Stability of theoretical model for catastrophic weather prediction

Stability related to theoretical model for catastrophic weather prediction, which includes non-hydrostatic perfect elastic model and anelastic model, is discussed and analyzed in detail. It is proved that non-hydrostatic perfect elastic equations set is stable in the class of infinitely differentiable function. However, for the anelastic equations set, its continuity equation is changed in form because of the particular hypothesis for fluid, so "the matching consisting of both viscosity coefficient and incompressible assumption" appears, thereby the most important equations set of this class in practical prediction shows the same instability in topological property as Navier-Stokes equation, which should be avoided first in practical numerical prediction. In light of this, the referenced suggestions to amend the applied model are finally presented.     

耦合时间精度对模拟飞行器自由运动特性的影响

将亚迭代技术引入流体动力学和刚体动力学方程的耦合求解,获得细长三角翼极限环运动的规律.探讨耦合时间精度对飞行器非定常运动特性的影响,细长三角冀的大迎角自由滚运动最终形成极限环振荡的周期性自维持运动,不同攻角自由滚振幅阶跃式的变化特点较好地吻合了自由滚试验的规律.对于多系统耦合问题,亚迭代耦合求解(耦合时间精度为二阶)对物理时间步长的依赖性不明显;而存在一阶时间滞后的解耦推进方法的数值结果强烈地依赖于物理时间步长选取,稍大的时间步长将导致非物理的数值结果.     

低压涡轮内部流动及其气动设计研究进展

随着高空无人飞行器研究的不断升温, 高空低雷诺数条件下动力装置的研究越来越受到人们的重视.结合近年来国内外相关领域的研究工作, 对低雷诺数低压涡轮内部复杂流动机理的研究进展进行了介绍, 包括低雷诺数情况下低压涡轮内部非定常流动的特点, 叶片边界层分离及转捩现象机理, 上游周期性尾迹与下游叶片边界层相互作用机理等. 在此基础上给出了适合低雷诺数条件的低压涡轮气动设计方法:尾迹通过与边界层的相互作用, 能够抑制分离, 进而减小叶型损失, 在气动设计中有效引入非定常效应可以大幅度提高低压涡轮的气动负荷或降低气动损失, 最终达到提高性能的目的;数值及实验结果验证了这种设计方法的有效性.      

Calculation of pressure on an airfoil contour in an unsteady separated flow

Simple formulas for calculating the pressure and the total hydrodynamic reactions acting on an arbitrarily moving airfoil are derived within the framework of the model of plane unsteady motion of an ideal incompressible fluid. Several vortex wakes may be shed from the airfoil owing to changes in velocity circulation around the airfoil contour. Cases with nonclosed and closed contours are considered. __________ Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 3, pp. 109–113, May–June, 2008.     

信天翁近海面飞行时的气动力研究

针对信天翁近海面的飞行条件,研究信天翁能在大风浪中高效飞行的力学机理．将信天翁简化为二维机翼,采用势流理论的面元方法,重点研究了波浪的有益干扰．给出了信天翁在匀速固定高度飞行和自由飞行两种状态下的波浪扰动力．计算结果表明:信天翁的飞行效率不仅取决于飞行的高度和速度,而且取决于浪高和波长;在大风浪下信天翁可以从波浪有益干扰中获得推力来抵消部分飞行阻力,提高飞行效能．     

广义二阶流体涡流速度的衰减和温度扩散

将分数阶微积分运算引入到二阶流体的本构关系中,建立了带分数阶导数的广义二阶流体模型．研究了广义二阶流体涡流速度的衰减和温度扩散,利用分数阶导数的Laplace变换和广义Mittag-Leffler函数,得到了涡流速度场和温度场的精确解,分析了分数阶指数对涡流速度的衰减和温度扩散的影响．     

The steady/pulsatile flow and macromolecular transport in T-bifurcation blood vessels

IntroductionThefluiddynamicsofbloodcyclesystemplayanimportantroleinthepathogenesisofatherosclerosis.ThephysiologicalanatomyfoundthattheatherosclerosisappearsoftenatthebifurcationorcurvedflowareatoallkindsofRefs.[1 ,2 ] .Theshearstressvariesgreatlyinthoseareaandinfluencesthemacromoleculartransportacrossthebloodwall[3,4].Thus ,theinvestigationoftheflowandmacromoleculartransportinthesecomplexbloodvesselaandthecorrelationbetweenthemareinterestingtoresearchers.Intheseaspect,Liepschstudiedtheflowi…     

A New Unsteady Three Dimensional Model for Macromolecular Transport and Water Filtration Across the Arterial Wall

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轴向间隙对动 /静相干叶排内部非定常特性的影响

本文采用文献［3,4］所发展的滑移界面技术,求解了不同轴向间隙时某一透平级内的非定常流场, 发现轴向间隙由0.152倍栅距变化到0.533倍栅距时,监测点速度u的相对振幅由26.27%下降为7.94%; 速度v的相对振幅由21.34%下降到7.3%。计算结果表明轴向间隙的增大将使动/静叶排间的相互干扰作用减弱,从而使其内部非定常流动特性减小,为设计工作提供了参考依据     

非牛顿流体内流传热研究

在本文中,研究了注入轴对称模腔非牛顿流体非定常流动.本文的第二部份研究了上随体Maxwell流体管内热流动.对于注入模腔流动.其本构方程采用幂律流体模型方程.为了避免在表现粘度中温度关系引起的非线性.引进了一特征粘度的概念.描述本力学过程的基本方程是,本构方程、定常状态的运动方程、非定常能量方程及连续方程.该方程组在空间是二维问题,在数学上是三维问题.采用分裂差分格式求得本方程组的数值解答.分裂法曾成功应用于求解牛顿流体问题.在本文中,首次将分裂法成功地应用解决非牛顿流体流动问题.对于圆管内热流,给出了差分格式,使基本方程组化为一个三对角方程组.其结果,给出了不同时刻的模腔内二维温度分布.