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    2013年 第34卷 第11期    刊出日期:2013-11-03
    论文
    Debye-Hückel solution for steady electro-osmotic flow of micropolar fluid in cylindrical microcapillary
    A. A. SIDDIQUI A. LAKHTAKIA
    2013, 34(11):  1305-1326.  doi:10.1007/s10483-013-1747-6
    摘要 ( 691 )   PDF (1261KB) ( 596 )  
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    Analytic expressions for speed, flux, microrotation, stress, and couple stress in a micropolar fluid exhibiting a steady, symmetric, and one-dimensional electro-osmotic flow in a uniform cylindrical microcapillary were derived under the constraint of the Debye-Hückel approximation, which is applicable when the cross-sectional radius of the microcapillary exceeds the Debye length, provided that the zeta potential is sufficiently small in magnitude. Since the aciculate particles in a micropolar fluid can rotate without translation, micropolarity affects the fluid speed, fluid flux, and one of the two non-zero components of the stress tensor. The axial speed in a micropolar fluid intensifies when the radius increases. The stress tensor is confined to the region near the wall of the microcapillary, while the couple stress tensor is uniform across the cross-section.
    Non-uniform slot suction/injection into mixed convection boundary layer flow over vertical cone
    R. RAVINDRAN M. GANAPATHIRAO
    2013, 34(11):  1327-1338.  doi:10.1007/s10483-013-1748-7
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    The aim of this work is to study the effect of non-uniform single and double slot suction/injection into a steady mixed convection boundary layer flow over a vertical cone, while the axis of the cone is inline with the flow. The governing boundary layer equations are transformed into a non-dimensional form by a group of non-similar transformations. The resulting coupled non-linear partial differential equations are solved numerically by employing the quasi-linearization technique and an implicit finite-difference scheme. Numerical computations are performed for different values of the dimensionless parameters to display the velocity and temperature profiles graphically. Also, numerical results are presented for the skin friction and heat transfer coefficients. Results indicate that the skin friction and heat transfer coefficients increase with non-uniform slot suction, but the effect of non-uniform slot injection is just opposite.

