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Analytical Solution for Peristaltic Transport of Viscous Nanottuid in an Asymmetric Channel with Full Slip and Convective Conditions 认领
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《理论物理通讯:英文版》 SCIE CAS CSCD 2017年第7期96-102,共7页
关键词 对流边界条件 精确解析解 粘性流体 非对称信道 滑移 蠕动 颗粒体积分数 运输
Entropy generation analysis for the peristaltic flow of Cu-water nanofluid in a tube with viscous dissipation 认领
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作者 Noreen Sher Akbar Adil Wahid Butt 《水动力学研究与进展:英文版》 SCIE EI CSCD 2017年第1期135-143,共9页
当前的调查的目的是在熵产生上检验不同物理参数的影响。熵产生数字由于热转移和液体磨擦被提出。越过试管的速度和温度分布与压力属性一起被介绍。速度和温度侧面的准确分析答案被获得。熵产生数字在区域结束达到高价值到试管的墙,这... 当前的调查的目的是在熵产生上检验不同物理参数的影响。熵产生数字由于热转移和液体磨擦被提出。越过试管的速度和温度分布与压力属性一起被介绍。速度和温度侧面的准确分析答案被获得。熵产生数字在区域结束达到高价值到试管的墙,这被发现,当它在试管的中心附近掉到低价值时。 展开更多
关键词 熵产分析 纳米流体 粘性耗散 蠕动 温度分布 熵产生数 精确解析解 物理参数
On the Theory of Fragmentation Process with Initial Particle Volume 认领
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作者 D. V. Alexandrov 《理论物理通讯:英文版》 SCIE CAS CSCD 2017年第8期269-271,共3页
破碎(崩溃) 的问题过程理论上为起始的粒子音量与津贴被学习。管理破碎现象的 integro 微分的模型的一个准确分析答案被获得。导致粒子尺寸分发函数的实质的变化的粒子的有限的起始的卷的关键角色被表明。
关键词 破碎过程 粒径 精确解析解 微分模型 分布函数 体积 颗粒 积分
Fermionic Particle Production by Varying Electric and Magnetic Fields 认领
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作者 Kenan Sogut Hilmi Yanar Ali Havare 《理论物理通讯:英文版》 SCIE CAS CSCD 2016年第11期521-525,共5页
Creation of fermionic particles by a time-dependent electric field and a space-dependent magnetic field is studied with the Bogoulibov transformation method. Exact analytic solutions of the Dirac equation are obtained... Creation of fermionic particles by a time-dependent electric field and a space-dependent magnetic field is studied with the Bogoulibov transformation method. Exact analytic solutions of the Dirac equation are obtained in terms of the Whittaker functions and the particle creation number density depending on the electric and magnetic fields is determined. 展开更多
关键词 粒子数密度 磁场 电场 费米 精确解析解 狄拉克方程 变换方法 空间相关
Analytical solutions for plane problem of functionally graded magnetoelectric cantilever beam 认领
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作者 Yanmei YUE Xiaofen YE Kaiyu XU 《应用数学和力学:英文版》 SCIE EI CSCD 2015年第7期955-970,共16页
In this paper, an exact analytical solution is presented for a transversely isotropic functionally graded magneto-electro-elastic(FGMEE) cantilever beam, which is subjected to a uniform load on its upper surface, as w... In this paper, an exact analytical solution is presented for a transversely isotropic functionally graded magneto-electro-elastic(FGMEE) cantilever beam, which is subjected to a uniform load on its upper surface, as well as the concentrated force and moment at the free end. This solution can be applied for any form of gradient distribution.For the basic equations of plane problem, all the partial differential equations governing the stress field, electric, and magnetic potentials are derived. Then, the expressions of Airy stress, electric, and magnetic potential functions are assumed as quadratic polynomials of the longitudinal coordinate. Based on all the boundary conditions, the exact expressions of the three functions can be determined. As numerical examples, the material parameters are set as exponential and linear distributions in the thickness direction. The effects of the material parameters on the mechanical, electric, and magnetic fields of the cantilever beam are analyzed in detail. 展开更多
