September 2013
Intermediate to advanced
320 pages
11h 25m
English
Content preview from Finite Element Techniques for Fluid Flow
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200 INVISCID FLUIDS
Thus,
applying Gauss's theorem,
f*
ds
=
^-S
dS
=
-^
a
-
δψ \
ox
2
/
dS
-//
dx\ dx\
dv
2
_
dx
l
2ωάΑ
dx?
άΑ
(c)
Equation (c) shows that, if the flow is irrotational, the circulation is
zero around the closed curve bounding a surface within the fluid.
5.6 CYLINDRICAL COORDINATES
A body whose shape is generated by rotating a plane area through a
full revolution around an axis lying in the plane of the area (see
Figure 5.10) is called a solid of revolution. It is convenient to work
with a cylindrical system of coordinates, the polar angle
Θ
and two
coordinates in the r, z plane, as shown in the figure.
Axis of
revolution
Figure 5.10 ...
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