prac_quiz_solns - 22.313 THERMAL-HYDRAULICS IN NUCLEAR...

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22.313 THERMAL-HYDRAULICS IN NUCLEAR POWER TECHNOLOGY OPEN BOOK MID-TERM QUIZ (solutions) 1.5 HOURS Problem 1 (20%) – Calculation of Flow Quality from Void Fraction Measurements The information missing is the mass flux (or a superficial velocity) in the downcomer. For example, if the mass flux were known, then the following set of equations would enable calculation of the flow quality: x x 1 S 1 1 v ρ ρ + = α l (fundamental α -x-S equation) l v v S v = (definition of slip ratio) (relative velocity; note that in general in downflow) b v v v v = l v v v > l (mass flux) l l v ) 1 ( v G v v α ρ + α ρ = The unknowns are x, S, v v and v . Problem 2 (30%) – Pressure Drop in Accelerating Single-Phase Flow i) For a perfectly incompressible fluid the density ρ is constant, and so the mass and momentum equations become, respectively: 0 z G = θ ρ τ ρ = cos g A P G z z P t G w w 2 g 2 G
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prac_quiz_solns - 22.313 THERMAL-HYDRAULICS IN NUCLEAR...

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