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Nonequilibrium Thermodynamics and Distributions Time to Achieve a Given Level of a Stochastic Process for Energy of System 非平衡热力学和系统能量随机过程达到给定水平的分布时间
Pub Date : 2012-11-05 DOI: 10.1155/2012/318032
V. Ryazanov
In a previous paper (Ryazanov (2011)) with the joint statistical distribution for the energy and lifetime (time to achieve a given level of a stochastic process for energy of system) to derive thermodynamic relationships, clarifying similar expressions of extended irreversible thermodynamics we used an exponential distribution of lifetime. In this paper, we explore a more realistic expression for the distribution of time to achieve a given level of a stochastic process for energy of system (or relaxation times or lifetimes), and we analyse how such distribution affects the corresponding expressions of nonequilibrium entropy, temperature, and entropy production.
在之前的一篇论文(Ryazanov(2011))中,使用能量和寿命的联合统计分布(达到系统能量的随机过程的给定水平的时间)来推导热力学关系,阐明扩展不可逆热力学的类似表达式,我们使用寿命的指数分布。本文探讨了系统能量(或松弛时间或寿命)在随机过程中达到给定水平时的时间分布的更现实的表达式,并分析了这种分布如何影响非平衡态熵、温度和熵产的相应表达式。
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引用次数: 8
Computation of Isobaric Vapor-Liquid Equilibrium Data for Binary and Ternary Mixtures of Methanol, Water, and Ethanoic Acid from T, p, x, and HmE Measurements 从T, p, x和HmE测量计算甲醇,水和乙醇的二元和三元混合物的等压汽液平衡数据
Pub Date : 2012-10-10 DOI: 10.1155/2012/641251
Daming Gao, Hui Zhang, P. Lücking, Hong-Mei Sun, Jingyu Si, Dechun Zhu, H. Chen, Jianjun Shi
Vapor-liquid equilibrium (VLE) data for the strongly associated ternary system methanol + water + ethanoic acid and the three constituent binary systems have been determined by the total pressure-temperature-liquid-phase composition-molar excess enthalpy of mixing of the liquid phase ( , , , ) for the binary systems using a novel pump ebulliometer at 101.325 kPa. The vapor-phase compositions of these binary systems had been calculated from and based on the function of molar excess Gibbs energy through an indirect method. Moreover, the experimental , data are used to estimate nonrandom two-liquid (NRTL), Wilson, Margules, and van Laar model parameters, and these parameters in turn are used to calculate vapor-phase compositions. The activity coefficients of the solution were correlated with NRTL, Wilson, Margules, and van Laar models through fitting by least-squares method. The VLE data of the ternary system were well predicted from these binary interaction parameters of NRTL, Wilson, Margules, and van Laar model parameters without any additional adjustment to build the thermodynamic model of VLE for the ternary system and obtain the vapor-phase compositions and the calculated bubble points.
在101.325 kPa下,采用新型泵浦式膨胀计测定了强关联三元体系甲醇+水+乙醇酸和三组分二元体系的气液平衡(VLE)数据,即二元体系的总压强-温度-液相组成-液相的摩尔过量混合焓(,,,)。通过间接方法,根据摩尔过量吉布斯能的函数计算了二元体系的气相组成。此外,实验数据用于估计非随机双液(NRTL), Wilson, Margules和van Laar模型参数,这些参数反过来用于计算气相组成。通过最小二乘法拟合,将溶液活度系数与NRTL、Wilson、Margules和van Laar模型进行相关性分析。利用NRTL、Wilson、Margules和van Laar模型参数的二元相互作用参数,可以很好地预测三元体系的VLE数据,无需任何额外的调整,即可建立三元体系的VLE热力学模型,并获得气相组成和计算气泡点。
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引用次数: 4
Phase Behavior at High Pressure of the Ternary System: CO2, Ionic Liquid and Disperse Dye 三元体系的高压相行为:CO2、离子液体和分散染料
Pub Date : 2012-09-14 DOI: 10.1155/2012/921693
H. Mazzer, J. C. O. Santos, V. F. Cabral, C. Dariva, M. H. Kunita, A. Rubira, M. Aznar, L. Cardozo-Filho
High pressure phase behavior experimental data have been measured for the systems carbon dioxide (CO2)
测量了该系统二氧化碳(CO2)的高压相行为实验数据。
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引用次数: 14
Thermo-Diffusion and Diffusion-Thermo Effects on MHD Free Convective Heat and Mass Transfer from a Sphere Embedded in a Non-Darcian Porous Medium 热扩散和扩散热效应对嵌入非达西多孔介质的球体的MHD自由对流传热和传质
Pub Date : 2012-08-30 DOI: 10.1155/2012/725142
B. Vasu, V. Prasad, O. Bég
The problem of combined heat and mass transfer by natural convection over a sphere in a homogenous non-Darcian porous medium subjected to uniform magnetic field is numerically studied, taking Soret/Dufour effects into account. The coupled, steady, and laminar partial differential conservation equations of mass, momentum, energy, and species diffusion are normalized with appropriate transformations. The resulting well-posed two-point boundary value problem is solved using the well-tested, extensively validated Keller-Box implicit finite difference method, with physically realistic boundary conditions. A parametric study of the influence of Soret number (Sr), Dufour number (Du), Forchheimer parameter (Λ), Darcy parameter (Da), buoyancy ratio parameter (𝑁), Prandtl number (Pr), Schmidt number (Sc), magnetohydrodynamic body force parameter (𝑀), wall transpiration (𝑓𝑤) is the blowing/suction parameter, and streamwise variable (ξ) on velocity, temperature, and concentration function evolution in the boundary layer regime is presented. Shear stress, Nusselt number, and Sherwood number distributions are also computed. Applications of the study arise in hydromagnetic flow control of conducting transport in packed beds, magnetic materials processing, geophysical energy systems, and magnetohydrodynamic chromatography technology.
