一类偏微分方程组混合问题的精确解及其应用

本文用新方法建立了描述地下渗流规律的偏微分方程组的定解条件,并求得了该方程组混合问题的精确解;给出了精确解在油田试井解释中的重要应用。     

关于模糊规则独立性问题的研究

基于模糊关系给出了模糊规则独立性的一种新的定义,讨论了模糊规则独立性的相关性质,从而提出了一种利用模糊规则独立性对规则库进行划分的方法,进而将规则库划分为独立规则和耦合规则两部分并建立了该规则库的推理公式;给出了Mamdani 组合推理方法与并组合独立推理方法之间的关系;最后,通过所建立的实际模糊系统给出了模糊规则库的具体划分,验证了这种划分的正确性.     

基于多元统计分析的湖库水质富营养化程度评价模型及应用

利用多元统计中的主成份分析及判别分析方法 ,建立了一种新的湖库水质富营养化程度综合评价模型 ,并给出就我国十二个湖库的评价实例 ,实证分析的结果表明 :这是一种稳定性较好且切实有效的综合评价方法模型     

基于PH服务的工作休假排队的流模型

研究了带有单重工作休假的M/PH/1排队系统驱动的流体模型.首先,通过拟生灭过程和矩阵几何解法分别得到无穷小生成元和驱动过程的稳态队长分布.其次,建立并分析流体模型,根据平衡方程给出流体模型的稳态联合分布函数满足的矩阵微分方程组,利用Laplace变换(LT)和Laplace-Stieltjes变换(LST)的方法,推导出平稳缓冲器(库)容量的空库概率表达式和稳态条件下的缓冲器(库)容量的均值表达式.最后,给出模型在移动自组织网络(Ad Hoc)中的应用,并通过数值例子讨论系统参数对系统性能指标的影响.     

纵横步进编织规律的数学描述及其证明

对于纵横编织步进编织中的步长选取规律用精确的数学语言描述 ,并给出其严格的数学证明 ,为进一步设计和实现纵横编织技术提供了理论基础 .     

基于PH服务的工作休假排队的流体模型

研究了带有单重工作休假的M/PH/1排队系统驱动的流体模型.首先,通过拟生灭过程和矩阵几何解法分别得到无穷小生成元和驱动过程的稳态队长分布.其次,建立并分析流体模型,根据平衡方程给出流体模型的稳态联合分布函数满足的矩阵微分方程组,利用Laplace变换（LT）和Laplace-Stieltjes变换（LST）的方法,推导出平稳缓冲器（库）容量的空库概率表达式和稳态条件下的缓冲器（库）容量的均值表达式.最后,给出模型在移动自组织网络（Ad Hoc）中的应用,并通过数值例子讨论系统参数对系统性能指标的影响.     

期刊发稿动力学系统

发稿库库存量是影响稿件发表时间的关键因素之一,文章分析了影响发稿库库存量的两个指标:一是二审库稿件进入发稿库的入库率,二是发稿库中排队时间为x的稿件的刊登率.最后给出了研究问题的数学描述.     

一个可靠机器,一个不可靠机器和一个缓冲库构成的系统的定性分析

本文用纯分析的方法给出了一个可靠机器 ,一个不可靠机器和一个缓冲库构成的系统解的存在唯一性证明     

设计效应在复杂样本设计中的应用研究——以我国住户调查为例

本文首先给出并分析了影响复杂抽样设计效率的要素构成,明确了设计效应在抽样误差量度方面所具有的优势;其次,针对设计中的诸多要素,建立不同要素组合设计效应模型和综合设计效应模型,构建了对复杂抽样设计进行有效分析的理论分析框架;最后,以我国住户调查为例,给出设计效应在我国复杂样本设计中的应用。     

基于DEA方法的地下防护工程养护价值评价

针对地下防护工程的养护修缮情况,构建养护价值评价指标体系,引入数据包络分析方法(DEA),采用对抗交叉评价模型,对多个作为DEA决策单元的地下防护工程进行了分析和评价,最终对地下防护工程养护价值的优先级给出合理评价,利用数据包络分析方法(DEA)对抗交叉评价模型能够较客观地反映地下防护工程的养护价值,具有概念清晰、过程直观、程序计算简单等特点,获得了比较满意的结果.     

