Airy Wave Theory

In fluid dynamics, Airy wave theory (often referred to as linear wave theory) gives a linearised description of the propagation of gravity waves on the surface of a homogeneous fluid layer. The theory assumes that the fluid layer has a uniform mean depth, and that the fluid flow is inviscid, incompressible and irrotational. This theory was first published, in correct form, by George Biddell Airy in the 19th century.

Airy wave theory is often applied in ocean engineering and coastal engineering for the modelling of random sea states – giving a description of the wave kinematics and dynamics of high-enough accuracy for many purposes. Further, several second-order nonlinear properties of surface gravity waves, and their propagation, can be estimated from its results. Airy wave theory is also a good approximation for tsunami waves in the ocean, before they steepen near the coast.

This linear theory is often used to get a quick and rough estimate of wave characteristics and their effects. This approximation is accurate for small ratios of the wave height to water depth (for waves in shallow water), and wave height to wavelength (for waves in deep water).

Read more about Airy Wave Theory:  Description, Surface Tension Effects, Interfacial Waves, Second-order Wave Properties, See Also

Famous quotes containing the words airy, wave and/or theory:

    Dull sublunary lovers’ love,
    Whose soul is sense, cannot admit
    Absence, because it doth remove
    Those things which elemented it.

    But we by a love so much refined
    That our selves know not what it is,
    Interassured of the mind,
    Careless eyes, lips, and hands to miss.

    Our two souls therefore, which are one,
    Though I must go, endure not yet
    A breach, but an expansion,
    Like gold to airy thinness beat.
    John Donne (1572–1631)

    The city is loveliest when the sweet death racket begins. Her own life lived in defiance of nature, her electricity, her frigidaires, her soundproof walls, the glint of lacquered nails, the plumes that wave across the corrugated sky. Here in the coffin depths grow the everlasting flowers sent by telegraph.
    Henry Miller (1891–1980)

    The weakness of the man who, when his theory works out into a flagrant contradiction of the facts, concludes “So much the worse for the facts: let them be altered,” instead of “So much the worse for my theory.”
    George Bernard Shaw (1856–1950)