A 4 cm sphere of AISI 316 Stainless Steel begins at 750K. It is cooled by a water spray at 360K with convection coefficient of 1600 W/m?K. Determine the center temperature, the temperature 1 cm from the surface, and the fractional energy loss at: a. 30 seconds b. 10 minutes
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- 5.10 Experiments have been performed on the temperature distribution in a homogeneous long cylinder (0.1 m diameter, thermal conductivity of 0.2 W/m K) with uniform internal heat generation. By dimensional analysis, determine the relation between the steady-state temperature at the center of the cylinder , the diameter, the thermal conductivity, and the rate of heat generation. Take the temperature at the surface as your datum. What is the equation for the center temperature if the difference between center and surface temperature is when the heat generation is ?1.3 A furnace wall is to be constructed of brick having standard dimensions of Two kinds of material are available. One has a maximum usable temperature of 1040°C and a thermal conductivity of 1.7 W/(m K), and the other has a maximum temperature limit of 870°C and a thermal conductivity of 0.85 W/(m K). The bricks have the same cost and are laid in any manner, but we wish to design the most economical wall for a furnace with a temperature of 1040°C on the hot side and 200°C on the cold side. If the maximum amount of heat transfer permissible is 950 , determine the most economical arrangement using the available bricks.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.
- 1.77 Explain each in your own words. (a) What is the mode of heat transfer through a large steel plate that has its surfaces at specified temperatures? (b) What are the modes when the temperature on one surface of the steel plate is not specified, but the surface is exposed to a fluid at a specified temperature?Q4/ A room on the second floor of a house with a balcony has a door. The door made of teak (wood) and it contains a large sheet of glass (outside winter type) in the middle and constitutes 80% of the area of the door. Door thickness is 40 mm and the temperature in the room 25. °C when the temperature is in the balcony 8 °C. Calculate the rate of heat loss from the room to the balcony through the door. The door dimensions 2m x 1m. Assume Inside and outside still air thermal resistance f= 8.29 W/m2 °C and f. 34.1 W/m2 °C respectivelyWrite legibly, provide manual step by step solution, and diagram for below given problem. The heat transfer across a 5” wall of firebrick is 500 W/m2. If the surface temperature on cold side is 30oC and thermal conductivity of brick is 0.7 Btu/hr-ft-oF, find the temperature on hot side.
- Completely solve and box the final answer. Write legibly 3. Determine the heat loss in KW of a vertical furnace made up of inner wall of firebrick 28 cm thick followed by insulating brick 18 cm thick and an outer wall of steel 1.5 cm thick. Surface temperature of the wall adjacent to the combustion chamber is 895ºC while that of the outer surface of steel is 42ºC. Use a thermal conductivity of wall in W/m-ºK for firebrick, insulating brick and steel to be 14, 0.92, and 52 respectively. The cross section is 2.5 m x 7.5 m.You are tasked to design a cooling system for an ice rink. A standard ice rink has surface area ofArink = 1580 m2 . In this design, a technologically advanced solid state thermoelectric generatingcooling plate is placed in between concrete slabs. The following diagram contains the dimensionalparameters of the design (a) In the space below, with your best effort to correspond to the above diagram, draw a thermalcircuit that establishes the relationship between the cooling plate’s heat rate, Q, and the system’stemperatures and thermal resistances. Label the appropriate dimensions, thermal conductivities,convection coefficient, and temperatures. Ignore effects from contact resistance. (b) Given that the temperature at the top surface of the ice must be T ice = -5°C, obtain the requiredheat rate Q that must be drawn by the cooling plate in units Kilowatts. Be careful of +/- sign.Answer: ____________________________ [kW] c) Using the thermal circuit you established in Part (a), obtain the…2. In determining the thermal conductivity of a plateflat insulator, the temperature was measured on both sides of the 25 mm thick plate and gave the results of 318.4 K and 303.2 K. FluxThe measured heat is 35.1 W.m-2. Illustrate the problem in a simple schematic/drawing, then calculate the thermal conductivity inbtu/h.ft.oF and in W/m.K! (0.033 ; 0.058) 3. A coil-shaped cooling pipe is made of SS-304 material. This pipe is 1 ft long, 0.4 inch outside diameter, and inch inside diameter. This coil cooling pipe is used to cool the water in the bath. The temperature of the inner coil pipe is 40oF while the outer coil in contact with water is 80oF. The thermal conductivity of SS-304 is a function of temperature where k(T) = 7.75 + (7.78 x 10-3).T where k is in Btu/h.ft.oF and T is in oF. Calculate the rate of heat dissipation in watts! (1287.7)
- LTE !!:: خاص A docs.google.com Q2/ An aluminum sphere weighting 7kg and initially at a temperature of 533K is suddenly immersed in a fluid at 283K. if heat transfer coefficient between the sphere and fluid is 50W/m?.°C. Take density=2707kg/m3, specific heat=0.9KJ/kg.°C and thermal conductivity= 204W/m °C. Your answer Determine the Bi number 0.00696 0.000696 0.0052 0.00052 Other: Determine the time required to cool sphere to 263K. * 26.28min 262.8min 52.56 min 525.6 min Other: 2 Request edit access SubmitI want the calculation for this expiremnt Note: the unit of thermal conductivity w/m.kThe schematic below illustrates a tank formed from two zones, i.e. liquid and solid. The tank is heated from the left-side with a time-varying solar heat radiation g,ol =f(t) (Wim), while the right-side is kept at a low temperature T. The top surface of the tank is subjected to the ambient conditions, i.e. (hair & Tair ), while its bottom is thermally insulated. Conjugate heat transfer takes place between the two-physically different zones through the fluid-solid interface separating them, while fluid flow is induced due to buoyancy effects where the buoyancy force is approximated according to Boussinesq formulation Fiuoyaney=P0 Bg(T-To). Explain the following: 1- The assumptions required to simulate the below problem. 2- The conservation equations governing the transport phenomena in each zone. 3- The boundary conditions closing the mathematical model. 4- The discretized form of each conservation equation stated in (point 2) above. 5- The appropriate differencing scheme to be used for…