Effect of particle loading on heat transfer enhancement in a gas-solid suspension cross flow

Heat transfer between gas-solid multiphase flow and tubes occurs in many industry processes, such as circulating fluidized bed process, pneumatic conveying process, chemical process, drying process, etc. (This paper focuses on the influence of the presence of particles on the heat transfer between a tube and gas-solid sus-pension. The presence of particles causes positive enhancement of heat transfer in the case of high solid loading ratio, but heat transfer reduction has been found for in the case of very low soliding ratio (Ms of less than 0.05 kg/kg). A usefial correlation ineorpomting solid lolling ratio, particle size and flow Reytmlds number was derived from experimental data. In addition, the κ-ε two-equation model and the Fluctuation-Spectrum-Random-Trajectory Model (FSRT Model) are used to simulate the flow field and heat transit of the gas-phase and the solid-phase, respectively. Through coupling of the two phases the model can predict the local and total heat transfer characteristics of tube in gas-solid cross flow. For the total heat transfer enhancement due to particles loading the model predictions agreed well wih experimental data.     

Numerical modeling of Jinlong CJD burner copper flash smelting furnace

Fluid flow, heat transfer and combustion in Jinlong CJD concentrate burner flash smelting furnace have been investigated by numerical modeling and flow visualization. The modeling is based on the Eulerian approach for the gas flow equations and the Lagrangian approach for the particles. Interaction between the gas phase and particle phase, such as frictional forces, heat and mass transfer, are included by the addition of sources and sinks. The modeling results including the fluid flow field, temperature field, concentration field of gas phase and the trajectories of particles have been obtained. The predicted results are in good agreement with the data obtained from a series of experiments and tests in the Jinlong Copper Smelter and the temperature error is less than 20 K.     

Some effects of interface on fluid flow and heat transfer on micro- and nanoscale

The interfacial effects on flow and heat transfer on micro/nano scale are discussed in this paper. Different from bulk cases where interfaces can be simply treated as a boundary, the interfacial effects are not limited to the interface on a microscale but could extend into a significant, even the whole domain of the flow and heat transfer field when the characteristic size of the domain is close to the mean free path （MFP） of the carriers inside an object. Most of microscale thermal phenomena result from interfacial interactions. Any changes in the interactions between the object and boundary particles, such as the force between fluid and solid wall particles, microstructure of interfaces, could affect thermal properties, flow and heat transfer characteristics and hence change thermal conductivity, velocity and temperature profiles, friction coefficient and thermal radiative properties, etc. The properties of nanostructure or flow and heat transfer features of fluid in micro/nanostructures not only depend on themselves, but also on the interaction with the interface because the interface impact can go deep inside the flow. The same fluid, same channel geometry but different wall materials could have different flow and heat transport characteristics on microscale.     

Mixed convection around a heated vertical cylinder embedded in porous medium

Numerical simulation has been performed to investigate the combined effects of wake flow pattern and buoyancy on the characteristics of the flow and heat transfer for the mixed convective flow around a vertical cylinder embedded in porous medium. Three-dimensional Darcy's equations are solved. The discretization procedure for the governing equations is based on the finite-volume method. Peclect number and Rayleigh number are two major independent parameters representing the effects of the flow and heat transfer, respectively. The flow pattern, temperature distribution, and Nusselt number distribution are investigated in wide ranges of these independent parameters. Correlation results for the onset of the secondary flow and enhancement of the heat transfer are presented and discussed.     

Hydrodynamics and heat transfer of gas-solid two-phase mixtures flowing through packed beds–a review

Flow of a gas-solid two-phase mixture through a packed bed is relevant to a number of industrial processes such as heat recovery and filtration of dusty flue gases, iron making in shaft reactors, gas purification, and sorption enhanced reaction processes. In spite of the industrial relevance, little work has been reported in the literature. The limited amount of research work has mainly addressed the mac- roscopic hydrodynamics in terms of pressure drop and solids hold-ups at the ambient temperature. Very little is done, until fairly recent, on solids motion at the single particle level, hydrodynamics at elevated temperatures and heat transfer. This paper reviews the recent development in the field including both the hydrodynamics and heat transfer of gas-solid two-phase mixtures flowing through packed beds, which is believed to represent the state-of-the-art in the field. The review is not aimed to be exhaustive but rather focused on our own work carried out over the past few years in the Institute of Particle Science ＆ Engineering at the University of Leeds. And some of our results are compared with that of other groups.     