关键词 精确解析解 平面问题 功能梯度 悬臂梁 偏微分方程 精确表达式 磁电 横向各向同性
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New Exact Solutions of Fractional Zakharov-Kuznetsov and Modified Zakharov-Kuznetsov Equations Using Fractional Sub-Equation Method 认领
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作者 S.Saha Ray S.Sahoo 《理论物理通讯:英文版》 SCIE CAS CSCD 2015年第1期25-30,共6页
在现在的纸,我们在数学物理构造一些非线性的进化方程的分析准确答案;也就是时空部分 ZakharovKuznetsov (ZK ) 和修改 ZakharovKuznetsov (mZK ) 由使用部分亚方程的方程方法。作为结果,准确分析答案的新类型被获得。获得的结果图... 在现在的纸,我们在数学物理构造一些非线性的进化方程的分析准确答案;也就是时空部分 ZakharovKuznetsov (ZK ) 和修改 ZakharovKuznetsov (mZK ) 由使用部分亚方程的方程方法。作为结果,准确分析答案的新类型被获得。获得的结果图形地被显示出。这里,部分衍生物在 Jumarie' 被描述修改 RiemannLiouville 感觉。 展开更多
关键词 非线性发展方程 分数阶导数 修改 精确解析解 数学物理 方程法 时空 黎曼
Physiological Transportation of Casson Fluid in a Plumb Duct 认领
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作者 Noreen Sher Akbar Adil Wahid Butt 《理论物理通讯:英文版》 SCIE CAS CSCD 2015年第3期347-352,共6页
这份报纸被奉献给在一个水平试管伴随的非牛顿的液体的 Casson 液体的蠕动的运动的研究。描绘非牛顿的液体行为,我们考虑了 Casson 液体模型。合适的类似转变被利用转变管理部分微分动量进非线性的平常的微分方程。这些方程的准确分析... 这份报纸被奉献给在一个水平试管伴随的非牛顿的液体的 Casson 液体的蠕动的运动的研究。描绘非牛顿的液体行为,我们考虑了 Casson 液体模型。合适的类似转变被利用转变管理部分微分动量进非线性的平常的微分方程。这些方程的准确分析答案被获得并且是速度,压力和侧面的性质然后图形地被学习。 展开更多
关键词 卡森流体 非线性微分方程 非牛顿流体 运输 生理 管道 偏微分方程 精确解析解
Exact Solution for Clustering Coefficient of Random Apollonian Networks 认领
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作者 方频捷 张端明 +1 位作者 何敏华 蒋小勤 《中国物理快报:英文版》 SCIE CAS CSCD 2015年第8期221-223,共3页
关键词 精确解析解 聚类系数 阿波罗 网络 随机 物理系 模拟 级数
Exact analytical solutions for moving boundary problems of one-dimensional flow in semi-infinite porous media with consideration of threshold pressure gradient 认领
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作者 王晓冬 朱光亚 王磊 《水动力学研究与进展:英文版》 SCIE EI CSCD 2015年第4期542-547,共6页
By defining new dimensionless variables, nonlinear mathematical models for one-dimensional flow with unknown moving boundaries in semi-infinite porous media are modified to be solved analytically. The exact analytical... By defining new dimensionless variables, nonlinear mathematical models for one-dimensional flow with unknown moving boundaries in semi-infinite porous media are modified to be solved analytically. The exact analytical solutions for both constant-rate and constant-pressure inner boundary constraint problems are obtained by applying the Green’s function. Two transcendental equations for moving boundary problems are obtained and solved using the Newton-Raphson iteration. The exact analytical solutions are then compared with the approximate solutions. The Pascal’s approximate formula in reference is fairly accurate for the moving boundary development under the constant-rate condition. But another Pascal’s approximate formula given in reference is not very robust for constant-pressure condition problems during the early production period, and could lead to false results at the maximum moving boundary distance. Our results also show that, in presence of larger TPG, more pressure drop is required to maintain a constant-rate production. Under the constant-pressure producing condition, the flow rate may decline dramatically due to a large TPG. What’s more, there exists a maximum distance for a given TPG, beyond which the porous media is not disturbed. 展开更多
