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双语推荐:玻耳兹曼速度分布律

在热力学中,理想气体所组成的宏观热力学系统,由于不考虑重力场作用是遵从阿伏伽德罗实验定。对于实验中的真实气体是受重力场作用的,其宏观热力学系统就不严格遵从阿伏伽德罗实验定;如果把整个热力学系统按重力场方向分割成一系列的微观型的热力学系统,对这样的微观型系统却是遵从阿伏伽德罗实验定。文章运用气体分子动理论和玻耳兹曼速度分布律,对重力场中的微观型热力学系统所遵从的阿伏伽德罗实验定进行了统计证明。
In Thermodynamics, the macro-thermodynamical system which is formed by ideal gas obeys the Avogadro law without considering the function of gravity field. However , in the experiment, the real gas will be influenced by the gravity field , so the macro-thermodynamical system does not follow the Avogadro law. But if splitting the whole thermodynamical system into a series of micro-thermodynamical system in accordance with the direction of the gravity field , the micro-thermodynamical system follows the Avogadro law. In this paper, the theory of molecular dynamics and boltzmann velocity distribution law are applied to statistically prove the Avogadro law followed by thermodynamic system in gravity field.

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在高纬电离层,由于受大的对流电场的影响,致使离子的速度分布函数常常会表现为非麦克斯韦分布形式.通过简化玻耳兹曼弛豫碰撞模型下离子速度非麦克斯韦分布函数的积分解,得到了离子呈环形分布速度分布函数,并模拟和图解分析了离子速度分布函数呈环形分布的特征.同时,基于离子温度各向异性,模拟并分析了当离子速度分布函数呈环形时,不同方向上的离子非相干散射功率谱.理论研究表明,在离子碰撞频率较低的高纬电离层,随着电离层对流电场的增强,离子速度分布函数呈环形分布的特征愈加明显,且考虑离子温度各向异性等因素对功率谱的影响,能更加符合高纬电离层实际.
Considering the relatively strong electric field and small collision frequency between ion and neutral in the high-latitude ionosphere ,the integral solution of the non-Maxwellian ion velocity distribu-tion function for the relaxation collision model is simplified ,the torus distribution function for ion veloc-ity is obtained ,and the characteristic of the torus distribution function is analyzed .Meanwhile ,using the electromagnetic theory of the incoherent scattering proposed by Sheffield ,and taking into account the ion temperature anisotropy and its variation with the electric field ,the incoherent scattering power spectrum of ion in different direction is simulated .The research shows that the ionospheric electric field , the ion-neutral collision frequency and the ion anisotropic temperature distribution is all have an effect on incoherent scatter spectra ,the research content provides a theoretical basis for further understanding the high-latitude ionosphere and improving detecti

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运用晶格兹曼方法对单个悬浮粒子在锥形管中的运动进行了数值计算,给出了锥形管流体的速度分布和压力分布等.粒子所受的流体作用力分别用动量交换法、改进的动量交换法和压力张量积分法进行计算.分析了在不同初始位置释放的粒子的运动轨迹和速度变化情况,结果表明压力张量积分法和改进的动量交换法的计算结果一致,而没有改进的动量交换法的计算结果和前两者略有不同.
@@@@Based on the lattice Boltzmann method, the motion of single suspended particle in tapered tube is simulated numerically. The distributions of velocity and pressure in the flow field are obtained. The hydrodynamic force on the particle boundary is evaluated by conventional momentum exchange method (CME), lattice-type-dependent momentum-exchange method (LME) and stress tensor integral method (STI) separately. The variations of velocity and the trajectory of the particle which starts at different places are analyzed, the results evaluated by LME are in excellent agreement with those by STI and the results evaluated by CME are slightly different from those by the former two methods.

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主要研究了影响非定常动边界问题的一些基本参数并分析了其与推进力的关系。数值模拟采用格子波尔兹曼方法求解流场信息,并用浸入边界速度修正方法进行边界处速度的修正。研究对象为二维情况下摆动的鱼,影响推进力的参数有鱼体的形状、频率、波长、雷诺数。通过对各个参数的一系列模拟,得出其对推进力的不同影响关系。本文总共选取五种形状的鱼体,其运动模式为鱼体中线以行波的方式做横向摆动。最后,从涡的角度分析鱼的尾尖在不同位置时鱼体表面涡的分布情况,得到旋涡变化与鱼身运动的相互关系。通过研究发现,不同形状的鱼推进力不同,在高频、增大波长、增大雷诺数时,推进力增大。
The current study mainly focuses on some fundamental parameters that affect the unsteady moving boundary problems.The relationships between the propulsion force and these parameters are ana-lyzed.To numerically simulate fish swimming in this work,the Lattice Boltzmann Method (LBM)is applied to obtain the information of flow field.At the same time,the velocity near the body is corrected via the Im-mersed Boundary Velocity Correction Method (IBVCM).Here,a two-dimensional oscillating fish is studied and the factors affecting the fish swimming,which are investigated in current study,are the shape,frequen-cy,wavelength,and Reynolds number as well.After a series of simulations with different parameters,the correspondly effects on the propulsion force are obtained.Five kinds of shapes are selected for the fish body, and its motion mode is that the centerline of fish oscillates transversally in the form of traveling wave.More-over,from the perspective of vortex,the vortex distribution is analy
建立了二维双组分两相流的大密度比格子兹曼方法(lattice Boltzmann method,LBM)模型.该模型基于改进的Shan-Chen伪势多相流LBM模型,结合采用不同时间步长的方法,实现密度比达800以上的气液两相流模拟.为了对模型进行验证,模拟了在不同气液相互作用系数和密度比条件下气泡内外压力差与其半径之间的关系,其结果满足Laplace定.将所建立的大密度比LBM与介观尺度的元胞自动机(cellul arautomaton,CA)和有限差分法(FDM)相耦合,用LBM模拟气液两相流,用CA方法模拟固相生长,用有限差分法模拟温度场,采用LBM-CA-FDM耦合模型对定向凝固过程中凝固前沿的气泡与液-固界面之间的相互作用进行模拟研究.结果表明,绝热气泡的存在影响了温度场分布,使得凝固前沿接近气泡时,液-固界面凸起,在不同的固相生长速度条件下,出现凝固前沿淹没气泡或气泡脱离凝固前沿的不同情况,模拟结果与实验结果符合良好.
10.7498/aps.62.120502

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