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- 1.63 Liquid oxygen (LOX) for the space shuttle is stored at 90 K prior to launch in a spherical container 4 m in diameter. To reduce the loss of oxygen, the sphere is insulated with superinsulation developed at the U.S. National Institute of Standards and Technology's Cryogenic Division; the superinsulation has an effective thermal conductivity of 0.00012 W/m K. If the outside temperature is on the average and the LOX has a heat of vaporization of 213 J/g, calculate the thickness of insulation required to keep the LOX evaporation rate below 200 g/h.A slender rod of length L, diameter d (L >> d) and thermal conductivity k1 is joined with another rod of identical dimensions, but of thermal conductivity k2, to form a composite cylindrical rod oflength 2L. The heat transfer in radial direction and contact resistance are negligible. Find the effectivethermal conductivity of the composite rod.A certain material has a thickness of 30 cm and a thermal conductivity of 0.04 W/m- °C. At a particular instant in time, the temperature distribution with x, the distance from the left face, is T = 150x ^ 2 - 30x , where x is in meters. Calculate the heat-flow rates atx x = 0 and x = 30 cm . Is the solid heating up or cooling down?
- A glass window with an area of 0.625 m² is installed in the wooden outside wall of a room. The wall dimensions are 25 x 3.05 m. The wood has a k of 0.151W/m.K and is 3.05 cm thick. The glass has a k of 0.692W/m.K and is 5.0 mm thick. The temperature of the inside room is 27°C and outside air temperature is 268K. Find the heat loss through wooden wall and the glass window ?A hot water flowing in a 50 mm inside diameter, 60 mm outside diameter pipe have a temperature of 50℃. The surface conductance of hot water is 6.0W/(m^2℃) and the thermal conductivity of pipe is 8.5W/(m℃). The outside fluid temperature is 30℃ with surface conductance of 2W/(m^2℃). Find the heat loss per meter of length?giving the following example, find the temperature distribution inside the apple after 1.05 hours, depending on the ditance from the center. Thank you
- (Picture of problem attached) A wood wall 2.5 m (» 8 ft) ´ 7 m (» 23 ft) ´ 2.5 cm (» 1 in) thick has thermal conductivity k = 0.1 W/Km. A. Find the R-value of the wall (in SI units, of course). B. If the inside and outside temperatures are 20°C and 5°C respectively, find the heat flow in watts passing through the wall. C. Now include the R-values of the air layers inside (Rin = 0.12 m^2 K/W) and outside (Rout = 0.06 m^2 K/W) the wall. Find the new heat flow. (Note: Just add all the R’s.) D. Add 10 cm of fiberglass (kf = 0.05 W/Km) to the wall. Find the R-value of the fiberglass layer. E. Find the heat flow through the wall in Watts, including air, wood, and fiberglass.Water at 100°C flows in a aluminum pipe with a distance 10m (0.1m insidediameter, 0.02m thick, k= 208 W/m°C). What is the heat transfer through the pipe when inside temperature is 100 °C and outside is 25 °C?A solid rod has a temperature profile described by the equation T= 5x+100 (K) and a thermal conductivity of k=10 (W/m*K) What is the heat flux, q?
- There is a long cylinder inside an oven and we are using lumped capacitance method to find the temperature at its extremes. The temperature at the centre of the cylinder is 1000 C, what will be the temperature at its one end where it is away from heat source according to our calculations? not sufficient information more than 1000 C equal to 1000 C less than 1000 CA cylindrical electrical heating element is used to heat up a baking oven. The heating element bears a voltage of 120 V/m, and has an electrical resistance of 1000 Ω/m. A ceramic pipe of inside radius rin = 2 mm, and outside radius rout = 5 mm encases the heating element. Thermal conductivity of the ceramic is k = 0.2 W/m-K. Given that the oven air temperature is T∞ = 180oC and convection coefficient h = 10 W/m2-K, find the temperature on the inside of the ceramic pipe.The heat loss from a fin is 6 W . The effectiveness and efficiency of the fin are 3 and 0.75 respectively . Find the heat loss from the fin, keeping the entire fin surface at base temperature?