Heat diffusion in a homogenous slab with an  arbitrary periodical heat source: The case of the sinusoidal modulation function

dc.creator	J. B. Rojas-Trigos
dc.creator	A. Calderón
dc.date	2011-12-01T00:00:00Z
dc.date.accessioned	2015-07-20T22:15:53Z
dc.date.available	2015-07-20T22:15:53Z
dc.identifier	1870-9095
dc.identifier	https://doaj.org/article/c966139388134025a1f6dd6ce69dc4b8
dc.identifier.uri	http://evidence.thinkportal.org/handle/123456789/17995
dc.description	The starting point in the study of the heat transfer and their applications is the solution of the heat diffusion equation with a particular boundary conditions kind congruent to the physical circumstances of the problem under consideration. Here, we calculate the solutions of the heat diffusion equation by means of the Green’s functions technique, constrained by Dirichlet, Neumann and Robin’s boundary conditions; making a comparison between the obtained solutions and discussing the behavior of the thermal response for every case. The calculations were done for an ideal homogonous solid sample, with a cylindrical symmetry, under the consideration of an arbitrary periodical heat source on one face of the sample. Finally, considering the particular case of a sinusoidal heat source, usually used for the standard models in the field of the photothermal science and techniques, is discussed the thermal response for each case of the three boundary conditions kind.
dc.language	English
dc.language	Spanish
dc.language	Portuguese
dc.publisher	Instituto Politécnico Nacional, Latin American Physics Education Network
dc.relation	http://www.lajpe.org/dec11/LAJPE_A_Calderon_Heat_diffusion_corr_preprint_f.pdf
dc.relation	https://doaj.org/toc/1870-9095
dc.source	Latin-American Journal of Physics Education, Vol 5, Iss 4, Pp 709-716 (2011)
dc.subject	Diffusion equation
dc.subject	homogenous solid
dc.subject	photoacoustic technique
dc.subject	periodical function
dc.subject	sinusoidal modulation
dc.subject	thermal diffusivity
dc.subject	thermal wave.
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	DOAJ:Education
dc.subject	DOAJ:Social Sciences
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	DOAJ:Education
dc.subject	DOAJ:Social Sciences
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.title	Heat diffusion in a homogenous slab with an arbitrary periodical heat source: The case of the sinusoidal modulation function
dc.type	article