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For a specified fluid pair, inlet temperatures, and mass flow rates, what kind of heat exchanger will have the highest effectiveness: double-pipe parallel- flow, double-pipe counterflow, cross-flow, or multipass shell-and-tube heat exchanger?

Short Answer

Expert verified
Answer: The multipass shell-and-tube heat exchanger has the potential to have the highest effectiveness, given the specific fluid pair, inlet temperatures, and mass flow rates. However, the effectiveness of any heat exchanger depends on its specific design, materials, and operating conditions.

Step by step solution

01

Understand heat exchanger effectiveness

Heat exchanger effectiveness is the ratio of the actual heat transfer to the maximum possible heat transfer between the fluids. The higher the effectiveness, the better the heat exchanger is at transferring heat. Different heat exchanger configurations have different effectiveness values, depending on their design.
02

Investigate double-pipe parallel-flow heat exchanger

In a double-pipe parallel-flow heat exchanger, fluids flow in the same direction. The temperature difference between the fluids decreases along the length of the exchanger, reducing the heat transfer rate. Thus, the effectiveness of this type of heat exchanger is lower than other types.
03

Investigate double-pipe counterflow heat exchanger

In a double-pipe counterflow heat exchanger, fluids flow in opposite directions. This arrangement maintains a more constant temperature difference between the fluids, which leads to a higher heat transfer rate. The effectiveness of this type of exchanger is higher than the parallel-flow heat exchanger.
04

Investigate cross-flow heat exchanger

In a cross-flow heat exchanger, fluids flow perpendicularly to each other. This arrangement provides a high rate of heat transfer, resulting in higher effectiveness than both parallel-flow and counterflow heat exchangers. However, the effectiveness of a cross-flow heat exchanger depends on the specific flow arrangement (i.e., whether the flows are mixed or unmixed).
05

Investigate multipass shell-and-tube heat exchanger

In a multipass shell-and-tube heat exchanger, fluids flow through multiple passes within the tubes and shell. This configuration increases the number of heat transfer surfaces, resulting in a higher heat transfer rate and effectiveness. The effectiveness of a multipass shell-and-tube exchanger depends on the number of passes and the specific design.
06

Determine the heat exchanger with the highest effectiveness

From the information provided in steps 2-5, and knowing the specific fluid pair, inlet temperatures, and mass flow rates, one can conclude that the multipass shell-and-tube heat exchanger has the potential to have the highest effectiveness. However, it is important to note that the effectiveness of any heat exchanger depends on its specific design, materials, and operating conditions.

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Key Concepts

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

Double-Pipe Parallel-Flow
In a double-pipe parallel-flow heat exchanger, both fluids enter and move in the same direction. This setup is simple and straightforward.
Because both fluids travel side-by-side from start to finish, the temperature difference between them slowly decreases along the length of the heat exchanger.
  • The diminishing temperature difference means less heat transfer occurs over time.
  • As a result, this type of exchanger has comparatively lower effectiveness.
  • It’s easy to understand and implement, making it suitable for systems where simplicity is needed over efficiency.
In general, while the double-pipe parallel-flow system is easy to construct and use, the gradually reducing heat transfer potential causes its effectiveness to be on the lower side compared to other configurations.
Double-Pipe Counterflow
A double-pipe counterflow heat exchanger features fluids flowing in opposite directions. This design maximizes the temperature gradient, as one fluid becomes cooler while the other becomes hotter, maintaining a consistent temperature difference along the entire length.
  • This consistent temperature difference allows for more effective heat transfer.
  • Therefore, counterflow arrangements usually exhibit higher effectiveness than parallel-flow
  • They’re ideal in applications where efficiency is a crucial factor.
The double-pipe counterflow heat exchanger's design leverages the opposing movement of fluids to enhance its ability to transfer heat, making it superior in effectiveness to the parallel-flow configuration.
Cross-Flow Heat Exchanger
In the cross-flow heat exchanger, one fluid flows perpendicular to another, leading to a more varied temperature profile.
This setup benefits from a large surface area for heat transfer, boosting its effectiveness.
  • This exchanger can be configured with either mixed or unmixed flow.
  • Unmixed flow on both sides achieves higher effectiveness.
  • However, the effectiveness can vary depending on how the flows are mixed or unmixed.
Cross-flow heat exchanges are often used in applications needing good heat transfer rates without the complexity of shell and tube designs. While their effectiveness is generally higher than parallel and counterflow systems, the actual values can depend on specific configurations and design intricacies.
Multipass Shell-and-Tube
The multipass shell-and-tube heat exchanger is intricate but highly efficient.
Its design involves fluids passing through tubes with several turns or loops within the shell, maximizing the contact surface for heat exchange.
  • More complex and multiple passes provide more surfaces for heat transfer.
  • This results in a higher heat transfer rate than single-pass designs.
  • Consequently, this exchanger often boasts the highest effectiveness of those considered here.
Because of its potential complexity and flexibility, the multipass shell-and-tube design can be tailored to specific operational needs, making it exceptionally versatile and effective in diverse industrial applications. It's a popular choice where maximum heat exchange is needed within compact space.

