Abstract
We theoretically and experimentally demonstrate that the one-dimensional heat conduction in dielectrics and metals is ruled by the invariant , where T is the temperature and z an arbitrary position within the heated material of length L. This is achieved using the integral expressions predicted by the Boltzmann transport equation, under the gray relaxation time approximation, for the steady-state temperature and heat flux, and measuring the temperature at three equidistant positions in rods of Si, Cu, and Fe-C excited with temperatures much smaller than their corresponding Debye ones. The obtained temperature invariant for symmetrical positions could be applied to describe the heating of materials supporting one-dimensional heat conduction.
Sign-in/Register to access full text options 
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.