考虑Soret/Dufour效应,对均匀磁场作用下均匀非达西多孔介质中球表面自然对流传热传质问题进行了数值研究。耦合的、稳定的、层流的质量、动量、能量和物质扩散的偏微分守恒方程用适当的变换归一化。所得到的适定两点边值问题采用久经考验和广泛验证的Keller-Box隐式有限差分法求解,具有物理上真实的边界条件。给出了Soret数(Sr)、Dufour数(Du)、Forchheimer参数(Λ)、Darcy参数(Da)、浮力比参数()、Prandtl数(Pr)、Schmidt数(Sc)、磁流体动力体力参数(𝑀)、壁面蒸发量(𝑓𝑤)为吹风/吸力参数以及流向变量(ξ)对边界层中速度、温度和浓度函数演化的影响。还计算了剪应力、努塞尔数和舍伍德数分布。该研究的应用出现在填料床中导电输运的磁流控制、磁性材料处理、地球物理能源系统和磁流体动力色谱技术。
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引用次数: 14
Nonequilibrium Thermodynamics of Cell Signaling 细胞信号传导的非平衡热力学
Pub Date : 2012-07-30 DOI: 10.1155/2012/432143
E. Hernández-Lemus
Signal transduction inside and across the cells, also called cellular signaling, is key to most biological functions and is ultimately related with both life and death of the organisms. The processes giving rise to the propagation of biosignals are complex and extremely cooperative and occur in a far-from thermodynamic equilibrium regime. They are also driven by activation kinetics strongly dependent on local energetics. For these reasons, a nonequilibrium thermodynamical description, taking into account not just the activation of second messengers, but also transport processes and dissipation is desirable. Here we present a proposal for such a formalism, that considers cells as small thermodynamical systems and incorporates the role of fluctuations as intrinsic to the dynamics in a spirit guided by mesoscopic nonequilibrium thermodynamics. We present also a minimal model for cellular signaling that includes contributions from activation, transport, and intrinsic fluctuations. We finally illustrate its feasibility by considering the case of FAS signaling which is a vital signal transduction pathway that determines either cell survival or death by apoptosis.
细胞内部和细胞间的信号转导,也称为细胞信号传导,是大多数生物功能的关键,最终关系到生物体的生死。引起生物信号传播的过程是复杂的,极其合作的,并且发生在远离热力学平衡的状态下。它们还受到强烈依赖于局部能量学的激活动力学的驱动。由于这些原因,需要一种非平衡热力学描述,不仅考虑第二信使的激活,而且考虑传输过程和耗散。在这里,我们提出了这样一种形式的建议,它认为细胞是一个小的热力学系统,并在介观非平衡热力学的指导下,将波动的作用作为动力学的内在因素。我们还提出了一个细胞信号传导的最小模型,包括激活、运输和内在波动的贡献。我们最后通过考虑FAS信号传导的情况来说明其可行性,FAS信号传导是通过细胞凋亡决定细胞存活或死亡的重要信号转导途径。
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引用次数: 15
Thermodynamic Modelling of Dolomite Behavior in Aqueous Media 白云石在水介质中行为的热力学模拟
Pub Date : 2012-03-14 DOI: 10.1155/2012/723052
T. Michałowski, A. Asuero
The compact thermodynamic approach to the systems containing calcium, magnesium, and carbonate species is referred to dissolution of dolomite, as an example of nonequilibrium ternary salt when introduced into aqueous media. The study of dolomite is based on all attainable physicochemical knowledge, involved in expressions for equilibrium constants, where the species of the system are interrelated. The species are also involved in charge and concentration balances, considered as constraints put on a closed system, separated from the environment by diathermal walls. The inferences are gained from calculations performed with use of an iterative computer program. The simulated quasistatic processes occurred under isothermal conditions, started at a preassumed pH0 value of the solution where dolomite was introduced, and are usually involved with formation of other solid phases. None simplifying assumptions in the calculations were made.
