A jet engine is tested in a stationary test stand to measure its static thrust. Over a spherical surface with R = 3 m centered on the intake opening, the velocity has a uniform magnitude, Vi, and is directed radially inward (see gure and inset at right). The density of the incoming air is Rho(i) = 1.2 kg/m3. At the exit, the velocity is uniform and directed along the negative y-axis with a magnitude of Ve = 450 m/s. The exhaust is at an elevated temperature, with a uniform density of Rho(e) = 0.6 kg/m^3, and exits over an area of Ae = 1.4 m^2.
a) Calculate the velocity magnitude, Vi, at the inlet to the control volume shown.
b) Calculate the net momentum flux in the y-direction through the control volume shown.
c) Following a streamline upstream from the inlet, one will eventually reach a point where
the velocity is zero and the pressure is at atmospheric levels. Use this information to calculate the pressure on the control volume inlet.
d). d) Calculate the net thrust generated by the engine. Clearly state your assumptions.
SEE ATTACHED DIAGRAM
