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AE 3003 Quiz II
Closed Book and Notes  Fall 1998
1.
Briefly define or explain the following terms.
a)
Vorticity
b) Pathline
c)
Streamline
d) Substantial derivative (also called Material derivative)
e)
Doublet
20%
2.
Show that in 2D flows, streamlines (
)
lines
constant
=
ψ
are orthogonal to
velocity potential lines
(
Φ
=Constant lines).
30%
3.
Given the velocity field for a doublet:
θ
sin
r
C
=
Determine if this field satisfies (a) continuity, and (b) irrotationality.
Hint: This problem may be done in polar coordinates or the Cartesian coordinates. If you
choose to use the Cartesian coordinate system, you may want to use the following
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Unformatted text preview: relations: If you are using a polar coordinate system, use: ( 29 ( 29 1 1 v 1 = ∂ ∂∂ ∂ = × ∇ = ∂ ∂ + ∂ ∂ = ⋅ ∇ ∂ ∂= ∂ ∂ = k v r rv r V v r rv r V r r v r r r & 50% : : : from v and u Compute sin cos = × ∇ = ⋅ ∇ ∂ ∂= ∂ ∂ = = = V ality Irrotation V Continuity x v y u r y r x C...
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This note was uploaded on 10/23/2011 for the course AE 3003 taught by Professor Yeung during the Fall '08 term at Georgia Institute of Technology.
 Fall '08
 Yeung

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