In an annealing process, a 50-mm-thick stainless steel plate (p = 8238 kg/m, cp = 468 J/kg-K, k= 13.4Wim-K, and a= 3.48 106 m2/s) was reheated in a furnace from an initial uniform temperature of 230°C.The ambient temperature inside the furnace is uniform at 1000°C, and the convection heat transfercoefficient is 215 W/m2.K. If the entire stainless steel plate is to be heated to at least 61O'C, determine thetime that the plate should be heated in the furnace using the analytical one-term approximation method.The time that the plate should be heated in the furnace is

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Answered: In an annealing process, a 50-mm-thick…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter3: Transient Heat Conduction

Section: Chapter Questions

Problem 3.12P

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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.
4- Carbon steel balls 8 mm in diameter are annealed by heating them first to 900°C in a furnace and then allowing them to cool slowly to 100°C in ambient air at 35°C. If the average heat transfer coefficient is 75 W/m -°C, determine how long the annealing process will take. If 2500 balls are to be annealed per hour Given: Carbon steel [k = 54 W/m.°C, p = 7833 kg/m, and C,= 0.465 kJ/kg. °C. and a= 1.474x 10* m²/s] Air, 35°C Fumace Steel ball 100°C 900°C
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A long 35 cm diameter cylinder made of stainless steel 304 (k = 14.9 W/mo C, r = 7900 kg/m3 , Cp = 477 J/kgo C and a = 3.95´10-6 m2 /s) comes out of an oven at a uniform temperature of 400o C. The cylinder is then allowed to cool slowly in a chamber at 150o C with average convection heat transfer coefficient of h = 60 W/m2oC. Determine the temperature at the center of the cylinder 20 min after the start of the cooling process. Also, determine the heat transfer per unit length of the cylinder during this time period.
water 4-26 Steel rods (p = 7832 kg/m³, c, = 434 J/kg-K, and k = 63.9 W/m-K) are heated in a furnace to 850°C and then quenched in a bath at 50°C for a period of 40 s as part of a hardening process. The convection heat transfer coefficient is 650 W/m²K. If the steel rods have diameter of 40 mm and length of 2 m, determine their average temperature when they are taken out of the water bath.
4-38 Carbon steel balls (p = 7833 kg/m2, k = 54 W/m K, c = 0.465 kJ/kg°C, and a 1.474 - 10-6 m2/s) 8 mm in diameter are annealed by heating them first to 900°C in a furnace and then page 300 allowing them to cool slowly to 100°C in ambient air at 35°C. If the average heat transfer coefficient is 75 W/m2-K, determine how long the annealing process will take. If 2500 balls are to be annealed per hour, determine the total rate of heat transfer from the balls to the ambient air. FIGURE P4-38 Air, 35°C Furnace Steel ball 100C 900°C
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?
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A 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.
Steel rods (1% carbon) that are 1.5 m long and 2 cm in diameter are heated in a furnace to850°C and then quenched in a water bath at 50°C for 40 s as part of a hardening process. Given the convective heattransfer coefficient is 750 W/m2K, find the average temperature of the rods when they are taken out of the bath.Show that lumping the rods is appropriate.
Steel rods (p = 7832 kg/m2, cn= 434 J/kg.K, and k = 63.9 W/m-K) are heated in a furnace to 850°C and then quenched in a water bath at 50°C for a period of 55 seconds as part of a hardening process. The convection heat transfer coefficient is 650 W/m2.K. If the steel rods have diameter of 40 mm and length of 2 m, determine their average temperature when they are taken out of the water bath. (Round off the answer to 1 decimal point.) °C
I need help on solving this question: A steel plate having a thickness of 100 mm is suddenly exposed to a hot gas at 1000 oC ina furnace. One surface of the plate is heated while the other surface of the plate can beapproximated to be adiabatic. The initial temperature of the steel plate is 20 oC. The thermalconductivity and thermal diffusivity of the steel plate are 34.8 W/m K and 0.555 x 10-5 m2/srespectively. The convective heat-transfer coefficient is 174 W/m2 K. (The pictures are the conduction charts given) a) Find the time necessary to raise the surface temperature of the steel plate to 500 oC. b) Find the maximum temperature difference in the cross-section of the steel plate at the time evaluated in part a). c) Determine the heat energy transferred to the steel plate per unit wall surface area by the time evaluated in part a).

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