Experimental investigation of a thermoacoustic-Stirling refrigerator driven by a thermoacoustic-Stirling heat engine

In this paper, a thermally-driven thermoacoustic refrigerator system without any moving part is reported. This refrigeration system consists of a thermoacoustic-Stirling heat engine and a thermoacoustic-Stirling refrigerator; that is, the former is the driving source for the latter. Both the subsystems are designed to operate on traveling-wave mode. In the experiment, it was found that the DC-flows had significant negative effect on the heat engine and the refrigerator. To suppress these DC-flows, two flexible membranes were inserted into the two subsystems and worked very well. Then extensive experiments were made to test the influence of different parameters on refrigeration performance of the whole system. The system has so far achieved a no-load temperature of -65 degrees C, a cooling capacity of about 270 W at -20 degrees C and 405 W at 0 degrees C; in fact, the result showed a good prospect of the refrigeration system in room-temperature cooling such as food refrigeration and air-conditioning.     

A thermoacoustic-Stirling heat engine: detailed study

A new type of thermoacoustic engine based on traveling waves and ideally reversible heat transfer is described. Measurements and analysis of its performance are presented. This new engine outperforms previous thermoacoustic engines, which are based on standing waves and intrinsically irreversible heat transfer, by more than 50%. At its most efficient operating point, it delivers 710 W of acoustic power to its resonator with a thermal efficiency of 0.30, corresponding to 41% of the Carnot efficiency. At its most powerful operating point, it delivers 890 W to its resonator with a thermal efficiency of 0.22. The efficiency of this engine can be degraded by two types of acoustic streaming. These are suppressed by appropriate tapering of crucial surfaces in the engine and by using additional nonlinearity to induce an opposing time-averaged pressure difference. Data are presented which show the nearly complete elimination of the streaming convective heat loads. Analysis of these and other irreversibilities show which components of the engine require further research to achieve higher efficiency. Additionally, these data show that the dynamics and acoustic power flows are well understood, but the details of the streaming suppression and associated heat convection are only qualitatively understood.     

串级热声发动机的机理分析及数值模拟

简要综述了热声发动机的发展历程,把三种典型的发动机形式作了比较分析,在此基础上,对国际上最近提出的串级型发动机进行了定性讨论,并结合一定的几何结构,运用线性热声理论对该类型热声机进行了数值模拟。     

A numerical method for incompressible viscous flow simulation

We describe a numerical scheme for computing time-dependent solutions of the incompressible Navier-Stokes equations in the primitive variable formulation. This scheme uses finite elements for the space discretization and operator splitting techniques for the time discretization. The resulting discrete equations are solved using specialized nonlinear optimization algorithms that are computationally efficient and have modest storage requirements. The basic numerical kernel is the preconditioned conjugate gradient method for symmetric, positive-definite, sparse matrix systems, which can be efficiently implemented on the architectures of vector and parallel processing supercomputers.     

Experimental study of the influence of different resonators on thermoacoustic conversion performance of a thermoacoustic-Stirling heat engine

In this paper, an experimental study of the effect of the resonator shape on the performance of a traveling-wave thermoacoustic engine is presented. Two different resonators were tested in the thermoacoustic-Stirling heat. One resonator is an iso-diameter one, and the other is a tapered one. To have a reasonable comparison reference, we keep the same traveling-wave loop, the same resonant frequency and the same operating pressure. The experiment showed that the resonator shape has significant influence on the global performance of the thermoacoustic-Stirling heat engine. The tapered resonator gives much better performance than the iso-diameter resonator. The tapered resonator system achieved a maximum pressure ratio of about 1.3, a maximum net acoustical power output of about 450 W and a highest thermoacoustic efficiency of about 25%.     

自激振荡热声发动机的整机数值模拟研究

基于线性热声理论,以复频率作为迭代判据,给出具体的四端口网络模拟算法,对两台实际的热声发动机进行了整机数值模拟,并且结合实验结果进行了对比分析。计算结果证明它们的板叠和回热器分别处于驻波和行波为主要分量的声场中,成为热声转换的核心。另外发现,频率误差不超过1%,相对振幅实验值约为计算值的70%,基本反映实验规律,同时解释了非线性影响是造成误差的主要原因。     

