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1. A large rocket engine delivers hydrogen at 1500°C and 3 MPa to a nozzle with an exit pressure equal to the ambient pressure of 54 kPa. If the thrust of the rocket is 2 MN what is the exit velocity and mass flow rate of hydrogen? (use k = 1.41 and R = 4124 J/kgK)
2. Air, with a stagnation condition of 450 K and 250 kPa flows through a nozzle. At the location where the cross-sectional area equals 15 cm2 there is a normal shock. If the mass flow rate is 0.4 kg/s estimate the Mach number and the stagnation pressure after the shock.
3. A 5-mm capillary tube is used as a viscometer. When the flow rate is 0.71 m3/hr, the measured pressure drop is 375 kPa/m. Estimate the viscosity of the fluid? Is the flow laminar? Can you estimate the density?
4. Hydrogen at 20 °C and 1 atm needs to be pumped through an 85 m duct with an aspect ratio of 5:1. The flow rate is 0.7 m3/s and the pressure drop cannot exceed 80 Pa. What should the height and width of the duct be?
a hydroponic garden uses the 10 m long perforated pipe system to deliver water at 20ordmc. the pipe is 5cm in diameter
consider air in a piston-cylinder assembly. initially the air is at p1 2bars and t1 600k . the air is compressed
how much heat is needed to a 0.3m3 rigid volume containing saturated water vapor at 1000 kpa in order for final
Consider a stable continuous-time LTI system with impulse response h(t) that is real and even. Show that cos wt and sin wt are eigenfu nctions of this system with the same real eigenvalue.
develop algorithms for the explicit solution of the kinematic equations when applied to a problem of runoff from a
A piston-cylinder device contains 1.0 kg of nitrogen gas at 150 kPa and 40oC. The gas is now compressed slowly in a polytropic process during which PV1.3 is constant. The process ends when the volume is reduced by one-half. Determine the entropy chan..
One kilogram of air as an ideal gas executes a Carnot power cycle having a thermal efficiency 50%. The heat transfer to the air during isothermal expansion is 50 kJ. At the end of the isothermal expansion, the pressure is 574 kPa and the volume is..
a cylindrical specimen of an aluminum alloy has a youngs modulus of 59gpa original length of 250mm length at fracture
A rigid tank with a volume of 1.8 m^3 contains 15 kg of saturated liquid-vapor mixture of water at 2 bar. Now the water is slowly heated. Determine the temperature at which the liquid in the tank is completely vaporized. Show the process on a T-v dia..
An air conditioner can produce a 120 kJ/min cooling effect while rejecting 2.5kW of heat. What is its COP and the electricity it consumes? An inventor claims to have designed a system which can produce the same cooling rate but consumes only 0.05kW e..
steam enters a two-stage adiabatic turbine at 8 mpa and 550ordmc state 1 and is expanded to 2 mpa state 2 in the first
0.1kg of water is contained within a piston-cylinder assembly at 100 degree c. the piston is free to move smoothly in
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