Breakdown of the Reynolds analogy in a stagnation region under inflow disturbances

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A systematic analysis is performed for the Reynolds analogy breakdown at stagnation-region flow and heat transfer in the presence of inflow disturbances. The Reynolds analogy breakdown between momentum and energy transfers in a stagnation region is scrutinized by varying the Reynolds number (5000 less than or equal to Re less than or equal to 20 000), the amplitude (0.00075 less than or equal to A less than or equal to 0.003) and the length scale (lambda/delta = 10.6). A spanwise sinusoidal variation is superimposed on the velocity component normal to the wall. Self-similarity solutions are obtained with trigonometric series expansions. The Reynolds analogy criterion demonstrates that the rate of change of skin friction is different from that of wall heat transfer. Different evolutions of the rates of skin friction and wall heat transfer are due to the difference between (s'v') and (v'T'). An in-depth analysis on (s'v) and (v'T') is performed by analysis using disturbance correlations based on the fluctuating velocity transport equations in vorticity form. It is found that the pressure fluctuations, the wall blocking and the Lamb vectors are responsible for the breakdown of the Reynolds analogy. A direct comparison is made between momentum and energy balances associated with the three responsible mechanisms. A common finding is that their profiles are changed significantly at a location where the evolution of the streamwise vortex is strong.
Publisher
Springer
Issue Date
2001
Language
English
Article Type
Article
Keywords

FREE-STREAM TURBULENCE; HEAT-TRANSFER; BOUNDARY-LAYERS; LAMB VECTOR; PROPERTY

Citation

THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, v.14, no.6, pp.377 - 398

ISSN
0935-4964
URI
http://hdl.handle.net/10203/13348
Appears in Collection
ME-Journal Papers(저널논문)
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