A counterflow, concentric tube heat exchanger is used to cool the lubricating oil for a large industrial gas turbine engine. The flow rate of cooling water through the inner tube (D; = 25 mm) is 0.2 kg/s, while the flow rate of oil through the outer annulus (D, = 45 mm) is 0.1 kg/s. The oil and water enter at temperatures of 100 and 30°C, respectively. How long must the tube be made if the outlet temperature of the oil is to be 60°C?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.14P
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Question # 2
A counterflow, concentric tube heat exchanger is used to cool the lubricating oil for
a large industrial gas turbine engine. The flow rate of cooling water through the
inner tube (D, = 25 mm) is 0.2 kg/s, while the flow rate of oil through the outer
annulus (D, = 45 mm) is 0.1 kg/s. The oil and water enter at temperatures of 100
and 30°C, respectively. How long must the tube be made if the outlet temperature
of the oil is to be 60°C?
Given h; =2250 W/m² . K, h,=38.8 W/m² . K, C,(oil)=2131 J/kg.K, and C,(Water)=4178 J/kg.K
Hint:
Th= 100°C
in, = 0.1 kg/s
Oil
D, =
D,=
Tro= 60°C
25 mm 45 mm
in̟ = 0.2 kg/s
Water
Te = 30°C
(x),I
Transcribed Image Text:Question # 2 A counterflow, concentric tube heat exchanger is used to cool the lubricating oil for a large industrial gas turbine engine. The flow rate of cooling water through the inner tube (D, = 25 mm) is 0.2 kg/s, while the flow rate of oil through the outer annulus (D, = 45 mm) is 0.1 kg/s. The oil and water enter at temperatures of 100 and 30°C, respectively. How long must the tube be made if the outlet temperature of the oil is to be 60°C? Given h; =2250 W/m² . K, h,=38.8 W/m² . K, C,(oil)=2131 J/kg.K, and C,(Water)=4178 J/kg.K Hint: Th= 100°C in, = 0.1 kg/s Oil D, = D,= Tro= 60°C 25 mm 45 mm in̟ = 0.2 kg/s Water Te = 30°C (x),I
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