FREE BOUNDARY VALUE PROBLEM FOR THE CYLINDRICALLY SYMMETRIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY

In this paper, we investigate the free boundary value problem （FBVP） for the cylindrically symmetric isentropic compressible Navier-Stokes equations （CNS） with density- dependent viscosity coefficients in the case that across the free surface stress tensor is balanced by a constant exterior pressure. Under certain assumptions imposed on the initial data, we prove that there exists a unique global strong solution which tends pointwise to a non-vacuum equilibrium state at an exponential time-rate as the time tends to infinity.

基于FLUENT的静压气体轴承节流孔系数研究

在通过求雷诺方程来研究静压气体轴承的特性时,通常假设节流孔系数为常数0.8,这可能会影响雷诺方程求解的精度。结合FLUENT软件和雷诺方程提出一种静压气体轴承节流孔系数的求解方法,该方法通过对比FLUENT和雷诺方程计算得到的质量流量求解节流孔系数;分析气膜厚度、供气压力、节流孔直径等参数对节流孔系数的影响。结果表明:节流孔系数随着膜厚的增加先增大后减少,随着供气压力的增大而减少,随着节流孔直径的增大而增大,但节流孔系数对轴承半径和节流孔长度的变化并不敏感。采用该节流孔系数求解雷诺方程得到的轴承承载力,与FLUENT计算得到的承载力结果基本一致,验证了该方法的正确性与可行性。

基于分离变量算法的静压止推气体轴承节流孔特性研究

首先基于分离变量算法(method of separation of variables, MSV)求解了单节流孔静压气体轴承的层流边界层方程,研究了节流孔附近流场特性,阐明了节流孔出口附近压降现象是由于惯性效应导致,并研究了轴承几何参数和供气参数对压降现象的影响规律。最终提出了压降现象产生的临界条件为压比为0.940 9,也即压比大于临界压比时,压降现象消失。其次基于质量流量相等原则,结合层流边界层的MSV方法及雷诺方程的解析算法,提出了一种计算节流孔系数的新方法,并研究了轴承的几何参数及供气参数对节流孔系数的影响规律。结果显示,节流孔系数存在着参数敏感和不敏感区域,这是由于当压比小于等于0.6左右时,节流孔系数趋近于一个常数0.86左右。

Global classical solution to the three-dimensional isentropic compressible Navier-Stokes equations with general initial data

We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the isentropic compressible Navier-Stokes equations in the three space dimensions with general initial data which could be either vacuum or non-vacuum under the assumption that the viscosity coefficient μ is large enough.

Free Boundary Value Problem for the Cylindrically Symmetric Compressible Navier-Stokes Equations with a Constant Exterior Pressure

This paper is concerned with the free boundary value problem（FBVP） for the cylindrically symmetric barotropic compressible Navier-Stokes equations（CNS） with density-dependent viscosity coefficients in the case that across the free surface stress tensor is balanced by a constant exterior pressure. Under certain assumptions imposed on the initial data, the unique cylindrically symmetric strong solution is shown to exist globally in time and tend to a non-vacuum equilibrium state exponentially as time tends to infinity.

Global Well-Posedness of Classical Solutions with Large Initial Data to the Two-Dimensional Isentropic Compressible Navier-Stokes Equations

We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the two-dimensional isentropic compressible Navier-Stokes equations with smooth initial data under the assumption that the viscosity coefficient μ is large enough. Here we do not require that the initial data is small.

Higher-Order Compact Scheme for the Incompressible Navier-Stokes Equations in Spherical Geometry

A higher-order compact scheme on the nine point 2-D stencil is developed for the steady stream-function vorticity form of the incompressible Navier-Stokes(NS)equations in spherical polar coordinates,which was used earlier only for the cartesian and cylindrical geometries.The steady,incompressible,viscous and axially symmetric flow past a sphere is used as a model problem.The non-linearity in the N-S equations is handled in a comprehensive manner avoiding complications in calculations.The scheme is combined with the multigrid method to enhance the convergence rate.The solutions are obtained over a non-uniform grid generated using the transformation r=ex while maintaining a uniform grid in the computational plane.The superiority of the higher order compact scheme is clearly illustrated in comparison with upwind scheme and defect correction technique at high Reynolds numbers by taking a large domain.This is a pioneering effort,because for the first time,the fourth order accurate solutions for the problem of viscous flow past a sphere are presented here.The drag coefficient and surface pressures are calculated and compared with available experimental and theoretical results.It is observed that these values simulated over coarser grids using the present scheme aremore accuratewhen compared to other conventional schemes.It has also been observed that the flow separation initially occurred at Re=21.

单斜面膨胀喷管几何参数对流场和性能的影响

基于CFD技术,通过求解R eynolds平均N-S方程附以标准k-ε双方程湍流模型,数值研究了单斜面膨胀喷管(SERN)主要几何参数对其内部流场和性能的影响,计算结果表明,SERN扩张段上、下斜面长度和角度对喷管流场结构和性能有明显的影响,随着上斜面长度的增加,喷管从欠膨胀状态过渡到过膨胀状态,在完全膨胀状态下,推力系数最大,存在某一最佳的上斜面角度,在该角度下,喷管推力系数最大,同样地,对于下斜面也存在最佳斜面长度和角度。

磁控等离子体对收敛喷管性能的影响

采用诱导磁场方程,Mixture混合两相流和磁场修正的湍流两方程模型,研究施加不同强度磁场时,收敛喷管内等离子体的流动和传热特性以及等离子体对尾喷流的包裹情况.结果表明,随着气流在收敛喷管内加速,等离子体被掺混的程度增加.增强磁场可提高近壁面处等离子体体积分数,抑制其湍流度,降低高温气体向喷管壁面的传热.当By=1.3 T时,磁控等离子体可降低54.4%的壁面温升,增加0.74%的喷管推力系数,在出口4倍当量直径处对尾气仍有一定的包裹.

