盖板式预旋系统的压比和熵增特性

对预旋系统内的压力变化相关研究较少。基于理论分析、实验测量以及数值计算,对某盖板式预旋系统的压比及熵增特性进行研究。通过理论推导,对预旋系统内压比与无量纲温降的关系进行分析。在最高转速可达10000r/min的高转速实验台上,测量了转盘上的气流静压以及相对总温,进而获得压比及熵增特性。进行三维数值计算,将数值计算结果与实验结果进行了对比,并根据数值计算结果对预旋系统内的熵产分布以及各元件的熵增情况进行分析。结果表明:系统温降以及旋转马赫数大小决定了预旋系统的理想最大压比,而实际压比与理想压比的比值取决于系统内的熵增大小。采用数值计算以及实验测量所得结果对理论关系式进行了验证,最大偏差2.7%。旋转马赫数一定的条件下,随系统无量纲温降增大,系统压比逐渐减小。由于熵增影响,实测压比与理想压比最大相差约36%。预旋系统内的熵增主要发生在预旋腔静止壁面、接受孔前后、供给孔进口等气流旋转比发生剧烈变化的区域。预旋系统内主要元件的熵增随流量增大都呈逐渐增大的趋势,但接受孔处熵增最小值出现在喷嘴出口旋转比等于1左右时,流量过小或过大都会导致接受孔处熵增变大。     

熵理论在组合导航系统信息结构中的应用研究

组合导航就是采用多个导航传感器,通过信息融合技术,对测量结果进行重新整合。本文以亚音速飞行器为背景,通过对组合导航系统熵的结构进行研究,分析了组合导航系统的信息结构。结果表明,组合导航系统的最优控制规律等效于导航系统的最大熵原理。     

正确认识山农信道容量定理

山农信道容量定理公式中的信道带宽恒为信源所发出的消息信号的带宽 ,是信道带宽的理论最小极限 ;它不同于现代通信工程中传输已调制信号时所需要的信道带宽。这是本文所证明的基本结论。这一结论将限制信道容量定理的普适性和实用性。     

典型流阻元件的流量和熵产模型研究

为揭示流阻元件的流动损失机理,本文从热力学理论出发,建立了流阻元件的质量流量模型和熵产模型,分析了质量流量与熵产之间的关系,研究了熵产随系统压比和进口总压的变化情况,并通过预旋喷嘴和篦齿封严的实验结果对两个模型进行了分析评估。结果表明,质量流量模型与实验结果的最大偏差不超过2.8%;熵产模型与实验结果的最大偏差不超过1.9%。系统熵产随系统压比的增加而增大,随进口总压的增加而减小。当系统的进口总压,进口总温和出口静压不变时,模型中的参数a是衡量不同元件熵产大小的唯一量度。     

液体火箭发动机热力组件动力学模型

 为了评判不同假设条件下得出的几种热力组件动力学模型的特点和适用范围,对其频率特性进行分析,并探讨了主要参数的影响规律。对于双组元非等温燃气流,在低频范围内采用考虑熵波效应的绝热流动模型更加精确。燃烧温度与混合比关系的无量纲斜率值越大,推进剂流量波动产生的熵波影响越明显。通过在分布参数流动模型中添加指数衰减率来表示熵波随频率的增大而耗散。改进的声学模型形式简单,既能在低频范围内描述熵波,又能在高频范围表征熵波的耗散,可以在很宽的频率范围内合理地描述燃气流动的动态特性。     

Large-eddy simulation and linear acoustic modeling of entropy mode oscillations in a model combustor with coolant injection

Lean-burn combustor is particularly susceptible to combustion instability and the unsteady heat release is usually considered as the excitation of the self-maintained thermo-acoustic oscillations. The transverse coolant injection is widely used to reduce the temperature of burnt gas, but on the other hand, it will introduce temperature fluctuation inside the combustor. Therefore, it is necessary to consider the influence of the coolant injection on combustion instability, and evaluate its dynamic feature. In this paper, Large-Eddy Simulation (LES) of the self-excited pressure oscillations in a model combustor with coolant injection is carried out. The analysis of transient flow characteristics and the identification of the pressure modes confirm that one of the low frequency pressure oscillations is related to entropy fluctuations, which is known as rumble combustion instability. The LES results show that transient coolant injection is another excitation of temperature fluctuation other than unsteady combustion. The amplitude of the entropy mode oscillation increases with increasing coolant air mass whereas the change of its frequency is insignificant. According to the major feature of entropy wave oscillation caused by coolant injection, a compact coolant injection model is proposed and applied in the One Dimensional (1D) Acoustic Network Method (ANM). Key correlations used in the model match well with LES data in low frequency range. This means that the coolant injection model is a complex one reflecting the interaction of the fluctuating coolant mass, pressure and temperature. Finally, the combustion instability frequencies and modes predicted by acoustic network method are also in good agreement with LES results.     

Improvement of Baldwin-Lomax turbulence model for supersonic complex flows

Entropy represents the dissipation rate of energy. Through direct numerical simulation (DNS) of supersonic compression ramp flow, we find the value of entropy is monotonously decreasing along the wall-normal direction no matter in the attached or the separated region. Based on this feature, a new version of Baldwin-Lomax turbulence model (BL-entropy) is proposed in this paper. The supersonic compression ramp and cavity-ramp flows in which the original Baldwin-Lomax model fails to get convergent solutions are chosen to evaluate the performance of this model. Results from one-equation Spalart-Allmaras model (SA) and two-equation Wilcox k-x model are also included to compare with available experimental and DNS data. It is shown that BLentropy could conquer the essential deficiency of the original version by providing a more physically meaningful length scale in the complex flows. Moreover, this method is simple, computationally efficient and general, making it applicable to other models related with the supersonic boundary layer.     