对于含有钙、镁和碳酸盐的体系,紧凑的热力学方法是指白云石的溶解,作为非平衡三元盐引入水介质时的一个例子。白云岩的研究是基于所有可获得的物理化学知识,涉及平衡常数的表达式,其中系统的物种是相互关联的。该物种还参与电荷和浓度平衡,被认为是封闭系统的约束,通过绝热壁与环境隔离。这些推论是通过使用迭代计算机程序进行计算得到的。模拟的准静态过程发生在等温条件下,在白云石引入的溶液的预设pH0值开始,并且通常与其他固相的形成有关。在计算中没有作任何简化的假设。
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引用次数: 24
Thermodynamic Equilibrium Analysis of Methanol Conversion to Hydrocarbons Using Cantera Methodology 用Cantera方法分析甲醇转化为碳氢化合物的热力学平衡
Pub Date : 2012-03-08 DOI: 10.1155/2012/125460
D. A. Gunawardena, S. Fernando
Reactions associated with removal of oxygen from oxygenates (deoxygenation) are an important aspect of hydrocarbon fuels production process from biorenewable substrates. Here we report the equilibrium composition of methanol-to-hydrocarbon system by minimizing the total Gibbs energy of the system using Cantera methodology. The system was treated as a mixture of 14 components which had CH3OH, C6H6, C7H8, C8H10 (ethyl benzene), C8H10 (xylenes), C2H4, C2H6, C3H6, CH4, H2O, C, CO2, CO, H2. The carbon in the equilibrium mixture was used as a measure of coke formation which causes deactivation of catalysts that are used in aromatization reaction(s). Equilibrium compositions of each species were analyzed for temperatures ranging from 300 to 1380 K and pressure at 0–15 atm gauge. It was observed that when the temperature increases the mole fractions of benzene, toluene, ethylbenzene, and xylene pass through a maximum around 1020 K. At 300 K the most abundant species in the system were CH4, CO2, and H2O with mole fractions 50%, 16.67%, and 33.33%, respectively. Similarly at high temperature (1380 K), the most abundant species in the system were H2 and CO with mole fractions 64.5% and 32.6% respectively. The pressure in the system shows a significant impact on the composition of species.
从含氧物中去除氧(脱氧)的相关反应是生物可再生基质生产碳氢化合物燃料过程的一个重要方面。本文采用Cantera方法,通过最小化体系的总吉布斯能量,报道了甲醇-碳氢化合物体系的平衡组成。该体系由CH3OH、C6H6、C7H8、C8H10(乙苯)、C8H10(二甲苯)、C2H4、C2H6、C3H6、CH4、H2O、C、CO2、CO、H2等14种组分组成。平衡混合物中的碳被用作焦炭形成的量度,焦炭形成会导致芳构化反应中使用的催化剂失活。在温度为300 ~ 1380 K,压力为0 ~ 15大气压的条件下,分析了各物种的平衡组成。当温度升高时,苯、甲苯、乙苯和二甲苯的摩尔分数在1020k左右达到最大值。在300 K时,CH4、CO2和H2O的摩尔分数分别为50%、16.67%和33.33%。同样,在高温(1380 K)下,体系中最丰富的物质是H2和CO,摩尔分数分别为64.5%和32.6%。系统内的压力对物种组成有显著的影响。
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引用次数: 13
IGE Model: An Extension of the Ideal Gas Model to Include Chemical Composition as Part of the Equilibrium State IGE模型:理想气体模型的扩展,包括化学成分作为平衡态的一部分
Pub Date : 2012-03-05 DOI: 10.1155/2012/870631
C. Paolini, S. Bhattacharjee
The ideal gas (IG) model is probably the most well-known gas models in engineering thermodynamics. In this paper, we extend the IG model into an ideal gas equilibrium (IGE model) mixture model by incorporating chemical equilibrium calculations as part of the state evaluation. Through a simple graphical interface, users can set the atomic composition of a gas mixture. We have integrated this model into a thermodynamic web portal TEST (http://thermofluids.sdsu.edu/) that contains Java applets for various models for properties of pure substances. In the state panel of the IGE model, the known thermodynamic properties are entered. For a given pressure and temperature, the mixture's Gibbs function is minimized subject to atomic constraints and the equilibrium composition along with thermodynamic properties of the mixture are calculated and displayed. What is unique about this approach is that equilibrium computations are performed in the background, without requiring any major change in the familiar user interface used in other state daemons. Properties calculated by this equilibrium state daemon are compared with results from other established applications such as NASA CEA and STANJAN. Also, two different algorithms, an iterative approach and a direct approach based on minimizing different thermodynamic functions in different situation, are compared.
