Study on the Joint Entropy Theory of Droplet Spectrum Information and Microstate of Water Drops

Abstract

Abstract When the water jet impinges on the downstream water surface at a high speed, a large number of moving droplets will be formed in the downstream space. The probability distribution of these droplets with different sizes along with the particle size constitutes the droplet spectrum distribution problem of flood discharge atomization. Gamma distribution is commonly used to fit the spectrum of all kinds of precipitation drops. In modeling the particle size distribution of flood discharge atomized droplets, Gamma distribution is often used to simulate the droplet spectrum distribution. However, This method is lack of physical significance, and the calculation accuracy is controversial. In order to overcome the shortcomings of Gamma distribution, a joint distribution model (JDM) of droplet size information entropy and micro state in the non-equilibrium open system was proposed based on the maximum entropy increase method. The results show that compared with the gamma distribution, the JDM model can more accurately describe the variation of droplet spectrum of atomized flow caused by jet overflow.Under different working conditions, the determination coefficient of JDM model calculation results is the highest, 3.5% and 25.3% higher than that of Gamma and Previous maximum entropy principle distribution respectively. The root mean square error of JDM model is the lowest, which is 72.4% and 79% lower than that of Gamma and Maximum Entropy Principle distribution. Therefore, JDM model not only has the physical significance of maximum entropy increase, but also improves the calculation accuracy of droplet spectrum.