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How does a crossflow heat exchanger differ from a counterflow one? What is the difference between mixed and unmixed fluids in crossflow?

Short Answer

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Question: Explain the differences between crossflow and counterflow heat exchangers and the characteristics of mixed and unmixed fluids in crossflow configurations. Answer: In crossflow heat exchangers, fluids flow perpendicular to each other and can handle large temperature differences and flow rates with a compact design. In counterflow heat exchangers, fluids flow parallel but in opposite directions, providing the most efficient heat transfer. Mixed fluids in crossflow have uniform temperature distribution and can enhance heat transfer rates but may increase pressure drop and energy consumption. Unmixed fluids in crossflow have a temperature gradient, resulting in potentially less efficient heat transfer rates but reduced pressure drops.

Step by step solution

01

Defining Crossflow and Counterflow Heat Exchangers

In crossflow heat exchangers, the fluids flow perpendicular to each other, whereas in counterflow heat exchangers, the fluids flow parallel to each other but in opposite directions. Both types of heat exchangers are designed to transfer heat between the fluids without mixing them.
02

Crossflow Heat Exchanger Characteristics

In a crossflow heat exchanger, the primary and secondary fluids flow at right angles to each other. One fluid remains inside the tubes, while the other flows across the tubes. The main advantage of this configuration is the ability to handle large temperature differences and flow rates while maintaining a compact design.
03

Counterflow Heat Exchanger Characteristics

In a counterflow heat exchanger, the fluids flow parallel to each other but in opposite directions. This arrangement allows for the greatest possible temperature difference between the fluids, resulting in the most efficient heat transfer. Counterflow heat exchangers are used in a wide range of applications, including power generation and process cooling.
04

Mixed and Unmixed Fluids in Crossflow

In a crossflow heat exchanger, the term "mixed" refers to whether the fluid on one side of the heat exchanger is fully mixed along the transverse direction as it flows across the tubes. If a fluid is fully mixed, the temperature along the transverse direction is considered uniform. In contrast, if a fluid is "unmixed," there will be a temperature gradient along the transverse direction. This gradient can impact the overall heat transfer rate of the heat exchanger. Fully mixed fluids can enhance heat transfer rates but may increase pressure drop and energy consumption, while unmixed fluids can reduce pressure drop but may lead to less efficient heat transfer rates.
05

Summary

A crossflow heat exchanger has fluids flowing perpendicular to each other, which allows it to handle large temperature differences and flow rates while maintaining a compact design. In contrast, a counterflow heat exchanger has fluids flowing parallel but in opposite directions, which results in the most efficient heat transfer. In crossflow heat exchangers, mixed fluids result in uniform temperature distribution, while unmixed fluids may have a temperature gradient. Mixed fluids can increase heat transfer rates but may also increase pressure drop and energy consumption, while unmixed fluids can lead to less efficient heat transfer rates but reduced pressure drops.

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Most popular questions from this chapter

A shell-and-tube heat exchanger with two shell passes and four tube passes is used for cooling oil $\left(c_{p}=2.0 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}\right)\( from \)125^{\circ} \mathrm{C}\( to \)55^{\circ} \mathrm{C}$. The coolant is water, which enters the shell side at \(25^{\circ} \mathrm{C}\) and leaves at \(46^{\circ} \mathrm{C}\). The overall heat transfer coefficient is \(900 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). For an oil flow rate of \(10 \mathrm{~kg} / \mathrm{s}\), calculate the cooling water flow rate and the heat transfer area.

The radiator in an automobile is a crossflow heat exchanger $\left(U A_{s}=10 \mathrm{~kW} / \mathrm{K}\right)\( that uses air \)\left(c_{p}=1.00 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}\right)$ to cool the engine coolant fluid \(\left(c_{p}=4.00 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}\right)\). The engine fan draws \(30^{\circ} \mathrm{C}\) air through this radiator at a rate of \(12 \mathrm{~kg} / \mathrm{s}\) while the coolant pump circulates the engine coolant at a rate of \(5 \mathrm{~kg} / \mathrm{s}\). The coolant enters this radiator at \(80^{\circ} \mathrm{C}\). Under these conditions, what is the number of transfer units (NTU) of this radiator? (a) \(2.0\) (b) \(2.5\) (c) \(3.0\) (d) \(3.5\) (e) \(4.0\)

A one-shell and two-tube-type heat exchanger has an overall heat transfer coefficient of $300 \mathrm{Btu} / \mathrm{h} \cdot \mathrm{ft}^{2}{ }^{\circ} \mathrm{F}\(. The shell-side fluid has a heat capacity rate of \)20,000 \mathrm{Btu} / \mathrm{h} \cdot{ }^{\circ} \mathrm{F}$, while the tube-side fluid has a heat capacity rate of 40,000 $\mathrm{Btu} / \mathrm{h} \cdot{ }^{\circ} \mathrm{F}$. The inlet temperatures on the shell side and tube side are \(200^{\circ} \mathrm{F}\) and \(90^{\circ} \mathrm{F}\), respectively. If the total heat transfer area is \(100 \mathrm{ft}^{2}\), determine \((a)\) the heat transfer effectiveness and \((b)\) the actual heat transfer rate in the heat exchanger.

Explain how the maximum possible heat transfer rate \(\dot{Q}_{\max }\) in a heat exchanger can be determined when the mass flow rates, specific heats, and inlet temperatures of the two fluids are specified. Does the value of \(\dot{Q}_{\max }\) depend on the type of the heat exchanger?

Consider a double-pipe counterflow heat exchanger. In order to enhance heat transfer, the length of the heat exchanger is now doubled. Do you think its effectiveness will also double?

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