HW4_SOLUTIONS - ENU 4134 Homework Assignment #4 SOLUTIONS...

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Unformatted text preview: ENU 4134 Homework Assignment #4 SOLUTIONS Fall 2011 D. Schubring 1 ENU 4134 Homework Assignment #4 SOLUTIONS Fall 2011 Properties: P = 3 . 978 MPa (1) g = 19 . 98 kg m- 3 (2) f = 799 kg m- 3 (3) k f = 0 . 616 W m- 1 K- 1 (4) k g = 0 . 0495 W m- 1 K- 1 (5) Pr f = 0 . 859 (6) Pr g = 1 . 39 (7) h fg = 1 . 715 10 6 J kg- 1 (8) f = 1 . 087 10- 4 kg m- 1 s- 1 (9) g = 1 . 751 10- 5 kg m- 1 s- 1 (10) = 0 . 02619 N m- 1 (11) R = 461 . 5 J kg- 1 K- 1 (12) Task 1. Liquid Superheat Required for Nucleation at Elevated Pressure 5 points Calculate the relation between superheat and equilibrium bubble radius for water at 250 C (Equations 12-7 and 12-8 in T&K). Consider bubbles of 20 m radius and get concrete answers. Equation 12-7: T b- T sat = RT b T sat h fg ln 1 + 2 p l r (13) T sat = 523 K (14) T b- T sat = 461 . 5 T b 523 1 . 715 10 6 ln 1 + 2 . 02619 3 . 978 10 6 r (15) T b- T sat = 0 . 1407 T b ln 1 + 1 . 32 10- 8 r (16) = 0 . 1407 ln 1 + 1 . 32 10- 8 r (17) T b- T sat = T b (18) T b- T sat = ( T b- T sat + T sat ) (19) T b- T sat = ( T b- T sat ) + T sat (20) ( T b- T sat ) (1- ) = T sat (21) T b- T sat = T sat 1- (22) T b- T sat = 523 1- (23) Equation 12-8: T b- T sat = 2 T sat vol fg h fg r (24) ENU 4134 Homework Assignment #4 SOLUTIONS Fall 2011 D. SchubringENU 4134 Homework Assignment #4 SOLUTIONS Fall 2011 D....
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HW4_SOLUTIONS - ENU 4134 Homework Assignment #4 SOLUTIONS...

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