A liquid food flows in the inner pipe (internal diameter-8 cm) of a double-pipe heat exchanger. The liquid food (p=1200 kg/m and C,-4 kJ/kgK) flows at 0.055 m/min and enters the heat exchanger at 6°C and exits at 38°C. In the annular section, water at 96°C enters the heat exchanger and flows countercurrently at an average flow rate of 1 kg/s (average Cp= 4.18 kJ/kgK). a) Sketch a graph showing the temperature profile of the heating water and quid food through the heat exchanger. Clearly label the two streams and draw arrows to indicate the flow directions of liquid food and water. i) ii) Calculate the mass flow rate (kg/s) of the liquid food. ii) Me sure the temperature (°C) of the exiting water stream. iv) Calculate the log-mean temperature difference for this system. Estimate the length (m) of this pipe heat exchanger that needs to be constructed in order to achieve an overall heat transfer coefficient of 2.5 W/m2K.
A liquid food flows in the inner pipe (internal diameter-8 cm) of a double-pipe heat exchanger. The liquid food (p=1200 kg/m and C,-4 kJ/kgK) flows at 0.055 m/min and enters the heat exchanger at 6°C and exits at 38°C. In the annular section, water at 96°C enters the heat exchanger and flows countercurrently at an average flow rate of 1 kg/s (average Cp= 4.18 kJ/kgK). a) Sketch a graph showing the temperature profile of the heating water and quid food through the heat exchanger. Clearly label the two streams and draw arrows to indicate the flow directions of liquid food and water. i) ii) Calculate the mass flow rate (kg/s) of the liquid food. ii) Me sure the temperature (°C) of the exiting water stream. iv) Calculate the log-mean temperature difference for this system. Estimate the length (m) of this pipe heat exchanger that needs to be constructed in order to achieve an overall heat transfer coefficient of 2.5 W/m2K.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.46P
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Transcribed Image Text:A liquid food flows in the inner pipe (internal diameter-8 cm) of a double-pipe heat
exchanger. The liquid food (p=1200 kg/m and C,-4 kJ/kgK) flows at 0.055 m/min and
enters the heat exchanger at 6°C and exits at 38°C. In the annular section, water at
96°C enters the heat exchanger and flows countercurrently at an average flow rate of 1
kg/s (average Cp= 4.18 kJ/kgK).
a)
Sketch a graph showing the temperature profile of the heating water and quid
food through the heat exchanger. Clearly label the two streams and draw arrows
to indicate the flow directions of liquid food and water.
i)
ii)
Calculate the mass flow rate (kg/s) of the liquid food.
ii)
Me
sure the temperature (°C) of the exiting water stream.
iv)
Calculate the log-mean temperature difference for this system.
Estimate the length (m) of this pipe heat exchanger that needs to be constructed
in order to achieve an overall heat transfer coefficient of 2.5 W/m2K.
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