A well-insulated, thin-walled, counterflow heat exchanger is to be used to cool oil (cp = 2.20 kJ/kg.oC) from 150 to 40oC at a rate of 2 kg/s with water (cp = 4.18 kJ/kg.oC) that enters at 22oC at a rate of 1.5 kg/s. The diameter of the tube is 2.5 cm, and its length is 6 m. Determine (a) the rate of heat transfer and (b) the rate of exergy destruction in the heat exchanger. This diagram illustrates a double-pipe heat exchanger. It is designed to facilitate heat transfer between two fluids: hot oil and cold water.### Diagram Explanation:- **Hot Oil Flow:** - Enters at the top. - Initial temperature: 150°C. - Flow rate: 2 kg/s. - Moves through the inner pipe in the direction indicated by the arrows.- **Cold Water Flow:** - Enters from the left side. - Initial temperature: 22°C. - Flow rate: 1.5 kg/s. - Moves through the outer pipe in the opposite direction to the hot oil, as indicated by the arrows.### Design:The heat exchanger consists of two concentric pipes, where the hot oil flows through the inner pipe while the cold water flows through the outer pipe in a counter-flow arrangement. This configuration allows efficient transfer of heat from the hot oil to the cold water, increasing the water's temperature and decreasing the oil's temperature as they move through the exchanger.

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Answered: A well-insulated, thin-walled,…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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A well-insulated, thin-walled, counterflow heat exchanger is to be used to cool oil (cp = 2.20
kJ/kg.oC) from 150 to 40oC at a rate of 2 kg/s with water (cp = 4.18 kJ/kg.oC) that enters at 22oC
at a rate of 1.5 kg/s. The diameter of the tube is 2.5 cm, and its length is 6 m. Determine (a) the
rate of heat transfer and (b) the rate of exergy destruction in the heat exchanger.

This diagram illustrates a double-pipe heat exchanger. It is designed to facilitate heat transfer between two fluids: hot oil and cold water.

### Diagram Explanation:

- **Hot Oil Flow:**
- Enters at the top.
- Initial temperature: 150°C.
- Flow rate: 2 kg/s.
- Moves through the inner pipe in the direction indicated by the arrows.

- **Cold Water Flow:**
- Enters from the left side.
- Initial temperature: 22°C.
- Flow rate: 1.5 kg/s.
- Moves through the outer pipe in the opposite direction to the hot oil, as indicated by the arrows.

### Design:
The heat exchanger consists of two concentric pipes, where the hot oil flows through the inner pipe while the cold water flows through the outer pipe in a counter-flow arrangement. This configuration allows efficient transfer of heat from the hot oil to the cold water, increasing the water's temperature and decreasing the oil's temperature as they move through the exchanger.

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