飞翼无人机保形进排气系统动力数值模拟与流场特性分析

利用计算流体力学(CFD)方法,分别针对保形进气道和膨胀尾喷管风洞试验模型进行数值模拟,验证了模拟进排气动力边界条件的可靠性。再基于飞翼布局无人机双发动机布局下隐身与保形设计要求,设计了矩形进气口S弯进气道和圆矩形喷口尾喷管,并利用数值模拟方法对无人机进排气系统进行了计算分析,获得了无人机全机气动性能及进排气三维流场特性。研究表明:1进排气使得飞翼无人机升阻特性有所下降,但低马赫数(0.5,0.6)下能改善无人机俯仰力矩特性;2随着马赫数增加,进气道总压恢复系数减小且畸变指数增加,而尾喷管轴向推力系数则升高,且推力性能保持较好;高马赫数(0.7)下进气道特性下降较快,设计时应多考虑飞行包线右边界;3侧滑角对于进气道性能影响较大,而尾喷管推力性能受侧滑角影响较小,设计时应多考虑进气道侧滑影响。

二元矢量喷管内流特性的数值模拟

应用多重网格ＭａｃＣｏｒｍａｃｋ显示格式对不同矢量角下二元喷管的流动进行了模拟分析。计算时，在细网络上采用了雷诺平均Ｎ－Ｓ方程和Ｋ－ε湍流模型方程；在粗网格上则采用Ｅｕｌｅｒ方程。数值计算给出了较清晰的流谱。壁面压力分布的计算值也与实验结果吻合。通过计算结果分析了喷管几何参数对流场的影响。所得结果显示出多重网格算法高效可靠。

Numerical simulation of flow past twin near-wall circular cylinders in tandem arrangement at low Reynolds number

Fluid flow past twin circular cylinders in a tandem arrangement placed near a plane wall was investigated by means of numerical simulations. The two-dimensional Navier-Stokes equations were solved with a three-step finite element method at a relatively low Reynolds number of Re -- 200 for various dimensionless ratios of 0.25 ≤ G/D ≤2.0 and 1.0 ≤ L/D ≤ 4.0, where D is the cylinder diameter, L is the center-to-center distance between the two cylinders, and G is the gap between the lowest surface of the twin cylinders and the plane wall. The influences of G/D and L/D on the hydrodynamic force coefficients, Strouhal numbers, and vortex shedding modes were examined. Three different vortex shedding modes of the near wake were identified according to the numerical results. It was found that the hydrodynamic force coefficients and vortex shedding modes are quite different with respect to various combinations of G/D and L/D. For very small values of G/D, the vortex shedding is completely suppressed, resulting in the root mean square （RMS） values of drag and lift coefficients of both cylinders and the Strouhal number for the downstream cylinder being almost zero. The mean drag coefficient of the upstream cylinder is larger than that of the downstream cylinder for the same combination of G/D and L/D. It is also observed that change in the vortex shedding modes leads to a significant increase in the RMS values of drag and lift coefficients.

一种关于静压气体轴承节流孔系数的计算方法

基于层流边界层方程的分离变量算法和雷诺方程的解析算法,提出了一种关于单节流孔静压气体止推轴承的节流孔系数的计算方法。该方法通过比较层流边界层方程计算获得的气体轴承的质量流量和雷诺方程计算获得的质量流量计算获得了节流孔系数。将计算获得的节流孔系数和节流孔系数为常数0.8代入单节流孔气体止推轴承的雷诺方程中,计算获得的承载力与分离变量算法求解层流边界层方程获得的承载力进行对比,可以发现,相对于采用节流孔系数为0.8来说,采用该计算的节流孔系数求解雷诺方程的承载力与分离变量算法求解获得的承载力结果精度最大提高了8%。从而验证了该计算节流孔系数方法的正确性。

Computational study on flow through truncated conical plug nozzle with base bleed

Conical plug nozzle and truncated conical plug nozzle are advanced rocket nozzles suitable for use as altitude compensating nozzles.In this study flow through the conical plug and truncated conical plug nozzles are numerically simulated to first validate with experimental data and then to compare the performance when a base bleed is introduced.The numerical analysis has considered two-dimensional axisymmetric models.Reynolds-averaged NavierStokes equations are solved with two equation shear stress transport k-ω turbulence model.For the validation of the plug nozzle,flow features and wall pressure along the length of the nozzle is taken for different nozzle pressure ratios.For the validation of truncated plug nozzle,flow features and base pressures at various nozzle pressure ratios are compared.The base bleed is taken as 2%of the inlet mass flow rate.The comparison of results shows that the introduction of base bleed helps to compensate for the loss of thrust due to conical plug nozzle truncation.