Question 3 - Section B: A counter-flow, shell and tube heat exchanger is installed for heating cold water using a hot oil. The water flows in the thin-walled inner tubes (a bundle of tubes) while the oil flows in the shell. Water enters the inner tubes at 22 °C and leaves the tubes at 45 °C, while the oil enters the shell at 85 °C and leaves the shell at 52 °C. The bundle of tubes has a total effective length of 28 m and the inner diameter of each thin cylindrical tube is 40 mm. The specific heat capacity of the oil is 2.58 kJ/kgK and the specific heat capacity of water is 4.2 kJ/kgK. Mass flow rate of the oil is 1.6 kg/s. Assume that there is no fouling and that the heat transfer in the heat exchanger from the hot fluid to the cold fluid is 100% effective. Determine: (iv) Logarithmic Mean Temperature Difference for this heat exchanger. (v) mass flow rate of the water in the bundle of tubes. (vi) the overall heat transfer co-efficient (U-value) of the heat exchanger to achieve the specified temperature differences. (Use the Logarithmic Mean Temperature Difference - LMTD- method).
Question 3 - Section B: A counter-flow, shell and tube heat exchanger is installed for heating cold water using a hot oil. The water flows in the thin-walled inner tubes (a bundle of tubes) while the oil flows in the shell. Water enters the inner tubes at 22 °C and leaves the tubes at 45 °C, while the oil enters the shell at 85 °C and leaves the shell at 52 °C. The bundle of tubes has a total effective length of 28 m and the inner diameter of each thin cylindrical tube is 40 mm. The specific heat capacity of the oil is 2.58 kJ/kgK and the specific heat capacity of water is 4.2 kJ/kgK. Mass flow rate of the oil is 1.6 kg/s. Assume that there is no fouling and that the heat transfer in the heat exchanger from the hot fluid to the cold fluid is 100% effective. Determine: (iv) Logarithmic Mean Temperature Difference for this heat exchanger. (v) mass flow rate of the water in the bundle of tubes. (vi) the overall heat transfer co-efficient (U-value) of the heat exchanger to achieve the specified temperature differences. (Use the Logarithmic Mean Temperature Difference - LMTD- method).
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.
Chapter10: Heat Exchangers
Section: Chapter Questions
Problem 10.36P
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![Question 3 - Section B:
A counter-flow, shell and tube heat exchanger is installed for heating cold water using a hot oil.
The water flows in the thin-walled inner tubes (a bundle of tubes) while the oil flows in the shell.
Water enters the inner tubes at 22 °C and leaves the tubes at 45 °C, while the oil enters the shell
at 85 °C and leaves the shell at 52 °C. The bundle of tubes has a total effective length of 28 m and
the inner diameter of each thin cylindrical tube is 40 mm. The specific heat capacity of the oil is
2.58 kJ/kgK and the specific heat capacity of water is 4.2 kJ/kgK. Mass flow rate of the oil is
1.6 kg/s. Assume that there is no fouling and that the heat transfer in the heat exchanger from the
hot fluid to the cold fluid is 100% effective.
Determine:
(iv) Logarithmic Mean Temperature Difference for this heat exchanger.
(v) mass flow rate of the water in the bundle of tubes.
(vi) the overall heat transfer co-efficient (U-value) of the heat exchanger to achieve the specified
temperature differences. (Use the Logarithmic Mean Temperature Difference - LMTD- method).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0731376f-0351-4835-a02a-230480f2a595%2F4937339c-1c39-4448-8120-cdb68214d975%2Faurealh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 3 - Section B:
A counter-flow, shell and tube heat exchanger is installed for heating cold water using a hot oil.
The water flows in the thin-walled inner tubes (a bundle of tubes) while the oil flows in the shell.
Water enters the inner tubes at 22 °C and leaves the tubes at 45 °C, while the oil enters the shell
at 85 °C and leaves the shell at 52 °C. The bundle of tubes has a total effective length of 28 m and
the inner diameter of each thin cylindrical tube is 40 mm. The specific heat capacity of the oil is
2.58 kJ/kgK and the specific heat capacity of water is 4.2 kJ/kgK. Mass flow rate of the oil is
1.6 kg/s. Assume that there is no fouling and that the heat transfer in the heat exchanger from the
hot fluid to the cold fluid is 100% effective.
Determine:
(iv) Logarithmic Mean Temperature Difference for this heat exchanger.
(v) mass flow rate of the water in the bundle of tubes.
(vi) the overall heat transfer co-efficient (U-value) of the heat exchanger to achieve the specified
temperature differences. (Use the Logarithmic Mean Temperature Difference - LMTD- method).
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