Uniformly valid solution for acoustic propagation in weakly tapered circular waveguides: Liquid jet example

Journal of the Acoustical Society of America

Volumn 124, Issue 1, 2008, Pages 151-160

  Lonzaga, Joel B ^a,b   Thiessen, David B ^a   Marston, Philip L ^a  

^a WASHINGTON STATE UNIVERSITY   (United States)

^b NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORPTION; ACOUSTIC WAVES; ACOUSTICS; CRACK PROPAGATION; LIQUIDS; NUMERICAL ANALYSIS; ULTRASONICS; WAVEGUIDES;

ACOUSTIC PROPAGATION; ACOUSTICAL SOCIETY OF AMERICA (ASA); ASYMPTOTIC SOLUTIONS; FINITE ELEMENT (FE); LAMINAR LIQUID JETS; LIQUID DROPS; LIQUID JETS; LOSS OF ENERGY; METHOD OF MULTIPLE SCALES; NUMERICAL CALCULATIONS; POTENTIAL APPLICATIONS; TURNING POINTS; WAVE AMPLITUDES;

JETS;

ABSORPTION; ACOUSTICS; AMPLITUDE MODULATION; ARTICLE; CALCULATION; ENERGY; FINITE ELEMENT ANALYSIS; LAMINAR FLOW; LIQUID; PRIORITY JOURNAL; SIGNAL TRANSDUCTION; SPIKE WAVE; ULTRASOUND; VALIDATION PROCESS; VISCOSITY;

ACOUSTICS; HUMANS; MODELS, THEORETICAL; TEMPERATURE; ULTRASONICS; VISCOSITY;

EID: 47649086147     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2932348     Document Type: Article

References (18)

1. J. B. Lonzaga, C. F. Osterhoudt, D. B. Thiessen, and P. L. Marston, " Liquid jet response to internal modulated ultrasonic radiation pressure and stimulated drop production.," J. Acoust. Soc. Am. 121, 3323-3330 (2007).
2. R. E. Langer, " On the asymptotic solutions of ordinary differential equations, with an application to the Bessel functions of large order.," Trans. Am. Math. Soc. 33, 23-64 (1931).
3. R. E. Langer, " On the connection formulas and the solutions of the wave equation.," Phys. Rev. 51, 669-676 (1937).
4. A. H. Nayfeh and D. P. Telionis, " Acoustic propagation in ducts with varying cross sections.," J. Acoust. Soc. Am. 54, 1654-1661 (1973).
5. A. F. Stevenson, " Exact and approximate equations for wave propagation in acoustic horns.," J. Appl. Phys. 22, 1461-1463 (1951).
6. B. Z. Katsenelenbaum, " On the theory of irregular acoustic waveguides.," Sov. Phys. Acoust. 7, 159-164 (1961).
7. R. J. Temkin, " Analytic theory of a tapered gyrotron resonator.," Int. J. Infrared Millim. Waves 2, 629-650 (1981).
8. J. B. Lonzaga, " Capillary jets in normal gravity: asymptotic stability analysis and excitation using Maxwell and ultrasonic radiation stresses.," Ph.D. thesis, Washington State University, 2007.
9. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), pp. 1092-1105.
10. L. I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1948), pp. 180-181.
11. P. Huerre and P. A. Monkewitz, " Local and global instabilities in spatially developing flows.," Annu. Rev. Fluid Mech. 22, 473-537 (1990).
12. P. A. Monkewitz, P. Huerre, and J. M. Chomaz, " Global linear stability analysis of weakly non-parallel shear flows.," J. Fluid Mech. 251, 1-20 (1993).
13. S. W. Rienstra, " Sound transmission in slowly varying circular and annular lined ducts with flow.," J. Fluid Mech. 380, 279-296 (1999).
14. M. J. Hancock and J. W. M. Bush, " Fluid pipes.," J. Fluid Mech. 466, 285-304 (2002).
15. A. Nayfeh, Perturbation Methods (Wiley, New York, 1973), pp. 340-341.
16. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists (Harcourt Academic, San Diego, 2001), pp. 575-577.
17. G. Goddard and G. Kaduchak, " Ultrasonic particle concentration in a line-driven cylindrical tube.," J. Acoust. Soc. Am. 117, 3440-3447 (2005).
18. W. Wei, D. B. Thiessen, and P. L. Marston, " Acoustic radiation force on a compressible cylinder in a standing wave.," J. Acoust. Soc. Am. 116, 201-208 (2004).