Approximate solutions of radiative transfer in one-dimensional non-planar systems

An approximate method is developed for the study of radiative transfer in one-dimensional, non-planar systems. While this method can be regarded as an extension of some existing approximation techniques formulated for the one-dimensional planar problem, it does yield closed-form expressions for the radiant heat flux and the temperature profile for various non-planar problems, which have not been established before. Comparisons with the available numerical results show that the heat-flux expressions are accurate throughout the entire range of the optical thickness. Results for the temperature profile. however, have the same limitation as the various closed-form approximate solutions for the planar problem. They are not very accurate at regions near the boundary, except in the optically thick limit. Based on the closed-form expressions obtained for the non-planar radiative transfer problem, the present work establishes readily the effect of the various parameters, such as the optical thickness, the surface emissivity, the radius ratio and the heat-generation rate on the heat-transfer and the temperature profile. Differences between radiative heat-transfer characteristics of the two basic non-planar systems (concentric cylinders and concentric spheres) are discussed.     

One possibility of mathematically modeling the thermal effect of a finely focused electron beam on a homogeneous semiconductor

The problem of heat distribution in materials irradiated with finely focused medium-energy electron beams is considered by means of mathematical simulation. A model is developed by solving a multidimensional heat-transfer steady equation using the Green function. A model that can be applied to a broad class of solid bodies and the range of energies of primary electrons is used as the source function. Some results are illustrated using the example of semiconductor materials used in electronics.     

A new fractional derivative involving the normalized sinc function without singular kernel

In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are presented. The results are significant in the analysis of one-dimensional anomalous heat-transfer problems.     

Discrete ordinate method with a new and a simple quadrature scheme

Evaluation of the radiative component in heat-transfer problems is often difficult and expensive. To address this problem, in the recent past, attention has been focused on improving the performance of various approximate methods. Computational efficiency of any method depends to a great extent on the quadrature schemes that are used to compute the source term and heat flux. The discrete ordinate method (DOM) is one of the oldest and still the most widely used methods. To make this method computationally more attractive, various types of quadrature schemes have been suggested over the years. In the present work, a new quadrature scheme has been suggested. The new scheme is a simple one and does not involve complicated mathematics for determination of direction cosines and weights. It satisfies all the required moments. To test the suitability of the new scheme, four benchmark problems were considered. In all cases, the proposed quadrature scheme was found to give accurate results.     

直接模拟蒙特卡罗法对连续流体传热和流动的模拟

直接模拟蒙特卡罗法在稀薄气体模拟中获得了成功的应用。然而,在处理连续介质传热和流动问题时,模拟的速度极大地制约了该方法的应用。尤其对于大系统的连续流动,该方法的收敛速度几乎无法实现。鉴于此,本文通过引入超粒子,对直接模拟蒙特卡罗方法进行改进,并将其应用于连续介质传热和流动模拟之中。     

An analytical discrete-ordinates solution for dual-mode heat transfer in a cylinder

A modern analytical version of the discrete-ordinates method is used along with Hermite cubic splines and Newton's method to solve a class of coupled nonlinear radiation-conduction heat-transfer problems in a solid cylinder. Computational details of the solution are discussed, and the algorithm is implemented to establish high-quality results for various data sets which include some difficult cases.     

Axisymmetric problem of thermal energy accumulation based on liquid—solid phase transition

The axisymmetric problem of thermal energy accumulation in a material undergoing a phase transition at its interaction with a heat-transfer agent whose temperature varies cyclically is considered. The possibility of choosing the parameters of an accumulator part design, where the material is stored, is investigated by numerical methods. An optimal volume of the heat-accumulating material is determined from the condition of the equality of the heat amount at the accumulator charge-discharge. Results computed for the laminar and turbulent regimes of heat-transfer agent supply showed that the turbulent regime is the most efficient for the same heat-exchange surface.     

Multi-Party Quantum Key Agreement Protocol for Smart Home Environment

The most typical case of applying technology and communication technology to life may be the popular smart home series. Users can remotely control smart devices through mobile phones, which is convenient and fast, greatly changing people’s way of life. However, the safe login of smart devices has become a thorny problem. With the emergence of quantum computer, the common encryption method cannot prevent quantum attacks. In addition, a family often has multiple smart devices and multiple family members. Each user can log in to multiple smart devices, and each device can also be logged in by multiple users. Therefore, in view of the above situation, we propose a multi-party quantum session key agreement protocol based on Bell states and single particles, which can be used for multiple participants to negotiate session keys together, and improve the efficiency of users logging in and using smart devices. Moreover, our protocol ensures that each party has an equal opportunity to decide the final shared key, no party can determine the final key individually. Furthermore, security and efficiency analysis show that our protocol can achieve ideal results under the existing quantum technology.

