-896 J/Kg.K) initially at uniform temperature of 500 C is suddenly placed in a fluid at 5'C. The convection heat transfer coefficient is 15 W/m. C. ) Calculate the time required for the cylinder to attain a temperature of 200. Use mped system analysis.
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- 3.10 A spherical shell satellite (3-m-OD, 1.25-cm-thick stainless steel walls) re-enters the atmosphere from outer space. If its original temperature is 38°C, the effective average temperature of the atmosphere is 1093°C, and the effective heat transfer coefficient is , estimate the temperature of the shell after reentry, assuming the time of reentry is 10 min and the interior of the shell is evacuated.A 0.6-cm diameter mild steel rod at 38C is suddenly immersed in a liquid at 93C with hc=110W/m2K. Determine the time required for the rod to warm to 88C.The interior wall of a large, commercial walk-in type meat freezer is covered under normal operating conditions with a 2-cm thick layer of ice. One day, a power outage cuts electricity to the refrigeration system of the freezer. Estimate the time required to melt this layer of ice if it has a mass density of 700kg/m3 and a latent heat of fusion of 334 kJ/kg. Consider the air temperature inside the freezer to be 20C with a heat transfer coefficient of 2W/m2K for convection from the freezer surface to air, and clearly state the assumptions made in your calculations.
- The handle of a ladle used for pouring molten lead is 30 cm long. Originally the handle was made of 1.9cm1.25cm mild steel bar stock. To reduce the grip temperature, it is proposed to form the handle of tubing 0.15 cm thick to the same rectangular shape. If the average heat transfer coefficient over the handle surface is 14 W/m K, estimate the reduction of the temperature at the grip in air at 21C.1.79 Consider the cooling of (a) a personal computer with a separate CPU and (b) a laptop computer. The reliable functioning of these machines depends on their effective cooling. Identify and briefly explain all modes of heat transfer involved in the cooling process.ure f) A steel disc (k = 56.7 W/m.K, p = 7854 kg/m³, c = 487 J/kg. K) 30 cm in diameter and 10 cm thick, initially at uniform temperature of 265 °C is immersed in liquid at -15 °C. The convective coefficients on ends and on cylindrical side are 340 and 1420 W/m².K, respectively. What is the temperature at (a) center of disc, and (b) surface at centre of one end (c) Calculate heat transfer after 5 min have elapsed.
- 3. A food product with 80% moisture content in a 7 cm diameter can wants to be frozen. The density of the product is 1000 kg / m³, the thermal conductivity is 1.0 W / (m K), and the initial freezing temperature is -2 ° C. After 11 hours in the freezing medium -30 ° C, the product temperature becomes -10 ° C. Estimate the convection heat transfer coefficient of the freezing medium. Assume the can as an infinite cylinder. h = Answer W / (m² K).Q1-A block as sphere made of Teflon initially at a temperature of 90 C is suddenly immersed in a fluid at 20 C. The convection heat- transfer coefficient is 15 W/m2 C. Determine the dimension of the block that it is just considered as lumped-capacity system. Calculate : (1) the time the center of the sphere reaches the half value of initial temperature and, (2) the heat loss from the block at that time.Example: . A steel ball [c-0.46 kJ/kg C, k-35 W/m. C] 5.0 cm in diameter and initially at a uniform temperature of 450°C is suddenly placed in a controlled environment in which the temperature is maintained at 100°C. The convection heat-transfer coefficient is 10 W/m². C. Calculate the time required for the ball to attain a temperature of 150°C. Solution: We anticipate that the lumped-capacity method will apply because of the low value of h and high value of k.We can check by using Equation (3.9): hLc B₁ = k 3 Lc = T 0.025 =-= = 0.00833 A₂ 4mr² 3 3 hle 10-0.00833 B₁ = = = 0.0023 < 0.1 k 35 The lumped system capacitance method is valid and can used. Therefore, may can use equation 3.4: t= pvc In 0₁ hAs 0 92 HEAT TRANSFER t = pvc In pvc Ti-Too hAs T-Too T = 150 °C, p = 7800 kg/m³. Too-100 °C, h=10 w/m².C. T₁-450 °C, c-460 J/kg. "C. pvc In Ti-Too t = hAs T-Too t= Pr³c In Ti-Too h4r² T-T t= 1 In Ti-To pre 3h T-T V -= = 7800+0.025-460 In 3.10 450-100 150-100 = 5818.3 s= 1.62 h 6
- A composite plane wall consisting of materials, 1.5-in steel (k = 312 BTU-in/HR.ft2.0F) and 2-in aluminum (k = 1400 BTU-in/HR.ft2.0F), separates a hot gas at Ti = 2000F, hi = 2 BTU/HR.ft2.0F, from cold gas at To = 80 deg F, ho = 5. If the hot fluid is on the aluminum side, find: a) Transmittance, U; b) The heat through 100 sq. ft of the surface under steady state condition and c) The interface temperature at the junction of the metals.An egg with mean diameter of 40 mm and initially at 20 °C is placed in a boiling water for (4min) and found to be boiled to consumers taste. For how long should a similar egg for same consumer be boiled when taken from a refrigerator at 5 °C. Take the following properties for egg: k = 10 Wim. °C and the heat transfer coefficient (h = 100 W/m. "C) .p= 1200 kJ / kg. "C, C = 2 kJ/ kg. "C,A closed room containing hot air is used to cool down slabs of asolid with a conductivity of 160 W/m*K, density of 2950 kg/m3), and a heat capacity of 920 J/kg*K). Each solid slab is 2 cm thick. Air circulates withing the room at 15 °C with a convection heat transfer coefficient of 200 W/m2*K. Do not assume steady heat transfer.(a) What is the final temperature of slabs upon leaving the room, if thetemperature of slabs before entering the room is 70 °C.(b) How much more time is needed for the temperature of the solid slabs to decrease by an additional 20 °C?