I.V.Vovk, O.I.Vovk Sound propagation in human bronhial tree. Part I. Theory |
Acoustic bulletin, Vol. 3 ¹ 2, (2000) |
| Analysis of geometric, physical and wave parameters of a bronchial tree and its elements has been conducted shown that in frequency region up to 1000 Hz all geometric parameters of airways (except the length of trachea) are sufficiently smaller than the sound wavelength, which propagates inside a bronchial tree. It is established that jump of section in the point of articulation of adjacent airways can significantly affect the sound propagation in a bronchial tree. At the same time, bifurcation of the airways has almost no impact on this process. Acoustical and mathematical models of airways (taking into account compliance of their walls) and of parts of articulation between them are stated. Corresponding boundary problems for the Helmholtz equation are solved. Obtained results allowed us to develop an algorithm of general solving for the problem of wave propagation in a bronchial tree. |
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KEY WORDS: bronchial tree, airways, an air sound propagation channel |
| TEXT LANGUAGE: Russian |