Example 7. The temperature distribution within the thermal boundary layer over a flat plate is as T ( y) = ay² + be. Here, a and b are constant and y is normal distance measured from the plate. If liquid flowing over the plate has temperature 25°C and K= 0.1W/m-K, then calculate the value of b. %3D Given, hocal = 2.0 W/m2-K, T. = 85°C %3D Jocal
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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.The air-conditioning system in a Chevrolet van for use in desert climates is to be sized. The system is to maintain an interior temperature of 20C when the van travels at 100 km/h through dry air at 30C at night. If the top of the van is idealized as a flat plate 6 m long and 2 m wide and the sides as flat plates 3 m tall and 6 m long, estimate the rate at which heat must be removed from the interior to maintain the specifiedHot water is being transported in a horizontal pipe (k = 0.15 W/m∙K, Di = 2.5 cm, Do = 4.5 cm), where the pipe inner surface temperature is at 100°C. A length of 2 m of the pipe outer surface is exposed to cool air at 12°C. Assuming that the properties of air can be evaluated at 40°C and 1 atm pressure, determine the outer surface temperature of the pipe. Is 40°C an appropriate film temperature for evaluation of the air properties?
- Air at 24°C is blown over a hot pipe with a surface area of 2.94 m2 to dissipate 924 W of heat energy. What is the minimum convection heat transfer coefficient that will ensure that the temperature of the pipe surface is less than 45°C [round your final answer to two decimal places]?Partially-frozen ice cream is being placed in a package before completion of the freezing process. The package has dimensions of 8 cm by 10 cm by 20 cm and is placed in air- blast freezing with convective heat coefficient of 50 W/(m2 K) for freezing. The product temperature is -5°C when placed in the package, and the air temperature is -25°C. The product density is 700 kg/m3, the thermal conductivity (frozen) is 1.2 W/(m K), and the specific heat of the frozen product is 1.9 kJ/(kg K). If the latent heat to be removed during blast freezing is 100 kJ/kg, estimate the freezing time.Calculate the heat losses per unit length in a horizontal tube with an outside diameter of 15 cm, if its surface is kept at 400 K AND the surrounding air has a temperature of 300 K and a pressure of 1 bar.The properties of air at a pressure of 1 bar and a film temperature of 350 K are: In this case, v = 20.76 x 10-6 m2/s , α = 0.2983 x 10-4 m2/s, k = 0.03003 W/mK, Pr = 0.697, β = 2.86 x 10-3 K-1
- A thermocouple junction, which may be approximated as a sphere, is to be used for temperature measurement in a gas stream. The convection coefficient between the junction surface and the gas is h=400W/m².K, and the junction thermophysical properties are ĸ= 20W/m.°K, c= 400J/kg.°K and ρ=8500kg/m³. Determine the junction diameter needed for the thermocouple to have a time constant of 1s. If the junction is at 25°C and is placed in a gas stream that is at 200°C, how long will it take for the junction to reach 199°C?Engine Oil at 58.95 degrees celsius Flows over a 5m long flat plate whose temperature is 20.11 degrees celsius with a velocity of 2.2m/s. Determine the rate of heat transfer (W), considering forced convection, per unit width of the entire plate. Density = 876kg/m^3 Thermal conductivity = 0.144W/m-K Pr = 2870 dynamic viscosity = 0.21kg/m-s Q = ?The nose section of the rocket is made up of a 6 mm thick stainless steel plate (p = 7800 kg/m°, c = 460 J/kg°C, k = 55 W/m°C). It is held initially at a uniform temperature of " T = 47°C. When the rocket enters the denser layers of the atmosphere at a very high velocity the effective temperature of the air surrounding the nose region attains the value 2150 °C; the surface convective heat transfer coefficient is estimated as 3395 W/m?°C. If the maximum metal temperature is not to exceed 1100°C, determine: (i) Maximum permissible time in these surroundings. (i) Inside surface temperature under these conditions.
- A long steel rod 0.305 m in diameter is initially at a temperature of 588 K. It is immersed in an oil bath maintained at 311 K. The surface convective coefficient is 125 W/m2 -K. Calculate the temperature at the center of the rod after 1 h. The average physical properties of the steel are k = 38 W/m-K and α = 0.0381 m2/h.. Castor oil at 36 °C flows over a 6 m long and 1 m wide heated plate at 0.06 m/s. For a surfacetemperature of 96 °C, determine (i) the thermal boundary layer thickness at the end of the plate,(ii) the local heat transfer coefficient at the end of the plate, and (iii) the rate of heat transfer fromthe entire plateQ6: A large vertical plate 6.1 m high and 1.22 m wide is maintained at s constant temperature of 57:C and exposed to atmospheric air at 4-C. Caleulate the heat lost by the plate. Answers: Q