Consider a large 3-cm-thick stainless steel plate in which heat is generated uniformly at a rate of 5 x 106W/m3. Assuming the plate is losing heat from both sides, determine the heat flux on the surface of the plate during steady operation.
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- A cubical piece of heat-shield-tile from the space shuttle measures 0.19 m on a side and has a thermal conductivity of 0.065 J/(s-m.C°). The outer surface of the tile is heated to a temperature of 1160°C, while the inner surface is maintained at a temperature of 18°C. (a) How much heat flows from the outer to the inner surface of the tile in 5.0 minutes? (b) If this amount of heat were transferred to 1.7 liters (1.7 kg) of liquid water, by how many Celsius degrees would the temperature of the water rise? (a) Number i (b) Number i 7 Units Units Heat flowConsider a 3-m-high, 6-m-wide, and 0.3-m-thick brick wall whose thermal conductivity is k = 0.8 W/m K. On a certain day, the temperatures of the inner and the outer surfaces of the wall are measured to be 14°C and 2°C, respectively. Determine the rate of heat loss through the wall on that day.A large cylindrical coffee pot in a coffee shop filled with 10.0 kg of hot coffee at temperature T = 95.0 ° C rests on a wooden table. The steel pot has radius r = 8.00 cm and height h = 50.0 cm and an emissivity e = 0.600. See figure. Assume that all heat loss is radiative through the side and top of the pot, given that wood is a relatively poor thermal conductor. The coffee shop ambient temperature T = 20.0 ° C. a) Find the rate at which the coffee losses heat. b) Assuming constant heat loss rate, what is the coffee temperature after 10.0 minutes have elapsed? Cw = 4.19 x 103 J/kg °C, ρw = 1.00 x 103 kg/m3, σ = 5.67 x 10 -8 W/m2 K4
- A glass windowpane in a home is 0.62 cm thick and has dimensions of 1.1 m × 1.7 m. On a certain day, the indoor temperature is 26°C and the outdoor temperature is 0°C. (a) What is the rate at which energy is transferred by heat through the glass? Answer in W (b) How much energy is lost through the window in one day, assuming the temperatures inside and outside remain constant? Answer in JOne end of a brass bar is maintained at 339 oC, while the other end is kept at a constant, but lower, temperature. The cross-sectional area of the bar is 2.05 × 10-4 m2. Because of insulation, there is negligible heat loss through the sides of the bar. Heat flows through the bar, however, at a rate of 2.78 J/s. What is the temperature of the bar at a point 0.207 m from the hot end?For heat transfer purposes, a standing man can be modeled as a 30-cmdiameter, 170-cm-long vertical cylinder with both the top and bottom surfaces insulated and with the side surface at an average temperature of 34°C. For a convection heat transfer coefficient of 15 W/m2 · °C, determine the rate of heat loss from this man by convection in an environment at 0°C.
- A 12-cm x 18-cm circuit board houses on its surface 100 closely spaced logic chips, each dissipating 0.06 W in an environment at 40°C. The heat transfer from the back surface of the board is negligible. If the heat transfer coefficient on the surface of the board is 10 W/m2.K, determine (a) the heat flux on the surface of the circuit board, in W/m2;The drawing shows a solid cylindrical rod made from a center cylinder of lead and an outer concentric jacket of copper. Except for its ends, the rod is insulated (not shown), so that the loss of heat from the curved surface is negligible. When a temperature difference is maintained between its ends, this rod conducts 1/9 the amount of heat that it would conduct if it were solid copper. Determine the ratio of the radii r₁/r₂. Number i Units Copper Lead