Bibliographic Details
| Title: |
The bilinear canonical forms of variational principles in heat conduction theory |
| Authors: |
Vujanović, B. D. |
| Publisher Information: |
Serbian Academy of Sciences and Arts (Srpska Akademija Nauka i Umetnosti - SANU), Belgrade |
| Subject Terms: |
variational principles in heat transfer, bilinear variational principles, Heat and mass transfer, heat flow, Variational principles of physics, Variational methods applied to problems in thermodynamics and heat transfer |
| Description: |
By using the bilinear canonical forms of variational principles, this paper demonstrates that the generalized heat conduction theory in which the velocity of the thermal disturbance through the bodies is finite, can be correctly variationally stated. The Lagrangian functions figuring in the theory are of the bilinear structure, where the bilinearity comes from the fact that the authors introduce approximate doublets of temperature as well as of the heat displacement vector fields. Applying the ideas of the variational principle with vanishing parameter and direct methods of variational calculus, the classical Fourier heat conduction problems are studied. |
| Document Type: |
Article |
| File Description: |
application/xml |
| Access URL: |
https://zbmath.org/1512135 |
| Accession Number: |
edsair.c2b0b933574d..fbf74e9fb4edb637a560c9ad8723cd19 |
| Database: |
OpenAIRE |