By Karl F. Herzfeld
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Extra info for Absorption and Dispersion of Ultrasonic Waves
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
Absorption and Dispersion of Ultrasonic Waves by Karl F. Herzfeld