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In an open heart surgery, the patient's blood (hot fluid) is cooled by water (cold fluid) before the surgery. It is proposed that a concentric tube, counter flow heat exchanger of length L=1.2 m is used for this purpose, with the thin-walled inner tube having a diameter of D =100 mm. The specific heat of blood is Cph = 3500 J/kg.K. The specific heat of water is Cpc = 4180 J/kg.K. Assume that it is steady state and the outside surfaces of the heat exchanger are well-insulated. Cold water at Te with a mass flow rate me 0.167 kg/s is used to cool the blood to Th,o=22°C, when the warm blood enters the exchanger at Th, 37°C with a mass flow rate m= 0.05 kg/s. What is the temperature of the cold water at the entrance of the heat exchanger, i.e., Tel? The overall heat transfer coefficient is U = 500 W/m²K.

In an open heart surgery, the patient's blood (hot fluid) is cooled by water (cold fluid) before the surgery. It is proposed that a concentric tube, counter flow heat exchanger of length L=1.2 m is used for this purpose, with the thin-walled inner tube having a diameter of D =100 mm. The specific heat of blood is Cph = 3500 J/kg.K. The specific heat of water is Cpc = 4180 J/kg.K. Assume that it is steady state and the outside surfaces of the heat exchanger are well-insulated. Cold water at Te with a mass flow rate me 0.167 kg/s is used to cool the blood to Th,o=22°C, when the warm blood enters the exchanger at Th, 37°C with a mass flow rate m= 0.05 kg/s. What is the temperature of the cold water at the entrance of the heat exchanger, i.e., Tel? The overall heat transfer coefficient is U = 500 W/m²K.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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 10.18P
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In an open heart surgery, the patient's blood (hot fluid) is cooled by water (cold fluid) before the surgery. It is proposed that a concentric tube, counter flow heat exchanger of length L=1.2 m is used for this purpose, with the thin-walled inner tube having a diameter of D =100 mm. The specific heat of blood is Cph = 3500 J/kg.K. The specific heat of water is Cpc = 4180 J/kg.K. Assume that it is steady state and the outside surfaces of the heat exchanger are well-insulated. Cold water at Te, with a mass flow rate m= 0.167 kg/s is used to cool the blood to Th,o=22°C, when the warm blood enters the exchanger at Th, 37°C with a mass flow rate mh= 0.05 kg/s. What is the temperature of the cold water at the entrance of the heat exchanger, i.e., Tel? The overall heat transfer coefficient is U = 500 W/m²K.
Transcribed Image Text:In an open heart surgery, the patient's blood (hot fluid) is cooled by water (cold fluid) before the surgery. It is proposed that a concentric tube, counter flow heat exchanger of length L=1.2 m is used for this purpose, with the thin-walled inner tube having a diameter of D =100 mm. The specific heat of blood is Cph = 3500 J/kg.K. The specific heat of water is Cpc = 4180 J/kg.K. Assume that it is steady state and the outside surfaces of the heat exchanger are well-insulated. Cold water at Te, with a mass flow rate m= 0.167 kg/s is used to cool the blood to Th,o=22°C, when the warm blood enters the exchanger at Th, 37°C with a mass flow rate mh= 0.05 kg/s. What is the temperature of the cold water at the entrance of the heat exchanger, i.e., Tel? The overall heat transfer coefficient is U = 500 W/m²K.
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