A long steel bar with a diameter of 4 cm (ρ = 7840 kg / m3...
A long steel bar with a diameter of 4 cm (ρ = 7840 kg / m3 , cp = 580 J / kg ° K, k = 52 W / mK, α = 1.21x10-5 m2 / s), internal enters the 2 m long moving belt heat treatment furnace at ambient temperature of 900 ° C at 40 ° C. Since the film coefficient in the oven is 100 W / m2K, the center axis temperature of the bar at the oven exit is 60 ° C. in order to be
a.) Find the elapsed time.
b.) Find the transition speed (band speed) of the steel rod.
Homework Answers
Оооо оооо оооо оооо т. Steel bar A steel bar, 80 mm in diameter and 200...
Оооо оооо оооо оооо т. Steel bar A steel bar, 80 mm in diameter and 200 mm long, with an emissivity of 0.6, is removed from a furnace at 455ºC and suddenly submerged in a quiescent water 9 bath under atmospheric pressure. Assume evaporation of saturated water at 1 atm to saturated (not D superheated) steam. L Estimate the initial heat transfer rate from the bar, 9, Properties of saturated water at 100°C at 277.5°C P. (kg/m²) = 957.9 P...
QUESTION TWO Carbon steel balls (p 7833 kg/m3, k-54 W/m K, cp 0.465 kJ/kg.0C and a-1.474...
QUESTION TWO Carbon steel balls (p 7833 kg/m3, k-54 W/m K, cp 0.465 kJ/kg.0C and a-1.474 x 10-6 m2/s) 10 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/m2 K, determine how long the annealing process will take. If 2500 balls are to be annealed per hour, determine the total rate of...
Problem 2: A stainless steel rod (k-21 W/m-K, p-8000 kg/m3, C,,-570 J/kg-K) with diameter D-10 mm is heat-treated as it...
Problem 2: A stainless steel rod (k-21 W/m-K, p-8000 kg/m3, C,,-570 J/kg-K) with diameter D-10 mm is heat-treated as it passes through a furnace at a speed of 2 cm/s. The furnace has a convection coefficient of 80 W/m2-K and an air temperature of 900°C. The furnace is 3 m long, and the stainless steel enters at 20°C. (a) Using a control volume of length S traveling with the rod, develop a differential equation for the rate of change of...
Problem 2. A long 6.5 cm diameter solid cylinder steel (K 16.3 W/m. K,p 7817 kg/m3,...
Problem 2. A long 6.5 cm diameter solid cylinder steel (K 16.3 W/m. K,p 7817 kg/m3, Cp 460 J/kg.k). It's initially at a uniform temperature of T 150°C. It is suddenly exposed to a convection environment with h-285 W/m2 K and Too 50°C. Calculate the temperature at 1.) the axis of the cylinder, and 2.) a 2.5 cm radial distance after 5 min of exposure to the cooling flow. (20%)
Water enters a 5-mm diameter and 13-m long tube at 15 °C with a velocity of...
Water enters a 5-mm diameter and 13-m long tube at 15 °C with a velocity of 0.3 m/s and leaves at 45 °C. The tube is subject to a uniform heat flux of 2000 W/m2. Assume the following properties of water: p = 996 kg/m3, Cp = 4178 J/kg.K, K = 0.615 W/m.K. u = 0.798 x 10-kg/mus. Pe=5.42. (7) What is the average convective heat transfer coefficient considering the entire length of the pipe? (a) 791 W/m2K (b) 681...
4. A long square steel bar 2L - 7 cm wide by 21 - 7 cm...
4. A long square steel bar 2L - 7 cm wide by 21 - 7 cm high having a thermal conductivity k, = 14 W/n'c and a thermal diffusivity a 3.63x10 m/s is hot rolled at T. - 615°C and then cooled by air issuing from jets at T. -30°c. After t - 287 s have elapsed, the temperature at the center of the bar T(0,0,t) - 240c and the temperature at the corners of the bar T(L,Lt) - 125c....
3. Applesauce at a food processing plant exits a tank at an initial temperature of 90°C....
3. Applesauce at a food processing plant exits a tank at an initial temperature of 90°C. It flows through a 6 m section of 40 mm diameter pipe at speed of 1 cm/sec. The pipe is wrapped in 5 mm of insulation (k 0.3 W/mK), and has an inside heat transfer coefficient of hi = 100 W/m2K and an outside heat transfer coefficient of 8 W/m2K. losing heat to the environment at To10°C. The applesauce next enters a 1 m...
4- A steel strip of thickness 6-12 mm is annealed by passing it through a large fumace whose wall...
4- A steel strip of thickness 6-12 mm is annealed by passing it through a large fumace whose walls are maintained at a temperature Tw corresponding to that of combustion gases flowing through the fumace (Iw Tp). The stip, whose density, spcific thermal conductivity, and emissivity are 79 kg/m3, cp -640 J/kg K, k 30 W/m K and 0.7, respectively, is to be heated from 300°C to 600°C Furnace walls, Combustion gases For a unifom convection coefficient of h-100 W/m2...
Q3. A very long horizontal cylinder of Unobtainium, of diameter 100 mm, is initially at a...
