Geodesic
Hyperbolic heat conduction in two semi-infinite bodies in contact
Applications of Mathematics, Tome 50 (2005) no. 1, pp. 27-42

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We find, under the viewpoint of the hyperbolic model of heat conduction, the exact analytical solution for the temperature distribution in all points of two semi-infinite homogeneous isotropic bodies that initially are at uniform temperatures $T_0^1$ and $T_0^2$, respectively, suddenly placed together at time $t=0$ and assuming that the contact between the bodies is perfect. We make graphics of the obtained temperature profiles of two bodies at different times and points. And finally, we compare the temperature solution obtained from hyperbolic model to the parabolic or classical solution, for the same problem of heat conduction.
DOI : 10.1007/s10492-005-0002-6
Classification : 35L20, 80A20
Keywords: hyperbolic heat conduction; relaxation time 
@article{10_1007_s10492_005_0002_6,
     author = {L\'opez Molina, Juan Antonio and Guill\'en, Macarena Trujillo},
     title = {Hyperbolic heat conduction in two semi-infinite bodies in contact},
     journal = {Applications of Mathematics},
     pages = {27--42},
     publisher = {mathdoc},
     volume = {50},
     number = {1},
     year = {2005},
     doi = {10.1007/s10492-005-0002-6},
     mrnumber = {2117694},
     zbl = {1099.80005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0002-6/}
}
TY  - JOUR
AU  - López Molina, Juan Antonio
AU  - Guillén, Macarena Trujillo
TI  - Hyperbolic heat conduction in two semi-infinite bodies in contact
JO  - Applications of Mathematics
PY  - 2005
SP  - 27
EP  - 42
VL  - 50
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0002-6/
DO  - 10.1007/s10492-005-0002-6
LA  - en
ID  - 10_1007_s10492_005_0002_6
ER  - 
%0 Journal Article
%A López Molina, Juan Antonio
%A Guillén, Macarena Trujillo
%T Hyperbolic heat conduction in two semi-infinite bodies in contact
%J Applications of Mathematics
%D 2005
%P 27-42
%V 50
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0002-6/
%R 10.1007/s10492-005-0002-6
%G en
%F 10_1007_s10492_005_0002_6
López Molina, Juan Antonio; Guillén, Macarena Trujillo. Hyperbolic heat conduction in two semi-infinite bodies in contact. Applications of Mathematics, Tome 50 (2005) no. 1, pp. 27-42. doi: 10.1007/s10492-005-0002-6

Cité par Sources :