Geothermal water (cp = 4250 J/kg·K) at 75°C is to be used to heat fresh water (cp = 4180 J/kg·K) at 17°C at a rate of 1.2 kg/s in a double-pipe counter-flow heat exchanger. The heat transfer surface area is 25 m2, the overall heat transfer coefficient is 480 W/m2·K, and the mass flow rate of geothermal water is larger than that of fresh water. If the effectiveness of the heat exchanger is desired to be 0.823, determine the mass flow rate of geothermal water and the outlet temperatures of both fluids.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Geothermal water (cp = 4250 J/kg·K) at 75°C is to
be used to heat fresh water (cp = 4180 J/kg·K) at 17°C at a
rate of 1.2 kg/s in a double-pipe counter-flow heat exchanger.
The heat transfer surface area is 25 m2, the overall heat transfer
coefficient is 480 W/m2·K, and the mass flow rate of geothermal
water is larger than that of fresh water. If the effectiveness
of the heat exchanger is desired to be 0.823, determine the mass
flow rate of geothermal water and the outlet temperatures of
both fluids.

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