Space Grant Consortium - University of Wisconsin - Green Bay

Appendix A
Variables
radii
large
at
n
circulatio
vortex
velocity
ngential
vortex ta
maximum
velocity
l
tangentia
of
profile
radial
)
(
velocity
gential
vortex tan
maximum)
is
V
(Where
radius
core
vortex
center
vortex
from
distance
radial
vortices
rotating
-
co
between
distance
separation
initial
ingspan
aircraft w
max
0
=
Γ
=
=
=
=
=
=
=
∞
V
r
V
V
r
r
b
B
c
Burnham-Hallock Model
)}
/(
){
2
/
(
)
(
2
2
r
r
r
r
V c +
Γ
= ∞ π
Lamb-Oseen Model
]}
)
/
(
2527
.
1
exp[
1
){
2
/
(
)
(
2
c
r
r
r
V −
−
Γ
= ∞ π
TASS Initial Vortex Model
c
c
c
c
r
r
r
r
B
r
r
V
r
r
B
r
r
V
4
.
1
for
]}
)
/
(
2527
.
1
exp[
1
]}{
)
/
4
.
1
(
10
exp[
1
{
0939
.
1
*
)
2
/
(
)
(
4
.
1
for
]}
)
/
(
10
exp[
1
){
2
/
(
)
(
2
75
.
0
75
.
0
<
−
−
−
−
Γ
=
≥
−
−
Γ
=
∞
∞
π
π
15