Estimate the heat transfer coefficient for liquid sodium at 540°C flowing over a 10-row staggered-tube bank of 2.5 cm-diameter tubes arranged in an equilateral- triangular array with a 1.5 pitch-to-diameter ratio. The entering velocity is 0.6 m/s, based on the area of the shell, and the tube surface temperature is 200°C. The outlet sodium temperature is 310°C.
GIVEN
FIND
Estimate the heat transfer coefficient (c h)
ASSUMPTIONS
Steady state
The correlation can be applied to a pitch-to-diameter ratio of 1.5
Tube wall temperature is uniform and constant
SKETCH
PROPERTIES AND CONSTANTS
Density (?) = 847 kg/m3
Specific heat (c)=1285 W/(kg K)
Thermal conductivity (k) = 70.1W/(m K)
Kinematic viscosity (?)= 2.92*10-7 m2/s
Prandtl number (Pr) = 0.0047
Therefore, the minimum free flow area is between adjacent tubes in a row, and the maximum air
velocity is
The Reynolds number for the tube bank is
The Reynolds number is out of the range of applicability. However, it is the only
correlation available for liquid metals in this geometry
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