TY - JOUR TI - A new scaling law heat conduction problem associated with the Korcak scaling law AU - Yang Xiao-Jun AU - Abdel-Aty Mahmoud AU - Khder Moaiad A. A. JN - Thermal Science PY - 2022 VL - 26 IS - 2 SP - 1047 EP - 1059 PT - Article AB - In this article, we address a new model for the scaling law heat conduction problem by using the scaling law vector calculus associated with the Korcak scaling law. The scaling law heat conduction equations are discussed in detail. The scaling law vector calculus formulas are proposed as an efficiently mathematical tool to describe the Korcak scaling -law phenomena in heat transport system.