广义Maxwell黏弹性流体在两平板间的非定常流动

将分数阶微积分运算引入Maxwell黏弹性流体的本构方程，研究了黏弹性流体在两平板问的非定常流动．对于广义Maxwell黏弹性流体的分数阶导数模型，导出了对时间具有分数阶导数的特殊运动方程，利用分数阶微积分的Laplace变换理论，得到了流动的解析解．     

上随体流体驻点附近滑移流动的同伦解析解

从理论上研究了上随体Maxwell流体在滑移流区的动量传输问题.通过一系列相似变换把控制方程组转化为常微分方程组,利用同伦分析法首次求得了问题的近似解析解. 获得的同伦解析解与文献中的数值解吻合较好. 利用同伦解分析讨论了滑移参数、磁场强度、速度比例参数、吸入喷住参数和流体黏弹性参数对流动的影响.      

粘弹性流体在旋转圆盘上的流动

利用线性Maxwell模型,研究了粘弹性流体在旋转圆盘上的流动．并应用摄动法：求得涂层厚度的近似解析解．发现增加涂料的弹性,有助于甩涂．     

垂直发射条件下水下航行体头型对通气空泡流动及压力特性的影响分析

为了揭示垂直发射条件下水下航行体头型对通气空泡演化过程的力学影响机理,首先基于有限体积法,结合改进型延迟分离涡模型、流体体积多相流模型及重叠网格技术建立了垂直发射条件下通气空泡的数值计算模型.其次,将计算结果与垂直发射实验进行对比,验证了所提出的数值方法对通气云空泡的预测具有较高精度,说明了该方法在通气空泡复杂非定常计算中的适用性.最后,对比研究了相同工况下流线头型和钝头头型航行体通气空泡流动特性和压力特性的差异,从涡量动力学的角度分析了差异产生的原因,结果表明:相比于流线头型航行体,钝头航行体通气空泡气液交界面处速度梯度较小,受到重力和浮力的影响更大,在瑞利-泰勒不稳定性机制的作用下,通气空泡更早发生非线性失稳,空泡失稳区域呈现更为剧烈的浮动行为以及空泡脱落等非定常流动特性;较强的空泡非定常流动特性影响了钝头航行体通气空泡末端的流动分离,从而抑制了空泡末端滞止高压的高幅值特性.     

在波形斜坡上的自由粘性流动的算法

利用非定常变换将流体流动的复杂区域变到一个固定的矩形计算区域，然后用高效的数值方法对此强非线性问题进行积分．由于变换本身是随自由面变化而变化，刻画这一变换的参数将作为未知量与其它待求流动参数在积分过程中同时求得．本方法对流动问题不作任何限制，可以计算非常复杂的自由粘性流动问题．     

Maxwell流体管内起动流的研究

对Maxwell流体流体管内起动流的振荡特性进行研究，得到了描述振荡特性的解析解。研究了黏弹性参数对各时刻速度剖面的影响，获得了轴心速度，平均速度和壁面摩擦力随时间的变化规律以及它们的频率特征。结果表明振荡的基频成分决定了流动的主要特性，给出了并分析了基频频率与振幅和黏弹性参数之间的关系。     

多段翼型缝翼流动速度的定常和非定常特性研究

用热线风速仪研究多段翼型前缘缝翼在不同条件下流动速度的定常性和非定常性。结合多段翼型定常流动Navier-Stokes方程数值模拟的结果,分析了迎角、后缘襟翼参数(偏角、缝道宽度、搭接量)对缝翼定常和非定常流动速度的影响规律。研究结果表明:在缝翼后缘处,流动分为缝道加速流动区、缝翼尾流区、缝翼上表面以上的主流区;缝翼尾流区流动速度非定常性主要表现在中低频率范围(2k Hz以下),而缝道加速流动区和缝翼上表面以上的主流区流动非定常性常表现出高频特性(2k Hz以上);在失速前随迎角增加,或者当襟翼偏角从20°向30°增加时,缝道流动加速,槽区涡减小;缝翼槽区涡形成和振荡是中低频率范围流动非定常性的机理,而缝翼鼻尖脱落涡是缝翼槽区涡振荡的激励因素。     

非定常微分型黏弹性本构模型

在应力作用下, 材料的力学参数随着微观结构的变化而变化, 需要考虑参数的时间效应. 利用黏滞系数随时间变化的黏性元件, 构造出非定常Maxwell模型、非定常Kelvin模型和非定常Zener模型. 求解非定常模型的微分型本构方程得到它们的松弛模量、蠕变柔量和卸载方程. 结果表明, 可以把常见的经验松弛函数和经验蠕变函数视为非定常微分型本构模型.      

积分型Maxwell流体挤出胀大的数值模拟

应用Luo提出的基于常规有限单元的应力计算方法和范毓润回避奇点的方法,模拟了积分型Maxwell黏弹流体的挤出胀大流动,计算得到了Weissenberg数达1．0下的合理结果。     

UNSTEADY SEPARATION OF FLOW AROUND AIRFOIL WITH LOCAL ELASTIC STRUCTURE

对在低雷诺数下局部弹性翼型绕流中,局部弹性导致的自激振动所产生的复杂非定常流动分离现象和描述方法进行了分析．采用ALE—CBS方法数值模拟了具有可动边界的绕流流场问题,同时采用Galerkin方法求解局部弹性结构的控制方程．着重研究了翼型的局部弹性对流动分离和翼型性能的影响,并分别从Eulerian和Lagrangian的角度分析了局部弹性结构导致的不同非定常分离现象,其中Lagrangian角度可以方便地揭示出局部弹性翼型大幅度提高升力的机理和流动中的能量迁移．结果表明翼型的局部弹性对非定常分离和分离泡的演化过程有着明显的影响,可以使得流体质点由主流获取动量实现再附,并且在一定的攻角下可以将固定分离转变为移动分离,从而明显地提高了翼型的升力．     

