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Current trends and future directions in turbulent thermal convection

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Theoretical & applied mechanics Letters 2013年第5期3卷 1-12页

作者： Ke-Qing Xia department of Physics The Chinese University of Hong Kong

The system of turbulent thermal convection is introduced. Progresses in recent decades in the four major areas of research in turbulent convection are briefly reviewed. Some of the recent trends of the field are then discussed, which also serve to point out that the future directions in this important field of fluid mechanics lie in the extension to the non-standard or non-classical Rayleigh-Bénard configuration.

关键词： turbulence thermal convection turbulent heat transport thermal plumes large-scaleflow small-scale turbulence

On the helical pipe flow with a pressure-dependent viscosity

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Theoretical & applied mechanics Letters 2014年第6期4卷 55-62页

作者： Igor Pazanin department of Mathematics Faculty of Science University of Zagreb

We address the flow of incompressible fluid with a pressure-dependent viscosity through a pipe with helical shape. The viscosity-pressure relation is defined by the Barus law. The thickness of the pipe and the helix step are assumed to be of the same order and considered as the small parameter. After transforming the starting problem, we compute the asymptotic solution using curvilinear coordinates and standard perturbation technique. The solution is provided in the explicit form clearly showing the influence of viscosity-pressure dependence and pipe＇s geometry on the effective flow.

关键词： pressure-dependent viscosity Barus law helical pipe flow curvilinear coordinates asymptotic approximation

ON A CLASS OF METHOD FOR SOLVING PROBLEMS WITH RANDOM BOUNDARY NOTCHES AND/OR CRACKS (Ⅱ) COMPUTATIONS FOR BOUNDARY NOTCHES

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applied Mathematics and mechanics(English Edition) 1984年第2期5卷 1137-1141页

作者：欧阳鬯朱涵 department of Mathematics Shanghai Fudan University

This work is a continuation of the discussion of [1], "On a class of method for solving problems with random boundary notches and/or cracks, (Ⅰ)" by C. Ouyang (Appl. Math. & Mech.,Vol. 1, No. 2, 1980). Here computations for boundary notches are made by using the theory and formulas presented in [1]. In the computation modification is also made for the boundary conditions in parametric plane in [1]. Numerical results for examples show that within ranges of parameter considered in the paper, for example L, the present method in quite workable in practical computations.

关键词： ON A CLASS OF METHOD FOR SOLVING PROBLEMS WITH RANDOM BOUNDARY NOTCHES AND/OR CRACKS COMPUTATIONS FOR BOUNDARY NOTCHES OO

SPIN AND ROTATION VELOCITY OF THE STRETCHING FRAME IN CONTINUUM

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applied Mathematics and mechanics(English Edition) 1988年第12期9卷 1109-1112页

作者：郭仲衡 department of Mathematics Peking University Beijing

The present paper investigates the conceptual root of the current incorrect mechanical interpretation of the spin in continuumandgives the correct one.

关键词： SPIN AND ROTATION VELOCITY OF THE STRETCHING FRAME IN CONTINUUM In

ITERATIVE ALGORITHMS FOR FINDING APPROXIMATE SOLUTIONS OF COMPLETELY GENERALIZED STRONGLY NONLINEAR QUASIVARIATIONAL INEQUALITIES

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applied Mathematics and mechanics(English Edition) 1994年第11期15卷 1069-1080页

作者：曾六川 department of Mathematics Shanghai Normal University Shanghai

In this paper, we study, iterative *** finding approximate solutions ofcompletely generalized strongly nonlinear quasivariational inequalities which include,as a special case, some known results in this .field. Our r... 详细信息

关键词： quasivariational inequality iterative scheme convergence ofalgorithm

VARIABLE STRUCTURE CONTROL OF INDEFINITE-DIMENSIONAL SYSTEMS

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applied Mathematics and mechanics(English Edition) 1995年第3期16卷 283-291页

作者：李文林边文明 department of Methematics Henan Normal University Xinxiang

In lhis paper, we study the variable structure control of indefinite-dimensionalcontrol systems with the functional analysis method. The reaching conditions, stabilityconditions and the approximating conditions of sliding mode, as well as the generalform of the variable structure control law are given. and the elementary frame of thevariable structure control of indefinite-dimensional systems is built.

关键词： variable structure control. sliding mode indefinite-dimensionalcontrol systems. semi-inner product

BOUNDARY AND ANGULAR LAYER BEHAVIOR IN SINGULAR PERTURBED QUASILINEAR SYSTEMS

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applied Mathematics and mechanics(English Edition) 1986年第5期7卷 433-441页

作者：林宗池 department of Mathematics Fuzhou Fujian Normal University

In this paper,using the method of differential inequalities,we study the existence ofsolutions and their asymptotic behavior,as ε→0~+,of Dirichlt problem for second orderquasilinear *** on whether the reduced solution u(t)has or does not havea continuous first-derivative in(a,b),we study two types of asymptotic behaviour,thusleading to the phenomena of boundary and angular layers.

关键词： BOUNDARY AND ANGULAR LAYER BEHAVIOR IN SINGULAR PERTURBED QUASILINEAR SYSTEMS

EXTENDED VARIATIONAL PRINCIPLE IN NONLINEAR THEORY OF ELASTICITY

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applied Mathematics and mechanics(English Edition) 1984年第2期5卷 1185-1196页

作者：郑泉水 Jiangxi Institute of Technology department of Civil Engineering

From the extended energy functional, a unified variational principle and an extended variational principle are given and proved in this paper. It is about the non-conservative, abrupt and divided domains static (or kinetic) system and by using the undetermined energy functional, we can immediately deduce various variational principles.

关键词： EXTENDED VARIATIONAL PRINCIPLE IN NONLINEAR THEORY OF ELASTICITY IT

AGAIN DISCUSSING ABOUT SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLEM FOR HIGHER ORDER ELLIPTIC EQUATION CONTAINING TWO-PARAMETER

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applied Mathematics and mechanics(English Edition) 1984年第3期9卷 1333-1344页

作者：林宗池 department of Mathematics Fujian Normal University Fuzhou

In this paper using the method of "The Two-Variable Expansion Procedure" [11] we again discuss the construction of asymptotic expression of solution of general boundary value problem for higher order ellitptic equation containing two-parameter whose boundary condition is more general than [1], We give asymptotic expression of solution as well as the estimation corresponding to the remainder term.

关键词： Boundary Condition Mathematical Modeling Industrial Mathematic Elliptic Equation Singular Perturbation