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Consider a person who is resting or doing light work. Is it fair to say that roughly one-third of the metabolic heat generated in the body is dissipated to the environment by convection, one-third by evaporation, and the remaining onethird by radiation?

Short Answer

Expert verified
Answer: The assumption that one-third of the metabolic heat is dissipated through each mode - convection, evaporation, and radiation - might not be accurate for all situations. Heat dissipation rates vary depending on factors such as metabolic rate, clothing, environmental temperature, and humidity. It would be more accurate to say that the proportions of heat dissipation through each mode can vary depending on the specific conditions.

Step by step solution

01

Understand heat dissipation in the human body

Heat dissipation is the process by which the heat generated inside the human body is transferred to the environment. The main modes of heat transfer from the human body are convection, evaporation, and radiation.
02

Analyze convection

Convection is the process of heat transfer through a fluid (in this case, air) that's in direct contact with the skin. When the person's skin is warmer than the surrounding air, the heat from the body is transferred to the air. This is known as natural convection.
03

Analyze evaporation

Evaporation is the process by which liquid (sweat) on the skin evaporates, taking away heat from the body. This is a crucial mechanism for regulating body temperature, especially in hot conditions or during physical exercise.
04

Analyze radiation

Radiation is the process by which heat is emitted from the body in the form of infrared waves. This mode of heat transfer doesn't require a medium (such as air or water) and is responsible for keeping the body warm in cold environments, as well as dissipating some heat during rest or light work.
05

Evaluate the assumption

The assumption that one-third of the metabolic heat is dissipated through each mode - convection, evaporation, and radiation - might not be accurate for all situations. The heat dissipation rate through each mode depends on various factors such as the person's metabolic rate, clothing, environmental temperature, and humidity. For example, in a hot and humid environment, evaporation might play a more significant role in heat dissipation, while in a cold environment, radiation might play a more substantial role. Therefore, it would be more accurate to say that the proportions of heat dissipation through each mode can vary depending on the specific conditions.

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Most popular questions from this chapter

Two parallel concentric disks, \(20 \mathrm{~cm}\) and \(40 \mathrm{~cm}\) in diameter, are separated by a distance of \(10 \mathrm{~cm}\). The smaller disk \((\varepsilon=0.80)\) is at a temperature of \(300^{\circ} \mathrm{C}\). The larger disk \((\varepsilon=0.60)\) is at a temperature of $800^{\circ} \mathrm{C}$. (a) Calculate the radiation view factors. (b) Determine the rate of radiation heat exchange between the two disks. (c) Suppose that the space between the two disks is completely surrounded by a reflective surface. Estimate the rate of radiation heat exchange between the two disks.

Consider a \(4-\mathrm{m} \times 4-\mathrm{m} \times 4-\mathrm{m}\) cubical furnace whose floor and ceiling are black and whose side surfaces are reradiating. The floor and the ceiling of the furnace are maintained at temperatures of \(550 \mathrm{~K}\) and \(1100 \mathrm{~K}\), respectively. Determine the net rate of radiation heat transfer between the floor and the ceiling of the furnace.

In a natural gas-fired boiler, combustion gases pass through 6-m-long,15-cm- diameter tubes immersed in water at \(1 \mathrm{~atm}\) pressure. The tube temperature is measured to be \(105^{\circ} \mathrm{C}\), and the emissivity of the inner surfaces of the tubes is estimated to be \(0.9\). Combustion gases enter the tube at \(1 \mathrm{~atm}\) and \(1000 \mathrm{~K}\) at a mean velocity of \(3 \mathrm{~m} / \mathrm{s}\). The mole fractions of \(\mathrm{CO}_{2}\) and \(\mathrm{H}_{2} \mathrm{O}\) in combustion gases are 8 percent and 16 percent, respectively. Assuming fully developed flow and using properties of air for combustion gases, determine \((a)\) the rates of heat transfer by convection and by radiation from the combustion gases to the tube wall and \((b)\) the rate of evaporation of water.

Consider a \(1.5\)-m-high and 3-m-wide solar collector that is tilted at an angle \(20^{\circ}\) from the horizontal. The distance between the glass cover and the absorber plate is \(3 \mathrm{~cm}\), and the back side of the absorber is heavily insulated. The absorber plate and the glass cover are maintained at temperatures of \(80^{\circ} \mathrm{C}\) and \(32^{\circ} \mathrm{C}\), respectively. The emissivity of the glass surface is \(0.9\) and that of the absorber plate is \(0.8\). Determine the rate of heat loss from the absorber plate by natural convection and radiation. Answers: $750 \mathrm{~W}, 1289 \mathrm{~W}$

Consider a circular grill whose diameter is \(0.3 \mathrm{~m}\). The bottom of the grill is covered with hot coal bricks at \(950 \mathrm{~K}\), while the wire mesh on top of the grill is covered with steaks initially at $5^{\circ} \mathrm{C}\(. The distance between the coal bricks and the steaks is \)0.20 \mathrm{~m}$. Treating both the steaks and the coal bricks as blackbodies, determine the initial rate of radiation heat transfer from the coal bricks to the steaks. Also, determine the initial rate of radiation heat transfer to the steaks if the side opening of the grill is covered by aluminum foil, which can be approximated as a reradiating surface. Answers: $928 \mathrm{~W}, 2085 \mathrm{~W}$

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