An incompressible flow in cylindrical coordinates

Assignment Help Mechanical Engineering

Reference no: EM13719389

An incompressible flow in cylindrical coordinates is given by:

u_r = Kcos(theta)(1-(b/(r^2))) u_(theta) = -Ksin(theta)(1+(b/(r^2))), u_z = 0

a) Does this field satisfy continuity?

b) For consistency, what should the dimensions of the constants K and b be?

c) Sketch the surface where u_r = 0 and interpret this flow field

Reference no: EM13719389

Questions Cloud

Assume the drainpipes are the same height as the building : Galvanized iron drainpipes of diameter 50 mm are located at the four corners of a building, but three of them become clogged with debris. Find the rate of downpour (cm/min) at which a single functioning drainpipe can no longer drain the roof.

Rocket propellant chamber is filled with combustion gases : A 1m3 rocket propellant chamber is filled with combustion gases at 3000 K and 7 Mpa at the instant combustion ceases. The throat area of the nozzle is 0.1m2. Estimate the time it takes for the chamber pressure to drop to 0.7 MPa. Assume that the inst..

Converted to thermal energy due to the collision : Consider a mass M is a distance L above the ground at constant temperature, TR. The mass is released, falls, and hits the ground. The kinetic energy just before it hits is converted to thermal energy due to the collision and is transferred to the gro..

Determine the thermal efficiency and propulsion efficiency : A ramjet is to propel an aircraft at Mach 3 at high altitude where the ambient pressure is 8.5Kpa and the ambient temperature Ta is 220 k. The turbine inlet temperature T is 2540 k.if all components of the engine are ideal - that is frictionless.

An incompressible flow in cylindrical coordinates : An incompressible flow in cylindrical coordinates is given by: Does this field satisfy continuity? For consistency, what should the dimensions of the constants K and b be?

How much is the steady state amplitude : A damped system is driven by a harmonic force F(t)=18 sin(12t). The system has a mass of 17.5 kg and damping constant of 42 N/s/m. Determine the spring constant k which produces maximum amplitude response. Also find out the maximum amplitude; (b) If ..

Determine the damping ratio : A 110 kg machine is mounted on an elastic foundation with stiffness of 2106 N/m. To determine the damping that the machine is subjected to, an external harmonic force of 1500 N magnitude is applied to it at a rate of 150 rad/s. The vibration of the m..

How to convert from a displacement vs time graph : How to convert from a displacement vs time graph given, to velocity AND acceleration vs time graphs?

Determine the rate of heat transfer in kw : Carbon dioxide (CO2) gas enters a turbine operating at steady state at 50 bar, 500 K with a velocity of 50 m/s. The inlet area is 0.02 m2. At the exit, the pressure is 20 bar, the temperature is 440 K, and the velocity is 10 m/s.

User Account

All Pages