962 resultados para Spherical trigonometry.


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The observational data show that large scale loop or bubble-like coronal transients frequently associate with forerunners. The forerunner should be related to the rapid motion of the transient behind it, and they are controlled by the same dynamic process. In the present paper, the gasdynamic model with a spherical piston moving at certain speed in the solar gravitational field is devoted to studying the coronal transient with a forerunner. In comparison with observations, the theoretical results show that the piston model may, reasonably explain the configuration, kinetic and dynamic features in the regions of both forerunner and high-speed transient behind it.

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在对机械载荷与非定常电磁场耦合作用下的球台薄壳的应用力、位移与电磁场、机械场等关系研究的基础上,建立了载流球台壳的磁弹性基本方程,采用方离变量法,导出了数值计算方程式,并通过具体算例,讨论了电场中电磁量、作用时间等因素与球台壳应力及变形之间的关系。

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High temperature chemical non-equilibrium phenomena have a great effect on the flow field around a reentry vehicle. A set of three dimensional Navier-Stokes equations have been solved by implicit finite volume NND scheme. Both ideal gas viscous flow and chemical non-equilibrium flow are calculated for a spherical-cone at a small angle of attack. The results of the two flows have been compared and the effect of chemical non-equilibrium has been analyzed. The effect of wall material's properties, such as catalysis and radiation were studied. The results are in good agreement with the referenced paper.

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In order to capture shock waves and contact discontinuities in the field and easy to program with parallel computation a new algorithm is developed to solve the N-S equations for simulation of R-M instability problems. The method with group velocity control is used to suppress numerical oscillations, and an adaptive non-uniform mesh is used to get fine resolution. Numerical results for cylindrical shock-cylindrical interface interaction with a shock Mach number Ms=1.2 and Atwood number A=0.818, 0.961, 0.980 (the interior density of the interface/outer density p(1)/p(2) = 10, 50, 100, respectively), and for the planar shock-spherical interface interaction with Ms=1.2 and p(1)/p(2) = 14.28are presented. The effect of Atwood number and multi-mode initial perturbation on the R-M instability are studied. Multi-collisions of the reflected shock with the interface is a main reason of nonlinear development of the interface instability and formation of the spike-bubble structures In simulation with double mode perturbation vortex merging and second instability are found. After second instability the small vortex structures near the interface produced. It is important factor for turbulent mixing.

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We derive a relationship between the initial unloading slope, contact depth, and the instantaneous relaxation modulus for displacement-controlled indentation in linear viscoelastic solids by a rigid indenter with an arbitrary axisymmetric smooth profile. While the same expression is well known for indentation in elastic and in elastic-plastic solids, we show that it is also true for indentation in linear viscoelastic solids, provided that the unloading rate is sufficiently fast. When the unloading rate is slow, a "hold" period between loading and unloading can be used to provide a correction term for the initial unloading slope equation. Finite element calculations are used to illustrate the methods of fast unloading and "hold-at-the-maximum-indenter-displacement" for determining the instantaneous modulus using spherical indenters.

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Based on the three-dimensional elastic inclusion model proposed by Dobrovolskii, we developed a rheological inclusion model to study earthquake preparation processes. By using the Corresponding Principle in the theory of rheologic mechanics, we derived the analytic expressions of viscoelastic displacement U(r, t) , V(r, t) and W(r, t), normal strains epsilon(xx) (r, t), epsilon(yy) (r, t) and epsilon(zz) (r, t) and the bulk strain theta (r, t) at an arbitrary point (x, y, z) in three directions of X axis, Y axis and Z axis produced by a three-dimensional inclusion in the semi-infinite rheologic medium defined by the standard linear rheologic model. Subsequent to the spatial-temporal variation of bulk strain being computed on the ground produced by such a spherical rheologic inclusion, interesting results are obtained, suggesting that the bulk strain produced by a hard inclusion change with time according to three stages (alpha, beta, gamma) with different characteristics, similar to that of geodetic deformation observations, but different with the results of a soft inclusion. These theoretical results can be used to explain the characteristics of spatial-temporal evolution, patterns, quadrant-distribution of earthquake precursors, the changeability, spontaneity and complexity of short-term and imminent-term precursors. It offers a theoretical base to build physical models for earthquake precursors and to predict the earthquakes.

