The atmosphere heating due to wideband acoustic and shock waves propagating
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Інститут геофізики ім. С.I. Субботіна НАН України
2010
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| Schriftenreihe: | Геофизический журнал |
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| Zitieren: | The atmosphere heating due to wideband acoustic and shock waves propagating / V. Gusev // Геофизический журнал. — 2010. —- Т. 32, № 4. — С. 56-57. — Бібліогр.: 3 назв. — англ. |
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03 ���������
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/#�)-(% '1%.�+,#(� #(%2
Acoustics waves propagating in the stratified atmosphere influence on its state. One of such mecha-
nisms is the heating of atmosphere due to wave dissipation. It is well known [Golicyn, Romanova, 1968;
Romanova, 1970] that the stratification of the atmosphere leads to some important effects associated with
acoustics wave propagation. First of all is the exponential increase of velocity of particle of medium. It’s
mean that the nonlinear effects must be taken in account. The second effect is the significant increase of
effective coefficient of dissipation. In addition, nonlinearity leads to formation of shock waves with narrow
shock front. Finally the wave dissipation and corresponding energy flow is more significant in stratified
atmosphere.
Acoustic waves are the important mechanism of interaction between different geospheres. Waves
generated due to seismic activity and earthquakes influence on the atmosphere state. This phenomenon
is important for prediction of long distance wave propagation, weather forecast and so on. Another applica-
tion is the investigation of seismic activity themselves and prediction of strong seismic events [Gusev,
Sobisevitch, 2010].
For wave profiles in stratified atmosphere the analytical solutions at large heights were obtained :
for periodical initial sinusoidal signal
00
2
2
1
18
11
14
tanh
1
1
sss
s
ss
VS , ,
where the term with hyperbolic tan describes the shock front; and for positive phase of single N-shaped
impulse
00 1
118
11
14
1
tanh1
12
1
1 ss
s
s
s
sss
VN , 01 s .
Here 0cxt is the retarded time, 12
2 2
0
2 Hx
x
Hx
nl
eHdxe
z
H
s is the effective distance, x —
The atmosphere heating due to wideband acoustic
and shock waves propagating
V. Gusev, 2010
Lomonosov’s Moscow State University, Moscow, Russia
vgusev@bk.ru
height, �— coefficient of dissipation, znl
H
s
2
0 , H is the standard atmosphere.
Using these expressions one can compute the heating atmosphere rate in accordance with equation
cE
xt
T
cp 0 .
Here E is full energy of acoustical impulse
���������
���
���������������������� 04
��� ��!"#�$%&'�("�%()�#*+#�' #(&"�&��&,#��-�%()� �)#..'(/
zT
zT
dzuE ,2
0 .
This equation shows that temperature changing goes due to change of the energy flow. Taking into
account that Hxe000 , sTzT 10 , one can obtain:
Hx
Hx
e
s
Tu
es
Tu
E 4
0
3
0
2
000
2
0
3
0
2
000
3
2
113
2
.
Consequently the temperature increasing rate is
Hx
pHx
Hx
p
e
sHc
Tcu
es
e
H
s
c
Tcu
t
T 43
00
3
0
2
000
232
0
23
0
3
0
2
0
2
1
31123
.
Thereby at large heights the significant temperature increasing takes place due to stratification and
density decreasing. This phenomena radically differs from the influence of periodical signal, the amplitude
of which reaches the saturation at large heights, so the temperature increasing rate due to periodical
signal is almost independent on height.
References
Golicyn G. S., Romanova N. N. Vertical propagation of acoustical waves in atmosphere with variable on heights
viscosity // Izv. AN USSR. Physics of Atmosphere and Ocean. — 1968. — 4!� 2. — P. 210—214.
Romanova N. N. On vertical propagation of short acoustical waves in the atmosphere // Izv. AN USSR. Physics
of Atmosphere and Ocean — 1970. — 6!� �����,.134—145.
Gusev V. A., Sobisevitch A. L. Propagation of wideband and shock waves induced by seismic activity in the
stratified atmosphere // Proc. 28th Intern. Conf. on Mathemat. Geophysics. — Pisa (Italy), 2010. — P. 76.
|
| spelling |
irk-123456789-1013922016-06-04T03:01:54Z The atmosphere heating due to wideband acoustic and shock waves propagating Gusev, V. 2010 Article The atmosphere heating due to wideband acoustic and shock waves propagating / V. Gusev // Геофизический журнал. — 2010. —- Т. 32, № 4. — С. 56-57. — Бібліогр.: 3 назв. — англ. 0203-3100 http://dspace.nbuv.gov.ua/handle/123456789/101392 en Геофизический журнал Інститут геофізики ім. С.I. Субботіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| format |
Article |
| author |
Gusev, V. |
| spellingShingle |
Gusev, V. The atmosphere heating due to wideband acoustic and shock waves propagating Геофизический журнал |
| author_facet |
Gusev, V. |
| author_sort |
Gusev, V. |
| title |
The atmosphere heating due to wideband acoustic and shock waves propagating |
| title_short |
The atmosphere heating due to wideband acoustic and shock waves propagating |
| title_full |
The atmosphere heating due to wideband acoustic and shock waves propagating |
| title_fullStr |
The atmosphere heating due to wideband acoustic and shock waves propagating |
| title_full_unstemmed |
The atmosphere heating due to wideband acoustic and shock waves propagating |
| title_sort |
atmosphere heating due to wideband acoustic and shock waves propagating |
| publisher |
Інститут геофізики ім. С.I. Субботіна НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/101392 |
| citation_txt |
The atmosphere heating due to wideband acoustic and shock waves propagating / V. Gusev // Геофизический журнал. — 2010. —- Т. 32, № 4. — С. 56-57. — Бібліогр.: 3 назв. — англ. |
| series |
Геофизический журнал |
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AT gusevv theatmosphereheatingduetowidebandacousticandshockwavespropagating AT gusevv atmosphereheatingduetowidebandacousticandshockwavespropagating |
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2025-07-07T10:52:09Z |
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2025-07-07T10:52:09Z |
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1836985124584947712 |