Artigo
Integral transform solution for hyperbolic heat conduction in a finite slab
Registro en:
0735-1933
10.1016/j.icheatmasstransfer.2009.01.002
Autor
Monteiro, Evaldiney Ribeiro
Macêdo, Emanuel Negrão
Quaresma, João Nazareno Nonato
Cotta, Renato Machado
Institución
Resumen
An analytical integral transformation of the thermal wave propagation problem in a finite slab is obtained through the generalized integral transform technique (GITT). The use of the GITT approach in the analysis of the hyperbolic heat conduction equation leads to a coupled system of second order ordinary differential equations in the time variable. The resulting transformed ODE system is then numerically solved by Gear's method for stiff initial value problems. Numerical results are presented for the local and average temperatures with different Biot numbers and dimensionless thermal relaxation times, permitting a critical evaluation of the technique performance. A comparison is also performed with previously reported results in the literature for special cases and with those produced through the application of the Laplace transform method (LTM), and the finite volume-Gear method (FVGM). Indisponível.