     

Modeling of the optical properties of porous silicon photonic crystals in the visible spectral range

Optical devices based on photonic crystals are of great interest because they can be efficiently used in laser physics and biosensing. Photonic crystals allow one to control the propagation of electromagnetic waves and to change the emission characteristics of luminophores embedded into photonic structures. One of the most interesting materials for developing one-dimensional photonic crystals is porous silicon. However, an important problem in application of this material is the control of the refractive index of layers by changing their porosity, as well as the refractive index dispersion. In addition, it is important to have the possibility of modeling the optical properties of structures to choose precisely select the fabrication parameters and produce one-dimensional photonic crystals with prescribed properties. In order to solve these problems, we used a mathematical model based on the transfer matrix method, using the Bruggeman model, and on the dispersion of silicon refractive index. We fabricated microcavities by electrochemical etching of silicon, with parameters determined by the proposed model, and measured their reflection spectra. The calculated results showed good agreement with experimental data. The model proposed allowed us to achieve a microcavity Q-factor of 160 in the visible region.     

Oxide reliability improvement controlling microstructures of substrate/oxide and oxide/gate interfaces

For future ULSIs, the oxide reliability problem is a key issue to realize low-power, high-speed devices whilst retaining its reliability. In the MOSFET structure, a gate oxide consists of the substrate/oxide interface, oxide and oxide/gate interface. Therefore, to improve oxide reliability, it is important to control these three component structures individually. In this report, I will describe experiments to control structures of the above two interfaces using: (1) a combination of a closed wet cleaning system and a load-lock oxidation system and (2) an ultra-thin film deposition CVD technique. By controlling these structures, the oxide reliability was improved. Moreover, the interface structure should be carefully controlled in high- k gate dielectrics in future devices.     

X-ray microbeams based on Kumakhov polycapillary optics and its applications: Analytical consideration

Kumakhov polycapillary optics is based on the effective passage of X-ray radiation through bundles of monocapillaries of various configurations. The passage of radiation takes place because of the total external reflection of X-rays from the inner capillary walls. In this work, the basic characteristics of intense quasi-parallel X-ray polycapillary microbeams from a laboratory source with microfocus X-ray tube/polycapillary cylindrical structure are investigated theoretically (analytical consideration). The data generated from theoretical estimations are compared with the experimental results. Several new generations of X-ray analytical devices like, laboratory synchrotron, fluorescent spectrometers, reflectometers/refractometers, diffractometers, X-ray microscopes and combinations of several such devices, are developed based on polycapillary optics. Besides, a number of devices can be developed for the most modern research problems such as nanomateriology, namely, X-ray nanoscanner, portable X-ray nanothickness indicator etc. X-ray tubes and the radiators, specially developed for polycapillary optics as efficiently as possible, are used in all the devices mentioned above.     

A discrete-time chaos synchronization system for electronic locking devices

This paper presents a novel electronic locking key based on discrete-time chaos synchronization. Two Chen chaos generators are synchronized using the Model-Matching Approach, from non-linear control theory, in order to perform the encryption/decryption of the signal to be transmitted. A model/transmitter system is designed, generating a key of chaotic pulses in discrete-time. A plant/receiver system uses the above mentioned key to unlock the mechanism. Two alternative schemes to transmit the private chaotic key are proposed. The first one utilizes two transmission channels. One channel is used to encrypt the chaotic key and the other is used to achieve output synchronization. The second alternative uses only one transmission channel for obtaining synchronization and encryption of the chaotic key. In both cases, the private chaotic key is encrypted again with chaos to solve secure communication-related problems. The results obtained via simulations contribute to enhance the electronic locking devices.     

汽车尾气催化转化器内的对流换热

为了建立汽车尾气催化转化器冷启动过程温度场变化的数学模型,必须正确地选取对流换热系数关联式。本文选用三个典型的对流换热系数关联式,对无化学反应条件下催化剂载体的温升过程分别进行了数值模拟。同时建立实验台,测量不同工况下载体温升过程中温度场的变化。数值模拟与实验结果的对比表明,在催化转化器冷启动过程的不同阶段,应使用不同的对流换热系数关联式进行描述。     

Complex modal analysis of rods with viscous damping devices

The complex modal analysis of rods equipped with an arbitrary number of viscous damping devices is addressed. The following types of damping devices are considered: external (grounded) spring-damper, attached mass-spring-damper and internal spring-damper. Within a standard 1D formulation of the vibration problem, the theory of generalized functions is used to model axial stress and displacement discontinuities at the locations of the damping devices. By using the separate variable approach, a simple solution procedure of the motion equation leads to exact closed-form expressions of the characteristic equation and eigenfunctions, which inherently fulfill the required matching conditions at the locations of the damping devices. Based on the characteristic equation, a closed-form sensitivity analysis of the eigensolution is implemented. The displacement eigenfunctions exhibit orthogonality conditions. They can be used with the complex mode superposition principle to tackle forced vibration problems and, in conjunction with the stress eigenfunctions, to build the exact dynamic stiffness matrix of the rod for complex modal analysis of truss structures. Numerical results are discussed for a variety of parameters.     

