HW6BWR - Operating parameters for a representative BWR...

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Operating parameters for a representative BWR design is given below. For the BWR average channel compute and plot the mixture and phase velocity distributions. Determine the individual components of and the total pressure drop. Compare the results obtained using both equilibrium and non equilibrium models. You may assume the saturation properties are constant along the length of the channel and may be evaluated at the system pressure. BOILING WATER REACTOR PARAMETERS Core Averaged Heat Flux 144,032 Btu/hr-ft 2 Pressure 1000 psia Coolant Mass Flux 1.42 x 10 6 lbm/hr-ft 2 Core Inlet Temperature 532 F Rod Pitch 0.640 inches Rod Diameter 0.493 inches Fuel rods per bundle 64 Bundle Dimensions (canned) 5.278 x 5.278 inches Upper and Lower Tie Plate Loss Coefficient 3.5 Number of grids 7 Grid Loss Coefficient 0.5 Fuel Height 146 inches Axial Peak to Average Ratio 1.4 The axial heat flux may be taken to be ′′ + + qz q Hz H H ee () = (- ) ) 0 πλπλ sin You may assume the two-phase friction multiplier is given by the expression 75 . 1 2 2 ) 1 ( 1 20 1 x o + + = χ φ A where is the turbulent Martinelli parameter and given by μ ρ 2 02 18 1 = f g g f x x . . and that the Homogeneous Multiplier derived in class is valid for the local losses.
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SOLUTION Heat Flux Profile The heat flux profile is given as ′′ + + qz q Hz H H ee () = (- ) ) 0 πλπλ sin The average channel is defined such that = H ave dz z q H q 0 ) ( 1 For the heat flux profile given here + + + + = e e e e e e ave H H H H H H H H H H q q ) ( sin sin ) ( cos ) ( cos 0 λ π πλ which for 032 , 144 = ave q may be solved directly for 0 q giving 5 0 10 108 . 1 × = q Btu/hr-ft 2 . Enthalpy Distributions The enthalpy distribution is given by the simple energy balance hz h m qz D d z z ± =+ 0 1 0 where the mass flow rate is given by x GA m = ± and 4 / 2 2 D S A x = .
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HW6BWR - Operating parameters for a representative BWR...

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