Conduction of heat in inhomogeneous solids
Апстракт
In this letter we present a method for calculation of linear heat flow in inhomogeneous solids. The method is based on the evaluation of transfer matrices for each layer in a multilayered structure from the Laplace transformation of the partial differential equation of heat conduction. The multilayered structure is then described by a matrix obtained as a chain of products of individual layer transfer matrices and corresponding boundary thermal resistivity matrices. The analytic expression for the nth power of the multilayered transfer matrix is found, describing a periodic multilayered structure composed of It equal multilayered structures. The application of the presented method for calculation of photothermal signals is also shown. Dispersion relation for the thermal waves in inhomogeneous solids is obtained from the matrix elements of the transfer matrix. Finally, from the dispersion relation explicit expressions for the effective values of thermal diffusivity and conductivity of b...oth the discontinuously and continuously inhomogeneous solids are evaluated. (C) 1998 American Institute of Physics.
Извор:
Applied Physics Letters, 1998, 73, 3, 321-323
DOI: 10.1063/1.121821
ISSN: 0003-6951
WoS: 000075275600015
Scopus: 2-s2.0-0000048112
Колекције
Институција/група
VinčaTY - JOUR AU - Dramićanin, Miroslav AU - Ristovski, Zoran AU - Đoković, Vladimir AU - Galović, Slobodanka PY - 1998 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2164 AB - In this letter we present a method for calculation of linear heat flow in inhomogeneous solids. The method is based on the evaluation of transfer matrices for each layer in a multilayered structure from the Laplace transformation of the partial differential equation of heat conduction. The multilayered structure is then described by a matrix obtained as a chain of products of individual layer transfer matrices and corresponding boundary thermal resistivity matrices. The analytic expression for the nth power of the multilayered transfer matrix is found, describing a periodic multilayered structure composed of It equal multilayered structures. The application of the presented method for calculation of photothermal signals is also shown. Dispersion relation for the thermal waves in inhomogeneous solids is obtained from the matrix elements of the transfer matrix. Finally, from the dispersion relation explicit expressions for the effective values of thermal diffusivity and conductivity of both the discontinuously and continuously inhomogeneous solids are evaluated. (C) 1998 American Institute of Physics. T2 - Applied Physics Letters T1 - Conduction of heat in inhomogeneous solids VL - 73 IS - 3 SP - 321 EP - 323 DO - 10.1063/1.121821 UR - https://hdl.handle.net/21.15107/rcub_vinar_2164 ER -
@article{ author = "Dramićanin, Miroslav and Ristovski, Zoran and Đoković, Vladimir and Galović, Slobodanka", year = "1998", abstract = "In this letter we present a method for calculation of linear heat flow in inhomogeneous solids. The method is based on the evaluation of transfer matrices for each layer in a multilayered structure from the Laplace transformation of the partial differential equation of heat conduction. The multilayered structure is then described by a matrix obtained as a chain of products of individual layer transfer matrices and corresponding boundary thermal resistivity matrices. The analytic expression for the nth power of the multilayered transfer matrix is found, describing a periodic multilayered structure composed of It equal multilayered structures. The application of the presented method for calculation of photothermal signals is also shown. Dispersion relation for the thermal waves in inhomogeneous solids is obtained from the matrix elements of the transfer matrix. Finally, from the dispersion relation explicit expressions for the effective values of thermal diffusivity and conductivity of both the discontinuously and continuously inhomogeneous solids are evaluated. (C) 1998 American Institute of Physics.", journal = "Applied Physics Letters", title = "Conduction of heat in inhomogeneous solids", volume = "73", number = "3", pages = "321-323", doi = "10.1063/1.121821", url = "https://hdl.handle.net/21.15107/rcub_vinar_2164" }
Dramićanin, M., Ristovski, Z., Đoković, V.,& Galović, S.. (1998). Conduction of heat in inhomogeneous solids. in Applied Physics Letters, 73(3), 321-323. https://doi.org/10.1063/1.121821 https://hdl.handle.net/21.15107/rcub_vinar_2164
Dramićanin M, Ristovski Z, Đoković V, Galović S. Conduction of heat in inhomogeneous solids. in Applied Physics Letters. 1998;73(3):321-323. doi:10.1063/1.121821 https://hdl.handle.net/21.15107/rcub_vinar_2164 .
Dramićanin, Miroslav, Ristovski, Zoran, Đoković, Vladimir, Galović, Slobodanka, "Conduction of heat in inhomogeneous solids" in Applied Physics Letters, 73, no. 3 (1998):321-323, https://doi.org/10.1063/1.121821 ., https://hdl.handle.net/21.15107/rcub_vinar_2164 .