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1)
If c is the chord of an airfoil, U is the free stream velocity, p is the free stream pressure,
?
is the free stream density ,
ν is the kinematic viscosity and ζ is the vorticity, which of the
following quantities is NOT nondimensional
a.
U /sqrt(p/
?)
b.
U ζ/c
c.
cζ/U
d.
c ^2 ζ/ ν
e.
U*c/ ν
2)
For what values
of the constant s “a” and “b”
do the velocity components
u= x^2 + a y^2 ; v=b x y + 4 represent an incompressible and irrotational flow:
a.
(a,b)=(1, 2)
b.
(a,b)=(1, 2)
c.
(a,b)=(2, 1)
d.
(a,b)=(2, 1)
e.
(a,b)=(2, 1)
3)
The velocity potential of a uniform stream with speed 3m/s and a 2D source with strength
2 m^2/s is
a.
3 x + 2 ln(r)
b.
2 y + 3 ln(r)
c.
3 x + ln(r)/
π
d.
3 y + 2
θ
e.
3 y – 2
θ
/
π
4)
Consider a
2D flow in the first quadrant, x>0, y>0.
The velocity
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This document was uploaded on 01/22/2012.
 Fall '09

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