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Can all three modes of heat transfer occur simultaneously (in parallel) in a medium?

Short Answer

Expert verified
Explain your answer. Answer: Yes, all three modes of heat transfer can occur simultaneously in a medium if the necessary conditions are met: presence of a temperature gradient for conduction, a fluid and temperature gradient for convection, and objects emitting or absorbing electromagnetic waves for radiation.

Step by step solution

01

Understanding Conduction

Conduction is the transfer of heat through a medium without any movement of the medium itself, such as when heat moves through a solid. Examples include heat transfer through a metal rod or heat loss through walls in a building. As long as there's a temperature gradient in the medium, heat can be transferred through conduction.
02

Understanding Convection

Convection is the transfer of heat through the motion of fluids, such as liquids and gases. In convection, energy is transported through the movement of heated particles in the fluid, leading to heat transfer. Examples include heat transfer in boiling water or air circulation in a room with a heater. Convection can occur in a medium if it is a fluid and there is a temperature gradient present.
03

Understanding Radiation

Radiation is the transfer of heat through electromagnetic waves, such as infrared radiation. Heat transfer through radiation differs from conduction and convection because it does not rely on the presence of a medium to transfer heat. Examples of heat transfer through radiation include the emission of heat from a hot stove or the warming of the Earth by the sun. Radiation can occur simultaneously with conduction and convection.
04

Determining if all modes can occur simultaneously

All three modes of heat transfer, conduction, convection, and radiation, can occur simultaneously in a medium under certain conditions. Conduction can be present if there is a temperature gradient within the medium. Convection can happen if the medium is a fluid, and natural or forced convection is present due to temperature gradients within the fluid. Finally, radiation can occur regardless of the presence of a medium, as long as there are objects with varying temperatures emitting or absorbing electromagnetic waves. In conclusion, all three modes of heat transfer can occur simultaneously in a medium if the necessary conditions are met: presence of a temperature gradient for conduction, a fluid and temperature gradient for convection, and objects emitting or absorbing electromagnetic waves for radiation.

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Most popular questions from this chapter

Solar radiation is incident on a \(5-\mathrm{m}^{2}\) solar absorber plate surface at a rate of \(800 \mathrm{~W} / \mathrm{m}^{2}\). Ninety-three percent of the solar radiation is absorbed by the absorber plate, while the remaining 7 percent is reflected away. The solar absorber plate has a surface temperature of \(40^{\circ} \mathrm{C}\) with an emissivity of \(0.9\) that experiences radiation exchange with the surrounding temperature of $-5^{\circ} \mathrm{C}$. In addition, convective heat transfer occurs between the absorber plate surface and the ambient air of \(20^{\circ} \mathrm{C}\) with a convection heat transfer coefficient of \(7 \mathrm{~W} / \mathrm{m}^{2}\). \(\mathrm{K}\). Determine the efficiency of the solar absorber, which is defined as the ratio of the usable heat collected by the absorber to the incident solar radiation on the absorber.

A 10-cm-high and 20-cm-wide circuit board houses on its surface 100 closely spaced chips, each generating heat at a rate of \(0.08 \mathrm{~W}\) and transferring it by convection and radiation to the surrounding medium at \(40^{\circ} \mathrm{C}\). Heat transfer from the back surface of the board is negligible. If the combined convection and radiation heat transfer coefficient on the surface of the board is $22 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}$, the average surface temperature of the chips is (a) \(72.4^{\circ} \mathrm{C}\) (b) \(66.5^{\circ} \mathrm{C}\) (c) \(40.4^{\circ} \mathrm{C}\) (d) \(58.2^{\circ} \mathrm{C}\) (e) \(49.1^{\circ} \mathrm{C}\)

Consider a 3-m \(\times 3-\mathrm{m} \times 3-\mathrm{m}\) cubical furnace whose top and side surfaces closely approximate black surfaces at a temperature of \(1200 \mathrm{~K}\). The base surface has an emissivity of \(\varepsilon=0.7\), and is maintained at \(800 \mathrm{~K}\). Determine the net rate of radiation heat transfer to the base surface from the top and side surfaces.

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In the metal processing industry, heat treatment of metals is commonly done using electrically heated draw batch furnaces. Consider a furnace that is situated in a room with surrounding air temperature of \(30^{\circ} \mathrm{C}\) and an average convection heat transfer coefficient of $12 \mathrm{~W} / \mathrm{m}^{2}\(. \)\mathrm{K}$. The furnace front is made of a steel plate with thickness of \(20 \mathrm{~mm}\) and a thermal conductivity of $25 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$. The outer furnace front surface has an emissivity of \(0.23\), and the inside surface is subjected to a heat flux of $8 \mathrm{~kW} / \mathrm{m}^{2}$. Determine the outside surface temperature of the furnace front.

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