By P. Filippi, et al.

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**Extra resources for Acoustics. Basic Physics, Theory and Methods**

**Example text**

E. the source term of the equation that governs acoustic pressure. 30), but now taking into account non-linear terms describing acoustic emission by turbulence (Lighthill's theory), this source term is Sp Oil 1. . Ot +- V . V. e. time rate input of mass per unit volume, or mass injection per unit volume per unit time: dimension M L - 3 T -1 in mass M, length L, time T). The radiation condition of mass flow inputs is their non-stationarity. In this category one finds unsteady or transient flows and all usual sources of 'domestic' acoustics (vibrating surfaces acting as pistons injecting matter).

1959. Absorption and dispersion of ultrasonic waves. Academic Press, New York. , 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.

2. e. with V • f f l _ 0 and V . fi'~- 0, where 4~ and ~ are the scalar and vector potentials. Similarly for the applied forces: ffl _ VG 1 + V x / q l . Then the linearized motion equation is decomposed into p0 ~O2ffl _ (A0 + 2/z0)V(V . ff~) = VG 1 Ot 2 pO 02 ffl 0V +u Ot 2 xVx~s~ = v x # ~ or, since V2ff - V . ( V f f ) = V ( V . i f ) - V x V x #, V x # ~ - 0 and V . 94) are wave equations. e. pressure waves zT~, derived from a scalar potential 4~ by ff~ - V4~, characterized by V • ff~ - 0 and V .

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