TY - JOUR TI - Fabric color formulation using a modified Kubelka-Munk theory considering thermal effect AU - Lin Ling AU - Zhao Ling JN - Thermal Science PY - 2023 VL - 27 IS - 3 SP - 1811 EP - 1818 PT - Article AB - The Kubelka-Munk function is simple but it ignores the film's thickness, so its applications are greatly limited. Though the exact relationship between the Kubelka-Munk function and the thickness can be derived from a differential model, it is too complex to be practically used. Here a modification is suggested by taking the thickness effect and the temperature effect into account, and the validity is widely enlarged. The modified Kubelka-Munk theory can be used as a color-matching model for colorful fabrics. If the porosity of the film is considered, a fractal modification with two-scale fractal derivative has to be adopted.