Air at temperature 527 ℃ and 1 bar pressure flows with a velocity of 10 m/s over flat plate 0.5 m long. Estimate the cooling rate per width of the plate needed to maintain it at a surface temperature of 27 ℃ assuming the contribution of radiation is negligible.
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Air at temperature 527 ℃ and 1 bar pressure flows with a velocity of 10 m/s over flat
plate 0.5 m long. Estimate the cooling rate per width of the plate needed to maintain it at
a surface temperature of 27 ℃ assuming the contribution of radiation is negligible.
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- Air with free stream temperature of 10 C is flowing over a flat plate (1.5m long and Im wide). The air is flowing along 1.5m side of the plate. The plate is maintained at 90 C. Find the velocity of air required to have a rate of heat dissipation as 3.75 kW. Use the correlations: Nu =0.664Res Pro3 for laminar flow Nu, = (0.037R *-871)Pr for turbulent flow Take the properties p = 1.0877 kg/m u=2.029x10 m/s, k=0.028 W/mK, C,-1.007KJ/kg.K and Pr=0.703 %3DO. Air with free stream temperature of 10 C is flowing over a flat plate (1.5m long and Im wide). The air is flowing along 1.5m side of the plate. The plate is maintained at 90'C. Find the velocity of air required to have a rate of heat dissipation as 3.75 kW. Use the correlations: Nu =0.664Reos Pro33 for laminar flow Nu, = (0.037RE-871)Pr3 for turbulent flow Take the properties p = 1.0877 kg/m u=2.029×10 m/s, k=0.028 W/mK, C,-1.007KJ/kg.K and Pr-0.703In cold climates, weather reports usually give both the actual air temperature and the "wind-chill" temperature, which can be interpreted as follows. At the prevailing wind speed there is a rate of heat loss per unit area q, from a clothed person for an air temperature Te. The wind-chill temperature Twe is the air temperature that will give the same rate of heat loss on a calm day. Estimate the wind-chill temperature on a day when the air temperature is -10°C and the wind speed is 10m/s, giving a convective heat transfer coefficient of 50 W/m² K. A radiation heat transfer coefficient of 5 W/m² K can be used, and under calm conditions the convective heat transfer coefficient can be taken to be 5.0 W/m² K. Assume a 3 mm layer of skin (k = 0.35 W/m K), clothing equivalent to 8 mm-thick wool (k = 0.05 W/m K), and a temperature of 35°C below the skin. Also calculate the skin outer temperature.
- Water at 45.0oC flows over a large plate at a velocity of 30.0 cm/s. The plate is 1.0 m long (in the flow direction), and its surface is maintained at a uniform temperature of 5.0oC. Calculate the steady rate of heat transfer per unit width of the plate. Properties The properties of air at 1 atm and the film temperature of (Ts+T∞)/2 = (5+45)/2 = 25°C are: ρ = 996.6 kg/m3, k = 0.610 W/m.oC, μ = 0.854x10-3 kg/m.s, Pr = 5.85A 0.5-m diameter uninsulated pipe transports high-temperature steam. Its surface temperature is 150°C and it is exposed to air at -10°C. The air moves in cross flow over the pipe with a velocity of 5 m/s. To compute for the Nusselt number of the air flow, what is the exact value of the temperature in °C on which the air properties should be based?Air at 20 ◦ C flows inside a pipe 18-mm-ID having a uniform heat flux of 150 W/m 2 on the surface, the average flow velocity at entry being 1.0 m/s. The air pressure is 2 bar. Determine the value of convection coefficient. If the pipe is 2.5 m long, determine the air exit temperature and the wall temperature at the exit. Assume fully developed hydrodynamic boundary layer.
- Air at 20°C, 1 atm flows with a velocity of 4.5 m/s over a flat plate having a sharp leading edge. The plate surface isothermal at 60°C. (a), determine the following parameters at a distance of 1.89m. i)Local convective heat transfer coefficient (ii)Average convective heat transfer coefficient (iii)The heat transfer rate from both sides per unit width of the plateAir at 295 K flows at 3 m/s over a flat plate at 390 K. The air properties are as follows: density =1.1 kg/m3, viscosity =18.1×10−6 Pa.s, specific heat capacity =1005 J/kgK, and thermal conductivity =0.024 W/mK. The velocity and temperature profiles are assumed to be linear, giving the local Nusselt number to be Nux = 0.289 Rex1/ 2Pr1/3. The flow will become turbulent at a Reynolds number of 5×105. Assume the width of the plate perpendicular to the air flow is 1 m. At what distance from the leading edge does the flow become turbulent? ________m What is the heat transfer at the point of transition? ___________W What is the total heat transfer along the length of the plate where the flow is laminar? __________W(v) Air at a pressure of 1 atm and a temperature of 50°C is in parallel flow over the top surface of a flat plate that is heated to a uniform temperature of 100°C. The plate has a length of 0.20 m (in the flow direction) and a width of 0.10 m. The Reynolds number based on the plate length is 60,000. What is the rate of heat transfer from the plate to the air? If the free stream velocity of the air is triple and the pressure is increased to 10 atm, what is the rate of heat transfer, 8t ,8, C fx-0.17 Now if the case with constant heat flux (580 w/m²) find surface temperature, Nu,,Nu, with second value of velocity.
- Air at 22˚C and at atmospheric pressure flows over a flat plate at a velocity of 1.65 m/s. If the length of the plate is 2.179 m and its temperature is 98 ˚C, Calculate Heat rate by using exact and approximate methods both. What is the %age difference of the heat transfer rate values by these methods? Take width of the plate as unity. Properties given at 60˚C are as follows: Density: 1.058 kg/m3 , cp = 1.005 kJ/kg˚C, k= 0.02897 w/m˚C, Kinematic viscosity is 18.97 × 10-6 m2 /sAir at 20 °C flows with a velocity 10 m/s along a 4 m flat plate which is maintained at uniform temperature of 100 °C. What is the local heat flux at haft distance from the leading edge of the plate (at middle of the plate)? For air: k = 0.025 W/mK, v= 20x10-6 m2/s, Pr = 0.7k) Air at a pressure of 1 atm and a temperature of 50°C is in parallel flow over the top surface of a flat plate that is heated to a uniform temperature of 100°C. The plate has a length of 0.20 m (in the flow direction) and a width of 0.10 m. The Reynolds number based on the plate length is 60,000. What is the rate of heat transfer from the plate to the air? If the free stream velocity of the air is triple and the pressure is increased to 10 atm, what is the rate of heat transfer, St ,8, C fx-0.17 Now if the case with constant heat flux (580 w/m²) find surface temperature, Nu,,Nu, with second value of velocity.