hollow sphere (r = 6 in, r = 2.5 in) shaped food particle (k = 45- BTU is heated hr.ft.F n microwave oven and the oven provides a heat generation (Q = 0.5 x 105 BTU) in the Overall volume of the material. What is the temperature profile along the sphere and the temperature at r = 5 in if the surface temperature is 120 °F ? (Answer: 161.15°F)
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- What is the rate of heat transfer through a piece of Celotex 3 ft by 8 ft by 1 in. in thickness, if the temp of one surface is 80°F and of the other side is 60°F? thermal conductivity of Celotex in AES = 0.028. Pls determine the temperature gradient and the direction of the heat transfer as well.1. A beverage cooler is in the shape of a cube, 42 cm on each inside edge. Its 3.0-cm thick wall are made up of plastic (kr = 0.050 W/mK). When the outside temperature is 20°C, how much ice will melt each hour? Tice is 0°C. 2. One of the possible mechanisms of heat transfer in human body is conduction through body fat. Suppose that heat travels through 0.03 m of fat in reaching the skin, which has a total surface area of 1.7 m² and a temperature of 34°C. Find the amount of heat that reaches the skin in half an hour, if the temperature at the body, interior is maintained at the normal value 37°C ? Thermal conductivity of body fat is k = 0.2 J/sm°C. 3. The air in a room is at 25°C and outside temperature is 0°C. The window of the room has an area of 2m² and thickness 2mm. Calculate the rate of loss of heat by conduction through window ? Thermal conductivity for glass is 1 Wm¯'degree!.This question about heat transfer/liquid. A horizontal wire of circular cross section with a diameter of d=1 mm is heated with electric current, and 100W(q'=100W/m) heat energy is given to the wire from 1m length. The wire T∞ = temperature at 20 ° C, large, compared to that in a stagnant water body, locate the outer surface temperature of the wire.
- ricant An oil is acting as a lubricant for a pair of cylindrical surfaces such as those shown in 1. The angular velocity of the outer cylinder is 7908 rpmt. The outer cylinder has a radius of 5.06 cm, and the clearance between the cylinders is 0.027 cm. What is the maxi- mum temperature in the oil if both wall temperatures are known to be 158° F? The physical properties of the oil are viscosity density thermal conductivity 92.3 cp 1.22 g cm-3 0.0055 cal sec-1 cm-1 ° C-1Hot Air blows over steel plate with dimension (5000mm * 7.5m)), the steel plate temperature is 22'C, the convection heat-transfer coefficient is h= {25 W/m2- C}. Calculate the heat transfer? if you know that thermometer reader read air temperature is 492 KQ1) A polished metal pipe (8 cm) owtside diameter and 350 K temperature at the outer surface is exposed to ambient conditions at 285 K temperature. The emissivity of the surface is 0.3 and the convection coefficient of heat transfer is 13.5 Wim2-deg. What would be the overall coefficient of heat transfer by the combined mode of convection and radiation” Q2 find the pressure point (1) if the amospheric pressure is(70kpajihl =0 2,h2=0.4,h3=0. ‘)(p. =13600kg/m3. poil=850kg/m3)
- Q2: A: The exterior wall of a single-story office building near Chicago is 3 m high and 15 m long. The wall consists of 100-mm face brick, 40-mm polystyrene insulating board. 150-mm lightweight concrete block, and an interior 16-mm gypsum. The wall contains three single-glass of 3 mm thickness windows 1.5 m high by 2 m long. Calculate the heat loss through the wall at design conditions if the inside temperature is (20 °C). The outside temperature is (-18 "C).A water tank is completely filled with liquid water at 40°C. The tank material is such that it can withstand tension caused by a volume expansion of 5 percent. Determine the maximum temperature rise allowed without jeopardizing safety. Assume a volume expansion coefficient value at that of 65 °C. (Just write the numerical answer. Include - if the answer is negative. No need to put the unit.) Properties of saturated water Volume Specific Heat Jkg - K Thermal Conductivity k, Wim- K Prandti Enthalpy Dynamic Viscosity H. kg/m -s Expansion Coefficient Number Density P. kgim Saturation of Pr Temp. T, "C B. 1/K Liquid Pressure Vaporization P, kPa Liquid Vapor hg, k/kg Liquid Vapor Liquid Vapor Liquid Vapor Liquid Vapor 0.0171 1.792 x 103 0.0173 0.922 x 105 13.5 0.934 x 10-5 1.00 -0.068 x 10 3 1.00 1.00 0.01 0.6113 999.8 0.8721 0.0048 0.0068 2501 2490 2478 4217 4205 1854 0.561 0.571 1.519 x 10-3 1.307 x 10-3 0.946 x 10-5 1.138 x 10 3 0.959 x 10-5 1.002 x 10 3 0.973 x 105 999.9 1857 11.2 0.015…The first part of the question has been worked on, where the heat transfer was calculated to be 6.770 kilowatt, but the problem also asks to calculate the temperature of the outer most surface. What is the temperature of the outer most surface?
- A large 100-mm thick steel plate is initially at uniform temperature T = 180°C at time t = 0. Both sides of the plate are exposed to 30°C oil with convection coefficient h = 1500 W/m².K. The thermal conductivity, heat capacity, and density of the steel are k = 38 W/m-K, cp = 485 J/kg-K, and p = 7800 kg/m³. a) Find the temperature at the center of the slab when t = 125 s. b) Find the temperature at the surface of the slab when t=125 s.A food product with 80% moisture content in a 7 cm diameter can wants to be frozen. product density is 1000 kg / m³ thermal conductivity is 1.0 W / (m K) and initial freezing temperature is -2.25 degrees Celsius after 8 hours in freezing medium -35 degrees Celsius Temperature to -10 degrees Celsius estimate convection heat transfer coefficient freezing medium assume the can as an infinite cylinder h =A plane wall is insulated on its left side (? = 0). The wall generates energy uniformly at arate of ?̇ [W m 3⁄ ] and has thermal conductivity ?. On its right side (? = ?), the wall is exposedto a fluid at temperature ?" with convection coefficient ℎ.a) Draw a schematic of this plane wall. Make the schematic large enough that you cansketch the temperature profile within the wall after solving for it in later steps.b) Write out the full form of the Heat Diffusion Equation (HDE) in the appropriatecoordinate system for this physical scenario. Simplify the HDE and write out theappropriate boundary conditions in their general form (e.g., ?| #$% = ?& ).c) Derive an expression for the steady-state temperature distribution ?(?) within thewall. You may start from the general solution provided in Appendix C of the Bergmantextbook; or you may derive the solution directly from the differential equation andthe boundary conditions. Annotate your schematic by sketching the temperatureprofile…