CFD simulation of methane dispersion and innovative methane management in underground mining faces

This study addresses methane dispersion in a mine tunnel with discrete methane sources and various methods to handle it. Air flow behavior and methane dispersion in the tunnel are simulated utilizing the computational fluid dynamics (CFD) approach. Various possible conditions which may occur in a mine tunnel are investigated. Simulation results indicate that methane dispersion inside the mine tunnel is influenced significantly by the number as well as location of the sources and quantity of methane released from each source. Furthermore, application of an innovative flow divider which comprises volumetric flow control and flow director, is investigated. It is found that by properly directing the ventilation flow to the location where methane is accumulating can reduce methane concentration below the safe level. In addition, it is noted that focusing the ventilation flow at a point is more effective as compared to dispersing it at several points. This study provides some new ideas for designing an “intelligent” underground mine ventilation system which can cost-effectively maintain methane concentration below the critical value.     

Classification of Structural Complexity for Mine Ventilation Networks

The mine ventilation system is most important and technical measure for ensuring safety production in mines. The structural complexity of a mine ventilation network can directly affect the safety and reliability of the underground mining system. Quantitatively justifying the degree of complexity can contribute to providing a deeper understanding of the essential characteristics of a network. However, so far, there is no such a model which is able to simply, practically, reasonably, and quantitatively determine or compare the structural complexity of different ventilation networks. In this article, by analyzing some typical parameters of a mine ventilation network, we conclude that there is a linear functional relationship among five key parameters (number of ventilation network branches, number of nodes, number of independent circuits, number of independent paths, and number of diagonal branches). Correlation analyses for the main parameters of ventilation networks are conducted based on SPSS. Based on these findings, a new evaluation model for the structural complexity of ventilation network (which is represented by C) has been proposed. By combining SPSS classification analyses results with the characteristics of mine ventilation networks, standards for the complexity classification of mine ventilation systems are put forward. Using the developed model, we carried out analyses and comparisons for the structural complexity of ventilation networks for typical mines. Case demonstrations show that the classification results correspond to the actual situations. © 2014 Wiley Periodicals, Inc. Complexity 21: 21–34, 2015     

Optimization of operating strategies in a community solar heating system

Minimization of auxiliary energy costs is discussed for heating in a district solar heating system with effective heat storage. The minimization problem is approached by dynamic programming which gives an optimal operating strategy for the auxiliary energy system. The effects of different pricing schemes of auxiliary energy (electricity) have been studied. The results show that with an adequate heat storage capacity, the optimization of the auxiliary energy use in a community solar heating system may lead to considerable cost savings.     

Application of fuzzy control to a road tunnel ventilation system

This paper deals with the serious problems of ventilation system in a large road tunnel. Higher visibility and lower concentration of carbon monoxide are the key issues concerning the ventilation system. Prior to designing the fuzzy control model, a configuration layout of the ventilation system including sensing, control and traffic prediction as well is conceptually constructed. Based on the layout that offers assignments of sensors and control elements, a fuzzy logic control model is developed. Membership functions of sensor errors and control increments are physically submitted in order to set up the fuzzy logic rules. Timing and spacing filtering in terms of weighting approaches is employed in the fuzzy logic rules. A dynamic equation describing the concentration of air pollution is also given so as to cooperate with the fuzzy logic rules and to play roles in the computer simulation. The result of computer simulation involving five cases indicates that a multi-level scheme is able to solve the engineering problems.     

A comparative study of a heat and fluid flow problem using three models of different levels of sophistication

Three mathematical models of different levels of sophistication have been used to study a practical problem on underground heat and fluid flow, associated with the seasonal storage of hot water in an aquifer. A number of scenarios have been examined using the three models. For the basic problem the three models yield similar results, so use of the simplest is preferred. For several variations on the problem, only the more complicated models are adequate to properly address the problem. In general, the choice of an appropriate model is very problem-specific and requires not only experience with modelling methods, but also an understanding of the physics of the problem.     

