What are the common approximations made in the analysis of heat exchangers?

Short Answer

Expert verified
Answer: The common approximations made in analyzing heat exchangers include assuming constant fluid properties, neglecting heat transfer to surroundings, assuming steady-state operation, assuming uniform temperature distribution, and using simplified correlations for heat transfer coefficients and pressure drops. These approximations are used to simplify the calculations and make the design process more straightforward. While they may not always provide highly accurate results, they are generally considered acceptable for design and optimization purposes.

Step by step solution

01

1. Constant properties assumption

One of the common approximations made in analyzing heat exchangers is assuming that the physical properties of the fluids involved, such as specific heat, density, viscosity, and thermal conductivity, are constant. In reality, these fluid properties may change with temperature; however, assuming constant properties can simplify the calculations and is considered valid for small temperature differences.
02

2. Neglecting heat transfer to the surroundings

Another common approximation is to assume that there is no heat transfer to or from the surroundings. In reality, a heat exchanger may lose or gain heat to its surroundings, depending on the environment. However, this heat transfer can often be neglected in the analysis since it is usually small compared to the heat being transferred between the fluids.
03

3. Steady-state operation

In many heat exchanger analyses, it is assumed that the system is operating under steady-state conditions. This means that the temperatures, flow rates, and other variables are not changing with time. In practice, there may be transient periods where conditions are changing, but steady-state analysis is often sufficient for design and optimization purposes.
04

4. Uniform temperature distribution

In some heat exchanger analyses, it is assumed that the temperature distribution within a fluid is uniform. This means that the temperature is the same throughout the fluid at any given location in the heat exchanger. In reality, the temperature can vary across the fluid for various reasons, such as the presence of temperature gradients. However, assuming a uniform temperature distribution simplifies calculations and can be an acceptable approximation in many cases.
05

5. Simplified heat transfer correlations

In the analysis of heat exchangers, many simplified correlations are used to predict heat transfer coefficients and pressure drops. These correlations may not always provide highly accurate results, but they are generally useful in providing reasonable estimates for heat transfer performance and sizing calculations. In conclusion, various common approximations are made in the analysis of heat exchangers to simplify the calculations and make the design process more straightforward. These assumptions include constant fluid properties, neglecting heat transfer to surroundings, assuming steady-state operation, uniform temperature distribution, and using simplified correlations for heat transfer coefficients and pressure drops. While these approximations may not always provide highly accurate results, they are generally considered acceptable for design and optimization purposes.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In a parallel-flow, liquid-to-liquid heat exchanger, the inlet and outlet temperatures of the hot fluid are \(150^{\circ} \mathrm{C}\) and \(90^{\circ} \mathrm{C}\) while that of the cold fluid are \(30^{\circ} \mathrm{C}\) and \(70^{\circ} \mathrm{C}\), respectively. For the same overall heat transfer coefficient, the percentage decrease in the surface area of the heat exchanger if counter-flow arrangement is used is (a) \(3.9 \%\) (b) \(9.7 \%\) (c) \(14.5 \%\) (d) \(19.7 \%\) (e) \(24.6 \%\)

A 2-shell passes and 4-tube passes heat exchanger is used for heating a hydrocarbon stream \(\left(c_{p}=2.0 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}\right)\) steadily from \(20^{\circ} \mathrm{C}\) to \(50^{\circ} \mathrm{C}\). A water stream enters the shellside at \(80^{\circ} \mathrm{C}\) and leaves at \(40^{\circ} \mathrm{C}\). There are 160 thin-walled tubes, each with a diameter of \(2.0 \mathrm{~cm}\) and length of \(1.5 \mathrm{~m}\). The tube-side and shell-side heat transfer coefficients are \(1.6\) and \(2.5 \mathrm{~kW} / \mathrm{m}^{2} \cdot \mathrm{K}\), respectively. (a) Calculate the rate of heat transfer and the mass rates of water and hydrocarbon streams. (b) With usage, the outlet hydrocarbon-stream temperature was found to decrease by \(5^{\circ} \mathrm{C}\) due to the deposition of solids on the tube surface. Estimate the magnitude of fouling factor.

Consider a shell-and-tube water-to-water heat exchanger with identical mass flow rates for both the hotand cold-water streams. Now the mass flow rate of the cold water is reduced by half. Will the effectiveness of this heat exchanger increase, decrease, or remain the same as a result of this modification? Explain. Assume the overall heat transfer coefficient and the inlet temperatures remain the same.

Saturated liquid benzene flowing at a rate of \(5 \mathrm{~kg} / \mathrm{s}\) is to be cooled from \(75^{\circ} \mathrm{C}\) to \(45^{\circ} \mathrm{C}\) by using a source of cold water \(\left(c_{p}=4187 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\) flowing at \(3.5 \mathrm{~kg} / \mathrm{s}\) and \(15^{\circ} \mathrm{C}\) through a \(20-\mathrm{mm}-\) diameter tube of negligible wall thickness. The overall heat transfer coefficient of the heat exchanger is estimated to be \(750 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). If the specific heat of the liquid benzene is \(1839 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\) and assuming that the capacity ratio and effectiveness remain the same, determine the heat exchanger surface area for the following four heat exchangers: \((a)\) parallel flow, \((b)\) counter flow, \((c)\) shelland-tube heat exchanger with 2 -shell passes and 40-tube passes, and \((d)\) cross-flow heat exchanger with one fluid mixed (liquid benzene) and other fluid unmixed (water).

Consider a heat exchanger that has an NTU of 4 . Someone proposes to double the size of the heat exchanger and thus double the NTU to 8 in order to increase the effectiveness of the heat exchanger and thus save energy. Would you support this proposal?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free