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Most popular questions from this chapter

The cardiovascular counter-current heat exchanger mechanism is to warm venous blood from \(28^{\circ} \mathrm{C}\) to \(35^{\circ} \mathrm{C}\) at a mass flow rate of \(2 \mathrm{~g} / \mathrm{s}\). The artery inflow temperature is \(37^{\circ} \mathrm{C}\) at a mass flow rate of \(5 \mathrm{~g} / \mathrm{s}\). The average diameter of the vein is \(5 \mathrm{~cm}\) and the overall heat transfer coefficient is \(125 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). Determine the overall blood vessel length needed to warm the venous blood to \(35^{\circ} \mathrm{C}\) if the specific heat of both arterial and venous blood is constant and equal to \(3475 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\).

Consider a condenser unit (shell and tube heat exchanger) of an HVAC facility where saturated refrigerant \(\mathrm{R} 134 \mathrm{a}\) at a saturation pressure of \(1318.6 \mathrm{kPa}\) and a rate of \(2.5 \mathrm{~kg} / \mathrm{s}\) flows through thin-walled copper tubes. The refrigerant enters the condenser as saturated vapor and it is desired to have a saturated liquid refrigerant at the exit. The cooling of refrigerant is carried out by cold water that enters the heat exchanger at \(10^{\circ} \mathrm{C}\) and exits at \(40^{\circ} \mathrm{C}\). Assuming initial overall heat transfer coefficient of the heat exchanger to be \(3500 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\), determine the surface area of the heat exchanger and the mass flow rate of cooling water for complete condensation of the refrigerant. In practice, over a long period of time, fouling occurs inside the heat exchanger that reduces its overall heat transfer coefficient and causes the mass flow rate of cooling water to increase. Increase in the mass flow rate of cooling water will require additional pumping power making the heat exchange process uneconomical. To prevent the condenser unit from under performance, assume that fouling has occurred inside the heat exchanger and has reduced its overall heat transfer coefficient by \(20 \%\). For the same inlet temperature and flow rate of refrigerant, determine the new flow rate of cooling water to ensure complete condensation of the refrigerant at the heat exchanger exit.

A single-pass cross-flow heat exchanger uses hot air (mixed) to heat water (unmixed), flowing with a mass flow rate of \(3 \mathrm{~kg} / \mathrm{s}\), from \(30^{\circ} \mathrm{C}\) to \(80^{\circ} \mathrm{C}\). The hot air enters and exits the heat exchanger at \(220^{\circ} \mathrm{C}\) and \(100^{\circ} \mathrm{C}\), respectively. If the overall heat transfer coefficient is \(200 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\), determine the required surface area.

A shell-and-tube heat exchanger with 2-shell passes and 12 -tube passes is used to heat water \(\left(c_{p}=4180 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\) in the tubes from \(20^{\circ} \mathrm{C}\) to \(70^{\circ} \mathrm{C}\) at a rate of \(4.5 \mathrm{~kg} / \mathrm{s}\). Heat is supplied by hot oil \(\left(c_{p}=2300 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\) that enters the shell side at \(170^{\circ} \mathrm{C}\) at a rate of \(10 \mathrm{~kg} / \mathrm{s}\). For a tube-side overall heat transfer coefficient of \(350 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\), determine the heat transfer surface area on the tube side.

Hot water \(\left(c_{p h}=4188 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\) with mass flow rate of \(2.5 \mathrm{~kg} / \mathrm{s}\) at \(100^{\circ} \mathrm{C}\) enters a thin-walled concentric tube counterflow heat exchanger with a surface area of \(23 \mathrm{~m}^{2}\) and an overall heat transfer coefficient of \(1000 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). Cold water \(\left(c_{p c}=4178 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\) with mass flow rate of \(5 \mathrm{~kg} / \mathrm{s}\) enters the heat exchanger at \(20^{\circ} \mathrm{C}\), determine \((a)\) the heat transfer rate for the heat exchanger and \((b)\) the outlet temperatures of the cold and hot fluids. After a period of operation, the overall heat transfer coefficient is reduced to \(500 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\), determine (c) the fouling factor that caused the reduction in the overall heat transfer coefficient.

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