Efficient numerical modelling of hydro-mechanical effects in fractures using a hybrid dimensional approach and non-conformal mesh coupling

The investigation of subsurface fluid flow in porous and fractured media is of interest in particular to determine the properties of matter and heat transport below the earth surface and the characteristics of the underground storage of fluids. Classical approaches such as extended diffusion equations are lacking the possibilities to capture key phenomena such as inverse water-level fluctuations (Noordbergum effect) obtained during pumping tests performed on aquifers [1, 2, 4]. In order to efficiently model hydro-mechanical effects, this contribution presents an implementation of the newly introduced hybrid-dimensional approach [3] in the DUNE-PDELab environment. (© 2017 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Construction of asymptotic solutions to conjugation problems

A steady-state mass transfer problem related to underground storage of radioactive and chemical wastes is used to illustrate the application of an approximate method that opens up new opportunities for underground thermohydrodynamic simulation. The problem is represented as a sequence of mixed conjugation problems for the expansion coefficients, the remainder term, and the boundary-layer functions. Analytical expressions for the zero- and first-order expansion coefficients are derived.     

Normalized Dynamic Characterization and Application of Multiple Heat Storage Materials Based on Standard Thermal Resistance北大核心CSCD

基于标准热阻和能量流法,推导出储热材料与换热流体的瞬态换热热阻,通过类比电路分析法,获得了储热-换热过程的瞬态热量流模型及动态响应时间常数。进一步引入节点温度,重新定义换热热阻,获得了储热与换热过程耦合的三阶电路瞬态热量流模型,求解得到了加热、储热和释热三类时间常数,可用于协同表征储热材料中储热与释热的快慢程度,从而实现了多类储热材料的归一化动态表征。通过数值模拟验证与应用对比分析,发现基于多时间常数的归一化动态模型用于表征储热材料的动态特性是可行的,可直接对不同换热、储热材料进行对比分析。案例分析发现与固体储热材料换热时,液态金属的动态换热能力优于熔融盐,而相比于水蒸气和CO₂,空气与陶瓷材料换热能更快达到稳态。     

Numerical analysis of the thermal behaviour of a shell-and-tube heat storage unit using phase change materials

This work presents a numerical study of a latent heat storage unit (LHSU) consisting of a shell-and-tube. The shell space is filled with two phase change materials (PCMs), P116 and n-octadecane, with different melting temperatures (50 °C and 27.7 °C, respectively). A heat transfer fluid (HTF: water) flows by forced convection through the inner tube, and transfers the heat to PCMs. In order to compare the thermal performances of the latent heat storage unit using two phase change materials (LHSU2) and a single PCM (LHSU1), a mathematical model based on the conservation energy equations was developed and validated with experimental data. Several numerical investigations were conducted in order to examine the impact of the key parameters: the HTF inlet temperature (ranges from 50 to 60 °C), the mass flow rate of the HTF and the proportion mass of PCMs, on the thermal performances of the latent heat storage units using two PCMs and a single PCM, during charging process (melting). This parametric study provides guidelines for system thermal performance and design optimization.     

Modelling and simulation of heat exchange and moisture content in a cereal storage silo

ABSTRACT

In this paper, a mathematical model is developed based on the heat transfer of stored grains aerated in a cylindrical silo. This work is a part of study that aims to model the whole process of cereal storage system including a dehumidifier. The use of dehumidifier is intended to remove excess moisture from the airflow injected by the ventilator system in the silo filled with wheat, and to keep hygroscopic properties of grain in safe level during the storage period. Temperature and humidity are the two important variables coupled to control the process and to preserve grain quality. The laboratory device permitted us to achieve several tests for different conditions of grain stored in silo without aeration. A simulation of the airflow through the thermal space of the silo and grain parameters has been carried out. The results are reasonably in agreement with experiments and other published data. The system performance is evaluated at critical conditions of storage boundaries.