Air enters a 100 meter long duct at 300K and 4 bars with a velocity of 34.7m/s. The duct diameter is 5cm. What is the heat transfer needed, in kJ/kg, for the flow to choked?
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- Compare the frictional pressure drop, due to skin friction, of air and water for a smooth circular pipe of inside diameter D and length L. For this comparison, consider the mass flow rate of air to be equal to the mass flow rate of water [Ans.: Using the McAdams’ correlation for f we find, ∆Pa/∆Pw = (ρw/ρa)1.2].Assuming the clearance is negligible for a single stage compressor with the followingdata.Atmospheric pressure: 90 kPaAtmospheric temperature: 17 ˚CDelivery pressure: 7 barFree air delivery flow rate: 0.2 m3/minTake “n” as 1.3, cp = 1.005 kJ/kg K, cv = 0.718 kJ/kg K 1. What is the power input to the compressor if compression is isentropic in kW to 3 decimal places? 2. What is the power input to the compressor in kW to 3 decimal places if the compression reversible isothermal?Liquid hydrogen and oxygen are burned in a combustionchamber and fed through a rocket nozzle that exhausts atVexit = 1600 m/s to an ambient pressure of 54 kPa. Thenozzle exit diameter is 45 cm, and the jet exit density is0.15 kg/m3. If the exhaust gas has a molecular weight of 18,estimate (a) the exit gas temperature, (b) the mass flow, and(c) the thrust developed by the rocket.
- Assuming the clearance is negligible for a single stage compressor with the followingdata.Atmospheric pressure: 90 kPaAtmospheric temperature: 17 ˚CDelivery pressure: 7 barFree air delivery flow rate: 0.2 m3/minTake “n” as 1.3, cp = 1.005 kJ/kg K, cv = 0.718 kJ/kg K 1. What is the power input to the compressor in kW to 2 decimal places if the compression is polytropic compression process with n=1.25? 2. What is the delivery temperature of air for an isentropic compression process in Kelvin to 1 decimal place? 3. What is the power input to the compressor in kW to 3 decimal places if the compression reversible isothermal?A hose of diameter 3 cm is used to drain a very large tank filled with water (=1000 kg/m3). The hose is draped over the side of the tank so the water is siphoned out. If the hose discharge is 1 m below the surface of the water, estimate the discharged mass flow rate in kg/s? A siphon implies a continuous liquid leg from the water in the tank up the siphon at point 2, the highest elevation, and down to the discharge at point 3. Assume that alpha=1, the discharge at point 3 as well as the tank are both open to the atmosphere and shaft work and frictional losses are ignored. 2.Based on your solution, how can you drain the tank faster?At Tw= 100oC uniform temperature, L= 26m long, D=2.3cm diameter pipe passes motor oil at =0.37 kg/s flow rate and Ti = 40oC temperature. The flow is hydrodynamically developed and the average Nusselt number is Num=7.5. Accordingly; Find a) the average heat transfer coefficient, b) the outlet temperature of the engine oil, c) the total amount of heat transfer transferred to the oil, and d) the thermal inlet length.
- Air enters a 5-cm-diameter pipe at 380 kPa, 3.3 kg/m3,and 120 m/s. The friction factor is 0.017. Find the pipelength for which the velocity (a) doubles, (b) triples, and(c) quadruples.Consider a flow of SAE 30W oil through a 3-cm-diameter pipe. For SAE 30W oil, take ρ = 891kg/m3, μ = 0.29 kg/m⋅s at 20 °C, and μ = 0.01 kg/m-s at 100 °C, and π = 22/7. For what flow rate in m3/h would a transition to turbulence take place at 20°C? The flow rate is m3/h.Air enters a 5 cm ID smooth-walled tube at 27°C with an average velocity of 3 m/s. The tube wall has a constant heatflux applied to it, qw = 380 W/m2K. Plot Tb(x) and Tw(x) until Tb reaches 38°C.
- For axial flow through a circular tube, the Reynolds numberfor the transition to turbulence is approximately 2300 based on the diameter and average velocity. Ifd= 5 cm and the fl uid is kerosene at 20 ° C, fi nd the volumeflow rate in m 3 /h that causes transition.Flow Characterisitc (Entrance Effects) Why was there some disagreement between the actual Pitot tube velocity profile and the power law velocity profile?Consider two cases involving parallel flow of dry air at V=V= 2.5 m/s, T∞=45°C, and atmospheric pressure over an isothermal plate at Ts=20°C. In the first case, Rex,c=Rex,c=5 × 105, while in the second case the flow is tripped to a turbulent state at x=0 m. a. At what x‐location, in m, are the thermal boundary layer thicknesses of the two cases equal? in m b. what is the q'' lam at W / m^2 c. what is the q'' turb at W / m^2