Problems 1. In a vertical annular flow pattern the thickness of the liquid film on the tube wall is §. The tube diameter is D. If 8 << D what is the value of the void fraction, a? Answer: (1-x) = 48 D 2. Derive an expression for ẞ, the volumetric quality, in terms of the mass quality, x, and the specific volumes of the phases. Answer: B = 1 1+ [(1-x)v/xv,] 3. Derive an expression for the ratio u/u, (the slip ratio) in terms of a and ẞ only. Answer: ur = (1 + 1 ) (1-") 4. Derive an expression for j in terms of the inlet velocity to an evaporating tube, u., the mass quality, x, and the phase specific volumes, v, and v. Answer: jufo = ~ [+(-1)] 5. Using Fig. 1.5 evaluate the most likely flow pattern occurring in a 2.54 cm i.d. vertical boiler tube when the system pressure is 30 bar, 70 bar, and 170 bar, the mass quality, x, is 1 per cent, 10 per cent, and 50 per cent, and the mass velocity, G, is 500 kg/m² s and 2000 kg/m² s respectively. annular flow pattern boundary as
Problems 1. In a vertical annular flow pattern the thickness of the liquid film on the tube wall is §. The tube diameter is D. If 8 << D what is the value of the void fraction, a? Answer: (1-x) = 48 D 2. Derive an expression for ẞ, the volumetric quality, in terms of the mass quality, x, and the specific volumes of the phases. Answer: B = 1 1+ [(1-x)v/xv,] 3. Derive an expression for the ratio u/u, (the slip ratio) in terms of a and ẞ only. Answer: ur = (1 + 1 ) (1-") 4. Derive an expression for j in terms of the inlet velocity to an evaporating tube, u., the mass quality, x, and the phase specific volumes, v, and v. Answer: jufo = ~ [+(-1)] 5. Using Fig. 1.5 evaluate the most likely flow pattern occurring in a 2.54 cm i.d. vertical boiler tube when the system pressure is 30 bar, 70 bar, and 170 bar, the mass quality, x, is 1 per cent, 10 per cent, and 50 per cent, and the mass velocity, G, is 500 kg/m² s and 2000 kg/m² s respectively. annular flow pattern boundary as
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
![Problems
1. In a vertical annular flow pattern the thickness of the liquid film on the tube
wall is §. The tube diameter is D. If 8 << D what is the value of the void fraction,
a?
Answer: (1-x) =
48
D
2. Derive an expression for ẞ, the volumetric quality, in terms of the mass
quality, x, and the specific volumes of the phases.
Answer: B =
1
1+ [(1-x)v/xv,]
3. Derive an expression for the ratio u/u, (the slip ratio) in terms of a and
ẞ only.
Answer:
ur
= (1 + 1 ) (1-")
4. Derive an expression for j in terms of the inlet velocity to an evaporating
tube, u., the mass quality, x, and the phase specific volumes, v, and v.
Answer: jufo
=
~ [+(-1)]
5. Using Fig. 1.5 evaluate the most likely flow pattern occurring in a 2.54 cm
i.d. vertical boiler tube when the system pressure is 30 bar, 70 bar, and 170 bar,
the mass quality, x, is 1 per cent, 10 per cent, and 50 per cent, and the mass
velocity, G, is 500 kg/m² s and 2000 kg/m² s respectively.
annular flow pattern boundary as](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d518b51-d7e4-46cc-94ae-dd2378b76e57%2Fb4135f7d-4df6-45d6-b4e1-09541a9edd7e%2Fh4vquf5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problems
1. In a vertical annular flow pattern the thickness of the liquid film on the tube
wall is §. The tube diameter is D. If 8 << D what is the value of the void fraction,
a?
Answer: (1-x) =
48
D
2. Derive an expression for ẞ, the volumetric quality, in terms of the mass
quality, x, and the specific volumes of the phases.
Answer: B =
1
1+ [(1-x)v/xv,]
3. Derive an expression for the ratio u/u, (the slip ratio) in terms of a and
ẞ only.
Answer:
ur
= (1 + 1 ) (1-")
4. Derive an expression for j in terms of the inlet velocity to an evaporating
tube, u., the mass quality, x, and the phase specific volumes, v, and v.
Answer: jufo
=
~ [+(-1)]
5. Using Fig. 1.5 evaluate the most likely flow pattern occurring in a 2.54 cm
i.d. vertical boiler tube when the system pressure is 30 bar, 70 bar, and 170 bar,
the mass quality, x, is 1 per cent, 10 per cent, and 50 per cent, and the mass
velocity, G, is 500 kg/m² s and 2000 kg/m² s respectively.
annular flow pattern boundary as
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