HEAT TRANSFER AND FLUID FLOW IN A NONISOTHERMAL CONSTRAINED VAPOR BUBBLE

A Constrained Vapor Bubble (CVB) with a relatively large Bond number formed by partially underfilling liquid in an evacuated cavity is capable of high thermal conductance. Il operates on the principle of closed loop phase-change along with capillarity to circulate the working fluid. Analytical investigations were conducted to compare with existing experimental data. A steady-state fluid flow model combined with a two-dimensional heat transfer model was developed and solved to yield key operating parameters ( i.e., temperature and liquid meniscus curvature) of the CVB. The modeling results of the outside wall temperature in the evaporator were found to agree well with the measured experimental data. An area average heat transfer coefficient was used to characterize the heat transfer on the inside wall of the evaporator. The value of this heat transfer coefficient was found to increase with the heat flow rate. The fluid flow model with the heat transfer model in the evaporator to provide the energy balance was used successfully to fit the experimental curvature data. The mass flow rate in the bottom corners of the CVB was found to be higher than that in the top corners due to the gravitational body force.     

HEAT TRANSFER AND FLUID FLOW IN A NONISOTHERMAL CONSTRAINED VAPOR BUBBLE

A Constrained Vapor Bubble (CVB) with a relatively large Bond number formed by partially underfilling liquid in an evacuated cavity is capable of high thermal conductance. Il operates on the principle of closed loop phase-change along with capillarity to circulate the working fluid. Analytical investigations were conducted to compare with existing experimental data. A steady-state fluid flow model combined with a two-dimensional heat transfer model was developed and solved to yield key operating parameters ( i.e., temperature and liquid meniscus curvature) of the CVB. The modeling results of the outside wall temperature in the evaporator were found to agree well with the measured experimental data. An area average heat transfer coefficient was used to characterize the heat transfer on the inside wall of the evaporator. The value of this heat transfer coefficient was found to increase with the heat flow rate. The fluid flow model with the heat transfer model in the evaporator to provide the energy balance was used successfully to fit the experimental curvature data. The mass flow rate in the bottom corners of the CVB was found to be higher than that in the top corners due to the gravitational body force.     

DIFFUSION AND MASS TRANSFER IN MICELLAR SYSTEMS

Research on diffusion and mass transfer in micellar systems is reviewed. Models for interfacial transport at liquid/liquid interfaces, solubilization at solid/liquid and at liquid/liquid interfaces, and for detergency are discussed and similarities between these phenomena are elucidated. The literature on diffusion in micellar systems is discussed, especially in the region of the critical micelle concentration where previous investigators have presented results in disagreement with each other. Finally, the mechanism of micellar transport through membranes is also reviewed.     

HEAT TRANSFER IN LOW PRESSURE LITHIUM CONDENSATION

This paper presents the results of an experimental investigation into lithium condensation. The objective of the investigation is to find the condensing side heat transfer coefficients of lithium on the vertical flow configuration and to explain the discrepancy between Nusselt's theory and the experimental results. The heat fluxes in these experiments varied from about 1.3 × 10⁴ W/m² at 833 k to 1.3 × 10⁵ W/m2 at 898 k, giving heat transfer coefficients of 4078 W/m² k to 37805 W/m² k. These values appear 0.3% to 3% of those predicted by the Nusselt theory. Condensate film thickness was calculated by the Nusselt theory. Boiling and condensing of lithium at low, less than atmospheric pressure, appears to be an efficient energy transport mechanism that may find use in space applications or cooling of the first wall in fusion reactors.     