A numerical simulation method for dissolution in porous and fractured media

We describe an algorithm for simulating reactive flows in porous media, in which the pore space is mapped explicitly. Chemical reactions at the solid–fluid boundaries lead to dissolution (or precipitation), which makes it necessary to track the movement of the solid–fluid interface during the course of the simulation. We have developed a robust algorithm for constructing a piecewise continuous (C₁) surface, which enables a rapid remapping of the surface to the grid lines. The key components of the physics are the Navier–Stokes equations for fluid flow in the pore space, the convection–diffusion equation to describe the transport of chemical species, and rate equations to model the chemical kinetics at the solid surfaces. A lattice-Boltzmann model was used to simulate fluid flow in the pore space, with linear interpolation at the solid boundaries. A finite-difference scheme for the concentration field was developed, taking derivatives along the direction of the local fluid velocity. When the flow is not aligned with the grid this leads to much more accurate convective fluxes and surface concentrations than a standard Cartesian template. A robust algorithm for the surface reaction rates has been implemented, avoiding instabilities when the surface is close to a grid point. We report numerical tests of different aspects of the algorithm and assess the overall convergence of the method.     

A complete method for efficient fuzzy modal analysis

The objective of this paper is to determine both the fuzzy eigenvalues and eigenvectors of a finite element model defined with fuzzy parameters. The proposed method introduces the concepts of mode shape pairing and the functional dependence of eigensolutions with respect to design parameters. High-order approximations are then introduced to limit the computational cost associated with variability management. Numerical test cases are used to highlight the abilities of this method to predict behaviour modifications due to variations in the physical parameters.     

A direct numerical simulation method for complex modulus of particle dispersions

We report an extension of the smoothed profile method (SPM) (Y. Nakayama, K. Kim, and R. Yamamoto, Eur. Phys. J. E 26, 361 (2008)), a direct numerical simulation method for calculating the complex modulus of the dispersion of particles, in which we introduce a temporally oscillatory external force into the system. The validity of the method was examined by evaluating the storage G’(w \omega) and loss G”(w \omega) moduli of a system composed of identical spherical particles dispersed in an incompressible Newtonian host fluid at volume fractions of F \Phi = 0 , 0.41, 0.46, and 0.51. The moduli were evaluated at several frequencies of shear flow; the shear flow used here has a zigzag profile, as is consistent with the usual periodic boundary conditions. The simulation results were compared with several experiments for colloidal dispersions of spherical particles.     

电子双势垒量子隧穿的散射矩阵方法及其数值模拟

采用散射矩阵的方法研究了电子在由两个方势垒组成的双势垒结构中的隧穿特性.将电子在双势垒中的隧穿过程分为相干输运和非相干输运两部分来研究,相干输运导致了隧穿透射系数随中间层厚度变化产生量子振荡,而非相干输运导致了振荡振幅的衰减.双势垒总的透射系数与势垒高度、入射和出射波矢的匹配性有关,数值计算的结果证实了相关结论.     

Novel multi-tubular fixed-bed reactors’ shell structural analysis based on numerical simulation method

In the present contribution, a numerical study of fluid flow and heat transfer performance in a pilot-scale multi-tubular fixed-bed reactor with a novel configuration for propylene-to-acrolein oxidation reaction is presented using a three-dimensional computational fluid dynamics method (CFD) to ensure the uniformity condition using molten salt as a heat carrier medium on shell side. The effects of multiscale structural parameters including the number of baffles, baffles cut, central nontube region and the number of flow channels on pressure drop and heat transfer are considered. The simulations suggest that heat transfer coefficient per pressure drop is reduced with increasing number of baffles. By the single factor sensitivity analysis it was shown that the central region is the key factor in the structural design of a multi-tubular fixed-bed reactor.     

A three-dimensional Eulerian method for the numerical simulation of high-velocity impact problems

In the present paper, a three-dimensional （3D） Eulerian technique for the 3D numerical simulation of high-velocity impact problems is proposed. In the Eulerian framework, a complete 3D conservation element and solution element scheme for conservative hyperbolic governing equations with source terms is given. A modified ghost fluid method is proposed for the treatment of the boundary conditions. Numerical simulations of the Taylor bar problem and the ricochet phenomenon of a sphere impacting a plate target at an angle of 60~ are carried out. The numerical results are in good agreement with the corresponding experimental observations. It is proved that our computational technique is feasible for analyzing 3D high-velocity impact problems.     

