A new insight on analytical theory of the scaling law heat conduction associated with the Richardson scaling law

Abstract

In this article, we propose a new model for the scaling law heat conduction equation associated with the Richardson scaling law. To find the analytical solution for it, we present a scaling law series associated with the Kohlrausch-Williams-Watts function analogous to the Fourier series. The proposed technology is efficient to handle the Richardson scaling law problems in mathematical physics.