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Models describing wet adhesion between indenters and substrates joined by liquid bridges are investigated. The influences of indenter shapes and various parameters of structures on capillary force are focused. In the former, we consider several shapes, such as conical, spherical and truncated conical indenter with a spherical end. In the latter, the effects of the contact angle, the environmental humidity, the gap between the indenter and the substrate, etc. are included. Different dependences of the capillary force on the indenter shapes and the geometric parameters are observed. Most interesting finding is that applying the present results to micro- and nano-indentation experiments shows the size effect in indentation hardness not produced but underestimated by the effects of capillary force.(4 refs)

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本文集共收录了作者24篇期刊论文和研究报告。其中,1943~1955年期间发表的14篇论文内容涉及直管中的可压缩流动、有限振幅柱面和球面波的传播、可压缩流体二维无旋亚声速、超声速混合型流动和上临界马赫数、光滑跨声速绕流及其稳定性、斜激波从平板边界层的反射、中等雷诺数下绕平板的流动等。1956~1957年期间发表的5篇论文:绕平板和楔的高超声速流动、普朗特数和解离对高超声速流动的影响以及增补的5篇文章是作者在高超声速流动领域的研究成果以及他在回国后的学术报告和发表的文章,涉及现代空气动力学的发展方向、发射卫星和返地回收的科学和技术问题,体现了他在参与“两弹一星”技术领导工作中的学术思想。
目录
1 On the force and moment acting on a body in shear flow(物体在剪切流中所受的力和力矩1943年)
2 The flow of a compressible viscous fluid through a straight pipe.(可压缩黏性流体在直管中的流动1943年)
3 Two dimensional irrotational mixed subsonic and supersonic flow of a compressible fluid and the upper critical Mach number(可压缩流体二维无旋亚声速和超声速混合型流动及上临界马赫数1946年)
4 On the stability of transonic flows(论跨声速流的稳定性1947年)
5 The propagation of a spherical or a cylindrical wave of finite amplitude and the production of shock waves(有限振幅球面波或柱面波的传播及激波的产生1947年)
6 Two-dimensional irrotational transonic flows of a compressible fluid(可压缩流体二维无旋跨声速流动1948年)
7 On the hodograph method(关于速度图方法1949年)
8 Two-dimensional transonic flow past airfoils(绕翼型的二维跨声速流1951年)
9 On the stability of two-dimensional smooth transonic flows(论二元光滑跨声速流的稳定性1951年)
10 On the flow of an incompressible viscous fluid past a flat plate at moderate Reynolds numbers(中等雷诺数下不可压缩黏性流体绕平板的流动1953年)
11 Reflection of a weak shock wave from a boundary layer along a flat plate.I:Interaction of weak shock waves with laminar and turbulent boundary lavers analyzed by momentum-integral method(弱激波从沿平板的边界层的反射Ⅰ:用动量积分方法分析弱激波与层流和湍流边界层的相互作用1953年)
12 Reflection of weak shock wave from a boundary layer along a flat plate.Ⅱ:Interaction of oblique shock wave with a laminar boundary layer analyzed by differential-equation method(弱激波从沿平板的边界层的反射Ⅱ:用微分方程方法分析斜激波与层流边界层的相互作用1953年)
13 Plane subsonic and transonic potential flows(平面亚、跨音速势流1954年)
14 A similarity rule for the interaction between a conical field and a plane shock(锥型流和激波相互作用的相似律1955年)
15 Viscous flow along a flat plate moving at high supersonic speeds(沿高超声速运动平板的黏性流动【Ⅰ】1956年)
16 Viscous flow along a flat plate moving at high supersonic speeds(沿高超声速运动平板的黏性流动【Ⅱ】1956年)
17 The effects of Prandtl number on high-speed viscous flows over a flat plate(Prandtl数对绕平板高速黏性流的影响1956年)
18 Compressible viscous flow past a wedge moving at hypersonic speeds(楔的高超声速可压缩黏性绕流1956年)
19 Dissociation effects in hypersonic viscous flows(高超声速黏性流动中的离解效应1957年)
20 现代空气动力学的问题(1957年)
2l 在关于苏联发射成功第一颗人造卫星座谈会上的发言记录(1957年)
22 高超速钝体湍流传热问题(1963年)
23 宇宙飞船的回地问题(1965年)
24 激波的介绍
郭永怀生平
郭永怀传

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In this paper, we studied the role of vertical component Of Surface tension of a water droplet on the deformation of membranes and microcantilevers (MCLs) widely used in lab-on-a-chip and micro-and nano-electromechanical system (MEMS/NEMS). Firstly, a membrane made of a rubber-like material, poly(dimethylsiloxane) (PDMS), was considered. The deformation was investigated using the Mooney-Rivlin (MR) model and the linear elastic constitutive relation, respectively. By comparison between the numerical solutions with two different models, we found that the simple linear elastic model is accurate enough to describe such kind of problem, which would be quite convenient for engineering applications. Furthermore, based on small-deflection beam theory, the effect of a liquid droplet on the deflection of a MCL was also studied. The free-end deflection of the MCL was investigated by considering different cases like a cylindrical droplet, a spherical droplet centered on the MCL and a spherical droplet arbitrarily positioned on the MCL. Numerical simulations demonstrated that the deflection might not be neglected, and showed good agreement with our theoretical analyses. (C) 2008 Elsevier Inc. All rights reserved.

