Encyclopaedia Index

### TITLE : Convection in a semi-rectangular chamber

BY : Dr S V Zhubrin, CHAM Ltd

DATE : November, 2000

FOR : Demonstration case for V3.3.1

### INTRODUCTION

The natural convection around two differently heated tubes
placed in an adiabatic rectangular chamber with circular roof
is solved here by PARSOL.

The case is aimed to demonstrate the PARSOL'cut-cell' technique
for representing curvilinear shapes in a Cartesian grid.

### PHYSICAL SITUATION

The demonstration case considers the natural convection
arising in a 2D adiabatic rectangular enclosure. It is covered by
the roof of cylindrical shape. Two cylindrical tubes
are placed at the bottom part of the chamber. The have different
temperatures provoking the gravity-induced circulation in the
surrounding air.

In this case, which is actually a model of the water-supply unit,
the temperature distribution and accompanying air flow velocities
have to be calculated.

### COMPUTATIONAL DETAILS

### Conservation equations

The independent variables of the problem are the three components of
cartesian coordinate system, namely X, Y and Z.

The main dependent (solved for) variables are:

- Pressure, P1
- Two components of velocity, U1 and V1, and
- Temperature, TEM1

### Buoyancy model

The Boussinesq approximation is ised to incorporate the temperature
dependence of the density.

### THE RESULTS

The plots show the distribution of the temperature, velocities
and pressure within the chamber.

Pictures are as follows :

### THE IMPLEMENTATION

All model settings have been made in VR-Editor of PHOENICS 3.3.1

The relevant Q1 file can be inspectedby clicking
here.

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