Deterministic patterns of noise and the control of chaos

Real systems in physics, chemistry and biology are always subject to fluctuations that change qualitatively the systems' dynamics. In particular, rare large fluctuations are responsible for the nucleation at phase transitions, mutations in DNA sequences, protein transport in cells and failure of electronic devices. In many cases of practical interest systems are away from thermal equilibrium, and understanding the fluctuations in such systems is one of the fundamental problems of statistical physics that has challenged researchers for decades. Recent progress in the solution of this problem is closely related to the emerging understanding of patterns of deterministic trajectories underlying non-equilibrium fluctuations. These trajectories correspond to the Hamilton equations of motion written for the asymptotic solution of the Fokker - Planck equation and were often thought of as a mere mathematical abstraction. The possibility of quantitative experiments could not be entertained until the appropriate statistical quantity (prehistory probability distribution) had been introduced. In this paper it is shown how such trajectories can be measured experimentally in a number of systems and how the knowledge of these trajectories can be used to solve long standing problems in the theory of fluctuations and in the control theory.     

Remote dipolar interactions for objective density calibration and flow control of excitonic fluids

In this Letter we suggest a method to observe remote interactions of spatially separated dipolar quantum fluids, and in particular, of dipolar excitons in GaAs bilayer based devices. The method utilizes the static electric dipole moment of trapped dipolar fluids to induce a local potential change on spatially separated test dipoles. We show that such an interaction can be used for model-independent, objective fluid density measurements, an outstanding problem in this field of research, as well as for interfluid exciton flow control and trapping. For a demonstration of the effects on realistic devices, we use a full two-dimensional hydrodynamical model.     

Frequency band-wise passive control of linear time invariant structural systems with H∞ optimization

A frequency band specific passive control strategy is presented based on H_∞ optimization for multi-degree of freedom (MDOF) linear time invariant (LTI) structural systems. Effective control can be achieved if passive control devices are designed by considering frequency bands of excitation. Minimization of maximum spectral norm or worst-case gain in the excitation frequency range is taken into account for the design of passive control devices for effective performance. A multi-storey shear planer frame coupled with a tuned mass damper (TMD) system as the passive control device is considered in the numerical simulation for controlling both displacement and acceleration subjected to base excitation. The band-specific H_∞ optimization problem for design of passive control devices has been transformed into GA-friendly form for the TMD system as control devices. Such a design strategy of passive control devices based on minimizing worst-case gain associated to finite frequency band is observed to provide efficient design of a TMD system with better performance than that designed based on conventional H_∞ optimization associated to entire frequency range.     

On the efficacy of spatial sampling using manual scanning paths to determine the spatial average sound pressure level in rooms

In architectural acoustics, noise control and environmental noise, there are often steady-state signals for which it is necessary to measure the spatial average, sound pressure level inside rooms. This requires using fixed microphone positions, mechanical scanning devices, or manual scanning. In comparison with mechanical scanning devices, the human body allows manual scanning to trace out complex geometrical paths in three-dimensional space. To determine the efficacy of manual scanning paths in terms of an equivalent number of uncorrelated samples, an analytical approach is solved numerically. The benchmark used to assess these paths is a minimum of five uncorrelated fixed microphone positions at frequencies above 200 Hz. For paths involving an operator walking across the room, potential problems exist with walking noise and non-uniform scanning speeds. Hence, paths are considered based on a fixed standing position or rotation of the body about a fixed point. In empty rooms, it is shown that a circle, helix, or cylindrical-type path satisfy the benchmark requirement with the latter two paths being highly efficient at generating large number of uncorrelated samples. In furnished rooms where there is limited space for the operator to move, an efficient path comprises three semicircles with 45°-60° separations.     

The influence of the exhaust system unsteady gas flow and insulation on the performance of a turbocharged diesel engine

A comprehensive digital computer program is used to simulate the unsteady gas flow in the exhaust and inlet systems of a multi-cylinder, turbocharged, medium-high speed, four-stroke diesel engine installed at the authors' laboratory. The simulation assumes one-dimensional, time-varying gas flow in the engine pipes and incorporates numerous realistic fluid dynamic, thermodynamic and heat-transfer features. The characteristic mathematical transformation solution of the gas-flow dynamics partial differential equations is interfaced with First-Law analysis models of the cylinders main chambers and prechambers. The simulation results are compared most favourably against the engine's experimental performance results, which include mean air consumption rate, pressure histories at various locations on the exhaust system, and energy-mean temperature values at the exit of the exhaust system. The simulation results are also utilized for the determination of the various cylinders' exhaust waves intensity, as they are imposed by the design characteristics of the exhaust manifold. The plotting of relevant charts, showing the contour variation of gas pressure, temperature and Mach index against engine crank angle and pipe length, aids the correct interpretation of the observed behaviour. The detailed simulation of the fluid dynamic and heat-transfer fields in the engine exhaust system, permits an interesting parametric study of the influence of the degree of insulation of the exhaust system on the energy and exergy (availability) content of the exhaust gases before the turbocharger turbine, by coupling the above First-Law with Second-Law analysis concepts.