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Spherical nano-indentations of Cu46Zr54 bulk metallic glass (BMG) model systems were performed using molecular dynamics (MD) computer simulations, focusing specifically on the physical origin of serrated plastic flow. The results demonstrate that there is a direct correlation between macroscopic flow serration and underlying irreversible rearrangement of atoms, which is strongly dependent on the loading (strain) rate and the temperature. The serrated plastic flow is, therefore, determined by the magnitude of such irreversible rearrangement that is inhomogeneous temporally. A dimensionless Deborah number is introduced to characterize the effects of strain rate and temperature on serrations. Our simulations are shown to compare favorably with the available experimental observations.

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The lift force on a spherical nanoparticle near a wall in micro/nanofluidics has not received sufficient attention so far. In this letter the concentration of 200 nm particles is measured at 0.25–2.0 m to a wall in a microchannel with pressure-driven de-ionized water flow pressure gradient 0–2000 kPa/m . The measured data show the influence of the lift force on the nanoparticle concentration distribution. By introducing the Saffman lift force into the Nernst–Planck equation near a wall, we find that the lift force is dominant at the range of 2

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The JTZ model [C. Jung, T. T¶el and E. Ziemniak, Chaos 3, (1993) 555], as a theoretical model of a plane wake behind a circular cylinder in a narrow channel at a moderate Reynolds number, has previously been employed to analyze phenomena of chaotic scattering. It is ex- tended here to describe an open plane wake without the con¯ned nar- row channel by incorporating a double row of shedding vortices into the intermediate and far wake. The extended JTZ model is found in qualitative agreement with both direct numerical simulations and ex- perimental results in describing streamlines and vorticity contours. To further validate its applications to particle transport processes, the in- teraction between small spherical particles and vortices in an extended JTZ model °ow is studied. It is shown that the particle size has signif- icant in°uences on the features of particle trajectories, which have two characteristic patterns: one is rotating around the vortex centers and the other accumulating in the exterior of vortices. Numerical results based on the extended JTZ model are found in qualitative agreement with experimental ones in the normal range of particle sizes.

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基于球形压入的工作方式,重点研究材料塑性力学参数的表征方法.首先,通过对球压入可测量的综合评价,选取能晕比(可释放功和压入总功之比)作为主要分析参数;其次,利用孔洞模型、量纲分析和数值模拟等工具,定义特定的代表性应变,建立起能量比和材料塑性力学参数之间的关系式,由此,提出一种能提取材料屈服应力和硬化指数的力学表征方法,该方法避免了对接触半径的测量,确保了方法的可操作性,并通过参数重组提高其稳定性;最后,选用45号钢和6061铝合金进行压入试验,与拉伸试验结果比对显示:该方法识别的塑性力学参数能满足工程测试需要.

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This paper presents exact density, velocity and temperature solutions for two problems of collisionless gas flows around a flat plate or a spherical object. At any point off the object, the local velocity distribution function consists of two pieces of Maxwellian distributions: one for the free stream which is characterized by free stream density, temperature and average velocity, n0, T0, U0; and the other is for the wall and it is characterized by density at wall and wall temperature, nw,Tw. Directly integrating the distribution functions leads to complex but exact flowfield solutions. To validate these solutions, we perform numerical simulations with the direct simulation Monte Carlo (DSMC) method. In general, the analytical and numerical results are virtually identical. The evaluation of these analytical solutions only requires less than one minute while the DSMC simulations require several days.

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A physical model is presented to describe the kinds of static forces responsible for adhesion of nano-scale copper metal particles to silicon surface with a fluid layer. To demonstrate the extent of particle cleaning, Received in revised form equilibrium separation distance (ESD) and net adhesion force (NAF) of a regulated metal particle with different radii (10-300 nm) on the silicon surface in CO2-based cleaning systems under different pressures were simulated. Generally, increasing the pressure of the cleaning system decreased the net adhesion force between spherical copper particle and silicon surface entrapped with medium. For CO2 + isopropanol cleaning system, the equilibrium separation distance exhibited a maximum at temperature 313.15 K in the Equilibrium separation distance regions of pressure space (1.84-8.02 MPa). When the dimension of copper particle was given, for example, High pressure 50 nm radius particles, the net adhesion force decreased and equilibrium separation distance increased with increased pressure in the CO2 + H2O cleaning system at temperature 348.15 K under 2.50-12.67 MPa pressure range. However, the net adhesion force and equilibrium separation distance both decreased with an increase in surfactant concentration at given pressure (27.6 or 27.5 MPa) and temperature (318 or 298 K) for CO2 + H2O with surfactant PFPE COO-NH4+ or DiF(8)-PO4-Na+. (C) 2008 Elsevier B.V. All rights reserved.