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Shown below is a heat exchanger used to cool down the liquid in the tube. The shell is well insulated. (2) If inner walls of the shell are system boundaries, and liquids within system boundaries (the liquid between the shell and tube and the liquid in the tube) are chosen as the system, select the correct energy balance equation.

Shown below is a heat exchanger used to cool down the liquid in the tube. The shell is well insulated. (2) If inner walls of the shell are system boundaries, and liquids within system boundaries (the liquid between the shell and tube and the liquid in the tube) are chosen as the system, select the correct energy balance equation.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.1DP
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  1. Shown below is a heat exchanger used to cool down the liquid in the tube. The shell is well insulated. 

    (2) If inner walls of the shell are system boundaries, and liquids within system boundaries (the liquid between the shell and tube and the liquid in the tube) are chosen as the system, select the correct energy balance equation._____________


     

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### Heat Exchanger System Analysis Shown below is a heat exchanger used to cool down the liquid in the tube. The shell is well insulated. **Problem Statement:** (2) If inner walls of the shell are system boundaries, and liquids within system boundaries (the liquid between the shell and tube and the liquid in the tube) are chosen as the system, select the correct energy balance equation. --- **Diagram Explanation:** - The diagram illustrates a heat exchanger with two main components: a shell and a tube. - The shell has two entry/exit points labeled 1 and 2, indicating flow directions. - The tube runs through the shell horizontally with entry/exit points labeled 3 and 4. - There's a flow into the shell at point 1 and out at point 2, while the flow into the tube is from point 3 to 4. --- **Options for Energy Balance Equation:** A. \(\dot{m}_1 h_1 + \dot{m}_3 h_3 = \dot{m}_2 h_2 + \dot{m}_4 h_4\) B. \(\dot{m}_1 h_1 + \dot{m}_3 h_3 + Q = \dot{m}_2 h_2 + \dot{m}_4 h_4\) C. \(\dot{m}_1 h_1 + \dot{m}_2 h_2 = \dot{m}_3 h_3 + \dot{m}_4 h_4\) D. \(\dot{m}_1 h_1 + \dot{m}_3 h_3 = \dot{m}_2 h_2 + \dot{m}_4 h_4 + Q\) --- **Key:** - \(\dot{m}\) = mass flow rate - \(h\) = specific enthalpy - \(Q\) = heat transfer rate This setup requires determining which equation properly balances the energy within the outlined system boundaries of the heat exchanger.
Transcribed Image Text:### Heat Exchanger System Analysis Shown below is a heat exchanger used to cool down the liquid in the tube. The shell is well insulated. **Problem Statement:** (2) If inner walls of the shell are system boundaries, and liquids within system boundaries (the liquid between the shell and tube and the liquid in the tube) are chosen as the system, select the correct energy balance equation. --- **Diagram Explanation:** - The diagram illustrates a heat exchanger with two main components: a shell and a tube. - The shell has two entry/exit points labeled 1 and 2, indicating flow directions. - The tube runs through the shell horizontally with entry/exit points labeled 3 and 4. - There's a flow into the shell at point 1 and out at point 2, while the flow into the tube is from point 3 to 4. --- **Options for Energy Balance Equation:** A. \(\dot{m}_1 h_1 + \dot{m}_3 h_3 = \dot{m}_2 h_2 + \dot{m}_4 h_4\) B. \(\dot{m}_1 h_1 + \dot{m}_3 h_3 + Q = \dot{m}_2 h_2 + \dot{m}_4 h_4\) C. \(\dot{m}_1 h_1 + \dot{m}_2 h_2 = \dot{m}_3 h_3 + \dot{m}_4 h_4\) D. \(\dot{m}_1 h_1 + \dot{m}_3 h_3 = \dot{m}_2 h_2 + \dot{m}_4 h_4 + Q\) --- **Key:** - \(\dot{m}\) = mass flow rate - \(h\) = specific enthalpy - \(Q\) = heat transfer rate This setup requires determining which equation properly balances the energy within the outlined system boundaries of the heat exchanger.
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