封严流对预旋供气系统温降特性影响的数值研究

为获得封严流对预旋供气系统温降特性的影响,基于三维稳态数值模拟方法,针对内封严出气流量,内封严进气流量,内封严进气温度和内封严进气旋转比四个因素进行了研究。结果表明：在保持供气流量和供气压力一定的条件下,封严流流出预旋腔对预旋供气系统温降特性影响微小;而封严流流入预旋腔的影响显著。内封严进气流量从0增大到喷嘴流量的20%时,温降效率降低31.3%;内封严进气温度升高37K时,温降效率降低29.2%;内封严进气旋转比从0提高到0.8时,温降效率提高15.6%。     

甲烷预冷器性能及与压气机参数匹配研究

以甲烷为冷却剂的预冷型涡轮基组合发动机以其较高的冷却性能和密度比冲等优点,成为未来宽速域飞行器动力装备问题的重要研究方向。针对该型发动机的核心部件——预冷器,建立理论计算模型对其综合性能进行了评估,并提出了一种熵函数分析法,对预冷器与压气机工作参数匹配特性开展理论分析。计算结果表明,所提出的预冷器方案换热有效度在0.5~0.72,功重比达到250kW/kg;甲烷预冷措施能将涡轮发动机工作速域扩展至Ma=3.1,此状态来流空气最高被冷却180K。对预冷器和压气机整体结构,“单位比热的比熵”与冷却剂当量比和压气机压比均成正相关。压气机能在根据材料耐高温极限设计的预冷器/压气机共同工作线上获得最高压比,但需消耗大量冷却剂,导致发动机比冲和热循环效率降低;冷却剂当量比始终控制在1.0左右的工作线能获得较高比冲、压比和热循环效率,同时消耗的功率和冷却剂均较低;保持较低熵增设计的工作线有较高热循环效率和较低功耗,但压比偏低,发动机难以提供较高输出功率。     

Evolution and History in a new “Mathematical SETI” model

In a recent paper (Maccone, 2011 [15]) and in a recent book (Maccone, 2012 [17]), this author proposed a new mathematical model capable of merging SETI and Darwinian Evolution into a single mathematical scheme. This model is based on exponentials and lognormal probability distributions, called “b-lognormals” if they start at any positive time b (“birth”) larger than zero. Indeed:

• 1.Darwinian evolution theory may be regarded as a part of SETI theory in that the factor f_l in the Drake equation represents the fraction of planets suitable for life on which life actually arose, as it happened on Earth.
• 2.In 2008 (Maccone, 2008 [9]) this author firstly provided a statistical generalization of the Drake equation where the number N of communicating ET civilizations in the Galaxy was shown to follow the lognormal probability distribution. This fact is a consequence of the Central Limit Theorem (CLT) of Statistics, stating that the product of a number of independent random variables whose probability densities are unknown and independent of each other approached the lognormal distribution if the number of factors is increased at will, i.e. it approaches infinity.
• 3.Also, in Maccone (2011 [15]), it was shown that the exponential growth of the number of species typical of Darwinian Evolution may be regarded as the geometric locus of the peaks of a one-parameter family of b-lognormal distributions constrained between the time axis and the exponential growth curve. This was a brand-new result. And one more new and far-reaching idea was to define Darwinian Evolution as a particular realization of a stochastic process called Geometric Brownian Motion (GBM) having the above exponential as its own mean value curve.
• 4.The b-lognormals may be also be interpreted as the lifespan of any living being, let it be a cell, or an animal, a plant, a human, or even the historic lifetime of any civilization. In Maccone, (2012 [17, Chapters 6, 7, 8 and 11]), as well as in the present paper, we give important exact equations yielding the b-lognormal when its birth time, senility-time (descending inflexion point) and death time (where the tangent at senility intercepts the time axis) are known. These also are brand-new results. In particular, the σ=1 b-lognormals are shown to be related to the golden ratio, so famous in the arts and in architecture, and these special b-lognormals we call “golden b-lognormals”.
• 5.Applying this new mathematical apparatus to Human History leads to the discovery of the exponential trend of progress between Ancient Greece and the current USA Empire as the envelope of the b-lognormals of all Western Civilizations over a period of 2500 years.
• 6.We then invoke Shannon's Information Theory. The entropy of the obtained b-lognormals turns out to be the index of “development level” reached by each historic civilization. As a consequence, we get a numerical estimate of the entropy difference (i.e. the difference in the evolution levels) between any two civilizations. In particular, this was the case when Spaniards first met with Aztecs in 1519, and we find the relevant entropy difference between Spaniards an Aztecs to be 3.84 bits/individual over a period of about 50 centuries of technological difference. In a similar calculation, the entropy difference between the first living organism on Earth (RNA?) and Humans turns out to equal 25.57 bits/individual over a period of 3.5 billion years of Darwinian Evolution.
• 7.Finally, we extrapolate our exponentials into the future, which is of course arbitrary, but is the best Humans can do before they get in touch with any alien civilization. The results are appalling: the entropy difference between aliens 1 million years more advanced than Humans is of the order of 1000 bits/individual, while 10,000 bits/individual would be requested to any Civilization wishing to colonize the whole Galaxy (Fermi Paradox).
• 8.In conclusion, we have derived a mathematical model capable of estimating how much more advanced than humans an alien civilization will be when SETI succeeds.