Advertisement

Thermal-Wave Fields in Cylindrical Coordinates

  • Andreas Mandelis

Abstract

In this chapter, several thermal-wave fields will be constructed based on Green functions derived in Chapter 5. Cylidrical coordinates are the geometry of choice with many thermal-wave fields generated by lasers as modulated photothermal sources, which possess cylindrical spatial symmetry when emitting in the TEM00 Gaussian mode. The chapter starts with fields in laterally infinite domains, in single-layered and multilayered solids; then, it continues with cylindrical geometries of finite radii and composite cylinders made of concentric layers of thermally different media. Generalized cases involving arbitrary thermal-wave source distributions beyond the cylindrically symmetric Gaussian source are further explored and the chapter closes with edge and wedge geometries.

Keywords

Heat Transfer Coefficient Green Function Thermophysical Property Modify Bessel Function Homogeneous Boundary Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. C. Aamodt and J. C. Murphy, J. Appl. Phys. 52, 4903 (1981).ADSCrossRefGoogle Scholar
  2. L. C. Aamodt, J. C. Murphy, and J. G. Parker, J. Appl. Phys. 48, 927 (1977).ADSCrossRefGoogle Scholar
  3. M. Abramowitz and I. A, Stegun, eds., Handbook of Mathematical Functions (National Bureau of Standards Appl. Math Ser. 55, Washington, DC, 1964).zbMATHGoogle Scholar
  4. V. S. Arpaci, Conduction Heat Transfer (Addison-Wesley, Reading MA, 1966).zbMATHGoogle Scholar
  5. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids (Oxford University Press, Oxford, 1959).Google Scholar
  6. M. Chirtoc, D. Dadarlat, and D. Bicanic, in Photoacoustic and Photothermal Phenomena III, (D. Bicanic, ed.), (Springer-Verlag, New York, 1992), p. 103.Google Scholar
  7. P. Cielo, L. A. Utracki, and M. Lamontagne, Can. J. Phys. 64, 1172 (1986).ADSCrossRefGoogle Scholar
  8. L. Fabbri and P. Fenici, Rev. Sci. Instrum. 66, 3593 (1995).ADSCrossRefGoogle Scholar
  9. L. D. Favro, P-K. Kuo, and R. L. Thomas, in Photoacoustic and Thermal Wave Phenomena in Semiconductors (A. Mandelis, ed.), (North-Holland, New York, 1987), Chap. 4.Google Scholar
  10. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (English Translation) (A. Jeffrey, ed.), (Academic, Orlando, FL, 1980).Google Scholar
  11. J. D. Jackson, Classical Electrodynamics, 2nd Ed. (Wiley, New York, 1975).zbMATHGoogle Scholar
  12. W. B. Jackson, N. M. Amer, A. C. Boccara and D. Fournier, Appl. Opt. 20, 1333 (1981).ADSCrossRefGoogle Scholar
  13. Y. Kohanzadeh, J. R. Whinnery and M. M. Carroll, J. Acoust. Soc. Am. 57, 67 (1975).ADSCrossRefGoogle Scholar
  14. F. A. McDonald, Appl. Opt. 18, 1363 (1979).ADSCrossRefGoogle Scholar
  15. F. A. McDonald, Can. J. Phys. 64, 1023 (1986).ADSCrossRefGoogle Scholar
  16. J. F. McClelland and R. N. Kniseley, Appl. Phys. Lett. 28, 467 (1976).ADSCrossRefGoogle Scholar
  17. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Vol. I (McGraw-Hill, New York, 1953).zbMATHGoogle Scholar
  18. W. Nowacki, Thermoelasticity, Pergamon, Oxford, 1962.Google Scholar
  19. A. Ocariz, A. Sanchez-Lavega and A. Salazar, J. Appl. Phys. 81, 7552 (1997a).ADSCrossRefGoogle Scholar
  20. A. Ocariz, A. Sanchez-Lavega and A. Salazar, J. Appl. Phys. 81, 7561 (1997b).ADSCrossRefGoogle Scholar
  21. E. T. Ogawa, C. Hu and P. S. Ho, J. Appl. Phys. 86, 6018 (1999).ADSCrossRefGoogle Scholar
  22. L. Qian and P. Li, Appl. Opt. 29, 4241 (1990).ADSCrossRefGoogle Scholar
  23. A. Rosencwaig and A. Gersho, J. Appl. Phys. 47, 64 (1976).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Andreas Mandelis
    • 1
  1. 1.Department of Mechanical and Industrial Engineering, Photothermal and Optoelectronic Diagnostics LaboratoryUniversity of TorontoTorontoCanada

Personalised recommendations