J 6 A semi-infinite solid, with a boundary condition of convection on the surface (Tfluid = 100°, h = 220 W/m2-°C) has at t=0s, a uniform temperature of Ti = 0°C, draw the isotherm of 60°C, at time t = 2h. Consider the solid to be cast iron.
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- Suppose that a rod of length 150 cm is immersed in steam untill it's temperature is uo =2720c.At time t = 0,its lateral surface is insulated and its two ends are imbedded in ice at 0°C.Calculate the rod's temperature at at point on the rod at a distance x-95cm after 32 seconds ,for thermal diffisuvity K3D0.005.P3. After a particularly cold night, Alice leaves a tub of water outside. You may consider the ground and air to have temperatures of Te = -10°C and Th = 10°C respectively. How thick is the layer of ice that forms at the bottom of the tub of water, after the tub has been left outside for a long time? The tub of water initially has a layer of water of thickness ho 10 cm. You may assume that the ground and air remain at a constant temperature throughout, and that the side lengths of the tub a, b » ho, i.e. the heat conduction is one- dimensional. Density of ice and water are pice = 920 kg/m³ and pw = 1000 kg/m³. Ice and water have thermal conductivities of kice = 2.22 W K-1 m' -1 and kw 0.556 W K-1 m' -1.A solid hemisphere of radius 5 cm to be cooled in air (at 20 o C, h=10 W/m 2 .K) from 200 oC to center of 150 oC, assume following sphere properties ρ=8500kg/m3, k=20W/m.K , C=400 J/kg.Ka. List assumptions and justify selected method of solution b. How long does it take to cool the hemisphere? c. What is the temperature of the surface at end of cooling?
- A chromel–constantan thermocouple measuring the temperature of a fluid is connected by mistake with copper–constantan extension leads (such that the two constantan wires are connected together and the copper extension lead wire is connected to the chromel thermocouple wire). If the fluid temperature was actually 250 C and the junction between the thermocouple and extension leads was at 90 C, what e.m.f. would be measured at the open ends of the extension leads if the reference junction is maintained at 0 C? What fluid temperature would be deduced from this (assuming that the connection error was not known)?How long should it take to boil an egg? Model the egg as a sphere with radius of 2.3 cm that has properties similar to water with a density of = 1000 kg/m3 and thermal conductivity of k = 0.606 Watts/(mC) and specific heat of c = 4182 J/(kg C). Suppose that an egg is fully cooked when the temperature at the center reaches 70 C. Initially the egg is taken out of the fridge at 4 C and placed in the boiling water at 100 C. Since the egg shell is very thin assume that it quickly reaches a temperature of 100 C. The protein in the egg effectively immobilizes the water so the heat conduction is purely conduction (no convection). Plot the temperature of the egg over time and use the data tooltip in MATLAB to make your conclusion on the time it takes to cook the egg in minutes.what two fundamental parameters of superfluid tell you if the superfluid is type one or type two?
- A:Find the amount of heat transferred through an iron fin of thickness 5 mm, length 10 cm and width 100 cm. Also determine the temperature difference e at the tip of the fin at: 1- adiabatic tip, 2-heat convection at the tip. Assuming the atmospheric temperature of 28°C K=50 w/mK, h=10 w/m’K, O,=80°C. B-Why is the dimensional heat flow assumption important in the analysis of fins problems? C- Why are the annular fins more efficiency than others?.Q4/The outside wall of a building 6 m high receives an average radiant heat flux from the sun of 1100 W/m². Assuming that 95 W/m² is conducted through the wall, estimate the outside wall temperature. Assume the atmospheric air on the outside of the building is at 20°C. Ans. 170°C19 mm diameter steel balls are quenched by heating to 989 K followed by slow cooling to 400 K in an environment with air at T∞ = 325 K and h = 39 W/m2.K. Assuming that the steel properties are k = 40 W/m.K, ρ = 7800 kg/m3 and C = 600 J/kg.K, estimate the time (in "minutes") required for the cooling process. Bolas de aço com 19 mm de diâmetro são temperadas pelo aquecimento a 989 K seguido pelo resfriamento lento até 400 K em um ambiente com ar a T∞ = 325 K e h = 39 W/m2.K. Admitindo que as propriedades do aço sejam k = 40 W/m.K, ρ = 7800 kg/m3 e C = 600 J/kg.K, estime o tempo (em "minutos") necessário para o processo de resfriamento.
- 3.4 Estimate the rate of heat loss due to radiation from a covered pot of water at 95 ° C. How does this compare with the 60 W that is lost due only to convection and conduction losses? What amount of energy input would be needed to maintain the water at its boiling point for 30 minutes? The polished stainless steel pot is cylindrical, 20 cm in diameter and 14 cm high, with a tight-fitting flat cover. The air temperature in the kitchen is about 25 ° C. State any assumptions you make in deriving your estimatesA machine element as seen in the figure is made of pure copper. It has an inner diameter of D;=2.9 cm, outer diameter of Do=5.9 cm, and height of H=19 cm. The initial temperature of the element is 749 K, and then suddenly placed in an environment which has a temperature of Too=300O K. The temperature of the element is measured as 489 K, 4.8 minutes after the cooling process. If the lumped system method is applicable, determine the heat transfer coefficient of the environment, in W/(m²K). Note: All the surfaces should be considered to calculate the surface area. Not: Yüzey alanı hesaplamak için tüm yüzeyler dikkate alınmalıdır. Properties of pure copper: k=370 W/(mK), C=920 J/(kg°C), p=8933 kg/m³ H DịA 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…