Hot oil (1.5 kg/s, cp = 2.3 kJ/(kg·K)) cools from 105 to 75 °C in a counter-flow exchanger. It heats 3 kg/s of water (cp = 4.18 kJ/(kg·K)) that enters at 25 °C. No heat is lost to the surroundings. Find the water outlet temperature Tc,out.
In a counter-flow heat exchanger the hot fluid cools from 130 to 30 °C while the cold fluid heats from 10 to 90 °C. Find the log-mean temperature difference ΔTlm.
In a condenser, steam condenses at a constant 105 °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 20 to 55 °C. The overall heat transfer coefficient is 2500 W/(m²·K). Find the heat transfer area A needed.
A shell-and-tube heat exchanger (one shell pass, two tube passes) must transfer 390 kW. The hot fluid cools from 125 to 105 °C and the cold fluid heats from 30 to 70 °C. The LMTD correction factor for this arrangement is F = 0.92, and U = 800 W/(m²·K). Find the heat transfer area A needed.
Hot oil (0.5 kg/s, cp = 2.5 kJ/(kg·K)) cools from 100 to 35 °C in a counter-flow exchanger. It heats 1 kg/s of water (cp = 4.18 kJ/(kg·K)) that enters at 15 °C. With U = 800 W/(m²·K), find the heat transfer area A needed.
In a counter-flow double-pipe heat exchanger, hot oil (0.2 kg/s, cp = 2.3 kJ/(kg·K)) flows in the inner tube and cools from 155 to 105 °C. Water (0.8 kg/s, cp = 4.18 kJ/(kg·K)) in the annulus enters at 15 °C. The inner tube has a diameter of 20 mm, and U = 400 W/(m²·K) is based on this diameter. Find the tube length L needed.
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