3. In a conducting slab with uniform heat generation, the temperature profile along the thickness is linear.
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- A long wire 0.7 mm in diameter with an emissivity of 0.9 is placed in a large quiescent air space at 270 K. If the wire is at 800 K, calculate the net rate of heat loss. Discuss your assumptions.Determine the power requirement of a soldering iron in which the tip is maintained at 400C. The tip is a cylinder 3 mm in diameter and 10 mm long. The surrounding air temperature is 20C, and the average convection heat transfer coefficient over the tip is 20W/m2K. The tip is highly polished initially, giving it a very low emittance.PROBLEM 4: A black thermocouple is inside a chamber with black walls. If the air around the thermocouple is at 20°C, the walls are at 100-C, and the heat transfer coefficient between the thermocouple and the air is 75 W/m²K, what temperature will the thermocouple read?
- Heat transfer problem.The internal surface area is an enclosure is 50 meter square. The surface is black and maintained at constant temperature. A small opening in the enclosure has area 0.05 meter square. The radiant power emitted from the opening is 52W. (A) what’s the temperature of the interior enclosure wall. (B)if the interior surface is maintained in this temperature, but polished so that emissivity is 0.15, what will be the radiant power emitted in the opening.An aluminum sphere, initially at a temperature of 25°C, is placed in a 300°C oven. How do the temperatures of the sphere center (black) and the sphere surface (orange) change over time? Assume that the thermal conductivity of the sphere is large and that the rate of convective heat transfer to the sphere is relatively small. Why? A B Tsurface Tinside Time Time C E Time Time TimeAn infrared camera is used to measure a temperature at a tissue location. The infrared camera uses the same equation as that in the lecture notes. When the total hemispherical emissivity is selected as &=1.0, the temperature reading on the camera is 45°C. (a) Based on the equation given in the notes, please calculate the radiation heat flux received by the camera qck. The Stefan-Boltzmann's constant ois 5.67*108 W/(m²K¹). (b) However, you notice that the actual emissivity of the tissue surface should be 0.95. The room temperature is 20°C. Use the equation again to calculate the temperature of the tissue location, note that qck should be the same as in (a). What is the absolute error of the measurement if both the room temperature and deviation from a perfect blackbody surface are not considered?
- A solid sphere made of polished copper has a diameter of 2 cm and is at 100 C. We now expose the solid sphere to are at 50 C and 1 atm. Use the lumped capacitance method to plot the temperature of the solid sphere versus time after five minutes of exposure. The air is quiescent.At the start of the following situation, determine the heat transfer contributions of each heat transfer pathway, and state the direction of each heat transfer and which dominates. A 1m diameter ball of iron is immersed in stagnant liquid water; both are perfect blackbodies. The sphere is a uniform 100 degC while the water is 20 deg C. Conduction can be assumed to occur over a 1 cm length distance away from the sphere. Neglect any temperature gradients that would be established. Other key parameters for the situation are: Hconv = 100 W/(m2 K) Kcond = 0.6 WI(m K) Stefan-Boltzmann constant 5.67E-8 WI(m2 K4) %3D29. Gamma radiation is bombarding an iron plate as shown in the figure. A con- vection boundary condition of T;= 150 C and h = 200 W/m-K removes heat from the plate. Find the maximum temperature and its location in the plate. Also find temperature at 1 cm from the side facing irradiation and the rate of heat removal from the side not being irradiated. k= 48.5 kW/m K, µ= 24.6 m'. Questions and Problems 507 40 = 19,600 kW/m³ 15 cm T, = 150 C h= 200 W/m K T = 150 C h= 200 W/m K
- You are designing a chamber to contain the radiation emitted by nuclear decay during a fusion reaction. The left face of the (plane) chamber wall (x = 0) is exposed to the radiation and the right face of the wall (x = L) is perfectly insulated. To facilitate the fusion reaction, the left face of the wall is maintained at fixed temperature To. The radiation penetrates the wall causing uniform heat generation that varies with location inside the wall as ) = 40 (1 - 1) g(x) where qo [W/m^3 ] is a constant. Determine an expression for the temperature distribution in the wall T(x) assuming the thermal conductivity of the wall (k) is constant.It is desired to heat the workshop with a stove made of falling cylindrical sheet material with an outer diameter of 400 mm and a height of 1600 mm. The surface temperature of the stove is 217 oC and the radiation emission coefficient is 0.92, the temperature of the workshop surfaces is 12 oC and the ambient temperature of the workshop is 17 oC. Next to the stove, the workshop surface area is very large. From the side surface of the stove to the workshop; a) By transport,b) with radiation Calculate the heat transfer.Spacecraft must be cooled via radiative mechanisms, and one means of doing this is by using radiation fins. In many instances, these fins are heated rods that protrude from the spacecraft. Assume that the rod is of length, L; cross-sectional are, Ac; and perimeter, Pā. Its base temperature is T, and the rod has thermal conductivity and emissivity, λ and ɛ, respectively. Set up the differential equation describing the temperature profile within the rod assuming that space is a blackbody at Ts.