Problem 2 - Mass balance in a control volume You are working on dimensioning the diameter of pipes that will carry steadily 10 kg/s of steam at 0.5 MPa and 360°C to a flow splitter in which the split volume flow rates will be equal, see the figure below. Exit pressure and temperature for the split flows are 480 kPa at 320°C, respectively. For design considerations the velocity of the steam entering the main pipe in the pipe cannot exceed 30 m/s. Starting with the general form of the mass and energy conservation equations in literal form, please answer the following: Compute the internal diameter for section 1, in mm. Use three significant figures in your answer. Calculate the volume flow rates on each branch of the splitter, in m³/s. Use three significant figures in your answer. If the velocity at the exit of the splitters cannot be less than 25 m/s, what is the minimum internal diameter would you recommend using? Express your answer in mm. Assume that the pipe is not perfectly insulated, compute the rate of heat transfer to the surroundings for the conditions given in this problem, in kJ/s.
Problem 2 - Mass balance in a control volume You are working on dimensioning the diameter of pipes that will carry steadily 10 kg/s of steam at 0.5 MPa and 360°C to a flow splitter in which the split volume flow rates will be equal, see the figure below. Exit pressure and temperature for the split flows are 480 kPa at 320°C, respectively. For design considerations the velocity of the steam entering the main pipe in the pipe cannot exceed 30 m/s. Starting with the general form of the mass and energy conservation equations in literal form, please answer the following: Compute the internal diameter for section 1, in mm. Use three significant figures in your answer. Calculate the volume flow rates on each branch of the splitter, in m³/s. Use three significant figures in your answer. If the velocity at the exit of the splitters cannot be less than 25 m/s, what is the minimum internal diameter would you recommend using? Express your answer in mm. Assume that the pipe is not perfectly insulated, compute the rate of heat transfer to the surroundings for the conditions given in this problem, in kJ/s.
Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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
Transcribed Image Text:Problem 2 - Mass balance in a control volume
You are working on dimensioning the diameter of pipes that will carry steadily 10 kg/s of steam
at 0.5 MPa and 360°C to a flow splitter in which the split volume flow rates will be equal, see
the figure below. Exit pressure and temperature for the split flows are 480 kPa at 320°C,
respectively. For design considerations the velocity of the steam entering the main pipe in the
pipe cannot exceed 30 m/s. Starting with the general form of the mass and energy conservation
equations in literal form, please answer the following:
. Compute the internal diameter for section 1, in mm. Use three significant figures in your
answer.
Calculate the volume flow rates on each branch of the splitter, in m³/s. Use three
significant figures in your answer.
If the velocity at the exit of the splitters cannot be less than 25 m/s, what is the
minimum internal diameter would you recommend using? Express your answer in mm.
Assume that the pipe is not perfectly insulated, compute the rate of heat transfer to the
surroundings for the conditions given in this problem, in kJ/s.
Steam
mh, 10-
P₁ = 0.5 MPa
T₁ = 360°C
kg
Water vapor
P₂ P3 = 480 kPa
T₂ = T3 = 320°C
(AV)₂ = (AV),
3
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