Approximate Solutions for Heat Conduction: Time Constants
Part of the
Lasers, Photonics, and Electro-Optics
book series (LPEO)
Several exact solutions for the heat conduction equation are presented in Chapter 12. As shown in Chapter 12, the solution for an instantaneous point source can be integrated over space and time to obtain the temperature response due to laser radiation. If the geometry and boundary conditions of a problem preclude the use of analytical methods, then a number of numerical methods, such as finite difference or finite element, can be employed.
KeywordsTime Constant Heat Conduction Temperature Rise Temperature Response Fluence Rate
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.
Anderson RR, Parrish JA. “Microvasculature can be selectively damaged using dye lasers: A basic theory and experimental evidence in human skin,” Lasers Surg. Med.
: 263–270 (1981).CrossRefGoogle Scholar
Lahaye CTW, van Gemert MJC. “Optimal laser parameters for portwine stain therapy: A theoretical approach,” Phys. Med. Biol.
: 573–589 (1984).CrossRefGoogle Scholar
Furzikov NP. “Different lasers for angioplasty: Thermo-optical comparison,” IEEE J Quantum Electron
: 1751–1755 (1987).Google Scholar
van Gemert MJC, Welch AJ. “Time constants in thermal laser medicine,” Lasers Surg. Med.
: 405–421 (1989).CrossRefGoogle Scholar
Svaasand LO. “On the propagation of thermal waves in blood perfused tissue,” Lasers Life Sci
: 289–311 (1988).Google Scholar
Carslaw HS, Jaeger JC. Conduction of Heat in Solids
, 2nd ed., Clarendon Press, Oxford, 1986.zbMATHGoogle Scholar
Pickering JW, Butler PH, Ring BJ, Walker EP. “Computed temperature distributions around ectatic capillaries exposed to yellow (578 nm) laser light,” Phys. Med. Biol.
: 1247–1258 (1989).CrossRefGoogle Scholar
Brugmans MJP, Kemper J, Gijsbers GHM, Meulen FW van der, Gemert MJC van. “Temperature response of biological materials to pulsed non-ablative CO2
laser irradiation,” Laser Surg. Med.11
: 587–594 (1991).CrossRefGoogle Scholar
Meijering LJT, Gemert MJC van, Gijsbers GHM, Welch AJ. “Limits of radial time constants to approximate thermal response of tissue,” Lasers Surg. Med.
: 685–687 (1993).CrossRefGoogle Scholar
Jaeger JC. “Pulsed surface heating of a semi-infinite solid,” Q. Appl. Math.
: 132–137 (1953).zbMATHGoogle Scholar
© Springer Science+Business Media New York 1995