GAS HOLDUP AND HEAT TRANSFER FROM IMMERSED SURFACES IN TWO- AND THREE-PHASE SYSTEMS IN BUBBLE COLUMNS

Two experimental slurry bubble column facilities comprising of 10.8 and 30.5 cm diameter columns and appropriate for conducting hydrodynamic and heat transfer studies are described. The average and local gas holdup data are reported for the air-water system as a function of air velocity. The holdups for the three phases are also reported for the air-water-glass beads system over a range of air velocity values. The air holdup data are compared with the predictions of some of the commonly used correlations. The heat transfer coefficient for a 19 mm diameter cylindrical probe and the two- and three-phase dispersions are measured as a function of air velocity. Most of these hydrodynamic and heat transfer data correspond to the churn turbulent regime and the values obtained on the two columns differ appreciably from each other under similar operating conditions. This fact indicates that the scaleup of slurry bubble columns could be quite difficult on the basis of data obtained on the bench and pilot-plant scale units. The continuing data from these facilities on different systems will shed more light in the future on this important aspect which is crucial to the commercialization of indirect coal liquefaction technology.     

NONSIMILAR SOLUTIONS FOR HEAT TRANSFER IN WALL JET FLOWS

An analysis is presented to investigate the flow and heat transfer characteristics of a laminar plane wall jet with non-isothermal wall as well as uniform suction and blowing at the surface and a laminar cylindrical wall jet. The approach used is local nonsimilarity method, wherein, the nonsimilanty terms appearing in the momentum and energy equations are retained and simplifications are introduced only in the auxiliary system of equations. To insure the accuracy of the results, solutions are obtained for three levels of truncation of the governing equations. For the case of plane wall jet problem, both a series solution as well as local nonsimilarity solution have been given and the agreement between the two is found to be very good. For the cylindrical wall jet problem, the results obtained by the local nonsimilarity approach in the present paper have been compared with the series solution results. Numerical results for the wall shear stress, velocity distribution, wall heat transfer rate and temperature field are presented.     

石墨化电炉传热学模型研究

在分析了炉子电热特性的基础上建立了石墨化炉传热数学模型。应用传热学知识，得到炉内导热方程式，并利用数理方程和傅立叶级数代换，推导出炉内温度分布方程式，并借助于计算机绘制出相关要素的变化曲线。通过分析该变化曲线，对石墨化炉供电制度提出了合理建议。     

CONJUGATE HEAT TRANSFER WITH TURBULENT FLOW IN A CIRCULAR TUBE

A steady heat transfer problem has been analyzed as a conjugate problem with turbulent flow in a circular tube. The three kinds of thermal boundary conditions considered here are specified as constant temperature, constant heat flux and constant heat transfer coefficient at the outer surface of the wall.

From the results of numerical calculation for Prandtl numbers in the range 0.01 ≤ Pr ≤ 10 and for Reynolds numbers in the range 10⁴ ≤ Re ≤ 10⁵, it was confirmed that the dimensionless parameter R_c could have significant effects on the heat transfer and the temperature field in the fluid adjacent to the wall.     

DISPERSED FLOW HEAT TRANSFER IN CIRCULAR BENDS

This paper presents an experimental study of dispersed flow heat transfer in 90-degree circular bends. From extensive measurements, two different heat transfer patterns are identified, i.e. heat transfer without and with rewetting. Their intrinsic mechanisms are analysed, based on the present experimental evidence and our previous theoretical studies. Effects of mass flow rate, wall heat flux, system pressure and curvature ratio on heat transfer are also investigated. An empirical criterion is developed to identify the heat transfer pattern in the bend.     

DISPERSED FLOW HEAT TRANSFER IN CIRCULAR BENDS

This paper presents an experimental study of dispersed flow heat transfer in 90-degree circular bends. From extensive measurements, two different heat transfer patterns are identified, i.e. heat transfer without and with rewetting. Their intrinsic mechanisms are analysed, based on the present experimental evidence and our previous theoretical studies. Effects of mass flow rate, wall heat flux, system pressure and curvature ratio on heat transfer are also investigated. An empirical criterion is developed to identify the heat transfer pattern in the bend.     

