Chapter 11: Problem 7
How does a crossflow heat exchanger differ from a counterflow one? What is the difference between mixed and unmixed fluids in crossflow?
Chapter 11: Problem 7
How does a crossflow heat exchanger differ from a counterflow one? What is the difference between mixed and unmixed fluids in crossflow?
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Get started for freeA 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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