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Article Dans Une Revue Physics of Fluids Année : 1963

General fluid-displacement equations for acoustic-gravity waves

Résumé

General equations are derived for the dynamics of a fluid under initial stress in an arbitrary potential field and perturbed from equilibrium. The motion is described in terms of the displacements of the fluid particles from their equilibrium position. A class of equations is obtained which is applicable to large displacements. Complete linearization leads to two types of equations. One type called ``un‐modified'' corresponds to the viewpoint of the theory of elasticity. The ``modified'' equations representing the other type are expressed in terms of buoyancy forces. The modified equations lead to a conceptually useful analog model for internal gravity waves in a liquid. For a constant gravity field the linear equations are also applicable to large displacements. Classical examples for a constant gravity field are discussed as illustrations.
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hal-01368706 , version 1 (21-09-2016)

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Maurice A. Biot. General fluid-displacement equations for acoustic-gravity waves. Physics of Fluids, 1963, 6 (5), pp.621-626. ⟨10.1063/1.1706790⟩. ⟨hal-01368706⟩
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