### Double-Pipe Heat Exchanger AnalysisA double-pipe heat exchanger is crafted using a copper inner tube, which has a thermal conductivity \( k = 380 \, \text{W/m} \cdot \text{K} \). The inner tube has an internal diameter (\( D_i \)) of 1.5 cm and an external diameter (\( D_o \)) of 2.0 cm. The outer tube has a diameter of 3.5 cm. #### Convection Heat Transfer Coefficients- Inner surface of the tube: \( h_i = 750 \, \text{W/m}^2 \cdot \text{K} \)- Outer surface of the tube: \( h_o = 1200 \, \text{W/m}^2 \cdot \text{K} \)#### Fouling Factors- Tube side: \( R_{fi} = 0.0007 \, \text{m}^2 \cdot \text{K/W} \)- Shell side: \( R_{fo} = 0.0005 \, \text{m}^2 \cdot \text{K/W} \)#### Determinations1. **Thermal Resistance per Unit Length:** Calculate the thermal resistance of the heat exchanger.2. **Overall Heat Transfer Coefficients:** Calculate the overall heat transfer coefficients \( U_i \) and \( U_o \), which are based on the inner and outer surface areas of the tube, respectively.These calculations provide insights into the efficiency and performance of the heat exchanger, which plays a crucial role in various industrial applications. Understanding these parameters ensures optimal operation and energy conservation within heat exchange systems.

The thermal conductivity of pipe is .The inner diameter of inner tube is .The outer diameter of…

A double-pipe heat exchanger is constructed of a copper (k =380 W/m*K) inner tube of internal diameter Di = 1.5 cm and external diameter Do = 2.0 cm and an outer tube of diameter 3.5 cm. The convection heat transfer coefficient is reported to be hi = 750 W/m²*K on the inner surface of the tube and ho = 1200 W/m²*K on its outer surface. For a fouling factor Rfi =0.0007 m²*K/W on the tube side and R = 0.0005 m²*K/W on the shell side, determine (a) the thermal resistance of the heat exchanger per unit length and (b) the overall heat transfer coefficients U₁ and based on the inner and outer surface areas of the tube, respectively.

A double-pipe heat exchanger is constructed of a copper (k =380 W/mK) inner tube of internal diameter Di = 1.5 cm and external diameter Do = 2.0 cm and an outer tube of diameter 3.5 cm. The convection heat transfer coefficient is reported to be hi = 750 W/m²K on the inner surface of the tube and ho = 1200 W/m²K on its outer surface. For a fouling factor Rfi =0.0007 m²K/W on the tube side and R = 0.0005 m²*K/W on the shell side, determine (a) the thermal resistance of the heat exchanger per unit length and (b) the overall heat transfer coefficients U₁ and based on the inner and outer surface areas of the tube, respectively.

Elements Of Electromagnetics

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ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Heat Exchangers

Heat exchangers are the types of equipment that are primarily employed to transfer the thermal energy from one fluid to another, provided that one of the fluids should be at a higher thermal energy content than the other fluid.

Heat Exchanger

The heat exchanger is a combination of two words ''Heat'' and ''Exchanger''. It is a mechanical device that is used to exchange heat energy between two fluids.

Question

### Double-Pipe Heat Exchanger Analysis

A double-pipe heat exchanger is crafted using a copper inner tube, which has a thermal conductivity \( k = 380 \, \text{W/m} \cdot \text{K} \). The inner tube has an internal diameter (\( D_i \)) of 1.5 cm and an external diameter (\( D_o \)) of 2.0 cm. The outer tube has a diameter of 3.5 cm.

#### Convection Heat Transfer Coefficients
- Inner surface of the tube: \( h_i = 750 \, \text{W/m}^2 \cdot \text{K} \)
- Outer surface of the tube: \( h_o = 1200 \, \text{W/m}^2 \cdot \text{K} \)

#### Fouling Factors
- Tube side: \( R_{fi} = 0.0007 \, \text{m}^2 \cdot \text{K/W} \)
- Shell side: \( R_{fo} = 0.0005 \, \text{m}^2 \cdot \text{K/W} \)

#### Determinations
1. **Thermal Resistance per Unit Length:** Calculate the thermal resistance of the heat exchanger.
2. **Overall Heat Transfer Coefficients:** Calculate the overall heat transfer coefficients \( U_i \) and \( U_o \), which are based on the inner and outer surface areas of the tube, respectively.

These calculations provide insights into the efficiency and performance of the heat exchanger, which plays a crucial role in various industrial applications. Understanding these parameters ensures optimal operation and energy conservation within heat exchange systems.

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