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Thermal Creep Flow for the Boltzmann Equation 被引量:1
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作者 Feimin HUANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2015年第5期855-870,共16页
It is known that the Boltzmann equation has close relation to the classical systems in fluid dynamics. However, it provides more information on the microscopic level so that some phenomena, like the thermal creep flow... It is known that the Boltzmann equation has close relation to the classical systems in fluid dynamics. However, it provides more information on the microscopic level so that some phenomena, like the thermal creep flow, can not be modeled by the classical systems of fluid dynamics, such as the Euler equations. The author gives an example to show this phenomenon rigorously in a special setting. This paper is completely based on the author's recent work, jointly with Wang and Yang. 展开更多
关键词 thermal creep flow Non-classical fluid system Boltzmann equation
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THERMAL CREEP FLOW IN THE RAREFIED GAS
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作者 Feimin Huang 《Annals of Applied Mathematics》 2019年第3期250-265,共16页
The usual heat flow moves along the direction from high temperature place to the low one,as often observed in the daily life.However,when the gas is very rarefied,the gas may move along a different way,that is,the so-... The usual heat flow moves along the direction from high temperature place to the low one,as often observed in the daily life.However,when the gas is very rarefied,the gas may move along a different way,that is,the so-called thermal creep flow moves along the direction from the low temperature place to the high one.In this note,we will survey our recent mathematical works on this topic,mainly based on[27]and[25]. 展开更多
关键词 thermal creep flow rarefied gas Boltzmann equation low Mach limit Compressible Navier-Stokes equations
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Numerical Simulations of Rarefied Gases in Curved Channels: Thermal Creep, Circulating Flow, and Pumping Effect 被引量:1
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作者 Kazuo Aoki Pierre Degond Luc Mieussens 《Communications in Computational Physics》 SCIE 2009年第10期919-954,共36页
We present numerical simulations of a new system of micro-pump based on the thermal creep effect described by the kinetic theory of gases.This device is made of a simple smooth and curved channel with a periodic tempe... We present numerical simulations of a new system of micro-pump based on the thermal creep effect described by the kinetic theory of gases.This device is made of a simple smooth and curved channel with a periodic temperature distribution.Using the Boltzmann-BGK model as the governing equation for the gas flow,we develop a numerical method based on a deterministic finite volume scheme,implicit in time,with an implicit treatment of the boundary conditions.This method is comparatively less sensitive to the slow flow velocity than the usual Direct Simulation Monte Carlo method in case of long devices,and turns out to be accurate enough to compute macroscopic quantities like the pressure field in the channel.Our simulations show the ability of the device to produce a one-way flow that has a pumping effect. 展开更多
