Condition
- Type - Symmetry

- Simple Boundary Condition
- Bottom
**Simple Boundary Condition**- Type - Wall
- Temperature BC type - Flux
- Heat Flux -
`0.0`W/m2

- Cold
**Simple Boundary Condition**- Type - Wall
- Temperature BC type - Value
- Temperature -
`288.25`K

- Front
- Simple Boundary Condition
- Type - Symmetry

- Simple Boundary Condition
- Hot
- Simple Boundary Condition
- Type - Wall
- Temperature BC type - Value
- Temperature -
`307.85`K

- Simple Boundary Condition
- Top
- Simple Boundary Condition
- Type - Wall
- Temperature BC type - Flux
- Heat Flux -
`0.0`W/m2

- Simple Boundary Condition

- Back

## References

P.L. Betts and I.H. Bokhari. "Experiments on Turbulent Natural Convection in an Enclosed Tall Cavity". International Journal of Heat and Fluid Flow 21:675-683. 2000.