中文摘要：

本文基于仓储粮堆内部自然对流、热湿耦合传递的数学模型，采用数学分析的方法对模型中各个方程中的各项的物理意义和数量级大小进行了分析，探讨了仓储粮堆内部自然对流、热量传递和水分迁移过程的相互关系。提出了判断粮堆内部自然对流强弱的瑞利数及其影响因素，分析了仓型结构、粮种及仓外大气温度对粮堆内部自然对流、热量传递和水分迁移的影响，并通过数值模拟对数学分析结果进行了验证。结果表明，数学分析方法是分析仓储粮堆内部自然对流、热量传递和水分迁移过程的一种有效途径，数学分析的结果可以为仓型设计、储粮生态系统的模拟、仓储技术管理提供借鉴。

英文摘要：

In present paper, the physical meaning and order of magnitudes m all equations were analyzeu oy mathematical analysis, and the relationship between natural convection, heat and moisture transfer processes was ex- amined based on the mathematical moders of natural convection and coupled heat and moisture transfer in the grain bulk. The rayleigh number and its influence factors were proposed to determine the condition of natural conversion in the grain bulk. The influence of barn structure, grain species and air temperature outside the barn on the natural conversion, heat transfer and moisture migration was analyzed, and the analysis results were verified by the numerical modeling. The results showed that matheametical analysis method is an effitive approach to analyze natural conversion, heat transfer and moisture migration in the grain bulk. The results of matheamatical analysis can provide reference for barn type design, simulation of grain storage ecosystem and warehouse technology management.