ISSN Online: 2377-424X
International Heat Transfer Conference 3
ANALYTICAL AND EXPERIMENTAL STUDY OF THE TRANSIENT LAMINAR NATURAL CONVECTION FLOWS IN PARTIALLY FILLED LIQUID CONTAINERS
Abstrakt
An analytical and experimental study is reported
of the two-dimensional transient laminar natural
convection in a partially filled liquid container.
The container walls are subjected to arbitrary
time and space dependent temperature variation.
The two-dimensional cylindrical momentum and
continuity equations are transformed to the vorticity
equation and an equation relating the stream
function and vorticity. These equations together
With the energy equation were solved numerically.
An explicit finite-difference technique is developed
for this purpose. A method of stability analysis
suitable for partial differential equations
with variable coefficients is also presented. The
calculated temperature transients and the calculated
Nusselt number are in good agreement with the
experimental results.