THE METHOD OF MATRICES CONJOINT MULTIPLICATION FOR THE PROBLEM OF CIRCULAR ARC CORRUGATED DIAPHRAGM

The circular are corrugated diaphragms are taken in this paper as structures of several sections of the ring shells and a central circular plate matrices and link matrices are derivedhy using Prof.Chien the ring shells and perturbation theory of the circular thin plates.Through the of matrices conjoint multiplication.the linear exact solution and nonlinear soluman areobtained.The results agree with that of the experiments presentd by W.A.Wildha .     

Properties of acoustic resonance in double-actuator ultra-sonic gas nozzle: numerical study

The ultra-sonic gas atomization(USGA) nozzle is an important apparatus in the metal liquid air-blast atomization process.It can generate oscillating supersonic gas efflux,which is proved to be effective to enforce the atomization and produce narrow-band particle distributions.A double-actuator ultra-sonic gas nozzle is proposed in the present paper by joining up two active signals at the ends of the resonance tubes.Numerical simulations are adopted to study the effects of the flow development on the acoustic resonant properties inside the Hartmann resonance cavity with/without actuators.Comparisons show that the strength and the onset process of oscillation are enhanced remarkably with the actuators.The multiple oscillating amplitude peaks are found on the response curves,and two kinds of typical behaviors,i.e.,the Hartmann mode and the global mode,are discussed for the corresponding frequencies.The results for two driving actuators are also investigated.When the amplitudes,the frequencies,or the phase difference of the input signals of the actuators are changed,the oscillating amplitudes of gas efflux can be altered effectively.     

射流速度剖面形状变化及其对界面稳定性的影响

用线性稳定性理论研究了内部为轴对称液体射流、外部为同轴气体射流的粘性双流体模型．在液体射流和气体射流分别处于不同压力梯度作用的条件下,讨论了数学模型中射流速度剖面形状变化,并用Chebyshev配点法研究了剪切层厚度变化及其对界面稳定性产生的影响．     

Hartmann共振管及超音速雾化喷嘴流场的数值模拟

采用基于Roe解法的有限体积法,对Hartmann共振管中的气体流场进行了数值模拟,研究了当喷嘴轴线处存在针型激励器的情况下流场的振动情况,数值计算的结果与理论和相关的实验结果符合得较好．计算结果表明移除或引入激励器,将会使Hartmann共振管的共振模式发生转换．通过对超音速雾化喷嘴流场的数值模拟,研究了其中Hartmann共振腔和二级共振腔共同作用下的振动现象以及各物理参数对振动的影响,并对喷嘴中气流从亚音速向超音速的转变机理进行了研究．     

热传导对气-液射流界面不稳定性的作用机理研究

研究了平面分层气-液射流在非线性温度分布条件下的界面不稳定性性质.考虑了气体的可压缩性、液体的粘性、以及气体热导率和密度随温度变化等事实.并应用正则模态方法将问题转化为四阶变系数常微分方程,用数值积分和多重打靶法对模型的空间模式进行了计算,研究了不稳定模态随各物理参量的变化趋势.计算表明模型所体现的不稳定性特征与其它模型的计算结果是一致的.同时计算还得出气体和液体的温差越小、雷诺数越大、热导率变大均将有利于液体射流有效雾化的结果.该结论与HJE.Co.Inc(Glens Falls,NY,USA)的实验数据是定性吻合的.     

Hartmann共振管及超音速雾化喷嘴

采用基于Roe解法的有限体积法，对Hartmann共振管中的气体流场进行了数值模拟，研究了当喷嘴轴线处存在针型激励器的情况下流场的振动情况，数值计算的结果与理论和相关的实验结果符合得较好．计算结果表明移除或引入激励器，将会使Hartmann共振管的共振模式发生转换．通过对超音速雾化喷嘴流场的数值模拟，研究了其中Hartmann共振腔和二级共振腔共同作用下的振动现象以及各物理参数对振动的影响，并对喷嘴中气流从亚音速向超音速的转变机理进行了研究．     

第二类变型Bessel函数的Chebyshev逼近

第二类变型Bessel函数Kn(z)在自变量趋于无穷时就是指数变小的，使用多项式逼近的方法求解往往误差很大．采用指数变换和J．P．Boyd的有理Chebyshev多项式计算第二类变型Bessel函数，得到了令人满意的在较大范围内有效的解．     

A KIND OF DISTORTION OF MEAN VELOCITY PBOFILE IN PIPE POISEUILLE FLOW AND ITS STABILITY BEHAVIOUR

This paper presents a kind of distortion of Hagen-Poiseuille velocity profile in pipe Poiseuille flow. This distortion can be regarded as a general expression of the influence on the mean flow by nonlinear interaction of various components of axisymmetric perturbations. Through the investigation of the stability behaviour of this velocity profile, this paper obtains unstable result induced by axisymmetric perturbations for the first time, and thus presents a new possible approach which leads to instability of Hagen-Poiseuille flow.     

THE APPLICATION OF MULTI－SCALE PERTURBATION METHOD TO THE STABILITY ANALYSIS OF PLANE COUETTE FLOW

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经过修正的平面Couette流的非线性稳定性研究

本文讨论了经过修正的平面Couette流在二维扰动下的非线性稳定性性质,并同经过修正的平面Poiseuille流的非线性稳定性性质进行了比较.计算结果表明,对于有限振幅的扰动,平面Couette流比平面Poiseulle流更不稳定.