Absorption and Dispersion of Ultrasonic Waves - download pdf or read online

By Karl F. Herzfeld

ISBN-10: 1483230570

ISBN-13: 9781483230573

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It behaves geometrically as a hydrostatic pressure. By eliminating div w from Eq. (6—3) with the help of the continuity equation in the form of Eq. (2 — 2), one can write3, 4 Pa = - 1? 3 4 p Dt L. Tisza, Phys. Rev. 61, 531 (1942). K. F. Herzfeld, / . Acoust. Soc. Am. 13, 33 (1941). (6-6) 38 A. , in the linearized equation, Eq. (6—6) can be written P'" is a scalar like the hydrostatic pressure, but differs from it insofar as the latter depends only on the momentary value of density and temperature, while the former depends on the time variation of the density.

Anal. 2, 643 (1953). Truesdell distinguishes good conductors of heat (molten metals, liquid helium II), moderate conductors (gases), and poor conductors (most liquids) by the magnitude of the Eucken number. 8 9 W. T. Richards and J. A. Reid, / . Chem. Phys. 2, 193 (1934). F. Gutowski, Ph. D. , Washington, / . Acoust. Soc. Am. 28, 478 (1956). , 1956; 10 A. Busala, D. Sette, and J. C. Hubbard, / . Chem. Phys. 23, 787 (1955). 11 T. A. Litovitz, T. Lyon, and L. Peselnick, / . Acoust. Soc. Am. 26, 566 (1954).

We will put the right side of Eq. (7—5"') equal to zero. One then has, from Eqs. (7—5") and (7—5'"), the classical expression, Eq. (4—10) 1 yKT P-Po 1 A> V where 930 is the velocity at low frequency. Equation (7—7) can then be written 1 W ω ) [ 3 /o0S802 \ 93 ω ) (7-7') In first approximation, if (α93)/ω 0 V _ or 93 = 93ft * = 3^ n' 1 ω'. PoV (7-8) For very high frequencies, a more exact evaluation has to be made.

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Absorption and Dispersion of Ultrasonic Waves by Karl F. Herzfeld


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