Multiple phase transitions in the generalized Curie-Weiss model

The generalized Curie-Weiss model is an extension of the classical Curie-Weiss model in which the quadratic interaction function of the mean spin value is replaced by a more general interaction function. It is shown that the generalized Curie-Weiss model can have a sequence of phase transitions at different critical temperatures. Both first-order and second-order phase transitions can occur, and explicit criteria for the two types are given. Three examples of generalized Curie-Weiss models are worked out in detail, including one example with infinitely many phase transitions. A number of results are derived using large-deviation techniques.     

土壤内水分流动及温度分布计算——耦合型模型

本文目的在于发展一个计算土壤内水分输送及能量交換的物理模型——耦合型模型,驱动该模型的大气条件是由实测而得的,引用对蒸发的土壤表面阻抗关联了在大气中水汽通量与从地表的蒸发,由于这种阻抗引入,计算模拟的结果与实测值达到了较好的吻合。     

Stagnation point heat transfer from laminar,high temperature methane flames

Combustion of methane-rich fuels frequently provides forced convective heating in industry, and the ability to predict the rate of heat transfer from such flames to solid surfaces is often desirable. Mathematical modelling of stagnation point heat flux has been achieved by numerical solution of the boundary layer equations, and by an analytical equation modified to include the effects of chemical reaction in the free stream flow and to allow for the enhancement in heat flux caused by the diffusion and exothermic recombination of reactive species in the boundary layer surrounding the heat receiving body. Predictions from these models have been compared with experimental data obtained in high temperature methane flames of various equivalence ratios. Within the equilibrium region of these flames, predictions from the modified analytical equation based on total Lewis numbers equal to and greater than one form a tight envelope around the experimental results, and hence provide a relatively simple method of predicting heat flux. Numerical solutions tend to slightly underestimate predictions from the analytical equation and experimental data, although agreement with the alternative prediction method increases with the surface temperature of the heat receiving body     

Heat conduction in a rock mass with an annular hot water store

Vast subterranean caverns may be used for hot water storage in distinct heating schemes; such caverns can be annular, with a central pillar. This paper considers the quasi-steady solution of the heat conduction equation for this geometry with periodic temperature variations     

Two-phase heat transfer correlation for multi-component mixtures in the saturated flow-boiling regime

Investigations of two-phase heat transfer in the saturated flow-boiling region for multi-component mixtures has led to a proposed new correlation for the heat transfer coefficient where heat transfer of boiling is simply expressed in terms of the boiling number. This correlation was tested against the existing data on forced convective boiling heat transfer reported in the literature, giving satisfactory results; the correlation should, however, be tested further against wider data on convective heat transfer coefficients in multicomponent systems. The present lack of such data should be remedied.     

广义不可逆Braysson热机的性能优化

建立了一个考虑热阻、热漏和内不可逆性且热源和工质之间满足牛顿传热规律的不可逆Braysson热机模型。导出了该模型下输出功率、效率和生态学目标函数的表达式。计算了最大输出功率、最大效率和最大生态学目标函数及它们对应的参数值并通过图来反映它们的变化情况。讨论了热漏、内不可逆性对该热机各种性能参数的影响同时给出了一些重要参数的优化范围。所得结果对实际Braysson热机的优化设计提供了理论依据。     

On the quantum langevin equation

The quantum Langevin equation is the Heisenberg equation of motion for the (operator) coordinate of a Brownian particle coupled to a heat bath. We give an elementary derivation of this equation for a simple coupled-oscillator model of the heat bath.Deceased.     

金属冲击温度的辐射法测量问题

 金属的冲击温度及熔化温度测量对构建其完全状态方程具有重要意义。简要综述了用于金属冲击温度及熔化温度辐射法测量的一维热传导理想界面模型和非理想界面模型,并着重对模型中明示或隐含的关键假定的合理性、影响金属冲击温度与熔化温度结果的主要因素进行了分析、讨论,以期对实验数据有一个合理的评估。还讨论了求解理想和非理想界面模型一维热传导方程界面温度时所隐含的冲击压缩下热导率不随温度而变、冲击压缩下金属样品/窗口界面辐射的灰体假定,以及窗口材料的透明性、非理想界面模型中表观界面温度的修正、动载条件下金属高压熔化温度的测量、界面的非Flourier热传导等问题。分析结果表明,目前采用辐射法测量大致可以得到冲击温度,在发生熔化的情况下可获得熔化温度,但离精密测量的要求还有较大差距。     

垂直上升管内液体横掠流动传热特性研究

本文对单相水和单相油横掠流动时的平均换热特性进行了实验研究,对试验的结果进行了分析和讨论,并对实验数据进行关联,得到了垂直上升管内单相水和单相油横掠流动时的换热准则关系式。结果表明,狭窄空间条件下的液体横掠柱体时的流动换热对液相Re数的依赖,较大空间条件下的流动换热相比明显减小,并对单相水和单相油横掠流动时的换热性能进行了比较。     

纳米悬浮液热导率测量及其预测模型的探讨

纳米颗粒悬浮液具有广泛应用于强化传热的潜在优势。本文采用加入表面活性剂的方法提高纳米悬浮液的悬浮稳定性,并用瞬态热线法测量了热导率。在分析现有理论模型和纳米悬浮液热导率影响因素研究的基础上,从弹性传动和非弹性传动两方面分析了纳米尺度效应导致纳米悬浮液热导率提高的机理。发现已有的理论公式仍然存在一定欠缺,预测值比实验值偏低,有关机理尚有待于深入探讨。