Exact solutions to one-dimensional acoustic fields with temperature gradient and mean flow

Journal of the Acoustical Society of America

Volumn 108, Issue 1, 2000, Pages 38-43

  Karthik, B ^a   Kumar, B M ^a   Sujith, R I ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; FLOW; GEOMETRY; MATHEMATICAL ANALYSIS; PRESSURE; PRIORITY JOURNAL; REVIEW; SOUND; TEMPERATURE DEPENDENCE; WAVEFORM;

ACOUSTICS; HUMANS; MODELS, THEORETICAL; TEMPERATURE;

EID: 0033910781     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.429442     Document Type: Review

References (19)

1. A. Cummings, "Ducts with axial temperature gradients: An approximate solution for sound transmission and generation," J. Sound Vib. 51, 55-67 (1977).
2. K. S. Peat, "The transfer matrix of a uniform duct with a linear temperature gradient," J. Sound Vib. 123, 43-53 (1988).
3. M. L. Munjal and M. G. Prasad, "On plane-wave propagation in a uniform pipe in the presence of a mean flow and a temperature gradient," J. Acoust. Soc. Am. 80, 1501-1506 (1986).
4. A. Kapur, A. Cummings, and P. Mungur, "Sound propagation in a combustion can with axial temperature and density gradients," J. Sound Vib. 25, 129-138 (1972).
5. M. Salikuddin and B. T. Zinn, "Adaptation of impedance tube technique for the measurement of combustion process admittances," J. Sound Vib. 68, 119-132 (1980).
6. J. D. Baum, B. R. Daniel, and B. T. Zinn, "Determination of solid propellant admittance by the impedance tube technique," AIAA Paper No. 80-0281 (1980).
7. L. Meyer, B. R. Daniel, and B. T. Zinn, "Acoustic radiation from axisymmetric ducts: A comparison of theory and experiment," AIAA Paper No. 80-0097 (1981).
8. B. T. Zinn and L. Narayanasami, "Application of impedance tube technique in the measurement of driving provided by solid prupellants during combustion instabilities," Acta Astron. 9, 303-315 (1982).
9. L. M. Matta and B. T. Zinn, "Theoretical study of flow turning losses in the presence of temperature gradients," AIAA Paper No. 94-0099 (1994).
10. R. I. Sujith, G. A. Waldherr, and B. T. Zinn, "An exact solution for one-dimensional acoustic fields in ducts with an axial temperature gradient," J. Sound Vib. 184, 389-402 (1995).
11. B. Manoj Kumar and R. I. Sujith, "Exact solution for one-dimensional acoustic fields in ducts with a quadratic mean temperature profile," J. Acoust. Soc. Am. 101, 3798-3799 (1997).
12. B. Manoj Kumar and R. I. Sujith, "Exact solution for one-dimensional acoustic fields in ducts with polynomial temperature profiles," Trans. ASME, J. Vib. Acoust. 120, 965-969 (1998).
13. G. Cherng and T. Y. Na, "Unsteady isentropic flow through ducts with prescribed sound pressure level distribution," Trans. ASME, J. Vib. Acoust. 117, 279-284 (1995).
14. M. L. Munjal and A. G. Doige, "The two microphone method incorporating the effects of mean flow and acoustic damping," J. Sound Vib. 137, 135-138 (1990).
15. F. E. C. Culick, "Acoustic oscillations in solid propellant rocket chambers," Astronautica Acta 12(2), 113-126 (1966).
16. M. Humi and W. Miller, Second Course in Ordinary Differential Equations for Scientists and Engineers (Springer-Verlag, New York, 1988).
17. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Wiley, New York, 1972).
18. N. Lebedeu, Special Functions and Their Applications (Dover, New York, 1972).
19. M. G. Prasad and M. J. Crocker, "Evaluation of four-pole parameters for a straight pipe with a mean flow and a linear temperature gradient," J. Acoust. Soc. Am. 69, 916-921 (1981).