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When is heat transfer through a fluid conduction and when is it convection? For what case is the rate of heat transfer higher? How does the convection heat transfer coefficient differ from the thermal conductivity of a fluid?

Short Answer

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Question: Describe the difference between conduction and convection heat transfer in a fluid and explain which process has a higher rate of heat transfer. Additionally, compare the convection heat transfer coefficient with the thermal conductivity of a fluid. Answer: Conduction heat transfer in a fluid occurs without any bulk movement of fluid particles, and the heat moves due to the vibration and movement of molecules. Convection heat transfer, on the other hand, occurs due to the bulk movement of fluid particles, resulting in fluid flow that transports heat. The rate of heat transfer is generally higher for convection than conduction as fluid flow continuously moves warmer and cooler regions, increasing the speed of heat transfer. The convection heat transfer coefficient (h) represents the amount of heat transferred per unit time, per unit area, and per unit temperature difference between the fluid and the surface it flows over, while the thermal conductivity (k) is a material property that defines how effectively a material can conduct heat, quantifying heat flow through the material per unit time, per unit area, and per unit temperature gradient.

Step by step solution

01

Understanding Conduction and Convection

Conduction is the transfer of heat within a material or between materials in direct contact with each other due to the vibration and movement of molecules. In the case of a fluid, it occurs when heat is transferred through the fluid without any bulk movement of the fluid itself or when the fluid particles are at rest. Convection, on the other hand, is the transfer of heat within a fluid due to the bulk movement of the fluid particles. In this case, the fluid transports heat as it flows, and the transfer of heat is primarily due to the actual flow of the fluid.
02

When Heat Transfer is Conduction and Convection

Heat transfer through a fluid is conduction when there is no bulk movement of the fluid particles, and the heat moves solely due to the vibration and movement of molecules within the fluid. Heat transfer through a fluid is convection when the heat is transferred mainly due to the bulk movement of the fluid particles, resulting in fluid flow and transport of heat by the flow itself.
03

Comparing Heat Transfer Rates

The rate of heat transfer is generally higher for convection than conduction. The reason for this is that in convection, the fluid flow continuously moves warmer and cooler regions of fluid, which increases the speed of heat transfer. In contrast, heat transfer in conduction mainly relies on molecular vibrations, which is a slower process.
04

Convection Heat Transfer Coefficient and Thermal Conductivity

The convection heat transfer coefficient (h) represents the amount of heat transferred per unit time, per unit area, and per unit temperature difference between the fluid and the surface it flows over. It depends on factors such as fluid properties and flow conditions. Thermal conductivity (k) is a material property that defines how effectively a material can conduct heat. It is the amount of heat that can flow through a material per unit time, per unit area, and per unit temperature gradient. In summary, the convection heat transfer coefficient is related to the overall process of heat transfer through fluid flow, while the thermal conductivity is a property of the fluid itself that quantifies how efficiently it can conduct heat.

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Most popular questions from this chapter

During air cooling of steel balls, the convection heat transfer coefficient is determined experimentally as a function of air velocity to be $h=17.9 V^{0.54}\( for \)0.5

Air at \(5^{\circ} \mathrm{C}\), with a convection heat transfer coefficient of \(30 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\), is used for cooling metal plates coming out of a heat treatment oven at an initial temperature of \(300^{\circ} \mathrm{C}\). The plates $\left(k=180 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}, \rho=2800 \mathrm{~kg} / \mathrm{m}^{3}\right.$, and \(\left.c_{p}=880 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\) have a thickness of \(10 \mathrm{~mm}\). Using appropriate software, determine the effect of cooling time on the temperature gradient in the metal plates at the surface. By varying the cooling time from 0 to \(3000 \mathrm{~s}\), plot the temperature gradient in the plates at the surface as a function of cooling time. Hint: Use the lumped system analysis to calculate the plate surface temperature. Make sure to verify the application of this method to this problem.

Consider steady, laminar, two-dimensional, incompressible flow with constant properties and a Prandtl number of unity. For a given geometry, is it correct to say that both the average friction and heat transfer coefficients depend on the Reynolds number only?

What does the friction coefficient represent in flow over a flat plate? How is it related to the drag force acting on the plate?

Two metal plates are connected by a long ASTM B 98 copper-silicon bolt. A hot gas at \(200^{\circ} \mathrm{C}\) flows between the plates and across the cylindrical bolt. The diameter of the bolt is \(9.5 \mathrm{~mm}\), and the length of the bolt exposed to the hot gas is \(10 \mathrm{~cm}\). The average convection heat transfer coefficient for the bolt in crossflow is correlated with the gas velocity as \(h=24.6 \mathrm{~V}^{0.62}\), where \(h\) and \(V\) have the units \(\mathrm{W} / \mathrm{m}^{2} \cdot \mathrm{K}\) and $\mathrm{m} / \mathrm{s}$, respectively. The maximum use temperature for the ASTM B98 bolt is \(149^{\circ} \mathrm{C}\) (ASME Code for Process Piping, ASME B31.3-2014, Table A-2M). If the gas velocity is \(10.4 \mathrm{~m} / \mathrm{s}\), determine the minimum heat removal rate required to keep the bolt surface from going above the maximum use temperature.

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