Mathematical modeling of falling liquid film evaporation process

A mathematical model of evaporation process from a laminar falling liquid film on a vertical plate of constant temperature is presented. The model is developed with and without interfacial shear stress due to the vapor flow at the liquid film surface. The vapor pressure drop, vapor exit velocity and cooling rate are calculated for different liquid mass flow values. It is shown that lower liquid mass flow produces higher cooling rate. The results also show that the interfacial shear stress has a considerable negative effect on the cooling rate. It is proved that there exists an optimum distance between the plates, which gives the maximum volumetric cooling rate.     

An experimental and numerical study of hunting in thermostatic-expansion-valve-controlled evaporators

The dynamic behaviour of a thermostatic-expansion–valve (TEV)-controlled dry-evaporator is studied experimentally and numerically. Although the linear model of the TEV together with the distributed model of the evaporator is able to predict the stable dynamic response of the system adequately, it fails to reproduce the hunting behaviour that is observed under certain operating conditions. A scrutiny of the experimental data reveals the possible existence of hysteresis in the system. The distributed model including the experimentally determined input-output characteristics of the TEV is able to reproduce the main features of the hunting oscillations well. The amplitude and frequency of these oscillations depend on the static superheat setting, the heat load of the evaporator and the time constant of the TEV bulb.     

双参数Bézier曲线的升二次扩展

本文以二次Bernstein基函数为例,首次提出了含双参数基函数的新扩展——αβQ—Bern-stein基函数,此类基函数具有新的特点,即基函数的扩展次数一次性升高两次,且包含了二次多项式和带一个参数的三次多项式基函数的所有性质。基于这组基函数定义了αβQ—Bézier曲线,该曲线也含有参数,具有形状可调性,当α与β取某些值时曲线能达到C4连续或在某个端点处C0连续。最后与含两个参数的升一次Bézier曲线进行比较,该曲线具有调节范围广、灵活性更强的优势。     

自适应布谷鸟搜索算法

为了使布谷鸟搜索算法(Cuckoo Search,CS)在保持强大的全局搜索能力的同时,尽可能地提高局部搜索能力,在深入分析CS算法机理的基础上,将CS算法中影响布谷鸟搜索路径步长的参数β和布谷鸟蛋被发现(淘汰)的概率p_a由固定值改为随搜索过程自适应变化的动态参数,将越界的鸟窝折返回边界内、在当前代最优鸟窝附近的区域随机建立1个新的鸟窝、而非折返回边界上重新建立鸟窝,以提高算法的局部搜索能力和收敛速度。改进后的CS算法称为自适应布谷鸟搜索算法(Adaptive Cuckoo Search,ACS)。通过8个标准测试函数分别测试了CS算法和ACS算法的性能,结果表明,无论是简单的单峰函数还是复杂的多峰函数,无论是小型的低维函数还是大型的高维函数,ACS算法的寻优性能均超过CS算法。     

基于最大似然准则的CHAN改进算法

Chan算法是一种经典的具有闭式解的高效时差定位解算算法,但在实际应用中却存在一些困难和不足。首先对Chan算法在二维平面下的解集作了说明,并提出一种基于最大似然准则的定位模糊消除方法以得到唯一最终解,其次,针对Chan算法在较大时差测量误差下定位精度下降明显的现象,提出一种基于近似最大似然的方法对Chan算法定位估计进行修正,以改善其定位性能。仿真结果表明,对Chan算法提出的改进措施是有效可行的。     

三次Bézier曲线的α扩展

利用一个对称的调配函数,结合NURBS曲线中权的思想,在曲线控制顶点处引进调配参数,将三次Bézier曲线进行扩展,得到的新曲线比原来的曲线有更强的描述能力,并且包含了原曲线形式。讨论了扩展曲线的基表示及曲线的性质,调配参数可以用来控制曲线的局部形状,特别适用于自由曲线曲面的设计,在CAD/CAM中具有很好的应用前景。     

带有给定切线多边形的G2连续Bézier闭曲线

描述了一种与给定多边形相切的五次Bézier曲线的算法。在算法中,所有的五次Bézier曲线的控制点可以通过对多边形的顶点简单计算产生。所构造的曲线对多边形具有保形性,曲线可以局部修改,最后给出了一个算例。     

具有分布时滞的Liénard型方程周期解的存在性

考察了具有分布时滞的Liénard型方程,利用重合度理论研究其周期解问题,得到了该方程周期解存在的充分条件,结论丰富了现有文献的结果．     

Modélisation Mathématique de la Décantation de la Boue Rouge

A good performance of the solid‐liquid unit operation is required for the economical exploitation of the Bayer process. A computational fluid dynamics (CFD) model simulating the operation of the last washing stage mud thickener of a large Canadian alumina plant is presented. The parametric study of the impact of changes in four parameters shows that the diameter of flocculated red mud particles, the feed flow rate and the radius of the feed well are critical parameters for the operation of the thickener.