Author:
PARK JUN SANG,HYUN JAE MIN
Abstract
An analytical study is made of the transient adjustment process of an initially
stationary, stably stratified fluid in a square container. The boundary walls are
highly conducting. The overall Rayleigh number Ra is large. Flow is initiated by the
simultaneous switch-on of a temperature increase (δT) at the vertical wall and a forced
vertical throughflow (Ra−1/4δw) at the horizontal walls. The principal characteristics
are found by employing the matched asymptotic expansion method. The flow field is
divided into the inviscid interior, vertical boundary layers and horizontal boundary
layers and analyses are conducted for each region. The horizontal boundary layers
are shown to be of double-layered structure, and explicit solutions are secured for
these layers. Evolutionary patterns of velocity and temperature in the whole flow
domain are illustrated. Both opposing (δw/δT > 0) and cooperating (δw/δT < 0)
configurations are considered. The flow character in the opposing configuration
can be classified into (a) a forced-convection dominant mode (δw/δT > 1/ √2),
(b) a buoyancy-convection-dominant mode (0 < δw/δT < 1/√2), and (c) a static
mode (δw/δT ≈ 1/√2). Global evolutionary processes are depicted, and physical
rationalizations are provided.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
3 articles.
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