Numerical solution of transient temperature for pulsed heating in a single spherical particle model

Author:

Grozescu I.V.,Moksin M.M.

Abstract

Photothermal technique provides a convenient means for detecting the change in pulse‐induced thermal radiation emission from a single spherical particle. The change in the emitted blackbody radiation is determined by the change in the surface temperature of the particle which in turn can be derived from heat conduction equation. Numerical solution to the heat conduction equation for a single spherical particle model on thermally bad conducting samples is derived and compared with a relatively simple analytical solution. Some results for particles of interest are discussed.

Publisher

Emerald

Subject

Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference6 articles.

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2. Doetsch, G. and Herschel, R. (1971, Guide to the Applications of the Laplace and B‐Transforms, Van Nostrand Reinhold, London.

3. Krylov, V.I. and Skoblia, N.S. (1969, Handbook of Numerical Inversion of Laplace Transforms (Translated from Russian), Israel Program for Scientific Translations, Jerusalem.

4. Moksin, M.M. (1995, “Optothermal study of small single particles”, Review of Scientific Instruments, Vol. 66 No. 9, pp. 4716‐17.

5. Oberhettinger, F. and Badii, L. (1973, Tables of Laplace Transforms, Springer‐Verlag, Berlin.

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