Abstract: The modelling theory of the optimal low-dimensional dynamical system of the fluctuation velocity equations of the Navier-Stokes equations was studied. The optimal target functional is the incompressibility and orthogonality of the fluctuation velocity basis function. The fully developed side-by-side...
Abstract: The numerical simulation was carried out based on the hydrodynamic equations, and the convection patterns in cavities with large aspect ratios heated laterally at inclined angle θ=90° were studied. For the fluid with Prandtl number Pr=6.99 in the range of reduced Rayleigh number 2≤Rar≤ 25, a single...
Abstract: Aimed at neutral balancing and specific-angle stable balancing of the underwater training spacesuit, through the mathematical description of the buoyancy balancing process, a new method of optimizing calculation for the buoyancy balancing scheme was proposed based on integer nonlinear programming of...
Abstract: Numerical simulations of head-on binary collisions between equal-size seawater droplets were conducted with the volume of fluid (VOF) method and the adaptive grid technique, to investigate the collision physics and mechanics of seawater droplets in shower cooling towers. Trial simulations of head-on...
Abstract: An efficient and accurate method was proposed for dynamic characteristics prediction of launch vehicles based on the equivalent beam model, with which the influence of liquid propellants can be considered. The equivalent beam model for the launch vehicle was established based on the cross-sectional ...
Abstract: The features of the ellipse criterion for fracture mechanics was briefly analyzed, and the general equation of the criterion was derived in the principal stress coordinate system. According to this general equation, a complete description of the theoretical fracture loci was proposed for the fractur...
Abstract: A displacement function suitable for plane curved beams in polar coordinates was introduced, and the partial differential governing equation for plane curved beams was obtained through theoretical analysis. Then, the displacement components and stress components were formulated with the displacement...
Abstract: Lateral unloading leads to development of many perilous rock masses on high and steep slopes. It is significant to judge the probability of instability under the action of rainfall and earthquake. For the perilous toppling rock, the physical and mechanical model with the most dangerous seismic force...
Abstract: In a topological vector space with variable ordering structures, a new nonlinear scalarization function was defined and its main properties were discussed. Meanwhile a family of semi-norms and a class of related normed linear spaces were constructed with this nonlinear scalarization function. Also t...
Abstract: The convergence of solutions to 2D viscous primitive equations of ocean dynamics in a cylindrical region was considered. A key parameter in this model is heat source, which is known to cause resonance between the inner layers of fluid and in turn trigger instability. Therefore, through derivation of...
