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The two-dimensional conservation equations of mass, momentum and energy are solved numerically in order to investigate the thermo-fluid phenomena in the louvered fin array. The governing equations are expressed in the generalized coordinates to consider the complex geometry of louvered fin array. The numerical solutions give the detail distribution of velocity and temperature fields from the inlet to the outlet in the louvered fin array. The pressure drop, flow efficiency and heat transfer rate are calculated as a function of Reynolds number in order to know the optimal design condition with larger heat transfer rate under smaller pressure drop.

The fully developed turbulent momentum and heat transfer induced by three-dimensional roughness elements on the inner wall surface in a dimpled tube is studied analytically based on standard k- ε turbulence model with a Navier-Stokes equation solver. Experimental investigations are also carried out to obtain pressure drop characteristics and to verify the numerical results of the fluid flow. The calculated pressure fields exactly predict the friction factor relation obtained from experiment at high Reynolds number cases, ReD > 4,000. The complex velocity distribution taken from analysis also reasonably well agree with experiment. For the range of present Reynolds number, 2,000 < ReD < 10,000, the numerical analysis demonstrates that the heat transfer enhancement decreases with increasing Reynolds number.