    Simple lattice Boltzmann approach for turbulent buoyant flow simulation
    陈胜 黄晓宏 杨超 刘钢峰 丁翠娇 韩斌
    2013, 34(11):  1339-1348.  doi:10.1007/s10483-013-1749-x
    摘要 ( 606 )   PDF (311KB) ( 636 )  
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    In the present work, a simple large eddy simulation (LES)-based lattice Boltzmann model (LBM) is developed for thermal turbulence research. This model is validated by some benchmark tests. The numerical results demonstrate the good performance of the present model for turbulent buoyant flow simulation.
    Thermal analysis of annular fins with temperature-dependent thermal properties
    I. G. AKSOY
    2013, 34(11):  1349-1360.  doi:10.1007/s10483-013-1750-8
    摘要 ( 616 )   PDF (358KB) ( 553 )  
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    The thermal analysis of the annular rectangular profile fins with variable thermal properties is investigated by using the homotopy analysis method (HAM). The thermal conductivity and heat transfer coefficient are assumed to vary with a linear and power-law function of temperature, respectively. The effects of the thermal-geometric fin parameter and the thermal conductivity parameter variations on the temperature distribution and fin efficiency are investigated for different heat transfer modes. Results from the HAM are compared with numerical results of the finite difference method (FDM). It can be seen that the variation of dimensionless parameters has a significant effect on the temperature distribution and fin efficiency.
    Variational analysis of thermomechanically coupled steady-state rolling problem
    T. A. ANGELOV
    2013, 34(11):  1361-1372.  doi:10.1007/s10483-013-1751-6
    摘要 ( 618 )   PDF (182KB) ( 457 )  
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    A steady-state, rigid-plastic rolling problem for temperature and strain-rate dependent materials with nonlocal friction is considered. A variational formulation is derived, coupling a nonlinear variational inequality for the velocity and a nonlinear variational equation for the temperature. The existence and uniqueness results are obtained by a proposed fixed point method.
    New method to solve electromagnetic parabolic equation
    赵小峰 黄思训 康林春
    2013, 34(11):  1373-1382.  doi:10.1007/s10483-013-1752-6
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    This paper puts forward a new method to solve the electromagnetic parabolic equation (EMPE) by taking the vertically-layered inhomogeneous characteristics of the atmospheric refractive index into account. First, the Fourier transform and the convolution theorem are employed, and the second-order partial differential equation, i.e., the EMPE, in the height space is transformed into first-order constant coefficient differential equations in the frequency space. Then, by use of the lower triangular characteristics of the coefficient matrix, the numerical solutions are designed. Through constructing analytical solutions to the EMPE, the feasibility of the new method is validated. Finally, the numerical solutions to the new method are compared with those of the commonly used split-step Fourier algorithm.
    High order multiplication perturbation method for singular perturbation problems
    张文志 黄培彦
    2013, 34(11):  1383-1392.  doi:10.1007/s10483-013-1753-x
    摘要 ( 826 )   PDF (147KB) ( 571 )  
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    This paper presents a high order multiplication perturbation method for singularly perturbed two-point boundary value problems with the boundary layer at one end. By the theory of singular perturbations, the singularly perturbed two-point boundary value problems are first transformed into the singularly perturbed initial value problems. With the variable coefficient dimensional expanding, the non-homogeneous ordinary differential equations (ODEs) are transformed into the homogeneous ODEs, which are then solved by the high order multiplication perturbation method. Some linear and nonlinear numerical examples show that the proposed method has high precision.
    Partition method for impact dynamics of flexible multibody systems based on contact constraint
    段玥晨 章定国 洪嘉振
    2013, 34(11):  1393-1404.  doi:10.1007/s10483-013-1754-7
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    The impact dynamics of a flexible multibody system is investigated. By using a partition method, the system is divided into two parts, the local impact region and the region away from the impact. The two parts are connected by specific boundary conditions, and the system after partition is equivalent to the original system. According to the rigid-flexible coupling dynamic theory of multibody system, system’s rigid-flexible coupling dynamic equations without impact are derived. A local impulse method for establishing the initial impact conditions is proposed. It satisfies the compatibility conditions for contact constraints and the actual physical situation of the impact process of flexible bodies. Based on the contact constraint method, system’s impact dynamic equations are derived in a differential-algebraic form. The contact/separation criterion and the algorithm are given. An impact dynamic simulation is given. The results show that system’s dynamic behaviors including the energy, the deformations, the displacements, and the impact force during the impact process change dramatically. The impact makes great effects on the global dynamics of the system during and after impact.
    Principal parametric resonance of axially accelerating rectangular thin plate in magnetic field
    胡宇达 张金志
    2013, 34(11):  1405-1420.  doi:10.1007/s10483-013-1755-8
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    Nonlinear parametric vibration and stability is investigated for an axially accelerating rectangular thin plate subjected to parametric excitations resulting from the axial time-varying tension and axial time-varying speed in the magnetic field. Considering geometric nonlinearity, based on the expressions of total kinetic energy, potential energy, and electromagnetic force, the nonlinear magneto-elastic vibration equations of axially moving rectangular thin plate are derived by using the Hamilton principle. Based on displacement mode hypothesis, by using the Galerkin method, the nonlinear parametric oscillation equation of the axially moving rectangular thin plate with four simply supported edges in the transverse magnetic field is obtained. The nonlinear principal parametric resonance amplitude-frequency equation is further derived by means of the multiple-scale method. The stability of the steady-state solution is also discussed, and the critical condition of stability is determined. As numerical examples for an axially moving rectangular thin plate, the influences of the detuning parameter, axial speed, axial tension, and magnetic induction intensity on the principal parametric resonance behavior are investigated.

    Fluid-solid coupling model for studying wellbore instability in drilling of gas hydrate bearing sediments
    程远方 李令东 S. MAHMOOD 崔青
    2013, 34(11):  1421-1432.  doi:10.1007/s10483-013-1756-7
    摘要 ( 616 )   PDF (487KB) ( 447 )  
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    As the oil or gas exploration and development activities in deep and ultradeep waters become more and more, encountering gas hydrate bearing sediments (HBS) is almost inevitable. The variation in temperature and pressure can destabilize gas hydrate in nearby formation around the borehole, which may reduce the strength of the formation and result in wellbore instability. A non-isothermal, transient, two-phase, and fluid-solid coupling mathematical model is proposed to simulate the complex stability performance of a wellbore drilled in HBS. In the model, the phase transition of hydrate dissociation, the heat exchange between drilling fluid and formation, the change of mechanical and petrophysical properties, the gas-water two-phase seepage, and its interaction with rock deformation are considered. A finite element simulator is developed, and the impact of drilling mud on wellbore instability in HBS is simulated. Results indicate that the reduction in pressure and the increase in temperature of the drilling fluid can accelerate hydrate decomposition and lead to mechanical properties getting worse tremendously. The cohesion decreases by 25% when the hydrate totally dissociates in HBS. This easily causes the wellbore instability accordingly. In the first two hours after the formation is drilled, the regions of hydrate dissociation and wellbore instability extend quickly. Then, with the soaking time of drilling fluid increasing, the regions enlarge little. Choosing the low temperature drilling fluid and increasing the drilling mud pressure appropriately can benefit the wellbore stability of HBS. The established model turns out to be an efficient tool in numerical studies of the hydrate dissociation behavior and wellbore stability of HBS.

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