Thermal-Wave Fields in Cylindrical Coordinates

  • Andreas Mandelis


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.


Heat Transfer Coefficient Green Function Thermophysical Property Modify Bessel Function Homogeneous Boundary Condition 
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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

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