1. A counter flow, 1-1 shell and tube heat exchanger is used to heat milk using hot water. Milk enters the heat exchanger at 4°C with a flow rate of 500 kg/h. The inlet and exit temperatures of hot water flowing at a rate of 807 kg/h are 90°C and 50°C, respectively. The heat exchange area is 9 m². The convective heat transfer coefficients on milk and hot water sides are 160 W/m²K and 1000 W/m?K, respectively. a) Assuming thermal resistance of tube wall is negligible, calculate the overall heat transfer coefficient i. before any fouling occurs ii. after fouling with a fouling factor of 0.0008 m2 K/ W occurs on the surfaces of the tubes on milk side b) Calculate the exit temperature of milk in both cases c) Does the milk temperature reaches to the desired pasteurization temperature of 72°C in both cases Data: cp, milk = 3930 J/kg K cp, water = 4180 J/kg K

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter10: Heat Exchangers
Section: Chapter Questions
Problem 10.46P
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1. A counter flow, 1-1 shell and tube heat exchanger is used to heat milk using
hot water. Milk enters the heat exchanger at 4°C with a flow rate of 500 kg/h.
The inlet and exit temperatures of hot water flowing at a rate of 807 kg/h are
90°C and 50°C, respectively. The heat exchange area is 9 m?. The convective
heat transfer coefficients on milk and hot water sides are 160 W/m²K and 1000
W/m?K, respectively.
a) Assuming thermal resistance of tube wall is negligible, calculate the overall
heat transfer coefficient
i.
before any fouling occurs
ii.
after fouling with a fouling factor of 0.0008 m² K/ W occurs on the
surfaces of the tubes on milk side
b) Calculate the exit temperature of milk in both cases
c) Does the milk temperature reaches to the desired pasteurization
temperature of 72°C in both cases
Data: cp, milk = 3930 J/kg K
cp, water = 4180 J/kg K
Transcribed Image Text:1. A counter flow, 1-1 shell and tube heat exchanger is used to heat milk using hot water. Milk enters the heat exchanger at 4°C with a flow rate of 500 kg/h. The inlet and exit temperatures of hot water flowing at a rate of 807 kg/h are 90°C and 50°C, respectively. The heat exchange area is 9 m?. The convective heat transfer coefficients on milk and hot water sides are 160 W/m²K and 1000 W/m?K, respectively. a) Assuming thermal resistance of tube wall is negligible, calculate the overall heat transfer coefficient i. before any fouling occurs ii. after fouling with a fouling factor of 0.0008 m² K/ W occurs on the surfaces of the tubes on milk side b) Calculate the exit temperature of milk in both cases c) Does the milk temperature reaches to the desired pasteurization temperature of 72°C in both cases Data: cp, milk = 3930 J/kg K cp, water = 4180 J/kg K
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