HW2Problem3

# HW2Problem3 - A uniformly heated rod bundle has operating...

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Critical Heat Flux 23 1 A uniformly heated rod bundle has operating characteristics given below. The critical heat flux mechanism is dryout, and can be correlated by the Hench-Levy correlation as ′′ = q x x x G x x x x G x x c c c c c c c c c c 10 1 19 33 0 7 3 10 0 6 0 7 0 09 2 10 6 1 2 6 1 2 2 6 2 . ( ) . . . tanh ( / ) ( ) ( ) . . . tanh ( / ) ( ) where: ( ) . . tanh ( / ) ( ) . . tanh ( / ) . tanh ( / ) x G x G G c c 1 2 6 2 2 6 2 6 0 273 0 212 3 10 05 0 269 3 10 0 0346 2 10 = = + Assuming a minimum Critical Heat Flux Ratio of 1.0, determine the maximum heat flux the channel can safely operate. Problem Data Channel Mass Flux 1.33 x 10 6 lbm/hr-ft 2 Rod Pitch 0.640 inches Rod Diameter 0.493 inches Channel Pressure 1000 psia Channel Height 146 inches Inlet Temperature 532 F SOLUTION The critical heat flux decreases monotonically with quality and therefore position up the channel. For a uniformly heated channel, the minimum critical heat flux ratio will then occur at the channel exit. The critical quality is given by fg f crit crit h h h x = where m

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