For laminar boundary layer flow over a flat plate with air at
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- Atmospheric air is in parallel flow (u∞ = 10 m/s, T = 15°C) over a flat heater surface that is to be maintained at a temperature of 90°C. The heater surface area is 0.25 m², and the airflow is known to induce a drag force of 0.17 N on the heater. What is the electrical power, in kW, needed to maintain the prescribed surface temperature? Use the modified Reynolds or Chilton-Colburn analogy. Evaluate properties for the air at 325 K. q= i kWarrow_forwardConsider two cases involving parallel flow of dry air at V = 3 m/s, T = 45°C, and atmospheric pressure over an isothermal plate at T = 20°C. In the first case, Rex = 5 x 105, while in the second case the flow is tripped to a turbulent state at x = 0 m. At what x-location, in m, are the thermal boundary layer thicknesses of the two cases equal? What are the local heat fluxes, in W/m², at this location for the two cases? x = 91am = qurb = i i m W/m² W/m²arrow_forwardConsider two cases involving parallel flow of dry air at V = 3.5 m/s, T = 45°C, and atmospheric pressure over an isothermal plate at T = 20°C. In the first case, Rex.c = 5 × 105, while in the second case the flow is tripped to a turbulent state at x = 0m. At what x -location, in m, are the thermal boundary layer thicknesses of the two cases equal? What are the local heat fluxes, in W/m², at this location for the two cases? x = 9'1'am 9 turb = = i i i m W/m² W/m²arrow_forward
- Consider a laminar flow over a flat plate of length L = 1m. The boundary layer thickness at the end of the plate is dw for water, and 6, for air for the same free stream velocity. If the kinematic viscositics of water and air arc 1x106 m/s and 1.6x10-5 m/s. respectively, the numerical value of the ratio, warrow_forwardWater 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 = 5.85arrow_forwardAir at 20 °C flows with a velocity of 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, ν= 20x10-6 m2/s, Pr = 0.7arrow_forward
- 8 Air at standard conditions of 1 atm and 27°C flows over a flat plate at 20 m/s. The plate is 60 cm square and is maintained at 97°C. Calculate the heat transfer from the plate.arrow_forwardQ2/Engine oil at 80°C flows over a 6-m-long flat plate whose temperature is 30°C with a velocity of 3 m/s. Determine the total drag force and the rate of heat transfer over the entire plate per unit width.arrow_forward6- Air at a pressure of 200 kPa and free-stream temperature of 27°C flows over a square flat plate at a velocity of 30 m/s. The Reynolds number is 10° at the edge of the plate. Calculate the heat transfer for an isothermal plate maintained at 57 C. v = 8,6x10 k = 0.0274; Pr = 0.7 V Nu = 1299 Answers: g = 676Warrow_forward
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