A counter-flow heat exchanger has a heat transfer area of 1.5 m² and an overall heat transfer coefficient of 800 W/(m²·K). The hot fluid cools from 165 to 130 °C and the cold fluid heats from 15 to 80 °C. Find the heat transfer rate Q̇.
Heat exchangers (LMTD) worksheet with answers
A counter-flow heat exchanger has a heat transfer area of 4 m² and an overall heat transfer coefficient of 1000 W/(m²·K). The hot fluid cools from 175 to 40 °C and the cold fluid heats from 25 to 150 °C. Find the heat transfer rate Q̇.
A counter-flow heat exchanger transfers 390 kW. The hot fluid cools from 110 to 65 °C and the cold fluid heats from 30 to 60 °C. The overall heat transfer coefficient is 800 W/(m²·K). Find the heat transfer area A needed.
In a condenser, steam condenses at a constant 100 °C on the outside of the tubes. Cooling water (2 kg/s, cp = 4.18 kJ/(kg·K)) flows through the tubes and heats from 25 to 80 °C. The overall heat transfer coefficient is 1500 W/(m²·K). Find the heat transfer area A needed.
Steam condenses at a constant 100 °C on the outside of the tubes of a condenser with a heat transfer area of 1.5 m² and U = 3000 W/(m²·K). Cooling water (1.5 kg/s, cp = 4.18 kJ/(kg·K)) enters the tubes at 20 °C. Find the water outlet temperature Tc,out.
In a counter-flow double-pipe heat exchanger, hot oil (0.3 kg/s, cp = 2.1 kJ/(kg·K)) flows in the inner tube and cools from 120 to 80 °C. Water (0.3 kg/s, cp = 4.18 kJ/(kg·K)) in the annulus enters at 15 °C. The inner tube has a diameter of 40 mm, and U = 500 W/(m²·K) is based on this diameter. Find the tube length L needed.
Answer key
- 1. Q̇ = 119.1 kW
- 2. Q̇ = 78.3 kW
- 3. A = 11.59 m²
- 4. A = 7.367 m²
- 5. Tc,out = 60.97 °C
- 6. L = 5.383 m
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