CONJUGATED HEAT TRANSFER IN COCURRENT FLOW MULTI-STREAM HEAT EXCHANGERS

Considering the cross-sectional velocity profile to be piecewise-constant in each stream of a multi-stream heat exchanger for cocurrent thermally developing flow, this study analytically solves the related conjugated Graetz problem by using an integral transform method. Further, it obtains an analytical solution in an explicit form to the fluid temperatures that vary two-dimensionally. A numerical example is provided for the case of a triple-tube heat exchanger. The numerical results demonstrate the effects of the thermal conductivity ratios of the fluids and the Péclet number ratios on the temperature distribution in the streams. In addition, in order to show the importance of considering streamwise variations in the overall heat transfer coefficients when designing laminar flow heat exchangers, the amount of exchanged heat calculated by the presented analytical solution is compared with that predicted on the basis of bulk temperatures and constant overall heat transfer coefficients.     

HEAT TRANSFER IN THREE-PHASE FLUIDIZED BEDS WITH NON-NEWTONIAN PSEUDOPLASTIC SOLUTIONS

Heat transfer experiments have been conducted in three-phase fluidized beds (TPFB) of 3 and 5 mm glass spheres. To assess the effect of non-Newtonian flow behavior, concentrated pseudoplastic xanthan solutions were employed. The gas and liquid superficial velocities range from 0.81 to 14.4 cm/s and 1.27 to 9.0 cm/s respectively. The impact of these parameters as well as the effect of the effective liquid viscosity, and the solid size on heat transfer in TPFB are discussed. All heat transfer coefficients can be discribed satisfactorily by a new correlation which predicts the Nu-values in TPFB with pseudoplastic solutions with ±9.13% average standard deviation.     

A THEORETICAL STUDY OF THE LIMITING HEAT TRANSFER COEFFICIENT IN FLUIDIZED BEDS

A new model is presented to describe the heat transfer process occurring in fluidized beds under the limiting condition of very short contact times between the heat transfer surface and the emulsion phase. Unlike other work in this area the proposed model assumes that the particles are in constant motion close to the surface throughout the heat transfer process. The effect of the non-continuum gas film assumption (the Smoluchowski effect) when particles are very close to the surface is found to be of secondary importance when compared with the movement of particles close to the surface. Expressions for both the instantaneous and time averaged heat transfer coefficients for individual and a spatial distribution of parlicles are presented.     

HEAT AND MASS TRANSFER IN THE ADSORBENT BED OF AN ADSORPTION HEAT PUMP

The heat and mass transfer equations governing an adsorbent bed in an adsorption heat pump and the mass balance equation for the adsorbent particles in the adsorbent bed were solved numerically to simulate the cycle of a basic adsorption heat pump, which includes isobaric adsorption, isosteric heating, isobaric desorption, and isosteric cooling processes. The finite difference method was used to solve the set of governing equations, which are highly nonlinear and coupled. The pressures of the evaporator and condenser were 2 and 20 kPa, respectively, and the regeneration temperature of the bed was 403 K. Changes in the temperature, adsorptive pressure, and adsorbate concentration in the adsorbent bed at different steps of the cycle were determined. The basic simulated cycle is presented in a Clausius-Clapeyron diagram, which illustrates the changes in average pressure and temperature of the adsorbent bed throughout the cycle. The results of the simulation indicated that the most time-consuming processes in the adsorption heat pump cycle were isobaric adsorption and isobaric desorption. The high thermal resistance of the bed slows down heat transfer, prolonging adsorption and desorption processes.     

