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A pipe is insulated to reduce the heat loss from it. However, measurements indicate that the rate of heat loss has increased instead of decreasing. Can the measurements be right?

Short Answer

Expert verified
Answer: Yes, insulation can cause an increased rate of heat loss if the insulation material has a high thermal conductivity, is not thick enough for effective insulation, or if it was installed improperly. It is important to investigate these factors and ensure that the insulation material and its installation are suitable to reduce heat loss from the pipe.

Step by step solution

01

Understanding the Problem

First, let's define what insulation is supposed to do. Insulation is a material inserted around the pipe with low thermal conductivity. This means it is designed to prevent the transfer of heat between the pipe and its surroundings, ultimately reducing the rate of heat loss.
02

Identify Factors that Affect Heat Loss

The rate of heat loss is primarily affected by the following factors: 1. Temperature difference between the pipe and its surroundings 2. Surface area of the pipe 3. Thermal conductivity of the pipe material and the insulation material 4. Thickness of the insulation
03

Consider How Insulation Can Impact These Factors

When insulation is added to a pipe, it affects the thermal conductivity and thickness parameters. In ideal situations, the insulation should have a low thermal conductivity, reducing the rate of heat transfer. Additionally, the thickness of the insulation layer also plays a role in controlling heat loss. A thicker insulation layer would typically further decrease the heat loss. However, if the insulation material itself has a high thermal conductivity or if it has not been installed properly, it may actually be possible for the insulation to increase the rate of heat loss.
04

Examine the Given Measurements

The exercise states that measurements indicate the rate of heat loss has increased after insulation is installed. Based on the factors affecting heat loss and considering that insulation is designed to reduce heat loss, we must evaluate whether the measurements can be right.
05

Identify Potential Causes for Increased Heat Loss

Assuming the measurements are accurate, it is possible that the insulation material has a high thermal conductivity or is not thick enough to provide effective insulation. Additionally, improper installation of the insulation could also contribute to the increased heat loss.
06

Conclusion

The measurements indicating increased heat loss after insulation installation can be right if the insulation material has a high thermal conductivity, if it is not thick enough for effective insulation, or if it was installed improperly. It is important to investigate these factors and ensure that the insulation material and its installation are suitable for the desired objective to reduce heat loss from the pipe.

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Most popular questions from this chapter

A spherical vessel, \(3.0 \mathrm{~m}\) in diameter (and negligible wall thickness), is used for storing a fluid at a temperature of $0^{\circ} \mathrm{C}\(. The vessel is covered with a \)5.0$-cm-thick layer of an insulation \((k=0.20 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})\). The surrounding air is at \(22^{\circ} \mathrm{C}\). The inside and outside heat transfer coefficients are 40 and 10 $\mathrm{W} / \mathrm{m}^{2} \cdot \mathrm{K}\(, respectively. Calculate \)(a)$ all thermal resistances, in \(\mathrm{K} / \mathrm{W},(b)\) the steady rate of heat transfer, and \((c)\) the temperature difference across the insulation layer.

Two very long, slender rods of the same diameter and length are given. One rod (Rod 1) is made of aluminum and has a thermal conductivity $k_{1}=200 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$, but the thermal conductivity of Rod \(2, k_{2}\), is not known. To determine the thermal conductivity of Rod 2 , both rods at one end are thermally attached to a metal surface which is maintained at a constant temperature \(T_{b}\). Both rods are losing heat by convection, with a convection heat transfer coefficient \(h\) into the ambient air at \(T_{\infty}\). The surface temperature of each rod is measured at various distances from the hot base surface. The measurements reveal that the temperature of the aluminum rod (Rod 1) at \(x_{1}=40 \mathrm{~cm}\) from the base is the same as that of the rod of unknown thermal conductivity (Rod 2) at \(x_{2}=20 \mathrm{~cm}\) from the base. Determine the thermal conductivity \(k_{2}\) of the second rod \((\mathrm{W} / \mathrm{m} \cdot \mathrm{K})\).

In a combined heat and power (CHP) generation process, by-product heat is used for domestic or industrial heating purposes. Hot steam is carried from a CHP generation plant by a tube with diameter of \(127 \mathrm{~mm}\) centered at a square crosssection solid bar made of concrete with thermal conductivity of \(1.7 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\). The surface temperature of the tube is constant at \(120^{\circ} \mathrm{C}\), while the square concrete bar is exposed to air with temperature of \(-5^{\circ} \mathrm{C}\) and convection heat transfer coefficient of \(20 \mathrm{~W} / \mathrm{m}^{2}\). \(\mathrm{K}\). If the temperature difference between the outer surface of the square concrete bar and the ambient air is to be maintained at $5^{\circ} \mathrm{C}$, determine the width of the square concrete bar and the rate of heat loss per meter length. Answers: $1.32 \mathrm{~m}, 530 \mathrm{~W} / \mathrm{m}$

Hot water is to be cooled as it flows through the tubes exposed to atmospheric air. Fins are to be attached in order to enhance heat transfer. Would you recommend attaching the fins inside or outside the tubes? Why?

The overall heat transfer coefficient (the \(U\)-value) of a wall under winter design conditions is \(U=2.25 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). Now a layer of \(100-\mathrm{mm}\) face brick is added to the outside, leaving a 20 -mm airspace between the wall and the bricks. Determine the new \(U\)-value of the wall. Also, determine the rate of heat transfer through a \(3-\mathrm{m}\)-high, 7-m-long section of the wall after modification when the indoor and outdoor temperatures are \(22^{\circ} \mathrm{C}\) and $-25^{\circ} \mathrm{C}$, respectively.

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