I.V.Vovk, L.I.Kosovec, V.T.Matsypura, V.N.Oliynik Modeling of the process of sound propagation in human thorax. Part 1. Theory |
Acoustic bulletin, Vol. 14 ¹ 2, (2011) |
| The physical and mathematical models of human thorax are proposed, with the allowance for mediastinum, left and right lungs and environmental air. The corresponding problem on sound propagation has been solved by the method of partial domains. In doing so, the sound sources were assumed to be generated by the tracheal oscillations and point sources in the lungs. The fulfillment quality for the boundary conditions and matching conditions for pressure and vibrational velocity fields has been numerically estimated on the interfaces of subdomains. It is found that for satisfactory meeting of matching conditions in frequency range 100 of 1500 Hz, it is sufficient to retain 130 to 520 unknown complex coefficients when solving the corresponding algebraic systems. The error of fulfillment of energy conservation law in this case is found to be ≤ 3·10-4%. |
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KEY WORDS: thorax, biological tissues, method of partial domains, sound pressure, vibrational velocity, acoustic transparency |
| TEXT LANGUAGE: Russian |