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When is a heat exchanger classified as being compact? Do you think a double- pipe heat exchanger can be classified as a compact heat exchanger?

Short Answer

Expert verified
Why or why not? Answer: No, a double-pipe heat exchanger generally does not meet the criteria for being classified as a compact heat exchanger. This is because compact heat exchangers have a large heat transfer surface area per unit volume (typically greater than 700 m^2/m^3), while double-pipe heat exchangers have a low surface area per unit volume due to their relatively simple concentric tube geometry. Compact heat exchangers usually have more complex geometries and deliver higher heat transfer rates within a small volume, whereas double-pipe heat exchangers are more suitable for smaller applications with relatively low heat transfer surface area requirements.

Step by step solution

01

Understand the concept of a compact heat exchanger

A compact heat exchanger is one in which the heat transfer surface area per unit volume is large, typically greater than 700 m^2/m^3. A heat exchanger is considered compact to improve its effectiveness and efficiency by accommodating a large heat transfer surface within a small volume, resulting in higher heat transfer rates.
02

Learn about double-pipe heat exchangers

A double-pipe heat exchanger, also known as a hairpin or concentric tube heat exchanger, consists of two concentric tubes or pipes. One fluid flows through the inner tube while the other fluid flows through the annular space between the inner and outer tube. The fluid can flow in the same direction (parallel flow) or in opposite directions (counter flow). These heat exchangers are generally used for smaller applications where the required heat transfer surface area is relatively low.
03

Compare the surface area per unit volume of a double-pipe heat exchanger to the criteria for a compact heat exchanger

As mentioned earlier, a compact heat exchanger typically has a surface area per unit volume greater than 700 m^2/m^3. In a double-pipe heat exchanger, the heat transfer surface area is limited by the geometry of the concentric tubes, which primarily consists of the outer surface of the inner tube and the inner surface of the outer tube. This geometry does not provide as high a surface area per unit volume as other compact heat exchangers, such as plate, fin, or folded-tube heat exchangers, which have more complex geometries designed to increase the heat transfer surface area.
04

Conclusion

Based on the comparison of the heat transfer surface area per unit volume, a double-pipe heat exchanger generally does not meet the criteria for being classified as a compact heat exchanger. Compact heat exchangers typically have more complex geometries and deliver higher heat transfer rates within a small volume, while double-pipe heat exchangers are more suitable for smaller applications with relatively low heat transfer surface area requirements.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Compact Heat Exchanger
A compact heat exchanger is designed to efficiently manage heat transfer within a very small space. These heat exchangers maximize the amount of heat transfer surface area in relation to the volume they occupy. For a heat exchanger to be classified as compact, its heat transfer surface area must exceed 700 square meters per cubic meter \( (m^2/m^3) \).
This is achieved by employing intricate designs such as plate or fin geometries. The benefits of compact heat exchangers include:
  • Improved heat transfer rates - due to the high surface area
  • Greater efficiency in heat exchange
  • Better space utilization - making them ideal for use where space is limited
Although achieving a high surface area-to-volume ratio can be complex and expensive, the improved performance often justifies the design effort.
Double-Pipe Heat Exchanger
The double-pipe heat exchanger, also recognized as a hairpin or concentric tube heat exchanger, is one of the simplest designs for exchanging heat between two fluids. It consists of two pipes, one inside the other. The inner pipe carries one fluid, while the other fluid flows in the space between the two pipes.
These heat exchangers can operate in:
  • Parallel flow – both fluids move in the same direction
  • Counter flow – fluids move in opposite directions, which is often more efficient
Double-pipe heat exchangers are favored for their straightforward design and ease of maintenance, used primarily for smaller scale applications. However, they typically feature a limited heat transfer surface area. This makes them less suitable for applications requiring high heat transfer rates.
Heat Transfer Surface Area
The concept of heat transfer surface area is central to understanding the efficiency of heat exchangers. It refers to the surface through which heat is exchanged between fluids. The larger the surface area, the more opportunity there is for heat to be transferred, which boosts the exchanger's effectiveness.
Compact heat exchangers are designed to maximize this surface area within a given volume. A higher surface area is often achieved with innovative designs such as folded or finned tubes, effectively facilitating greater heat exchange without occupying extra space. In contrast, double-pipe heat exchangers have a limited geometry. Their surface area consists primarily of the outside surface of the inner tube and the inside surface of the outer tube, resulting in a lower surface area per unit volume compared to more complex compact designs.
Increasing the heat transfer surface area is key for improving efficiency in heat exchanger technology, but it also requires balancing cost, space, and design complexity.

