THE CHARACTERISTIC FINITE DIFFERENCE METHOD FOR THREE-DIMENSIONAL MOVING BOUNDARY VALUE PROBLEM

The software for oil-gas transport and accumulation is to describe the history of oil-gas transport and accumulation in basin evolution. It is of great value in rational evaluation of prospecting and exploiting oil-gas resources. The mathematical model can be discribed as a coupled system of nonlinear partial differential equations with moving boundary value problem. For a generic case of the three-demensional bounded region, bi this thesis, the effects of gravitation、buoyancy and capillary pressure are considered, we put forward a kind of characteristic finite difference schemes and make use thick and thin grids to form a complete set, and of calculus of vaviations, the change of variable, the theory of prior estimates and techniques, Optimal order estimates in l~2 norm are derived for the error in approximate assumption, Thus we have completely solved the well-known theoretical problem proposed by J. Douglas, Jr.     

热声交变流动中浮力效应理论分析

热声交变流动是热声热机的工作基础,研究交变流动机理有助于人们认识热声热机的工作过程。鉴于前人的理论分析一般没有考虑浮力效应的影响,本文从流体热动力学的角度研究了浮力对流与热声交变流动的耦合规律。基于线性理论方法,给出了考虑浮力项和热对流Rayleigh数的热声线性理论模型,分析了浮力效应对平行交变流动的影响,发现热对流...     

Surface tension effects on the behaviour of a rising bubble driven by buoyancy force

In the inviscid and incompressible fluid flow regime,surface tension effects on the behaviour of an initially spherical buoyancy-driven bubble rising in an infinite and initially stationary liquid are investigated numerically by a volume of fluid (VOF) method. The ratio of the gas density to the liquid density is 0.001, which is close to the case of an air bubble rising in water. It is found by numerical experiment that there exist four critical Weber numbers We₁,~We₂,~We₃ and We₄, which distinguish five different kinds of bubble behaviours. It is also found that when 1≤We2, the bubble will finally reach a steady shape, and in this case after it rises acceleratedly for a moment, it will rise with an almost constant speed, and the lower the Weber number is, the higher the speed is. When We >We₂, the bubble will not reach a steady shape, and in this case it will not rise with a constant speed. The mechanism of the above phenomena has been analysed theoretically and numerically.     

Combined free and forced convection for developed flow in curved pipes with finite curvature ratio

Combined free and forced convection for developed flow in a curved pipe with arbitrary curvature ratio is studied numerically. The curved pipe is heated with axially uniform heat flux, while the wall temperature is maintained peripherally uniform. The buoyancy force is accounted by the Boussinesq approximation. The effects of the Dean, Prandtl, and Rayleigh numbers and especially of a wide range of curvature ratios on the flow resistance and the average heat transfer rate are presented. The significant distortion of the dividing streamline and the appearance of the secondary flow with one dominant cell for pipe flow with higher buoyancy force and curvature ratio are also discussed.     

双联压强计的设计及使用

用有机玻璃板和橡皮膜制成了双联压强计,不仅可以直观的演示液体中的内部压强,还可以演示浮力的有关实验.     

竖直圆管中超临界压力CO2在低Re数下对流换热研究

本文对超临界压力CO2自下而上流过内径为2mm的加热圆管,在低进口Re (Rein≈1700)条件下的对流换热进行了数值模拟,并与实验结果进行了比较.结果表明,在进口雷诺数较低(Rein≈1700)而热流密度较高时,由于密度变化导致浮升力对流动产生扰动,流动从层流提前转变为湍流,换热大大增强并导致壁面温度的异常分布.使用LB湍流模型可以较好地模拟此时流动从层流向湍流的过渡现象,而采用层流与湍流相结合的分区计算方法的结果与实验测量值吻合得更好.由于浮升力的影响,径向速度呈M型分布,速度最大值在靠近壁面某处;当热流密度很大时,在管子中心区会出现回流.     

浮力对环形液池内热毛细对流的影响

为了了解浮力的影响,对水平温度梯度作用时环形液池内的热毛细对流进行了非稳态三维数值模拟,环形液池外壁被加热,半径为40 mm,内壁被冷却,半径为20 mm,液池深度为(1-17)mm,流体为0．65cSt的硅油,其Pτ数为6．7．模拟结果表明,当水平温度梯度较小时,流动为轴对称稳态流动,随着温度梯度的增加,流动将会失去其稳定性,在浅液池内,转化为热流体波,浮力对失稳后的流型无影响,但会使热流体波的振幅下降;在深液池内,在常重力条件下,转化成三维稳定流动,在微重力和小重力条件下,转化为三维振荡流动．     

水下训练服浮力配平的整数非线性规划方法

针对水下训练服随遇平衡和特定角度下稳定平衡的浮力配平需求,通过对配平过程进行数学描述,基于分支定界算法的整数非线性规划,提出了一种用于浮力配平方案优化计算的方法.对给定初始值的水下训练服,在随遇平衡和不同角度下的稳定平衡条件下,计算得到最优的浮力配平结果,表明了该方法计算配平方案的有效性.该方法对不同配平对象、配平目标的浮力配平过程都有很好的指导意义.