INTENSIFICATION OF HEAT AND MASS TRANSFER IN CHANNELS OF PLATE CONDENSERS

An analysis is presented for the main factors which control the intensity of vapor condensation in plate condenser channels, such as heat transfer both in single-phase stream of the coolant and in the condensate film, heat and mass transfer in gas-vapor phase, thermal resistance of fouling at heat transfer surface and pressure drop in condensing stream. On the basis of a relationship between the heat transfer and the wall shear stress, an approximate equation is obtained for calculating heat transfer from the pressure drop data. For calculation of heat transfer in condensate film during the condensation of high speed vapor, an analogy between heat and momentum transport has been used. An analysis of fouling deposition on heat transfer surface has been performed and an equation is presented for calculating the reduction of the fouling thermal resistance as compared with shell and lube heat exchangers. Experimental data are in good agreement with theoretical results. These data have shown the improvement of all the mentioned factors, which determine the intensity of the whole condensation process compared to the same factors in shell and tube condensers. Under the equal conditions, the required area of the heat transfer surface is reduced by 1.6 to 3 limes for the plate condenser, as compared with conventional shell and tube units.     

ANALYSIS OF HEAT TRANSFER IN A NON-ISOTHERMAL SOLID-GAS REACTING MEDIUM

This article concerns the thermal phenomena occurring in a reacting solid-gas porous medium. The practical application envisaged is the use of these media in chemical heat pumps (CHPs).

The procedure chosen allowed us to almost totally separate the determination of the kinetic characteristics of the medium, presented in the previous article, from the study of the thermal phenomena presented here.

The thermal parameters were estimated or identified, depending on their influence, quite satisfactorily.

Moreover, we show that it is possible to exploit more limited experimental data, by modifying the procedure, to obtain a sufficiently good understanding of the reacting medium. This technique was applied in the study of the effect of mixing a conducting binder with the medium on its thermal parameters.

This model is also used to test configurations having different thicknesses of the reacting bed.     

INTENSIFICATION OF HEAT AND MASS TRANSFER IN CHANNELS OF PLATE CONDENSERS

An analysis is presented for the main factors which control the intensity of vapor condensation in plate condenser channels, such as heat transfer both in single-phase stream of the coolant and in the condensate film, heat and mass transfer in gas-vapor phase, thermal resistance of fouling at heat transfer surface and pressure drop in condensing stream. On the basis of a relationship between the heat transfer and the wall shear stress, an approximate equation is obtained for calculating heat transfer from the pressure drop data. For calculation of heat transfer in condensate film during the condensation of high speed vapor, an analogy between heat and momentum transport has been used. An analysis of fouling deposition on heat transfer surface has been performed and an equation is presented for calculating the reduction of the fouling thermal resistance as compared with shell and lube heat exchangers. Experimental data are in good agreement with theoretical results. These data have shown the improvement of all the mentioned factors, which determine the intensity of the whole condensation process compared to the same factors in shell and tube condensers. Under the equal conditions, the required area of the heat transfer surface is reduced by 1.6 to 3 limes for the plate condenser, as compared with conventional shell and tube units.     

APPLICATION OF THEORETICAL MODELS TO THE ESTIMATE OF M1CROEMULSIONS PROPERTIES PART I TERNARY SYSTEMS

A model has been developed which adequately describes the phase behavior of alcohol in an oil phase. The model has been also extended to quaternary systems containing a surfactant component.     

ANALYTICAL STUDY OF HEAT TRANSFER TO LAMINAR FLOW OF NON-NEWTONIAN FLUIDS IN ANNULUS

An analytical study is made of the problem of laminar flow heat transfer to pseudoplastic fluids in a concentric circular tube annulus. The solution is obtained for simultaneously developing velocity and temperature profiles and constant wall heat flux. Constant property results are presented for different values of flow behavior index, n, and several inner to outer tube radius ratios and Prandtl numbers. Variable property solutions, with strongly temperature-dependent consistency index are obtained. The effect of viscous dissipation on the results of heat transfer is also presented.     

APPLICATION OF THEORETICAL MODELS TO THE ESTIMATE OF M1CROEMULSIONS PROPERTIES PART I TERNARY SYSTEMS

A model has been developed which adequately describes the phase behavior of alcohol in an oil phase. The model has been also extended to quaternary systems containing a surfactant component.