A recuperator is a heat exchanger positioned in the exhaust gases in order to recover the waste heat. You are asked to size a heat exchanger for this purpose. Outgoing Incoming Water Water Exhaust Gases Stack Exhaust Gases Furnace Controller Recuperator Consider a shell and tube exchanger, in a single shell, two tube pass configuration with an overall heat transfer coefficient of 300 W/m²-K. The exhaust gases, assumed to have the properties of air, enter and leave the shell at 483 K and 378 K, respectively. The water, flowing at a mass flow rate of 180 kg/min, enters and exits the tube at 303 K and 363 K, respectively. What is the heat exchanger area?

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.