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Acoustic sources are present: they are described by a function (or, more generally, a distribution) denoted F ( M , t), depending on the space variable M ( x , y, z) and the time variable t. 1. 1) t < to where to is the time at which the sources F(M, t) start. In general, the sources stop after a bounded duration. But this is not a reason for the fluid motion to stop, too. In fact, the energy conservation equations used to describe the phenomenon show that, after the sources have stopped, the acoustic energy inside the enclosure decreases more or less exponentially.

Where /5(x, t) (resp. /5'(x, t)) stands for the acoustic pressure in the first (resp. (x, t) and V'(x, t) are the corresponding particle velocities; Y(t) is the Heaviside step function ( = 0 for t < 0, = 1 for t > 0). Because the aim of this academic problem is to point out the main phenomena which occur in room acoustics, attention will be paid to the function P(x, t) only. It is useful to associate to /5(x, t) (resp. /5'(x, t)) the complex pressure P(x, t) (resp. (x, t) (resp. (/'(x, t)) the complex particle velocity V(x, t) (resp.

1971. II, part A: Properties of gases, liquids and solutions. Academic Press, New York. T. Filippi Introduction This chapter deals with a few methods of common use for the study of the sound field inside an enclosure: factory halls, concert halls, theatres, airplane cabins, cars, trucks .... In the first section, the equations which govern the phenomena are presented and the conditions for existence and uniqueness of the solution are stated" the notions of resonance frequencies and resonance modes (flee oscillations), as well as eigenfrequencies and eigenmodes are introduced.

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