超声空化去毛刺的理论分析及数值仿真

随着制造业的不断发展,对产品的加工精度要求愈来愈高,然而微小毛刺的去除仍然是十分困难的。毛刺虽小但危害巨大。因此,有效去除毛刺已成为加工中不可或缺的工序。而超声波去毛刺法可以有效快速的去除复杂零件的微小毛刺,具有很高的实用价值。尽管超声波的相关理论日趋完善,但是超声去毛刺机理以及空化产生的高压对毛刺的影响缺乏一些理论参考。此文阐述了超声波去毛刺的基本原理,利用有限元软件ABAQUS对单个空化泡在毛刺上的溃灭过程进行数值仿真,证明了超声波去毛刺的可行性,通过实验验证,超声波能够有效的去除毛刺。其研究结果为进一步研究超声波去毛刺的理论提供了参考。     

完全膜沸腾表面汽化率的测量及数值分析

通过在高温铜板表面上滴加酒精可产生稳定的完全膜沸腾现象.测量了液滴体积与完全汽化时间曲线,得出完全膜沸腾时,下表面的蒸发占体积减少的主要部分,并通过建立数学模型确定了下表面蒸汽膜处的蒸发速率.     

介质单边二次电子倍增的理论分析与数值模拟

针对介质单边二次电子倍增现象,理论分析给出了其动力学方程、二次电子初始能量与角度分布,结合二次电子发射的材料特性,研究了二次电子倍增的理论预估敏感区间。利用蒙特卡罗方法抽样选取电子初始发射能量和角度,数值研究了二次电子倍增的敏感区间,并与理论结果进行了比对,给出了二次电子数目随时间的增长关系;采用固定时间步长并考虑电子束动态加载饱和效应的细致蒙特卡罗方法,研究了二次电子数目、直流场、射频场、介质表面沉积功率、电子放电功率、二次电子碰撞能量及电子渡越时间等二次电子倍增特性物理量的变化过程,并且讨论了初始电流及二次电子倍增工作点对二次电子倍增整个过程的影响作用,得出了二次电子倍增存在初始阈值发射电流密度的结论。     

A multidimensional superposition principle: numerical simulation and analysis of soliton invariant manifolds I

Abstract

In the framework of a multidimensional superposition principle involving an analytical approach to nonlinear PDEs, a numerical technique for the analysis of soliton invariant manifolds is developed. This experimental methodology is based on the use of computer simulation data of soliton–perturbation interactions in a system under investigation, and it allows the determination of the dimensionality of similar manifolds and partially (in the small amplitude perturbation limit) to restore the related superposition formulae. Its application for cases of infinite dimensionality, and the question of approximation by lower dimensional manifolds and, respectively, by superposition formulae of a lower order are considered as well. The ideas and implementation details are illustrated and verified by using examples with the integrable, MKdV and KdV equations, and also nonintegrable, Kawahara and Regularized Long Waves equation, soliton models.     

金属双边二次电子倍增的理论分析与数值模拟

针对金属双边二次电子倍增现象,分析给出了电子共振方程、共振相位、相位聚焦条件以及碰撞电势;并根据二次电子发射的材料特性,研究了金属双边二次电子倍增的敏感区间。利用蒙特卡罗方法抽样选取电子初始发射能量和角度,数值研究了二次电子倍增的敏感区间,并与理论结果进行了比对,给出了二次电子数目随时间的增长关系。利用材料二次发射特性的经验公式,辅以电子碰撞角和碰撞能量计算以及对二次电子初始能量和发射角度的蒙特卡罗随机抽样算法,编制了3维全电磁粒子模拟程序NEPTUNE的金属边界二次电子发射功能模块,模拟金属双平板二次电子倍增过程,获得了二次电子倍增物理图像、二次电子数目随时间演化规律等结果。模拟结果不仅验证了理论分析,还表明在合适的条件下,空间电荷限制作用将导致二次电子倍增的饱和。     

金属双边二次电子倍增的理论分析与数值模拟

 针对金属双边二次电子倍增现象,分析给出了电子共振方程、共振相位、相位聚焦条件以及碰撞电势;并根据二次电子发射的材料特性,研究了金属双边二次电子倍增的敏感区间。利用蒙特卡罗方法抽样选取电子初始发射能量和角度,数值研究了二次电子倍增的敏感区间,并与理论结果进行了比对,给出了二次电子数目随时间的增长关系。利用材料二次发射特性的经验公式,辅以电子碰撞角和碰撞能量计算以及对二次电子初始能量和发射角度的蒙特卡罗随机抽样算法,编制了3维全电磁粒子模拟程序NEPTUNE的金属边界二次电子发射功能模块,模拟金属双平板二次电子倍增过程,获得了二次电子倍增物理图像、二次电子数目随时间演化规律等结果。模拟结果不仅验证了理论分析,还表明在合适的条件下,空间电荷限制作用将导致二次电子倍增的饱和。