TY - JOUR
T1 - Lagrangian formulation of unsteady non-linear heat transfer problems
AU - Lebon, G.
AU - Casas-Vazquez, J.
PY - 1974/1/1
Y1 - 1974/1/1
N2 - Lebon-Lambermont's variational principle is used to solve some problems of unsteady heat conduction in semi-infinite solids. These are characterized by temperature dependent heat conductivity and heat capacity. Two kinds of boundary conditions are applied: prescribed temperature history and prescribed heat flux across the surface. This latter problem is investigated by means of the technique proposed by Lardner and Rafalski-Zyskowsky. The results are compared with exact ones, when available, or with those obtained from other variational principles like Biot's and Vujanovic's. In all cases, agreement is very satisfactory. © 1974, Noordhoff International Publishing. All rights reserved.
AB - Lebon-Lambermont's variational principle is used to solve some problems of unsteady heat conduction in semi-infinite solids. These are characterized by temperature dependent heat conductivity and heat capacity. Two kinds of boundary conditions are applied: prescribed temperature history and prescribed heat flux across the surface. This latter problem is investigated by means of the technique proposed by Lardner and Rafalski-Zyskowsky. The results are compared with exact ones, when available, or with those obtained from other variational principles like Biot's and Vujanovic's. In all cases, agreement is very satisfactory. © 1974, Noordhoff International Publishing. All rights reserved.
U2 - https://doi.org/10.1007/BF02353702
DO - https://doi.org/10.1007/BF02353702
M3 - Article
VL - 8
SP - 31
EP - 44
JO - Journal of Engineering Mathematics
JF - Journal of Engineering Mathematics
SN - 0022-0833
ER -