关键词 移动边界问题 精确解析解 多孔介质 压力梯度 一维流动 半无限 PASCAL 非线性数学模型
低渗透多孔介质渗流动边界模型的解析与数值解 认领 被引量:8
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作者 刘文超 姚军 +2 位作者 陈掌星 刘曰武 孙海 《力学学报》 EI CSCD 北大核心 2015年第4期605-612,共8页
考虑启动压力梯度的低渗透多孔介质非达西渗流模型属于强非线性动边界问题,分别利用相似变量变换方法和基于空间坐标变换的有限差分方法,对内边界变压力情况下、考虑启动压力梯度的一维低渗透多孔介质非达西渗流动边界模型进行了精确解... 考虑启动压力梯度的低渗透多孔介质非达西渗流模型属于强非线性动边界问题,分别利用相似变量变换方法和基于空间坐标变换的有限差分方法,对内边界变压力情况下、考虑启动压力梯度的一维低渗透多孔介质非达西渗流动边界模型进行了精确解析与数值求解研究.研究结果表明:该动边界模型存在唯一的精确解析解,且所求得的精确解析解可严格验证数值解的正确性;且当启动压力梯度值趋于零时,非达西渗流动边界模型的精确解析解将退化为达西渗流情况下的精确解析解.由求解结果作出的非零无因次启动压力梯度下的地层压力分布曲线表现出紧支性特点,其与达西渗流模型的有显著不同.因此,研究低渗透多孔介质中非稳态渗流问题时,应该考虑动边界的影响.研究内容完善了低渗透多孔介质的非达西渗流力学理论,为低渗透油气藏开发的试井解释与油藏数值模拟技术提供了理论基础. 展开更多
关键词 低渗透油藏 启动压力梯度 动边界 精确解析解 数值
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The Improved Modified Decomposition Method for the Treatment of Systems of Singular Nonlinear Partial Differential Equations with Initial Conditions 认领
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作者 DALIR Nemat NOURAZAR S. Salman 《偏微分方程:英文版》 2014年第4期357-372,共16页
关键词 非线性偏微分方程组 方法 治疗 奇异 逆微分算子 初始值问题 精确解析解 物理学
Transient flows of Maxwell fluid with slip conditions 认领
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作者 T. HAYAT S. ZAIB +2 位作者 S. ASGHAR K. BHATTACHARYYA S. A. SHEHZAD 《应用数学和力学:英文版》 SCIE EI 2013年第2期153-166,共14页
Two fundamental flows, namely, the Stokes and Couette flows in a Maxwell fluid are considered. The exact analytic solutions are derived in the presence of the slip condition. The Laplace transform method is employed f... Two fundamental flows, namely, the Stokes and Couette flows in a Maxwell fluid are considered. The exact analytic solutions are derived in the presence of the slip condition. The Laplace transform method is employed for the development of such solutions. Limiting cases of no-slip and viscous fluids can be easily recovered from the present analysis. The behaviors of embedded flow parameters are discussed through graphs. 展开更多
关键词 MAXWELL流体 滑移 瞬时流量 精确解析解 流体流动 麦克斯韦 变换方法 拉普拉斯
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任意厚度具有自由边叠层板的精确解析解 认领 被引量:8
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作者 王德才 关群 范家让 《应用数学和力学》 CSCD 北大核心 2013年第7期672-686,共15页
自由边问题一直是三维弹性力学中的难题,通常很难满足自由边上一个正应力和两个剪应力都等于0.基于三维弹性力学基本方程和状态空间方法,引入自由边界位移函数并考虑全部弹性常数,建立了正交异性具有自由边单层和叠层板的状态方程... 自由边问题一直是三维弹性力学中的难题,通常很难满足自由边上一个正应力和两个剪应力都等于0.基于三维弹性力学基本方程和状态空间方法,引入自由边界位移函数并考虑全部弹性常数,建立了正交异性具有自由边单层和叠层板的状态方程.对状态方程中的变量以级数形式展开,通过边界条件的满足精确求解任意厚度具有自由边叠层板的位移和应力,此解满足层问应力和位移的连续条件.算例计算表明,采用引入的位移函数形式,简化了计算过程并且采用较少的级数项可以获得收敛解.与有限元方法计算结果进行了对比,可以得到较高精度的数值结果.其解可以作为其它数值方法和半解析方法的参考解. 展开更多
关键词 叠层板 自由边界 状态方程 精确解析解
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Explicit Analytical Solutions of Radial Permeable Power Rate Flow 认领
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作者 LI Yuanyuan CAI Ruixian 《中国机械工程学报》 SCIE EI CAS CSCD 2011年第2期 220-223,共4页