关键词 Knudsen compressor thermal creep flow transpiration flow BGK model implicit scheme
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非均匀介质热蠕变流动的数值求解 被引量:6
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作者 刘洁 刘启元 宋惠珍 《地球物理学报》 SCIE EI CAS CSCD 北大核心 2006年第4期1029-1036,共8页
针对非均匀介质中热蠕变流动问题,给出了有限单元方法与网格-粒子方法联合求解新技术,即有限单元方法求解欧拉网格节点上的未知量,分布于单元内部作为物质成分标记的粒子反映变形过程.有限元法求解动量方程和连续性方程时引入了速度场... 针对非均匀介质中热蠕变流动问题,给出了有限单元方法与网格-粒子方法联合求解新技术,即有限单元方法求解欧拉网格节点上的未知量,分布于单元内部作为物质成分标记的粒子反映变形过程.有限元法求解动量方程和连续性方程时引入了速度场和压力场等阶插值的压力场稳定的Petrov-Galerkin方法,求解能量方程时采用了流线迎风Petrov-Galerkin方法,网格-粒子算法中采用双线性插值与有限单元插值函数对应.有限单元计算与网格-粒子计算相对独立,两种方法计算的数据通过有限单元节点传递.同时,实现了三角形单元的算法和程序,解决了复杂结构条件下不规则网格计算的问题.通过经典方腔热对流问题验证了程序,给出了不规则形态块体沉降算例,并分析了数值解的稳定性. 展开更多
关键词 非均匀介质 热蠕变流动 网格-粒子 有限单元方法
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热循环频率对铸态Zn-Al合金相变超塑性的影响 被引量:4
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作者 石志强 李世春 刘宇慧 《石油大学学报(自然科学版)》 CSCD 北大核心 2004年第3期69-71,74,共4页
用恒载荷蠕变法研究了热循环频率对质量分数为 5 %的铝的铸态Zn Al合金相变超塑性的影响。研究结果表明 ,在温度为 2 0~ 35 0℃循环条件下进行拉伸时 ,铸态Zn Al合金的延伸率能超过 10 0 % ,呈现相变超塑性特征。改变热循环频率对铸态Z... 用恒载荷蠕变法研究了热循环频率对质量分数为 5 %的铝的铸态Zn Al合金相变超塑性的影响。研究结果表明 ,在温度为 2 0~ 35 0℃循环条件下进行拉伸时 ,铸态Zn Al合金的延伸率能超过 10 0 % ,呈现相变超塑性特征。改变热循环频率对铸态Zn Al合金的相变超塑性有很大影响。若保持循环温度和外加载荷不变 ,随着热循环频率的提高 ,铸态Zn Al合金的相变超塑性延伸率增大 ,而准稳态蠕变阶段的应变速率则有所降低。Zn Al铸态合金的这种相变超塑性与共析相变过程中新、旧相间的界面行为有很大关系 ,相变过程中产生的内应力在外应力的偏置作用下使新、旧相界面间的Zn Al合金发生牛顿粘滞性流动 ,而界面间的原子扩散对热循环中Zn Al合金的变形起着重要的协调作用。 展开更多
关键词 ZN-AL合金 延伸率 热循环频率 恒载荷蠕变法 金属材料
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矩形微通道Knudsen泵中的气体传输特性研究 被引量:2
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作者 王晓伟 张志军 +2 位作者 张文青 苏天一 张世伟 《真空与低温》 2020年第1期73-81,共9页
Knudsen泵是一种基于微尺度条件下的热蠕流效应诱导气体从低温侧向高温侧流动的微型泵。为探究气体种类和分子模型对气体在Knudsen泵通道中传输特性的影响,运用直接模拟蒙特卡罗(DSMC)方法,针对经典的矩形微通道开展了研究。文中分别考... Knudsen泵是一种基于微尺度条件下的热蠕流效应诱导气体从低温侧向高温侧流动的微型泵。为探究气体种类和分子模型对气体在Knudsen泵通道中传输特性的影响,运用直接模拟蒙特卡罗(DSMC)方法,针对经典的矩形微通道开展了研究。文中分别考虑了三种气体(Ar、N2和O2)和三种分子模型(HS、VHS和VSS)在不同工况压力下的变化情况。研究发现,不同种类气体和分子模型不会引起通道中宏观流场的明显变化。对于分子质量较轻的气体,其具有更强的热蠕流效应,且其最强热蠕流效应所对应的压力越大。对于分子模型,VHS模型的热蠕流效应最强,HS模型的热蠕流效应最弱。因此,相比于更能反映真实气体分子运动规律的VSS模型而言,当采用VHS模型时会高估泵的性能,反之,采用HS模型时会低估泵的性能。 展开更多
关键词 气体种类 分子模型 热蠕流 Knudsen泵 矩形微通道 DSMC
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进口锅炉三级过热器整体国产化改造探讨
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作者 李文华 陈培淋 +2 位作者 程国辉 柯安鹏 张富荣 《南方能源建设》 2022年第S01期63-68,共6页
[目的]珠海电厂由日本三菱重工设计制造的700 MW进口锅炉三级过热器长期服役后近年爆管频发,爆管类型均为典型长期过热导致的失效,金相组织球化严重,力学性能普遍下降,表明炉管处于长期较高温度运行状态,需查明长期过热原因并提出解决... [目的]珠海电厂由日本三菱重工设计制造的700 MW进口锅炉三级过热器长期服役后近年爆管频发,爆管类型均为典型长期过热导致的失效,金相组织球化严重,力学性能普遍下降,表明炉管处于长期较高温度运行状态,需查明长期过热原因并提出解决方案。[方法]为查明三级过热器频繁爆管原因,对三级过热器受热面管屏不同材质管段氧化皮厚度情况进行了测试分析并计算其蠕变剩余寿命,对三级过热器各管屏之间的流量偏差情况进行了计算和沿炉膛宽度方向上的吸热偏差情况进行了统计分析。[结果]发现T91材质有59%的管段剩余寿命不足5×10^(4)h,39%的管段剩余寿命不足1×10^(4)h;T23材质有25%的管段剩余寿命不足5×10^(4)h,9%的管段剩余寿命不足1×10^(4)h,三级过热器管材普遍机械性能劣化严重。三级过热器各管屏之间的流量偏差达到10.6%,沿宽度方向上的吸热偏差达到60℃,已无法通过更换新管段解决问题,需进行整体设计改造。[结论]根据上述研究结果实施了国产化改造方案,改造重点在降低热偏差,通过增大进出口集箱直径,减小了集箱中的工质流速和沿集箱轴向的静压不均匀性,进而减小集箱效应产生的流量偏差,使集箱流量偏差减小到2.24%;流量偏差的减小降低了沿炉膛宽度方向上管屏的壁温偏差,偏差减小到40℃。此外充分考虑三级过热器所处辐射和对流换热环境,对受热面材质进行了提升强度等级改造,材质由5种减少到4种,规格由23种减少到12种,减少了采购和维护成本。 展开更多
