Homework Statement
Consider an aircraft flying with speed 300 ft/s in a steady pull-up maneuver with pitch rate q = 0.1 rad/sec.
What is the g-loading experienced by the pilot of the aircraft just as the maneuver begins (i.e. when the aircraft is still level)?
The attempt at a solution
So...
Homework Statement
The stream function of a 2D incompressible flow is given by:
\Psi=(\Gamma/2pi)*ln(r)
Show that the circulation about a closed path about the origin is \Gamma and is independent of r.
Homework Equations
\Gamma=-\ointV dot ds
The Attempt at a Solution
So far I know that...
Homework Statement
A flow field is described by
|V| = f(r) ;
x^2 + y^2 = c (streamlines)
What form must f(r) have if continuity is to be satisfied? Explain your results.
Homework Equations
equation of continuity: div V = d(ur)/dr + (ur)/r = 0
where (ur) is the radial...
would the normal vector be...
n = cos(60) i + sin(60) j
so then...
dq/dS = V dot n = -cos(60) i + 2sin(60) j
and...
magnitude of dq/dS = sqrt( (-cos(60))^2 + (2sin(60))^2)
Homework Statement
The velocity components of a flow are given by:
u=-x v=y
Compute the volume of fluid flowing per unit time per unit area through a small surface at (1,2) whose normal makes an angle of 60 deg with the positive x-axis.
Homework Equations
V= u i + y j (velocity vector)...