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Most popular questions from this chapter

Air \(\left(c_{p}=1005 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\) enters a cross-flow heat exchanger at \(20^{\circ} \mathrm{C}\) at a rate of \(3 \mathrm{~kg} / \mathrm{s}\), where it is heated by a hot water stream \(\left(c_{p}=4190 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\) that enters the heat exchanger at \(70^{\circ} \mathrm{C}\) at a rate of \(1 \mathrm{~kg} / \mathrm{s}\). Determine the maximum heat transfer rate and the outlet temperatures of both fluids for that case.

Water \(\left(c_{p}=1.0 \mathrm{Btu} / \mathrm{lbm} \cdot{ }^{\circ} \mathrm{F}\right)\) is to be heated by solarheated hot air \(\left(c_{p}=0.24 \mathrm{Btu} / \mathrm{lbm} \cdot{ }^{\circ} \mathrm{F}\right)\) in a double- pipe counterflow heat exchanger. Air enters the heat exchanger at \(190^{\circ} \mathrm{F}\) at a rate of \(0.7 \mathrm{lbm} / \mathrm{s}\) and leaves at \(135^{\circ} \mathrm{F}\). Water enters at \(70^{\circ} \mathrm{F}\) at a rate of \(0.35 \mathrm{lbm} / \mathrm{s}\). The overall heat transfer coefficient based on the inner side of the tube is given to be \(20 \mathrm{Btu} / \mathrm{h} \cdot \mathrm{ft}^{2} \cdot{ }^{\circ} \mathrm{F}\). Determine the length of the tube required for a tube internal diameter of \(0.5 \mathrm{in}\).

Air at \(18^{\circ} \mathrm{C}\left(c_{p}=1006 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\) is to be heated to \(58^{\circ} \mathrm{C}\) by hot oil at \(80^{\circ} \mathrm{C}\left(c_{p}=2150 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\) in a cross-flow heat exchanger with air mixed and oil unmixed. The product of heat transfer surface area and the overall heat transfer coefficient is \(750 \mathrm{~W} / \mathrm{K}\) and the mass flow rate of air is twice that of oil. Determine \((a)\) the effectiveness of the heat exchanger, \((b)\) the mass flow rate of air, and \((c)\) the rate of heat transfer.

A shell-and-tube heat exchanger with 1-shell pass and 14-tube passes is used to heat water in the tubes with geothermal steam condensing at \(120^{\circ} \mathrm{C}\left(h_{f g}=2203 \mathrm{~kJ} / \mathrm{kg}\right)\) on the shell side. The tubes are thin-walled and have a diameter of \(2.4 \mathrm{~cm}\) and length of \(3.2 \mathrm{~m}\) per pass. Water \(\left(c_{p}=4180 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\) enters the tubes at \(22^{\circ} \mathrm{C}\) at a rate of \(3.9 \mathrm{~kg} / \mathrm{s}\). If the temperature difference between the two fluids at the exit is \(46^{\circ} \mathrm{C}\), determine (a) the rate of heat transfer, \((b)\) the rate of condensation of steam, and \((c)\) the overall heat transfer coefficient.

A cross-flow heat exchanger with both fluids unmixed has an overall heat transfer coefficient of \(200 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\), and a heat transfer surface area of \(400 \mathrm{~m}^{2}\). The hot fluid has a heat capacity of \(40,000 \mathrm{~W} / \mathrm{K}\), while the cold fluid has a heat capacity of \(80,000 \mathrm{~W} / \mathrm{K}\). If the inlet temperatures of both hot and cold fluids are \(80^{\circ} \mathrm{C}\) and \(20^{\circ} \mathrm{C}\), respectively, determine the exit temperature of the cold fluid.

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