A study on non-steady flow of upper-convected maxwell fluid in tube

The transient response of an upper-convected Maxwell fluid flow in a circular tube is analysed by variational approach of Kantorovich and the method of finite difference. The solution of the variational method is in agreement with the numerical results by the difference schemes. The results show that the method of Kantorovich is suitable for the study of non-steady flow of non-Newtonian fluids and the effect of elasticity of the fluid has an influence on the non-steady flow. project supported by National Natural Science Foundation of China     

An investigation on internal thermal flow of non-Newtonian fluid

In the present paper an unsteady thermal flow of non-Newtonian fluid is investigated which is of the fiow into axisymmetric mould cavity. In the second part an unsteady thermal flow of upper-convected Maxwell fluid is studied, For the flow into mould cavity the constitutive equation of power-law fluid is used as a rheological model of polymer fluid. The apparent viscosity is considered as a function of shear rate and temperature. A characteristic viscosity is introduced in order to avoid the nonlinearity due to the temperature dependence of the apparent viscosity. As the viscosity of the fluid is relatively high the flow of the thermal fluid can be considered as a flow of fully developed velocity field. However, the temperature field of the fluid fiow is considered as an unsteady one. The governing equations are constitutive equation, momentum equation of steady flow and energy conservation equation of non-steady form. The present system of equations has been solved numerically by the splitting differen     

A VARIATIONAL ANALYTICAL APPROACH TO TIME DEPENDENT FLOW OF OLDROYD B FLUID IN CIRCULAR TUBE

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The steady isothermal spinning of viscoelastic fluids

The flow problem given in the title has been considered for a modified Maxwell fluid. The resulting spin line equation is solved both numerically and analytically. It has been found that the results obtained by the above two methods are in agreement. This confirms the accuracy of the perturbation method which we adopted.     

A variational analytical approach to time dependent flow of oldroyd B fluid in circular tube

In the present investigation the time dependent flow of an Oldroyd fluid B in a horizontal cylindrical pipe is stuided by the variational analytical approach developed by author. The time dependent problem is mathematically reduced to a partial differential equation of third order. Using the improved variational approach due to Kantorovich the partial differential equation can be reduced to a system of ordinary differential equations for different approximations. The ordinary differential equations are solved by the method of the Laplace transform which is led to an analytical form of the solutions. Project supported by TWAS and Chinese Academy of Sciences and the National Science Foundation of China     

Computational intellectual analytical theory of computational analytical approach to rotating flow of non-Newtonian fluid

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Viscoelastic flow between eccentric rotating cylinders: unstructured control volume method

This paper reports a convergent numerical algorithm for the Upper-Convected Maxwell (UCM) fluid between two eccentric cylinders at various eccentricity ratios (?); the outer cylinder is stationary, and the inner one rotating. The problem is solved by an unstructured control volume method (UCV), which is designed for a general viscoelastic flow problem with an arbitrary computational domain. A self-consistent false diffusion technique and an iteration scheme are used in combination to solve the problem. The computations of the UCM fluid using the numerical algorithm are carried out to a higher value of the Deborah number (De) at each eccentricity tested than hitherto possible with previous numerical simulations. The solutions are compared with previous numerical results, confirming the effectiveness of the UCV method as a general technique for solving viscoelastic flow problems.     

MHD flow and heat transfer of a UCM fluid over a stretching surface with variable thermophysical properties

In this paper we investigate the effects of temperature-dependent viscosity, thermal conductivity and internal heat generation/absorption on the MHD flow and heat transfer of a non-Newtonian UCM fluid over a stretching sheet. The governing partial differential equations are first transformed into coupled non-linear ordinary differential equation using a similarity transformation. The resulting intricate coupled non-linear boundary value problem is solved numerically by a second order finite difference scheme known as Keller-Box method for various values of the pertinent parameters. Numerical computations are performed for two different cases namely, zero and non-zero values of the fluid viscosity parameter. That is, 1/?? _r ??0 and 1/?? _r ??0 to get the effects of the magnetic field and the Maxwell parameter on the velocity and temperature fields, for several physical situations. Comparisons with previously published works are presented as special cases. Numerical results for the skin-friction co-efficient and the Nusselt number with changes in the Maxwell parameter and the fluid viscosity parameter are tabulated for different values of the pertinent parameters. The results obtained for the flow characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid phenomena, especially the UCM fluid phenomena. Maxwell fluid reduces the wall-shear stress.     

Do general viscoelastic stresses for the flow of an upper convected Maxwell fluid satisfy the momentum equation?

Given a general velocity field consistent with the stagnation point flow, can the viscoelastic stresses arising in the flow of an upper convected Maxwell fluid found by solving the constitutive equation also satisfy the momentum equation? Consideration is given to the study of the stress tensor arising in the steady flow of an upper convected Maxwell (UCM) fluid with a velocity field consistent with the stagnation point flow. By the method of characteristics, exact solutions to the partial differential equations arising in the approximating model of the viscoelastic stresses in the flow of an upper convected Maxwell (UCM) fluid are obtained for the three components of the stress tensor, for reasonably general velocity fields. We are able to account for the effects of variable boundary data at the inflow by considering the viscoelastic stresses over two spatial variables. Furthermore, we assume a relatively general velocity field. As a special case, some results present in the recent literature are obtained; it is known that these special case solutions do not satisfy the momentum equation. In the general case we consider, we find that the general solution will not satisfy the momentum equation except in a limited restricted case. We discuss how this shortcoming might be rectified by use of a more general velocity field.