理想气体(IG)模型可能是工程热力学中最著名的气体模型。在本文中,我们通过将化学平衡计算作为状态评估的一部分,将IG模型扩展到理想气体平衡(IGE模型)混合模型。通过一个简单的图形界面,用户可以设置气体混合物的原子组成。我们已经将这个模型集成到热力学门户网站TEST (http://thermofluids.sdsu.edu/)中,其中包含用于各种纯物质性质模型的Java小程序。在IGE模型的状态面板中,输入已知的热力学性质。在给定的压力和温度下,根据原子约束最小化了混合物的吉布斯函数,计算并显示了混合物的平衡组成和热力学性质。这种方法的独特之处在于平衡计算是在后台执行的,不需要对其他状态守护进程中使用的熟悉的用户界面进行任何重大更改。利用此平衡状态守护程序计算的性质与其他已建立的应用程序(如NASA CEA和STANJAN)的结果进行了比较。并对迭代法和基于不同情况下不同热力函数最小化的直接法两种不同算法进行了比较。
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引用次数: 1
Equilibrium Molecular Interactions in Pure Gases 纯气体中的平衡分子相互作用
Pub Date : 2012-03-01 DOI: 10.1155/2012/859047
B. Sedunov
The equilibrium molecular interactions in pure real gases are investigated based on the chemical thermodynamics principles. The parallels between clusters in real gases and chemical compounds in equilibrium media have been used to improve understanding of the real gas structure. A new approach to the equilibrium constants for the cluster fractions and new methods to compute them and their significant parameters from the experimental thermophysical data are developed. These methods have been applied to some real gases, such as Argon and Water vapors and gaseous Alkanes. It is shown that the four-particle clusters make a noticeable contribution in the thermophysical properties of the equilibrium Water vapor. It is shown also that the effective bond energy for dimers in Alkanes linearly grows with the number of carbon atoms in the molecule.
根据化学热力学原理,研究了纯实际气体中分子的平衡相互作用。实际气体中的团簇与平衡介质中的化合物之间的相似之处已被用来提高对实际气体结构的理解。提出了用实验热物理数据计算簇分数平衡常数的新方法和簇分数平衡常数及其重要参数的新方法。这些方法已应用于一些实际气体,如氩气、水蒸气和气态烷烃。结果表明,四粒子团簇对平衡态水蒸气的热物理性质有显著的影响。烷烃中二聚体的有效键能随碳原子数的增加呈线性增长。
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引用次数: 12
Thermodynamic Properties of Real Porous Combustion Reactor under Diesel Engine-Like Conditions 模拟柴油机工况下真实多孔燃烧反应器的热力学性质
Pub Date : 2012-02-19 DOI: 10.1155/2012/798104
M. Węcłaś, J. Cypris, T. Maksoud
Thermodynamic conditions of the heat release process under Diesel engine-like conditions in a real porous combustion reactor simulated in a special combustion chamber were analyzed. The same analyses were performed for a free volume combustion chamber, that is, no porous reactor is applied. A common rail Diesel injection system was used for simulation of real engine fuel injection process and mixture formation conditions. The results show that thermodynamic of the heat release process depends on reactor heat capacity, pore density, specific surface area, and pore structure, that is, on heat accumulation in solid phase of porous reactor. In real reactor, the gas temperature and porous reactor temperature are not equal influenced by initial pressure and temperature and by reactor parameters. It was found that the temperature of gas trapped in porous reactor volume during the heat release process is less dependent on air-to-fuel-ratio than that observed for free volume combustion chamber, while the maximum combustion temperature in porous reactor is significantly low. As found this temperature depends on reactor heat capacity, mixture formation conditions and on initial pressure. Qualitative behavior of heat release process in porous reactors and in free volume combustion chamber is similar, also the time scale of the process.
分析了在特殊燃烧室模拟的真实多孔燃烧反应器在类似柴油机工况下放热过程的热力学条件。对自由体积燃烧室进行了相同的分析,即没有应用多孔反应器。采用共轨式柴油机喷射系统,对真实发动机的燃油喷射过程和混合气形成条件进行了仿真。结果表明,热释放过程的热力学取决于反应器的热容量、孔密度、比表面积和孔结构,即取决于多孔反应器固相的热量积累。在实际反应器中,受初始压力、初始温度和反应器参数的影响,气体温度和多孔反应器温度是不相等的。研究发现,多孔反应器体积内气体在放热过程中的温度对空燃比的依赖程度小于自由体积燃烧室,而多孔反应器的最高燃烧温度明显较低。结果表明,该温度取决于反应器热容量、混合物形成条件和初始压力。多孔反应器和自由体积燃烧室放热过程的定性行为相似,过程的时间尺度也相似。
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引用次数: 16
期刊
Journal of Thermodynamics
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