应用数学和力学

2001 Vol. 22, No. 4

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Moving Boundary Problem for Diffusion Release of Drug From a Cylinder Polymeric Matrix

TAN Wen-chang, WU Wang-yi, YAN Zong-yi, WEN Gong-bi

2001, 22(4): 331-336.

Abstract(2528) PDF(572)

Abstract:
An approximate analytical solution of moving boundary problem for diffusion release of drug from a cylinder polymeric matrix was obtained by use of refined integral method.The release kinetics has been analyzed for non-erodible matrices with perfect sink condition.The formulas of the moving boundary...

3D Fracture Propagation Simulation and Production Prediction in Coalbed

GUO Da-li, Ji Lu-jun, ZHAO Jin-zhou, LIU Ci-qun

2001, 22(4): 337-344.

Abstract(2479) PDF(709)

Abstract:
In accordance with the fracturing and producing mechanism in coalbed methane well,and combining the knowledge of fluid mechanics,linear elastic fracture mechanics,thermal transfer, computing mathematics and software engineering,the three-dimensional hydraulic fracture propagating and dynamical produ...

Asymptotic Solutions of Boundary Value Problems for Third Order Ordinary Differential Equations With Turning Points

JIANG Fu-ru, JIN Qi-nian

2001, 22(4): 345-353.

Abstract(2599) PDF(742)

Abstract:
Boundary value problems for third order ordinary differential equations with turning points are studied as follows: , where f(x;0) has several multiple zero points in(-a,b).The necessary conditions for exhibiting resonance is given,and the uniformly valid asymptotic solutions and the estimations of ...

The Analytical Solution for Sediment Reaction and Diffusion Equation With Generalized Initial-Boundary Conditions

XIONG Yue-shan, Onyx Wai Wing hong

2001, 22(4): 354-358.

Abstract(2408) PDF(499)

Abstract:
The sediment reaction and diffusion equation with generalized initial and boundary condition is studied.By using Laplace transform and Jordan lemma,an analytical solution is got,which is an extension of analytical solution provided by Cheng Kwokming James(only diffusion was considered in analytical ...

Computer Simulation of Non-Newtonian Flow and Mass Transport Through Coronary Arterial Stenosis

LI Xin-yu, WEN Gong-bi, LI Ding

2001, 22(4): 359-372.

Abstract(2417) PDF(715)

Abstract:
A numerical analysis of Newtonian and non-Newtonian flow in an axi-symmetric tube with a local constriction simulating a stenosed artery under steady and pulsatile flow conditions was carried out.Based on these results,the concentration fields of LDL(low-density lipoprotein)and Albumin were discusse...

Dynamics in Newtonian-Riemannian Space-Time (Ⅱ)

ZHANG Rong-ye

2001, 22(4): 373-381.

Abstract(2413) PDF(660)

Abstract:
The relativity of motion and covariance of equation of motion in Newtonian-Riemannian space-time,some relationship between Newton.s mechanics in N-R space-time and the general relativity,their difference and identity are discussed.

Dynamics in Newtonian-Riemannian Space-Time(Ⅲ)

ZHANG Rong-ye

2001, 22(4): 382-392.

Abstract(2211) PDF(701)

Abstract:
The Hamiltonian mechanics in Newt onian-Riemannian space-time and its application to hydromechanics are discussed.

Dynamics in Newtonian-Riemannian Space-Time(Ⅳ)

ZHANG Rong-ye

2001, 22(4): 393-403.

Abstract(2180) PDF(586)

Abstract:
Lagrangian mechanics in Newtonian-Riemannian space-time and relationship between Lagrangian mechanics and Newtonian mechanics,and between Lagrangian mechanics and Hamiltonian mechanics in N-R space-time are discussed.

Study on the Fuel Air Mixing Induced by a Shock Wave Propagating Into a H₂-Air Interface

XU Sheng-li, YUE Peng-tao, HAN Zhao-yuan

2001, 22(4): 404-410.

Abstract(2526) PDF(643)

Abstract:
2nd order upwind TVD scheme was used to solve the laminar,fully Navier-Stokes equations.The numerical simulations were done on the propagation of a shock wave with Ma_S=2 and 4 into a hydrogen and air mixture in a duct and a duct with a rearward step.The results indicate that a swirling vortex may be...

Numerical Studies on the Mixing of CH₄ and Kerosene Injected Into a Supersonic Flow With H₂ Pilot Injection

XU Sheng-li, YUE Peng-tao, HAN Zhao-yuan

2001, 22(4): 411-419.

Abstract(2325) PDF(606)

Abstract:
Two-fluid model and divisional computation techniques were used.The multi-species gas fully N-S equations were solved by upwind TVD scheme.Liquid phase equations were solved by NND scheme.The phases-interaction ODE equations were solved by 2nd Runge-Kutta approach.The favorable agreement is obtained...

On the Problem of Dissipative Perturbations of Nonexpansive Mappings

LUO Yuan-song

2001, 22(4): 420-424.

Abstract(2514) PDF(674)

Abstract:
Some fixed point theorems for mappings of the type-A+T are established,where P is a cone in a Hilbert space,A:P→2^P is an accretive mappings and T:P→P is a nonexpansive mappings.In application,the results presented in the paper are used to study the existence problem of solutions for a class of nonli...

Studies on Stress Transference Mechanism of Steel Fibre Reinforced Concrete

YANG You-fa, XU Shao-qian, ZHONG Zheng-hua

2001, 22(4): 425-434.

Abstract(2345) PDF(605)

Abstract:
The stress transfer mechanism of steel fibre reinforced concrete is studied.The solutions for the stress and displacement were regarded as the superposition of "the elementary solutions" and "the improved solutions".The elementary solutions were found by using two dimensional elastic theory and the ...

Positive Solutions of Boundary Value Problems for Second Order Singular Nonlinear Differential Equations

LI Ren-gui, LIU Li-shan

2001, 22(4): 435-440.

Abstract(2494) PDF(833)

Abstract:
New existence results are presented for the singular second order nonlinear boundary value problems u″+g(t)f(u)=0,0<t<1,αu(0)-βu′(0)=0,γu(1)+δu′(1)=0 under the conditions 0≤f₀⁺<M₁,m₁<f_∞^-≤∞ or 0≤f_∞⁺<M₁,m₁<f₀^-≤∞,where f₀⁺=₀f(u)/u,f_∞^-=_∞f(u)/u,f₀^-=₀f(u)/u,f_∞⁺=_∞f(u)/u,g may be singular ...