摘要
本文从多方面对Einstein推移质公式进行修正.首先基于时间连续、状态离散的Markov过程严格推导公式结构,具有物理概念清楚、数学处理严密的特点;其次取无因次单步距离和单步运动时间均为水流强度参数的函数,使之更符合现象的物理性质.此外,起动概率公式不仅考虑到推移力作用并取脉动底速遵循正态分布,理论上较为完善;而且积分限系数全由以往成果预先确定,因而可视为独立的理论公式.经上述修正的推移质公式与试验资料符合良好,可供计算应用.
Einstein's bedload transport formula is revised in some aspects. First of all, based on a Markov process with continuous time and two states, the structure of a formula is theoretically derived, which is charactered by both clear physical conception and strict mathematical treatment. Then the dimensionless time and distance of a single-step movement are considered as functions of the flow strength ψ, so that they accord with their properties of mechanics. The expression of incipient movement probability, moreover, can be regarded as an independent and perfect theoretical formula, because not only the tractive force in the incipient movement condition and the fluctuation velocity near bottom that follows normal distribution are taken into consideration, but also all coefficients of the integration limits are determined by the known results. The bedload transport formula that has been modified as mentioned above well agrees with the experimental data and can be applied to computation.
出处
《泥沙研究》
CSCD
北大核心
1991年第1期20-26,共7页
Journal of Sediment Research