关键词 进口锅炉 蠕变寿命 流量偏差 热量偏差 国产化
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A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows III:Microflow Simulations 被引量:5
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作者 Juan-Chen Huang Kun Xu Pubing Yu 《Communications in Computational Physics》 SCIE 2013年第10期1147-1173,共27页
Due to the rapid advances inmicro-electro-mechanical systems(MEMS),the study of microflows becomes increasingly important.Currently,the molecular-based simulation techniques are the most reliable methods for rarefied ... Due to the rapid advances inmicro-electro-mechanical systems(MEMS),the study of microflows becomes increasingly important.Currently,the molecular-based simulation techniques are the most reliable methods for rarefied flow computation,even though these methods face statistical scattering problem in the low speed limit.With discretized particle velocity space,a unified gas-kinetic scheme(UGKS)for entire Knudsen number flow has been constructed recently for flow computation.Contrary to the particle-based direct simulation Monte Carlo(DSMC)method,the unified scheme is a partial differential equation-based modeling method,where the statistical noise is totally removed.But,the common point between the DSMC and UGKS is that both methods are constructed through direct modeling in the discretized space.Due to the multiscale modeling in the unified method,i.e.,the update of both macroscopic flow variables and microscopic gas distribution function,the conventional constraint of time step being less than the particle collision time inmany direct Boltzmann solvers is released here.The numerical tests show that the unified scheme is more efficient than the particle-basedmethods in the low speed rarefied flow computation.Themain purpose of the current study is to validate the accuracy of the unified scheme in the capturing of non-equilibrium flow phenomena.In the continuum and free molecular limits,the gas distribution function used in the unified scheme for the flux evaluation at a cell interface goes to the corresponding Navier-Stokes and free molecular solutions.In the transition regime,the DSMC solution will be used for the validation of UGKS results.This study shows that the unified scheme is indeed a reliable and accurate flow solver for low speed non-equilibrium flows.It not only recovers the DSMC results whenever available,but also provides high resolution results in cases where the DSMC can hardly afford the computational cost.In thermal creep flow simulation,surprising solution,such as the gas flowing from hot to cold regions along the wall surface,is observed for the first time by the unified scheme,which is confirmed later through intensive DSMC computation. 展开更多
关键词 Unified scheme non-equilibrium microflow thermal creep flows
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