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- An underwater sonar that maps the ocean bathymetry is encapsulated in a sphere with a diameter of 85 mm. During operation, the sonar generates heat at a rate of 300W. What is the sonar surface temperature when it’s located in a water column where the temperature is 15o C and the water current is 1 m/sec? The sonar was pulled out of the water without turning it off, thus, it was still working. The air temperature was 15o C and the air speed was 3 m/sec. What was the sonar surface temperature? Was there any reason for concern?-1. Natural Convection from an Oven Wall. The oven wall in Example 15.5-1 is insu- lated so that the surface temperature is 366.5 K instead of 505.4 K. Calculate the natural convection heat-transfer coefficient and the heat-transfer rate per m of width. Use both Eq. (15.5-4) and the simplified equation. (Note: Radiation is being neglected in this calculation.) Use both SI and English units.= A long rod of 60-mm diameter and thermophysical properties p 8000 kg/m³, c C = 500 J/kg-K, and k = 50 W/m-K is initially at a uniform temperature and is heated in a forced convection furnace maintained at 750 K. The convection coefficient is estimated to be 1000 W/m².K. What is the centerline temperature of the rod when the surface temperature is 570 K? The centerline temperature of the rod is i K.
- Stainless steel (AISI 304) ball bearings, which have been uniformly heated to 850°C, are hardened by quenching them in an oil bath that is maintained at 40°C. The ball diameter is 12.5 mm, and the convection coefficient associated with the oil bath is 1000 W/m².K. (a) If quenching is to occur until the surface temperature of the balls reaches 100°C, how long, in s, must the balls be kept in the oil? What is the center temperature, in °C, at the conclusion of the cooling period? (b) If 10,000 balls are to be quenched per hour, what is the rate at which energy must be removed, in kW, by the oil bath cooling system in order to maintain its temperature at 40°C? Evaluate the properties of the stainless steel (AISI 304) at 500 K. Part A If quenching is to occur until the surface temperature of the balls reaches 100°C, how long, in s, must the balls be kept in the oil? What is the center temperature, in °C, at the conclusion of the cooling period? t = T₁ = i i S °℃Small potato balls of 0.5 cm radius (can be approximated as a sphere) baked in the oven and initially at a uniform temperature of 160°C. Assume, potatoes have a density of 650 kg/m, specific heat of 3400 J/kgK and conductivity of 1 W/mK. You want to eat potatoes quickly without burning your tongue so that you have decided to cool them down with forced convection. Air h, T. hot potato initially Air temperature is 20°C and the convective heat transfer coefficient is 140 W/m?K. Calculate the time (in seconds) required for its surface temperature to drop 90°C.Small potato balls of 0.5 cm radius (can be approximated as a sphere) baked in the oven and initially at a uniform temperature of 160°C. Assume, potatoes have a density of 650 kg/m³, specific heat of 3400 J/kgK and conductivity of 1 W/mK. You want to eat potatoes quickly without burning your tongue so that you have decided to cool them down with forced convection. Air h, T. hot potato initially Air temperature is 20'C and the convective heat transfer coefficient is 140 W/m²K. Calculate the time (in seconds) required for its surface temperature to drop 90°C. Round the value you calculated and write it as an integer!! For example, if you find 8.2, write is as 8. Answer:
- 2.2: Water at a temperature of T∞= 25°C flows over one ofthe surfaces of a steel wall (AISI 1010) whose temperatureis Ts,1= 40°C and thermal conductivity of steel is 671 w/m.k. The wall is 0.35 m thick, and itsother surface temperature is Ts,2= 100°C. For steadystateconditions what is the convection coefficient associatedwith the water flow?The rear window of an automobile is defogged by pass- ing warm air over its inner surface. (a) If the warm air is at T ,i 40 C and the correspond- ing convection coefficient is hi 30 W/m2 K, what are the inner and outer surface temperatures of 4-mm-thick window glass, if the outside ambient air temperature is T ,o 10 C and the associated con- vection coefficient is ho 65 W/m2 K? In practice T ,o and ho vary according to weather conditions and car speed. For values of ho 2, 65, and 100 W/m2 K, compute and plot the inner and outer surface temperatures as a function of T ,o for –30 T ,o 0 C.For the Convective Heat Transfer experiment, describe the difference in the procedures: Natural or FreeConvection and Forced convection. What makes the FORCED convection experiment as FORCED? Explain which, in your consideration should give the higher heat transfer rate? And REASON why? Did your results support your consideration?
- At the end of its manufacturing process, a silicon wafer of diameter d= 258 mm , thickness & =1 mm is at an initial temperature of 325 C and is allowed to cool in quiescent, ambient air and large surroundings for which T =T= 25 C, What is the initial rate of cooling by convection (kJ/s) from the Lower surface ONLY (Watts)? 3 Silicon :p= 2330 kg/m , c̟ = 813 J/kg K, k = 87.8 W/m · K. -6 Air: v = 32.15×10 m /s, k = 0.0372 W/m· K, a = 46.8 ×10 0.686, m /s, Pr = Quiescent air T Tsur Silicon wafer D, 8, e, T Select one:Ziea euA adousaues: erau si 9 2 Heat of Respiration of a Food Product. A fresh-food product is held in cold stor- age at 278.0 K. It is packed in a container in the shape of a flat slab with all faces insulated except for the top flat surface, which is exposed to the air at 278.0 K. For estimation purposes, the surface temperature will be assumed to be 278 K. The slab is 152.4 mm thick and the exposed surface area is 0.186 m2. The density of the food- stuff is 641 kg/m2. The heat of respiration is 0.070 kJ/kg h and the thermal conduc- tivity is 0.346 W/m K. Calculate the maximum temperature in the food product at steady state and the total heat given off in W. (Note: It is assumed in this problem that there is no air circulation inside the foodstuff. Hence, the results will be conser- vative, since circulation during respiration will reduce the temperature.) /1 116 mm in diameter mild steel sphere initially at 6000 C is exposed to a current of air at 300C with a convection coefficient of 90 W/m2.K. Calculate the time required to cool thesphere to 1000 C, Initial rate of cooling in 0C/s, Instantaneous heat transfer rate at the endof one minute after the start of cooling, and total energy transferred during the first oneminute. Take properties of mild steel as k = 43 W/m.K, C = 474 J/kg.K, ρ = 7850 kg/m3,α = 0.045 m2/s