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On the equivalence between two perturbation techniques in fluid dynamics (1971)

Einaudi, F.

Springer

Flow, turbulence and combustion 24 (1971), S. 422-430

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ISSN: 1573-1987

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes: Abstract The hydrodynamic equations governing the propagation of waves in one dimension are solved by successive approximations. Secular terms appear in a regular perturbation analysis, which limit the practical usefulness of such an approach. Two singular perturbation methods are described to remedy the presence of singularities. It is shown that the Poincaré-Linghthill-Kuo method and the method of characteristics are equivalent at least to first order in the amplitude of the perturbed velocity.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00411730

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