应用数学和力学

2008 Vol. 29, No. 8

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Floquet Instability of a Large Density Ratio Liquid-Gas Coaxial Jet With Periodic Fluctuation

LI Zhen, HU Guo-hui, ZHOU Zhe-wei

2008, 29(8): 883-892.

Abstract(2923) PDF(559)

Abstract:
By the numerical simulation of basic flow,Floquet stability analyis of interfacial flow with periodic fiuctuation into lage density ratio range were extended.The stability of a liquid aluminum jet in a coaxial nitrogen stream with velocity fiuctuation Was investigated by Chebyshev collocation method...

Study on the Inflow Boundary Condition for DNS of Turbulent Boundary Layers on Supersonic Blunt Cones

DONG Ming, ZHOU Heng

2008, 29(8): 893-904.

Abstract(3117) PDF(768)

Abstract:
For the direct numerical simulation (DNS) of turbulent boundary layers,hou to generate an appropriate infow condition is problem that needs to be considered.Amethod was proposed,by which the infow condition for spatial-mode DNS of tolbulet boundary layers on supersonic blunt Cones with different Mac...

Elasticity Solutions for Functionally Graded Plates in Cylindrical Bending

YANG Bo, DING Hao-jiang, CHEN Wei-qiu

2008, 29(8): 905-910.

Abstract(3099) PDF(665)

Abstract:
The plate theory of functionally graded materials suggested by Mian and fencer is extended to analyze the cylindrical bending problem of a functionally graded rectangular plate subject to uniform load.The expansion formula for displacements was adopted.While keeping the assumption that the material ...

Fracture Analysis for Torsion Problems of a Composite Cylinder With Curvilinear Cracks

PAN Tian-wei, WANG Yin-bang

2008, 29(8): 911-917.

Abstract(3601) PDF(692)

Abstract:
The Saint-Venant torsion problems of a composite cylinder with curvilinear crack were investigated.By means of considering the bimaterial interface as a boundary of outer bar or inner one,the problem was reduced to solving the boundary integral equations on crack,external boundary and interface.Usin...

Steering Laws Analysis of SGCMGs Based on Singular Value Decomposition Theory

ZHANG Jing-rui

2008, 29(8): 918-926.

Abstract(3444) PDF(784)

Abstract:
The steering laws of single gunbal control moment gyros (SGCMGs) are analyzed and compared for a spacecraft attitude control system based on the singular value decomposition (SVD) theory.The mechanism of the steering laws escaping singularity,espeaally the steering laws of how to affect the singular...

Changes of Natural Frequency of a Ferromagnetic Rod in Magnetic Field Due to Magnetoelastic Interaction

WANG Xing-zhe

2008, 29(8): 927-935.

Abstract(3481) PDF(617)

Abstract:
Based on magnetoelastic generalized variational principle and Hamilton's principle,a dynamic theoretical model characterizing the magnetoelastic interaction of a soft ferromagnetic medium in an applied magnetic field is developed.Fhom variational manipulation respectively on magnetic scale potential...

Enhancement of Natural Convection Heat Transfer From a Fin by Triangular Perforations of Bases Parallel and Toward Its Tip

Abdullah H. AlEssa, Mohamad I. Al-Widyan

2008, 29(8): 936-946.

Abstract(2702) PDF(587)

Abstract:
Heat transfer enhancement from a horizontal recrtarrgular fin embedded with triangular perforations (their bases are parallel and toward to the fin tip) under natural convection is studied.Its heat dissipation rate was compared to that of the equivalent solid one.The parameters considered were geome...

Study of Stress Field Near Interface Crack Tip of Double Dissimilar Orthotropic Composite Materials

LI Jun-lin, ZHANG Shao-qin, YANG Wei-yang

2008, 29(8): 947-953.

Abstract(3839) PDF(8078)

Abstract:
A study of double dissintilar orthotropic composite materials interfacial crack was made by constivcting new stress functions andemploying the method of composite material complex.In the case that the characteristic equations' discriminants are all more than zero,the theoretical fonmula of the stres...

Magneto-Elastic Combination Resonances Analysis of Current-Conducting Thin Plate

HU Yu-da, LI Jing

2008, 29(8): 954-966.

Abstract(3351) PDF(623)

Abstract:
Based on Maxwell the nonlinear magneto-elastic vibration equations of a thin plate were derived.The electrodynamic equations and of electromagnetic forces were also derived.In addition,the magneto-elastic combination resonances and stabilities of the thin beam-plate subjected to mechanical loadings ...

Stabilization Meshless Method for Convection Dominated Problems

ZHANG Xiao-hua, OUYANG Jie, WANG Jian-yu

2008, 29(8): 967-975.

Abstract(2939) PDF(779)

Abstract:
It is well luiown that the standard Galerlan is not ideally suited to deal with the spatial discretization of convection-dominated problems.Several techniques were proposed to overcome the instability issues in convection-dominated problems simulated by meshless method.These stable techniques includ...

Two Dimensional Analytical Solution for a Partially Vegetated Compound Channal Flow

HUAN Wen-xin, XU Zhi-gang, YANG Zhong-hua, ZENG Yu-hong

2008, 29(8): 976-982.

Abstract(2875) PDF(731)

Abstract:
The theory of eddy viscosity model is applied to the study of the flow in compound charurel which was partially vegetated.The governing equation was constituted by analyzing the longitudinal forces acted on the unit volume where the effect of the vegetation to the flow is considered as the drag forc...

Nonlinear Coupling Dynamics of Liquid Filled Spherical Container in Microgravity

YUE Bao-zeng

2008, 29(8): 983-990.

Abstract(2598) PDF(570)

Abstract:
Nonlinear coupled dynamics of liquid-filled spherical container in microgravity is investigated.The goveniing equations of the low-gravity liquid sloshing in a convex asymmetrical container subjected to lateral excitation was obtained by variational principle and solved by a modal analysis method.Th...

Magnetic Field and Hall Currents Influences on Blood Flow Through a Stenotic Artery

Kh. S. Mekheimer, M. A. El Kot

2008, 29(8): 991-1002.

Abstract(2902) PDF(647)

Abstract:
A micrnpolar model for blood of mag}etol}ydrodynamic flow through a horizontally nonsymmetric arterial but vertically symmetric artery with a mild stenosis is presented.To estimate the effect of the stenosis shape,a suitable geometry was considered such that the horizontal shape of the stenosis can ...

Singular Perturbation for the Weakly Nonlinear Reaction Diffusion Equation With Boundary Perturbation

MO Jia-qi

2008, 29(8): 1003-1008.

Abstract(2994) PDF(828)

Abstract:
A class of nonlinear singularly perturbed initial boundary value problems for reaction diffusion equations with boundaryperturbation is considered under suitable conditions.Firstly,by dint of regular perturbation method,the outer solution of the original problem was obtained.Secondly,by using the st...