Q3. A very long horizontal cylinder of Unobtainium, of diameter 100 mm, is initially at a uniform temperature of 500 K. The cylinder is cooled by a fan. The fan blow airs, with a temperature of 300 K, over the cylinder at a velocity of 6 m/s in a direction perpendicular to the axis of the cylinder. Calculate a) the average convective heat transfer coefficient at the beginning of the cooling process when the initial temperature of the cylinder is...
Steel is sequentially heated and cooled (annealed) to relieve stresses and to make it less brittle....
Steel is sequentially heated and cooled (annealed) to relieve stresses and to make it less brittle. Consider a 100-mm-thick plate (k = 45 W/m.K, p= 7800 kg/m3, cp = 500 J/kg.K) that is initially at a uniform temperature of 180°C and is heated (on both sides) in a gas-fired furnace for which T. = 700°C and h= 500 W/m2.K. How long will it take for a minimum temperature of 550°C to be reached in the plate? sec. It will take...
Оооо оооо оооо оооо т. Steel bar A steel bar, 80 mm in diameter and 200 mm long, with an emissivity of 0.6, is removed from a furnace at 455ºC and suddenly submerged in a quiescent water 9 bath under atmospheric pressure. Assume evaporation of saturated water at 1 atm to saturated (not D superheated) steam. L Estimate the initial heat transfer rate from the bar, 9, Properties of saturated water at 100°C at 277.5°C P. (kg/m²) = 957.9 P...
QUESTION TWO Carbon steel balls (p 7833 kg/m3, k-54 W/m K, cp 0.465 kJ/kg.0C and a-1.474 x 10-6 m2/s) 10 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/m2 K, determine how long the annealing process will take. If 2500 balls are to be annealed per hour, determine the total rate of...
Problem 2: A stainless steel rod (k-21 W/m-K, p-8000 kg/m3, C,,-570 J/kg-K) with diameter D-10 mm is heat-treated as it passes through a furnace at a speed of 2 cm/s. The furnace has a convection coefficient of 80 W/m2-K and an air temperature of 900°C. The furnace is 3 m long, and the stainless steel enters at 20°C. (a) Using a control volume of length S traveling with the rod, develop a differential equation for the rate of change of...
Problem 2. A long 6.5 cm diameter solid cylinder steel (K 16.3 W/m. K,p 7817 kg/m3, Cp 460 J/kg.k). It's initially at a uniform temperature of T 150°C. It is suddenly exposed to a convection environment with h-285 W/m2 K and Too 50°C. Calculate the temperature at 1.) the axis of the cylinder, and 2.) a 2.5 cm radial distance after 5 min of exposure to the cooling flow. (20%)
Water enters a 5-mm diameter and 13-m long tube at 15 °C with a velocity of 0.3 m/s and leaves at 45 °C. The tube is subject to a uniform heat flux of 2000 W/m2. Assume the following properties of water: p = 996 kg/m3, Cp = 4178 J/kg.K, K = 0.615 W/m.K. u = 0.798 x 10-kg/mus. Pe=5.42. (7) What is the average convective heat transfer coefficient considering the entire length of the pipe? (a) 791 W/m2K (b) 681...
4. A long square steel bar 2L - 7 cm wide by 21 - 7 cm high having a thermal conductivity k, = 14 W/n'c and a thermal diffusivity a 3.63x10 m/s is hot rolled at T. - 615°C and then cooled by air issuing from jets at T. -30°c. After t - 287 s have elapsed, the temperature at the center of the bar T(0,0,t) - 240c and the temperature at the corners of the bar T(L,Lt) - 125c....
3. Applesauce at a food processing plant exits a tank at an initial temperature of 90°C. It flows through a 6 m section of 40 mm diameter pipe at speed of 1 cm/sec. The pipe is wrapped in 5 mm of insulation (k 0.3 W/mK), and has an inside heat transfer coefficient of hi = 100 W/m2K and an outside heat transfer coefficient of 8 W/m2K. losing heat to the environment at To10°C. The applesauce next enters a 1 m...
4- A steel strip of thickness 6-12 mm is annealed by passing it through a large fumace whose walls are maintained at a temperature Tw corresponding to that of combustion gases flowing through the fumace (Iw Tp). The stip, whose density, spcific thermal conductivity, and emissivity are 79 kg/m3, cp -640 J/kg K, k 30 W/m K and 0.7, respectively, is to be heated from 300°C to 600°C Furnace walls, Combustion gases For a unifom convection coefficient of h-100 W/m2...
Q3. A very long horizontal cylinder of Unobtainium, of diameter 100 mm, is initially at a uniform temperature of 500 K. The cylinder is cooled by a fan. The fan blow airs, with a temperature of 300 K, over the cylinder at a velocity of 6 m/s in a direction perpendicular to the axis of the cylinder. Calculate a) the average convective heat transfer coefficient at the beginning of the cooling process when the initial temperature of the cylinder is...
Steel is sequentially heated and cooled (annealed) to relieve stresses and to make it less brittle. Consider a 100-mm-thick plate (k = 45 W/m.K, p= 7800 kg/m3, cp = 500 J/kg.K) that is initially at a uniform temperature of 180°C and is heated (on both sides) in a gas-fired furnace for which T. = 700°C and h= 500 W/m2.K. How long will it take for a minimum temperature of 550°C to be reached in the plate? sec. It will take...
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