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Radiation of internal waves during vertical motion of a body through a nonuniform liquid

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Abstract

Energy losses to radiation of internal waves during the vertical motion of a point dipole in two-dimensional and three-dimensional cases are computed.

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Abbreviations

ρo(z), po(z):

density and pressure of the ground state

z:

vertical coordinate

v, p, ρ:

perturbed velocity, pressure, and density

H≡(d 1n ρo/dz)−1 :

characteristic length scale for stratification

N=(gH−1−g2c −2o )1/2 :

Weisel-Brent frequency

g:

acceleration of gravity

co :

speed of sound

▽:

vertical component of the perturbed velocity

V:

vector operator

k:

wave vector

ω:

frequency

dσ:

vector surface element

W:

magnitude of the energy losses

δ(t), δ(r) ≡ δ(x)δ(y)δ(z):

Dirac functions

vo :

velocity of motion of the source of perturbations

d:

dipole moment of the doublet

λo,l :

length dimension parameters

μo :

intensity of the source

Literature cited

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Authors and Affiliations

  1. Institute of Problems in Mechanics, Academy of Sciences of the USSR, Moscow

    V. A. Gorodtsov

Authors
  1. V. A. Gorodtsov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 4, pp. 619–623, October, 1980.

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Gorodtsov, V.A. Radiation of internal waves during vertical motion of a body through a nonuniform liquid. Journal of Engineering Physics 39, 1062–1065 (1980). https://doi.org/10.1007/BF00822134

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  • DOI: https://doi.org/10.1007/BF00822134

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