In a textile manufacturing plant, the waste dyeing water (cp = 4295 J/kg·K) at 75°C is to be used to preheat fresh water (cp = 4180 J/kg·K) at 15°C at the same flow rate in a double-pipe counter-flow heat exchanger. The heat transfer surface area of the heat exchanger is 1.65 m2 and the overall heat transfer coefficient is 625 W/m2·K. If the rate of heat transfer in the heat exchanger is 35 kW, determine the outlet temperature and the mass flow rate of each fluid stream.

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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Chapter7: Forced Convection Inside Tubes And Ducts
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Problem 7.46P
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In a textile manufacturing plant, the waste dyeing
water (cp = 4295 J/kg·K) at 75°C is to be used to preheat
fresh water (cp = 4180 J/kg·K) at 15°C at the same flow
rate in a double-pipe counter-flow heat exchanger. The
heat transfer surface area of the heat exchanger is 1.65 m2
and the overall heat transfer coefficient is 625 W/m2·K. If
the rate of heat transfer in the heat exchanger is 35 kW,
determine the outlet temperature and the mass flow rate of
each fluid stream.

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