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Animations |
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Modes in an infinite cylindric tube
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Modes in an infinite cylindrique tube
with a meridian half wall ![]() |
INFINITE CYLINDRIC TUBE | |
The acoustic field
created by a
monochromatic source in an infinite cylindric tube (diameter 2a) can be
expressed as the superposition of the fields associated to
each mode (
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where ![]() ![]() ![]() Thus, the acoustic
field is
propagative following the axis z of the cylinder, is stationary
following the radius r, and is either propagative or stationary
following the azimuth
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Case of
the stationary mode in
As the volume of the fluid at the interior of the cylinder permits to
bypass the Oz-axis when the azimuth ![]() ![]() ![]() ![]() ![]() |
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The
animations below represent the variation of the acoustic pressure of
a mode (n,m) in a section of the cylindric tube, for a given
z,
with color level (red =
maximum, blue = minimum). |
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INFINITE CYLINDRIC TUBE WITH A MERIDIAN HALF WALL |
The acoustic field
created by a monochromatic source in an infinite
cylindric tube (diameter 2a) can be expressed as the superposition of
the fields
associated to each mode (
![]() ![]() ![]() ![]() ![]() ![]() ![]() For N being an odd number, the stationary modes are anti-symmetric with respect to the meridian half wall. |
The
animations below represent the variation of the acoustic pressure of
a
mode (![]() |
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