二维谷仓通风方程的有限差分解法

A Finite Difference Scheme for Solviug 2-Dimentional Airflow Equation of Grain Bins

该文将基于控制容积公式的一种差分格式应用于求解Brooker和Segerlind所建立的二维谷仓通风非线性方程,并研讨了相应边界条件的处理技巧。通过对求解常阻力参数下的Brooker模型仓问题与其他文献的比较证实本格式是可行的,并与四边形等参元有相同精度。该文还提供了用该格式求解利用Brooker玉米阻力实验数据和进口压力为250Pa、500Pa和750Pa三种工况下仓内6个典型算点的压力和压力等值线图,与Brooker的实验结果和Miketinac等人的数值结果压力分布大体一致,其差值小于3％。

A finite difference scheme based on control-volume formulation (CVF) is applied to solving the 2-d non-linear airflow equation of grain bin established by Brooker and Segerlind. Some techniques used to manipulate boundary conditions are studied. The scheme is validated by numerically solving Brooker' s model with constant resistant parameters, comparison with other research results shows the CVF scheme has the same accuracy as the Q4 element. Pressure values on six special points and contours computed with the scheme under inlet pressure of 250 Pa, 500 Pa and 750 Pa using Brooker' s experimental resistant parameters of corn are presented, which are compared with Brooker' s experimental results and the numerical results by Miketinac et al, showing a general consistency with a deviation of less than 3%.