<正>The research of different kinds of permeable non-Newtonian fluid flow is increasing day by day owing to the development of science,technology and production modes.It is most common to use power rate equation... <正>The research of different kinds of permeable non-Newtonian fluid flow is increasing day by day owing to the development of science,technology and production modes.It is most common to use power rate equation to describe such flows.However,this equation is nonlinear and very difficult to derive explicit exact analytical solutions.Generally,people can only derive approximate solutions with numerical methods.Recently,an advanced separating variables method which can derive exact analytical solutions easier is developed by Academician CAI Ruixian(the method of separating variables with addition).It is assumed that the unknown variable may be indicated as the sum of one-dimensional functions rather than the product in the common method of separating variables.Such method is used to solve the radial permeable power rate flow unsteady nonlinear equations on account of making the process simple.Four concise(no special functions and infinite series) exact analytical solutions is derived with the new method about this flow to develop the theory of non-Newtonian permeable fluid,which are exponential solution,two-dimensional function with time and radius,logarithmic solution,and double logarithmic solution,respectively.In addition,the method of separating variables with addition is developed and applied instead of the conventional multiplication one.It is proven to be promising and encouraging by the deducing.The solutions yielded will be valuable to the theory of the permeable power rate flow and can be used as standard solutions to check numerical methods and their differencing schemes,grid generation ways,etc.They also can be used to verify the accuracy,convergency and stability of the numerical solutions and to develop the numerical computational approaches. 展开更多
关键词 显式解析解 发电量 径向流 透水 分离变量法 非线性方程组 精确解析解 非牛顿流体
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Unsteady 3D algebraically explicit analytical solutions for bio-heat transfer equations 认领
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作者 LI YuanYuan CAI RuiXian 《中国科学:技术科学英文版》 SCIE EI CAS 2011年第2期362-368,共7页
Reasonable unsteady three-dimensional explicit analytical solutions are derived with different methods for the widely used bio-heat transfer equation–Pennes equation.The condition to decide temperature oscillation is... Reasonable unsteady three-dimensional explicit analytical solutions are derived with different methods for the widely used bio-heat transfer equation–Pennes equation.The condition to decide temperature oscillation is obtained in this paper.In other cases the temperature would vary monotonously along geometric coordinates as time goes by.There have been very few open reports of explicit unsteady multidimensional exact analytical solutions published in literature.Besides its irreplaceable theoretical value,the analytical solution can also serve as standard solution to check numerical calculation,and therefore promote the development of numerical method of computational heat transfer.In addition,some new special methods have been given originally and deserved further attention. 展开更多
关键词 代数显式解析解 生物传热方程 非定常 三维 Pennes方程 数值计算方法 精确解析解 标准溶液
一类变系数组合KdV方程新的精确解析解 认领
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作者 洪宝剑 《理论数学》 2011年第2期163-166,共4页
