Consider a long, pure iron rod with a diameter of 2 cm and at an initial uniform temperature of 27 C. It is suddenly heated by uniform and constant convection with T_inf = 227 C and h_inf = 200 W/m^2 K. Ignoring radiation, determine the center temperature of the rod after 45 seconds.
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Consider a long, pure iron rod with a diameter of 2 cm and at an initial uniform temperature of 27 C. It is suddenly heated by uniform and constant convection with T_inf = 227 C and h_inf = 200 W/m^2 K. Ignoring radiation, determine the center temperature of the rod after 45 seconds.
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- 1.60 Two electric resistance heaters with a 20 cm length and a 2 cm diameter are inserted into a well-insulated 40-L tank of water that is initially at 300 K. If each heater dissipates 500 W, what is the time required for bringing the water temperature in the tank to 340 K? State your assumption for your analysis.A long cylindrical rod has a 20-cm-diameter at a uniform temperature of 600°C. The rod is then allowed to cool slowly in a room at 200°C with a heat transfer coefficient of 80 W/m² °C. Calculate the temperature at the center of the rod 45 min after the start of the cooling process. Also, determine the heat transfer per unit length of the rod during this time period.A hollow aluminum cylinder 16.5 cm deep has an internal capacity of 2.000 L at 23.0°C. It is completely filled with turpentine at 23.0°C. The turpentine and the aluminum cylinder are then slowly warmed together to 75.0°C. (The average linear expansion coefficient for aluminum is 2.4 10-5 °C−1, and the average volume expansion coefficient for turpentine is 9.0 10-4 °C−1.) How much turpentine overflows?
- based on a large 4 cm thick plate that is initially at a uniform temperature of 20°C that is heated by passing it through a space maintained at 500°C. The plate remains in the space for a period of 7 min. Take the heat transfer coefficient to be 120-W/m2°C. Example 4-4 [k = 110-W/m°C, r = 8530-kg/m³, C, = 0.380-kJ/kg°C, a = 33.9 x 10-6 m²/s] The dimensionless distance from center to a point 0.4-cm below the outer surface is 0.5 0.8 none of the above 0.2A long 20 cm diameter shaft made of stainless steel 304 comes out of an oven at a uniform temperature of 600°C. The shaft is then allowed to cool slowly in an environment at 200°C with an average heat transfer coefficient of h = 80 W/m².K. Determine [a] the temperature at the center of the shaft and [b] the temperature of the outer surface of the shaft 45 minutes after the start of the cooling Given: Find: Schematic: Assume: Property Data: k= 14.9 W/m°C p= 7900 kg/m³ Cp = 477 J/kg:K a= 3.95 x 10-6 m²/sA fabricated food, in the form of small spherical pellets, is to be frozen in an air-blast freezer. The air-blast freezer isoperating with air at -40°C. The initial product temperatureis 25°C. The pellets have a diameter of 0.5 cm, and the density of the product is 980 kg/m3. The initial freezing temperature is -2.5°C. The latent heat of fusion for this product is 280 kJ/kg. The thermal conductivity of the frozen productis 1.9 W/(m°C). The convective heat transfer coefficient is 50 W/(m2 °C). Calculate the freezing time.
- A long cylindrical rod has a 20-cm-diameter at a uniform temperature of 600°C. The rod is then allowed to cool slowly in a room at 200°C with a heat transfer coefficient of 80 W/m² °C. Calculate the temperature at the center of the rod 45 min after the start of the cooling process. Also, determine the heat transfer per unit length of the rod during this time period. Given: k=14.9 W/m.K, a = 3.95x10-6, m2/s p=7900 Kg/m3 Cp=0.477 KJ/Kg. °CQ2/ A 4-m-internal-diameter spherical tank made of 1.75-cm-thick stainless steel (k 15 W/m °C) is used to store iced water at 0°C. The tank is located in a room whose temperature is 35°C. The walls of the room are also at 35°C. The outer surface of the tank is black, and heat transfer between the outer surface of the tank and the surroundings is by natural convection and radiation. The convection heat transfer coefficients at the inner and the outer surfaces of the tank are 80 W/m2 °C and 10 W/m2· °C, respectively. Determine (a) the rate of heat transfer to the iced water in the tank and (b) the amount of ice at 0°C that melts during a l-h period. The heat of fusion of water at atmospheric pressure is hif 334 kJ/kg.A small copper wire with a diameter of 0.792 mm and initially at 366.5 K is suddenly immersed in a liquid held constant at 311 K. The convection coefficient h = 85.2 W/m2 · K. The physical properties can be assumed constant and are k = 374 W/m · K, cp = 0.389 kJ/kg · K, and ρ = 8890 kg/m3. Determine the time in seconds for the average temperature of the wire to drop to 338.8 K (one-half the initial temperature difference). Do the same but for h=11.36W/m2·K. Forpart(b),calculate the total amount of heat removed for a wire 1.0 m long.
- A 50 cm x 50 cm copper slab, 6 mm thick at a uniform temperature of 350°C suddenly has its surface temperature lowered to 30°C. Find the time at which the slab temperature becomes 100°C. h = 100 W/m2 °C. Also, find the rate of cooling after 60 seconds.A spherical pellet (ρ =1000 kg/m3 , c = 1000 J/(kg⋅K)) with a radius ro = 1 cm is cooled from an initial temperature of 200°C by immersion in water bath at 10°C with a convection coefficient h = 100 W/(m2 K). Evaluate the temperature in the center and on the surface of the pellet after 10 s of immersion for two cases: (a) Thermal conductivity of the pellet k = 0.1 W/(m⋅K) (b) Thermal conductivity of the pellet k = 5 W/(m⋅K)A cylinder made of silver with radius of 0.750 mm, 500 mm in length and initially at 455 K is suddenly immersed in a hot liquid at 955 K. The convection coefficient is 100 W/m2·K. Determine the time in seconds for the average temperature of the silver to reach 900 K. For silver, ρ = 10.49 g/cm3, k = 424 W/m·K, cp = 0.237 J/g·°C.
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