共查询到20条相似文献,搜索用时 765 毫秒
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基于实验与数值计算相结合的方法,针对不同密度比的疏水性球体开展了垂直入水空泡形态及水下流体动力特性研究。建立了基于高速摄像法的小型航行体入水实验系统,并进行了入水空泡高速录像观察。基于VOF方法和动网格技术建立了考虑表面润湿性的回转体入水数值模拟方法。通过与实验结果对比,验证了数值方法的准确性和有效性。基于对实验与数值结果的分析,总结了疏水性球体的入水空泡及水冠发展随密度比与入水冲击速度的变化规律,对比了不同密度比球体在水下空泡夹断前后的流体动力系数。结果表明:随着入水冲击速度的增加,球体动能加大,入水空泡和水冠尺度增大,并从准静态闭合空泡逐渐发展为深闭合及面闭合空泡,临界速度随着密度比的增加而减小。此外,空泡夹断后会形成上下两股高速射流,射流的进一步运动加速了水面及球体附近空泡的溃灭。在流体动力特性方面,球体带空泡航行阶段的时均流体动力系数随密度比的增加而减小,而随入水冲击速度的变化较小,同时空泡夹断会造成流体动力较大波动。 相似文献
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Intersecting spheres are useful in the design of pressure vessels for weight limited situations as in the case of space or ocean applications. This paper treats the general problem of N intersecting spheres demonstrating that mass reduction can be achieved in relation to the single sphere that encloses the same internal volume. It is shown that this reduction approaches asymptotically the value of 39.5%. 相似文献
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The trajectories of the fastest flight of a spacecraft (SC) with a solar sail from the Earth's sphere of activity to the Martian sphere of activity including the section of a perturbation maneuver near Venus are investigated. The planetary spheres of activity are assumed to be point-like; i.e., the maneuver section and the initial and final positions of the SC coincide with the corresponding positions of the planets. The initial velocity of the SC is assumed to be equal to the Earth's velocity, so that no leveling of the velocities of the SC and Mars in the final point of the flight is required. The perturbation maneuver is considered as a jump of the heliocentric velocity of the SC at the point of its contact with Venus, which does not change the magnitude of its Venus-centric velocity. The orbits of planets are assumed to be circular and coplanar; the SC trajectory lies at the plane of these orbits. The sail is planar with a specularly reflecting surface. The trajectories of optimum flights are determined as a result of solving the boundary value problem of the Pontryagin maximum principle. The families of solutions to this problem depending on the initial angular positions of Venus and Mars are constructed by the method of continuation over a parameter. 相似文献
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非线性晃动问题的ALE边界元方法 总被引:6,自引:0,他引:6
利用ALE(任意的Lagrange-Euler)边界元方法数值求解了具有自由液面的非线性晃动问题,即受外力激励下流体的非线性振动问题。把ALE有限元方法的思想应用到边界元方法中,得到了ALE边界元方法。对于自由液面的非线性动力边界条件,应用Galerkin加权方法进行了有限元数值离散。为了增加求解精度,对动力边界条件提出了增加误差修正项的数值求解方法。对时间变量采用Newmark方法进行离散。推导了系统非线性方程的预测-多次校正法迭代格式。进行了算例分析与比较,得到了令人比较满意的结果。 相似文献
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V. G. Vil’ke 《Cosmic Research》2010,48(3):273-282
A mechanical system consisting from N deformable spheres interacting according to the law of gravity is considered as a model of planetary system. Deformations
of the viscoelastic spheres are described according to the model of the theory of elasticity of small deformations, the Kelvin-Voigt
model of viscous forces, and occur under the action of gravitational fields and fields of centrifugal forces. Approximate
equations describing motions of the centers of mass of the spheres and their rotations relative to the centers of mass are
constructed by the method of separation of motions on the basis of solving quasistatic problems of the theory of viscoelasticity
with allowance made for smallness of sphere deformations. Using the first integral of conservation of the angular momentum
of the system relative to its center of mass, the expression for the changed potential energy is obtained with the use of
the Routh method. An investigation of stationary rotations is carried out, and it is shown that all of them are unstable,
if the number of planets is more than two. 相似文献
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L. V. Dokuchaev 《Cosmic Research》2002,40(1):37-47
The influence of dissipative forces in a viscous liquid that completely fills the cavities of a space object executing a rotational motion is analyzed. The Navier–Stokes equations are solved by expanding them into a series in terms of eigenfunctions of the boundary value problem on involving the resting liquid in rotation around the longitudinal axis of a cavity. The analytical solutions for coaxial cylindrical and concentric spherical cavities are obtained, in particular, for a straight circular cylinder and a sphere. The stability of the single-axis orientation of a space object filled with a viscous liquid is investigated. The dependences of rotation decay processes and drifts of the space object's longitudinal axis from a given direction are shown on the plane of constructive parameters. 相似文献
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本文通过边界元数值法求解了部分充液自旋球腔内的液体晃动问题。以流体运动的基本方程和系统运动的Euler动力学方程为基础,考虑了贮箱偏置、涡旋、重力及Coriolis力等因素对流体晃动和系统运动状态的影响,求解出液体的速度场,并在此基础上估算液体的能量耗散率和系统的章动时间常数 相似文献
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针对低重环境下旋转轴对称贮箱自由晃动和受侧向、纵向激励时的箱内液体晃动,用变分原理推导了基于低重环境下静液面形状的液体晃动的积分形式的动力学控制方程,由拉普拉斯方程得到用高斯超几何级数解析表达的速度势和波高,进而得到液体晃动的模态运动方程。分析了球形贮箱和Cassini贮箱内液体自由晃动基频,贮箱受侧向激励时液体晃动波高振幅、晃动对贮箱产生的晃动力和力矩、晃动的等效力学模型,以及贮箱受纵向激励时的晃动波高振幅、可能出现的参激共振问题。 相似文献
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For a two-layer model of the Moon that consists of a solid nonspherical mantle and an ellipsoidal homogeneous liquid core, a theory of forced librations under the effect of gravitational Earth’s moments has been developed. The motion of the Moon over its orbit has been described by the high-accuracy theory of DE/LE-4 orbital motion. Tables have been constructed that present forced librations of the Moon caused by the second harmonic of its force function, in the neighborhood of its motion according to the generalized Cassini laws. Disturbances of the first-order with respect to dynamic compressions of the Moon and its core are obtained in analytical form for Andoyer variables and Poincare variables and for the projection of the angular velocity vector of Moon’s mantle rotation and the Poincare coordinate system (relative to which core’s liquid accomplishes simple motion) on its major central axes of inertia, as well as for the classical variables in the Moon libration theory, etc. Constructed tables of the forced librations theory give the amplitudes and periods of librations and combinations of arguments of the orbital motion theory that correspond to libration parameters. The interpretation of basic variations has been given and a comparison with the previous theories has been carried out, in particular with the modern empirical theory constructed based on the laser observation data. 相似文献