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TECHNICAL PAPERS

Viscosity Effects on the Propagation of Acoustic Transients

[+] Author and Article Information
G. C. Gaunaurd, G. C. Everstine

Naval Surface Warfare Center Carderock Division Bethesda, MD 20817-5700

J. Vib. Acoust 124(1), 19-25 (Jul 01, 2001) (7 pages) doi:10.1115/1.1419203 History: Received July 01, 2000; Revised July 01, 2001
Copyright © 2002 by ASME
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References

Stokes,  G. G., 1845, “On the Theories of the Internal Friction of Fluids in Motion and of the Equilibrium and Motion of Elastic Solids,” Trans. Cambridge Philos. Soc., 8, pp. 287–319.
Lamb, H., 1945, Hydrodynamics, sixth edition, Dover Publications, Inc., Mineola, New York.
Malecki, I., 1969, Physical Foundations of Technical Acoustics, Pergamon Press, Oxford, England.
Officer, C., 1958, Introduction to the Theory of Sound Transmission, McGraw-Hill Book Company, Inc., New York.
Morse, P. M., and Ingard, K. U., 1968, Theoretical Acoustics, McGraw-Hill Book Company, Inc., New York.
Blackstock,  D. T., 1967, “Transient Solution for Sound Radiated into a Viscous Fluid,” J. Acoust. Soc. Am., 41, pp. 1312–1319.
Ludwig,  R., and Levin,  P. L., 1995, “Analytical and Numerical Treatment of Pulsed Wave Propagation into a Viscous Fluid,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 42, pp. 789–792.
Szabo,  T. L., 1968, “Lumped-Element Transmission-Line Analog of Sound in a Viscous Medium,” J. Acoust. Soc. Am., 45, pp. 124–130.
Lagerstrom, P. A., Cole, J. D., and Trilling, L., 1949, “Problems in the Theory of Viscous Compressible Fluids,” Technical Report, Guggenheim Aeronautical Laboratory, California Institute of Technology, Pasadena, CA.
Jackson, J. D., 1962, Classical Electrodynamics, John Wiley and Sons, Inc., New York.
Weymann,  H. D., 1967, “Finite Speed of Propagation in Heat Conduction, Diffusion and Viscous Shear Motion,” Am. J. Phys., 35, pp. 488–496.
Abramowitz, M., and Stegun, I., eds. 1964, Handbook of Mathematical Functions, U.S. Government Printing Office, Washington, DC.
Erdelyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F. G., 1954, Tables of Integral Transforms, Volumes I and II, McGraw-Hill, Inc., New York.
Hartree,  D. R., 1935, “Some Properties and Applications of the Repeated Integrals of the Error Function,” Proceedings of the Manchester Literary and Philosophical Society,80, pp. 85–102.
Carslaw, H. S., and Jaeger, J. C., 1941, Operational Methods in Applied Mathematics, Clarendon Press, Oxford, England.
Brekhovskikh, L. M., 1960, Waves in Layered Media, Academic Press, Inc., New York.

Figures

Grahic Jump Location
The p-plane with the locations of p0, α, and the path C of steepest descents
Grahic Jump Location
The ω solutions of the dispersion relation
Grahic Jump Location
Contour plot of nondimensional velocity vs. nondimensional distance and time. The numbers along the curves are the constant values of “ubar” along each curve.
Grahic Jump Location
Plot of the nondimensional velocity (ubar) vs. nondimensional time (tbar) for several values of the nondimensional distance (xbar).
Grahic Jump Location
Plot of nondimensional velocity vs. nondimensional distance for several values of nondimensional time

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