Cc. Hao et Jn. Chung, A DIRECT NUMERICAL-SIMULATION OF TRANSITION IN MIXED CONVECTION FLOWSBETWEEN 2 HEATED PARALLEL PLATES, INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 5(5), 1995, pp. 399-422
This paper seeks to increase our understanding on the fluid mechanics
and heat transfer in a transitional mixed convection flow between two
vertical plates. Direct numerical simulation by the spectral method, w
ith a weak formulation, is used to solve the transient 3-D Navier-Stok
es equations and energy equation. Initial disturbances consist of the
finite-amplitude 2-D Tollmien-Schlichting wave and two 3-D oblique wav
es. The transition phenomena in a mixed-convection flow can be signifi
cantly different from the isothermal flow. Disturbance competitions am
ong different modes are also found to be different from those known fo
r an isothermal flow. In a mixed-convection flow, there exist threshol
ds for the low-mode Fourier. waves. The intensified vortices are conce
ntrated left of the central surface between the two plates. Hairpin vo
rtices are formed with high Ri. Based on the flow visualization, the l
ambda vortices are found to be staggered on the surfaces parallel to t
he plates. The Ri number seems to be the main parameter governing the
transition mechanism. The Nu number is found to increase during transi
tion.