HW3_SOLUTIONS

# HW3_SOLUTIONS - ENU 4134 – Homework Assignment#3...

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Unformatted text preview: ENU 4134 – Homework Assignment #3 SOLUTIONS – Fall 2011 – D. Schubring 1 Task 1. Void Fraction Correlations (16 points total) a. HEM (2 points) α HEM = 1 1 + 1- x x × ρ v ρ l (1) α HEM = 1 1 + 1- . 07 . 07 × 144 528 (2) α HEM = 0 . 216 = β (3) b. Martinelli-Nelson (2 points) Read off chart: α MN ≈ . 20 c. Armand and Treshev (2 points) α AT = Kβ (4) α AT = [0 . 833 + 0 . 05ln(10 p )] β (5) α AT = [0 . 833 + 0 . 05ln(10 × 18 . 674)] × . 216 (6) α AT = 0 . 237 (7) Remark: α AT > α HEM = β . This implies a slip ratio less than 1. This result is likely unphysical. d. Drift flux model (10 points), solving with each of the below sets of assumptions. Comment on the variability in { α } you predict and how important flow regime is in this case. (a) Take C as 1.2; use the “small bubbles” correlation in Table 11-2. α = 1 C 1 + 1- x x × ρ v ρ l + V vj ρ v xG (8) V vj = (1- α ) n V ∞ (9) V ∞ = g ( ρ l- ρ v ) d 2 18 μ f (10) V ∞ = 9 . 81 × (528- 144)0 . 001 2 18 × 6 . 25 × 10- 5 (11) V ∞...
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HW3_SOLUTIONS - ENU 4134 – Homework Assignment#3...

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