TY - JOUR
TI - A new viewpoint on theory of the scaling-law heat conduction process
AU - Yang Xiao-Jun
AU - Cui Ping
AU - Liu Jian-Gen
JN - Thermal Science
PY - 2021
VL - 25
IS - 6
SP - 4505
EP - 4513
PT - Article
AB - In this article, we suggest a new model for the heat-conduction problem by  us­ing the scaling-law vector calculus with Mandelbrot scaling law. The  linear and non-linear scaling-law heat conduction equations are considered  as analogues to the work of Fourier, Laplace, and Burgers. The obtained  results are considered as typical examples to deal with the Mandelbrots  scaling-law phenomena in heat transport system.