在齐次平衡法和分离变量的基础上,通过两个推广的Riccati方程,借助Mathematica软件,求出了一类变系数组合KdV方程的一些精确解析解,包括各种类孤立子解、类周期解和变速孤立波解,部分解为首次发现。
关键词 变系数组合KdV方程 精确解析解 RICCATI方程 变速孤立波
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Controllable Optical Solitons in Optical Fiber System with Distributed Coefficients 认领
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作者 张晓斐 和万全 +1 位作者 张培 章鹏 《理论物理通讯:英文版》 SCIE CAS CSCD 2011年第4期 681-684,共4页
我们在场怎么在非线性和分散管理下面在光纤维控制光 solitons 的动力学,和纤维损失或获得。我们获得非线性的 Schr 的准确解决方案的一个家庭 ? dinger 方程,在光纤维描述光脉搏的繁殖,并且由处于不同物理状况分析准确分析答案调查 ... 我们在场怎么在非线性和分散管理下面在光纤维控制光 solitons 的动力学,和纤维损失或获得。我们获得非线性的 Schr 的准确解决方案的一个家庭 ? dinger 方程,在光纤维描述光脉搏的繁殖,并且由处于不同物理状况分析准确分析答案调查 solitons 的动态特征。结果证明在适当条件,不是仅仅组速度下面,分散和非线性,而且损失 / 获得能被用来操作轻脉搏。 展开更多
关键词 色散管理光纤 光孤子 分布式系统 光脉冲传输 精确解析解 可控 动力学特征 群速度色散
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Exact analytical solutions of three-dimensional Gross- Pitaevskii equation with time-space modulation 认领
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作者 胡晓 李彪 《中国物理B:英文版》 SCIE EI CAS CSCD 2011年第5期122-129,共8页
By the generalized sub-equation expansion method and symbolic computation,this paper investigates the(3 + 1)dimensional Gross-Pitaevskii equation with time-and space-dependent potential,time-dependent nonlinearity,and... By the generalized sub-equation expansion method and symbolic computation,this paper investigates the(3 + 1)dimensional Gross-Pitaevskii equation with time-and space-dependent potential,time-dependent nonlinearity,and gain or loss.As a result,rich exact analytical solutions are obtained,which include bright and dark solitons,Jacobi elliptic function solutions and Weierstrass elliptic function solutions.With computer simulation,the main evolution features of some of these solutions are shown by some figures.Nonlinear dynamics of a soliton pulse is also investigated under the different regimes of soliton management. 展开更多
关键词 时间变化 精确解析解 空间调制 方程 WEIERSTRASS 三维 JACOBI椭圆函数 非线性动力学
具有四条裂纹的圆形孔口问题的应力分析 认领 被引量:3
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作者 陈柱 关璐 刘官厅 《数学的实践与认识》 CSCD 北大核心 2011年第22期 103-110,共8页
利用复变函数的方法,通过构造保角映射研究了具有四条裂纹(一对非对称共线裂纹和一对对称共线裂纹)的圆形孔口的平面弹性问题,给出了裂纹尖端应力强度因子的解析解.并由此模拟出了具有三条裂纹、对称四条裂纹、非对称共线双裂纹、... 利用复变函数的方法,通过构造保角映射研究了具有四条裂纹(一对非对称共线裂纹和一对对称共线裂纹)的圆形孔口的平面弹性问题,给出了裂纹尖端应力强度因子的解析解.并由此模拟出了具有三条裂纹、对称四条裂纹、非对称共线双裂纹、对称共线双裂纹的圆形孔口,以及非对称十字裂纹,十字裂纹,T形裂纹问题. 展开更多
关键词 裂纹 圆孔 应力强度因子 复变方法 精确解析解
Exact analytical solutions to the mean-field model depicting microcavity containing semiconductor quantum wells 认领
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作者 宋佩君 吕新友 +1 位作者 刘继兵 郝向英 《中国物理B:英文版》 SCIE EI CAS CSCD 2010年第5期85-91,共7页
By using a two-mode mean-field approximation,we study the dynamics of the microcavities containing semiconductor quantum wells.The exact analytical solutions are obtained in this study.Based on these solutions,we show... By using a two-mode mean-field approximation,we study the dynamics of the microcavities containing semiconductor quantum wells.The exact analytical solutions are obtained in this study.Based on these solutions,we show that the emission from the microcavity manifests periodic oscillation behaviour and the oscillation can be suppressed under a certain condition. 展开更多
关键词 半导体量子阱 精确解析解 平均场近似 微腔 场模型 描绘 周期振荡
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