Abstract
Based on the dual variational formulation of the nonlinear stationary heat conduction problem, a mathematical model is constructed that describes the temperature state of a stationary medium in a volume of an arbitrary shape. The thermal conductivity of the medium and the volumetric energy release depend on the temperature. This model is applied to analyzing the conditions of thermal explosion in an infinitely long circular cylinder for exponential temperature dependences of the above parameters. In the particular case of constant thermal conductivity of this cylinder, a comparison with the published results is carried out.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
