English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

An exactly solvable model in heat conduction is considered. The$C$-integrable (i.e., change-of-variables-integrable) equation for second sound(i.e., heat wave) propagation in a thin, rigid dielectric heat conductoruniformly heated on its lateral side by a surrounding medium under theStefan--Boltzmann law is derived. A simple change-of-variables transformationis shown to exactly map the nonlinear governing partial differential equationto the classical linear telegrapher's equation. In a one-dimensional context,known integral-transform solutions of the latter are adapted to construct exactsolutions relevant to heat transfer applications: (i) the initial-value problemon an infinite domain (the real line), and (ii) the initial-boundary-valueproblem on a semi-infinite domain (the half-line). Possible "second lawviolations" and restrictions on the $C$-transformation are noted for some setsof parameters.

On a $C$-integrable equation for second sound propagation in heated dielectrics