用n表示第n个素数

给出一个用ｎ 表示第ｎ 个素数的公式ｐ１ ＝ ２ｐｎ ＝ ３ ＋ ∑∞ｋ＝ １ １ ＋ ｎ － １２ － ∑ｋｉ＝ １ ｓｉｎ （２ｉ）２ｉ＋ １πｓｉｎ π２ｉ ＋ １ｎ － １２ － ∑ｋｉ＝ １ ｓｉｎ （２ｉ）２ｉ＋ １πｓｉｎ π２ｉ ＋ １ 　　（ｎ ＝ ２,３,４,…）     

席壁冷却结构的无因次温差比η和θ的实验研究

 对席壁冷却结构的平板实验件进行热态实验研究，测定反映该冷却结构冷却效果的两个无因次温差比η和θ的大小随冷却密流ｍａｎ／Ａ平板的变化规律，一方面以检验本席壁结构的冷却效果，另一方面为七热流壁温计算提供支持     

An SOR Implicit Time-accurate Scheme in Calculating Unsteady Flows

A new time-accurate marching scheme for unsteady flow calculations is proposed in the present work. This method is the combination of classical Successive Over-Relaxation (SOR) iteration method and Jacobian matrix diagonally dominant splitting method of LUSGS. One advantage of this algorithm is the second-order accuracy because of no factorization error. Another advantage is the low computational cost because the Jacobian matrices and fluxes are only calculated once in each physical time step. And, the SOR algorithm has better convergence property than Gauss-Seidel. To investigate its accuracy and convergency, several unsteady flow computa- tional tests are carried out by using the proposed SOR algorithm. Roe’s FDS scheme is used to discritize the inviscid flux terms. Un- steady computational results of SOR are compared with the experiment results and those of Gauss-Seidel. Results reveal that the numerical results agree well with the experimental data and the second-order accuracy can be obtained as the Gauss-Seidel for unsteady flow computations. The impact of SOR factor is investigated for unsteady computations by using different SOR factors in this algorithm to simulate each computational test. Different numbers of inner iterations are needed to converge to the same criterion for different SOR factors and optimal choice of SOR factor can improve the computational efficiency greatly.     

航空发动机管壳式燃-滑油散热器换热特性计算

采用无量纲关系曲线(Re~St·Pr2/3)计算管壳式燃-滑油散热器管程、壳程表面传热系数,基于效率-传热单元数法建立了管壳式燃-滑油散热器换热特性计算模型;以航空发动机某管壳式燃-滑油散热器少量试验数据为基础,拟合得到了该型散热器管程和壳程Re~St·Pr2/3关系曲线,并将该关系曲线应用于另一结构类似的管壳式燃-滑油散热器换热特性计算.算例计算表明:计算值与试验数据吻合较好,管程、壳程出口温度相对误差均不超过6.5%,总换热量相对误差不超过7.4%.该方法可应用于航空发动机管壳式燃-滑油散热器设计及验证阶段的换热特性计算.      

Robust and efficient computation of turbulent flows around civil transport aircraft at flight Reynolds numbers

This work aims at providing numerical methods that enable the robust and efficient simulation of turbulent flows around civil transport aircraft configurations at flight Reynolds numbers. Robustness problems related to the multigrid treatment of advanced transport equation turbulence models have been identified preventing convergence of simulations at high or flight Reynolds numbers. Therefore the application of multigrid to the turbulence equations is omitted while the multigrid treatment of the mean flow equations stays unchanged. Moreover, a fully implicit time integration scheme – a DDADI approach – is applied to the turbulence equations. The new approach raised robustness to a sufficient level to converge viscous computations at flight Reynolds numbers. Furthermore, the convergence speed of aerodynamic coefficients for three dimensional applications has also been improved significantly.     

防代理技术在校园网中的应用

本文分析了某大学校园网网络现状以及网络存在的问题,针对用户大量代理上网导致网速慢的问题,进行了深入的分析,提出了利用限制用户连接数的方法解决代理问题的方案,介绍了防代理技术的原理和具体实施步骤,并对该方案的落实情况和应用效果进行了比较分析,为网络代理问题的解决提供了一个新的思路。     

接力喷嘴不同径向高度和方位角对加力燃烧室 热射流点火性能的影响

为了研究不同热射流点火状态下的燃烧性能,针对采用波瓣混合器的某型航空发动机加力燃烧室,基于N-S方程建立了3维数值计算模型,得到了接力喷嘴径向高度和方位角对加力燃烧室流场、燃烧特性和流阻特性的影响规律。结果表明:随着径向高度增加,热射流火焰传播距离逐渐减小,传播到稳定器下游区域从内涵逐渐向外涵移动,且稳定器壁面高温分布区域逐渐减小;随着方位角增大,热射流火焰径向穿透深度逐渐增大,且稳定器壁面高温区域逐渐减小,在方位角α=0°和α=5°时稳定器壁温最高,为1450 K左右;在加力燃烧室出口截面上,径向高度和方位角对无量纲总压影响不大,整体小于0.005。     

无穷观问题的研究（Ⅰ）—历史的回顾与思考

本组系列论文（Ⅰ）－（Ⅴ）从数学和认识论的角度系统地研究了无穷观问题的历史发展和现状，确立了无穷观背景世界的三分法原则，指出了两种无穷观相五排斥的局限性，形成了统一两种无穷于同一框架中的基本观点，并建立了一个统一实无限与潜无限于同一框架中的公理集体论系统APAS。     

旋转篦齿封严泄漏与换热的准则研究

应用方向性单位制的方程无量纲化方法,研究了旋转等因素对篦齿封严泄露流动、换热的影响,推导出可供实验模化用的相似准则.虽然方向性单位制和以往的SI或工程单位制均遵守Gauss准则,但它们选用和处理各单位各不相同,对于以往的单位制,由于相似理论研究的实际情况复杂,需要研究具有灵活性和特殊性;对于后者,基于所有现象能发生的可能性,研究则具有一般性和不变性.相关的讨论证明其合理性.      

系统可靠性增长模型

根据系统在研制期间可靠性的变化规律,考虑维修、改进对系统可靠性的影响,引入改进效果系数,建立了一种基于虚拟工作时间的可修系统可靠性增长模型,可用于完全维修、不完全维修、最小维修和恶化维修.给出了故障强度函数和累积故障次数的表达式,以及模型参数的极大似然估计.算例表明:该模型分析结果与AM-SAA模型一致,且符合工程实际,其参数意义更明确.