粉体堆积密度的理论计算

Theoretical Calculation for Packing Density of Powder

考察了紧密堆积时多级理想球形颗粒混合粉体的堆积密度的理论值与粒级组分数的关系,紧密堆积时颗粒的粒度分布特征,以及堆积密度的理论值与单一粒径粉体空隙体积分数、颗粒干扰宽度的相关关系。研究表明,原始堆积密度越大,多粒级理想球形颗粒混合粉体达到相同的堆积密度所需的粒级数越少,各粒级的体积含量随着粒级的增加呈指数下降,且原始堆积密度越大,下降速度越快;其粒度分布符合对数正态分布;堆积密度的理论值与单一粉体空隙体积分数、颗粒干扰宽度的符合二元二次非线性关系。

The relationship between the number of size fraction and the theoretical value of packing density of mixed powders with multiple particle size idead spherical particles, the character of its size distribution, and the relationship between the theoretical value of packing density and voidage of powder with single particle size, particle interference width were investigated. The results showed that the larger the primary packing density was, the fewer the number of size fractions was when the mixed powder with multiple particle size idead spherical particles reached the same packing density. The volume content of each size fraction decreased exponentially with the increasing number of size fraction, the larger the primary packing density, the faster the descending speed was, and the size distribution of the mixed powder was lognormal distribution. The results also indicated that the relationship between the theoretical value of packing density and voidage of powder with single particle size, particle intereference width obeyed binary quadratic nonlinear equation.