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11.
Professor A. Siginer 《Rheologica Acta》1991,30(5):447-473
Superposition of oscillatory shear imposed from the boundary and through pressure gradient oscillations and simple shear is investigated. The integral fluid with fading memory shows flow enhancement effects due to the nonlinear structure. Closed-form expressions for the change in the mass transport rate are given at the lowest significant order in the perturbation algorithm. The elasticity of the liquid plays as important a role in determining the enhancement as does the shear dependent viscosity. Coupling of shear thinning and elasticity may produce sharp increases in the flow rate. The interaction of oscillatory shear components may generate a steady flow, either longitudinal or orthogonal, resulting in increases in flow rates akin to resonance, and due to frequency cancellation, even in the absence of a mean gradient. An algorithm to determine the constitutive functions of the integral fluid of order three is outlined.Nomenclature
A
n
Rivlin-Ericksen tensor of order .
-
A
k
Non-oscillatory component of the first order linear viscoelastic oscillatory velocity field induced by the kth wave in the pressure gradient
-
d
Half the gap between the plates
-
e
x, e
z
Unit vectors in the longitudinal and orthogonal directions, respectively
-
G(s)
Relaxation modulus
-
G
History of the deformation
-
Stress response functional
-
I()
Enhancement defined as the ratio of the frequency dependent part of the discharge to the frequencyindependent part of it at the third order
-
I
*()
Enhancement defined as the ratio of the increase in discharge due to oscillations to the total discharge without the oscillations
-
k
Power index in the relaxation modulus G(s)
-
k
i
–1
Relaxation times in the Maxwell representation of the quadratic shear relaxation modulus (s
1, s
2)
-
m
i
–1, n
i
–1
Relaxation times in the Maxwell representations of the constitutive functions 1(s
1,s
2,s
3) and 4 (s
1, s
2,s
3), respectively
-
P
Constant longitudinal pressure gradient
-
p
Pressure field
-
mx
,(3)
nz
,(3)
Mean volume transport rates at the third order in the longitudinal and orthogonal directions, respectively
- 0,(3), 1,(3)
Frequency independent and dependent volume transport rates, respectively, at the third order
-
s = t-
Difference between present and past times t and 相似文献
12.
13.
正交各向异性位势问题边界元法中几乎奇异积分的解析算法 总被引:3,自引:0,他引:3
几乎奇异积分的计算困难阻碍了边界元法的工程应用。本文针对二维正交各向异性位势问题边界元法中近边界点的几乎奇异积分,采用分部积分法,导出一种直接的解析计算公式。该解析公式可以精确计算线性单元上的几乎奇异积分。对二次单元,可将其细分为几个线性元,采用该解析公式近似计算其边界积分。当内点离当前积分单元较远时,仍保持常规高斯数值积分模式;而当内点离其较近时,因常规高斯积分结果失效,则采用该解析积分取代高斯数值积分。数值算例证明了该算法的有效性和精确性。二次元计算结果比线性元计算结果更精确。 相似文献
14.
对于集值映射多目标半定规划问题, 在近似锥-次类凸的框架下, 建立了含矩阵和向量的择一性定理, 给出了问题的epsilon-弱有效解的epsilon-Lagrange乘子定理及标量化定理和epsilon-弱鞍点定理. 相似文献
15.
Juping Tang 《代数通讯》2017,45(7):3017-3021
A subgroup A of a finite group G is called {1≤G}-embedded in G if for each two subgroups K≤H of G, where K is a maximal subgroup of H, A either covers the pair (K,H) or avoids it. Moreover, a subgroup H of G is called nearly m-embedded in G if G has a subgroup T and a {1≤G}-embedded subgroup C such that G?=?HT and H∩T≤C≤H. In this paper, we mainly prove that G is solvable if and only if its Sylow 3-subgroups, Sylow 5-subgroups and Sylow 7-subgroups are nearly m-embedded in G. 相似文献
16.
三维非规则非均匀边界元网格的简便的高精度算法 总被引:1,自引:0,他引:1
对三维直接边界元中一阶奇异积分、一阶近奇异积分以及非奇异积分进行统一处理,给出了一种提高积分计算精度的简便有效的方法,对非规则非均匀边界元网格可获得比一般方法高得多的计算精度,非常适合边界形状比较复杂的三维实际问题的边界元分析. 相似文献
17.
18.
证明6维严格近凯勒流形中的二阶平行拉格朗日子流形一定是全测地的,这推广了L.Vrancken等人文中的一个重要结果.特别地,得到了齐性近凯勒S3×S3中该类拉格朗日子流形的完全分类. 相似文献
19.
Based on a seperated model for saddle-point problems, we develop a new sta-bilized mixed finite element method. Such a model consists of two subproblems with respect to the primal and the dual variables, respectively. We show that the new method is coercive and that optimal error bounds hold. As an application,the nearly incompressible elastic problem is analyzed with our method. 相似文献
20.