应用数学和力学

1998 Vol. 19, No. 8

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On the Mechanism of Turbulent Coherent Structure (Ⅲ)——A Statistical and Dynamical Model of Coherent Structure and Its Heat Transfer Mechanism

Lu Zhiming, Liu Yulu

1998, 19(8): 659-665.

Abstract(2762) PDF(983)

Abstract:
Following Tsai&Ma^[1] and Tsai & Liu^[2],a statistical and dynamical near-wall turbulent coherent structural model with separate consideration of two different portions:locally generated and up-stream transported large eddies has been established.With this model,heat transfer in a fully develo...

Backlund Transformation and Exact Solutions for Whitham-Broer-Kaup Equations in Shallow Water

Fan Engui, Zhang Hongqing

1998, 19(8): 667-670.

Abstract(2819) PDF(830)

Abstract:
By using a new method and Mathematica,the Backlund transformations for Whitham-Broer-Kaup equations(WBK)are derived.The connections between WBK equation,heat equation and Burgers equation are found,which are used to obtain three families of solutions for WBK equations, one of which is the family of ...

Numerical Research on the Coherent Structure in the Viscoelastic Second-Order Mixing Layers

Yu Zhaosheng, Lin Jianzhong

1998, 19(8): 671-677.

Abstract(2604) PDF(469)

Abstract:
Numerical simulations have been performed in time-developing plane mixing layers of the viscoelastic second-order fluids with pseudo-spectral method.Roll-up,pairing and merging of large eddies were examined at high Reynolds numbers and low Deborah numbers.The effect of viscoelastics on the evolution...

An Implicit Solution of Bi-Penalty Approximation with Orthogonality Projection for the Numerical Simulation of Bingham Fluid Flow

Sha Desong, Guo Xinglin, Gu Yuanxian

1998, 19(8): 678-688.

Abstract(2397) PDF(492)

Abstract:
An implicit algorithm of Bi-penalty approximation with orthogonality projection for the numerical simulation of Bingham fluid flow problems is proposed in this paper.A Newton fluid flow with two kinds of artificial viscosit y subjected to the inequality constraint is introduced to approximate the Bi...

Study on the Generalized Prandtl-Reuss Constitutive Equation and the Corotational Rates of Stress Tensor

Shen Lijun, Pan Lizhou, He Fubao

1998, 19(8): 689-696.

Abstract(3254) PDF(856)

Abstract:
In this paper,the generalized Prandtl-Reuss(P-R)constitutive equations of elastic-plastic material in the presence of finite deformations through a new approach are studied.I t analyzes the generalized P-R equation based on t he material corotational rate and clarifies the puzzling problem of the si...

Applications of Wavelet Galerkin FEM to Bending of Beam and Plate Structures

Zhou Youhe, Wang Jizeng, Zheng Xiaojing

1998, 19(8): 697-706.

Abstract(2758) PDF(682)

Abstract:
In this paper,an approach is proposed for taking calculations of high order differentials of scalng functions in wavelet theory in order to apply the wavelet Galerkin FEM to numerical analysis of hose boundary-value problems with order higher than 2.After that,it is realized that the wavelet alerkin...

Application of Convection-Diffusion Equation to the Analyses of Contamination between Batches in Multi-Products Pipeline Transport

Deng Songsheng, Pu Jianing

1998, 19(8): 707-714.

Abstract(2440) PDF(674)

Abstract:
Contamination between batches in multi-products pipeline transport is st udied.The influences of convection and diffusion on the contamination are sudied in detail.Diffusion equations,which are mainly controlled by convection,are developed under turbulent pipe flow.The diffusion equation is separate...

Convergent Families of Approximate Inertial Manifolds for Nonautonomous Evolution Equations

Wang Zongxing, Fan Xianling, Zhu Zhengyou

1998, 19(8): 715-724.

Abstract(1957) PDF(530)

Abstract:
In this paper,the long time behavior of nonautonomous infinite dimensional dynamical systems is studied.A family of convergent approximate inertial manifolds for a class of evolution equations has been constructed when the spectral gap condition is satisfied.

Conservation of Mass for a Particle Moving with High Velocity

Yang Wenxiong

1998, 19(8): 725-729.

Abstract(2507) PDF(649)

Abstract:
By using the revision of the momentum for a particle moving with high velocity and by investigating the famous Bucherer's experiment of an electron deflecting with high velocity in the electromagnetic fields in 1908,the paper determines that mass of the electron with high velocity is still to observ...

MILU-CG Method and the Numerical Study on the Flow around a Rotating Circular Cylinder

Ling Guoping, Ling Guocan

1998, 19(8): 731-739.

Abstract(2860) PDF(526)

Abstract:
A hybrid finite difference method and vortex method(HDV),which is based on domain decomposition and proposed by the authors(1992),is improved by using a modified incomplete LU decomposition conjugate gradient method(MIL U-CG),and a high order implicit difference algorithm.The flow around a rotating ...

An Analytical Solution of Rectangular Laminated Plates by Higher-Order Theory

Fan Yeli, Lin Fangyong

1998, 19(8): 741-752.

Abstract(2935) PDF(635)

Abstract:
On the basis of the Reddy.s higher-order theory of composites,this paper introduces a displacement function 5 into it and transforms its three differential equations for symmetric cross-ply composites into only one eight-order differential equation generated by the displacement-function.When a prope...