Constructal entransy dissipation rate minimization for heat conduction based on a tapered element

Based on constructal theory,the structure of a tapered element and high-conductivity link is optimized by taking the minimization of the entransy dissipation rate as the optimization objective.The results show that the mean temperature difference of the heat transfer cannot always decrease when the internal complexity of the control-volume increases.There exists an optimal constructal order leading to the minimum mean temperature difference for heat transfer.The thermal current density in high-conductivity links with variable shapes does not linearly depend on the length.Therefore,the optimized constructs based on the minimization of the entransy dissipation rate are different from those based on the minimization of the maximum temperature difference.Compared with the construct based on the minimization of the maximum temperature difference,the construct based on the minimization of the entransy dissipation rate can reduce the mean temperature difference,and improve the heat transfer performance significantly.Because entransy describes the heat transfer ability more suitably,various constructal problems in heat conduction may be addressed more effectively using this basis.     

Heat transfer characteristics of bio-materials irradiated by pulsed-laser

The dynamic temperature variation of bio-materials induced by pulsed-laser irradiation is determined by a rapid transient temperature measuring system. The heat transfer characteristics of bio-materials, and the influence of pulse duration, power density, thickness and initial moisture content of bio-materials on heat transfer are studied. Based on the experiments, a mathematical model of bioheat transfer is set up. Numerical simulation results show that the calculated results agree well with the experimental results, and bioheat transfer characteristics irradiated by pulsed-laser can be displayed well. Valuable information and experiences are provided for further experimental and theoretical investigation.     

Engineering acid dew temperature: the limitation for flue gas heat recovery

In order to study how deep we can reduce the temperature of exhaust flue gas, an experiment focusing on the combined influence of ash deposition and acid condensation on the heat transfer characteristics of the heat exchanger was carried out in a 300-MW boiler unit. An annular tube was inserted into the flue gas duct between the air preheater and the electrostatic precipitator. The water with given temperature firstly entered the inner tube and then flowed into the outer tube at the end of the inner tube. It is found that heat transfer performance drops sharply at fixed temperature range under given coal quality. The turning temperature is defined as the engineering acid dew temperature （EADT）. When the inlet water temperature is under the EADT, ash sticks to the tube and is difficult to blow off, and thus the flow resistance rises. Furthermore, the corrosion can be observed obviously. From the point of economy and reliability, EADT is the limitation for flue gas heat recovery. The EADT is at least 30 ℃ lower than ADT calculated by traditional empirical and theoretical equations.     

Constructal optimization on T-shaped cavity based on entransy dissipation minimization

The entransy dissipation extremum principle provides new warranty and criterion for optimization of heat transfer. For a heat transfer model of a rectangular solid wall with an open T-shaped cavity, a dimensionless equivalent thermal resistance based on entransy dissipation is taken as optimization objective, and constructal optimization for the model is carried out when the system volume, the cavity volume and the volume of rectangle occupied by T-shaped cavity are fixed. Numerical results indicate that the optimal geometry construct of cavity can be schemed out based on entransy dissipation extremum principle. The formulation of dimensionless global （maximum） thermal resistance presented in a literature is modified; some new rules which are different from those reported in the literature are obtained based on the minimization of the modified objective. Comparisons of the numerical results show that the optimal system constructs deduced respectively from the two thermal resistance objectives are very different. The optimization by taking equivalent thermal resistance minimization as objective can more effectively reduce mean temperature difference of heat transfer than the optimization by taking maximum thermal resistance minimization as objective, so that the performance of heat transfer for the total system can be improved. The more freedom the cavity has, the better the total system performance is. The correlations of the equivalent thermal resistance and the maximum thermal resistance of the system and three geometric degrees of freedom are found by using function fitting.     

Acetone hydrogenation in exothermic reactor of an isopropanol–acetone–hydrogen chemical heat pump: effect of intra-particle mass and heat transfer

Intra-particle mass and heat transfer plays an important role in performance of the exothermic fixed-bed reactor for an isopropanol-acetone-hydrogen chemical heat pump. In this work, an exothermic fixed-bed reactor model, taking into account the actual packing structure, is established in the commercial software Fluent. A 120° segment of a tube with tube-to-particle diameter ratio （n） of 4, where realistic particles are packed and set to porous media, is used to simulate the 3D external flow, concen- tration and temperature fields in the exothermic packed-bed reactor. The influence of catalyst particle diameter （dp） and micropore diameter （do） on the intra-particle temperature, species distribution, reaction rate and selectivity is dis- cussed. The appropriate dp and do are obtained. Simulation results showed that intra-particle temperature gradient is not obvious. Large dp and small do lead to remarkable gradient of reaction rate inside the catalyst particle and the decrease in the catalyst efficiency and reduce the acetone conversion and the selectivity in isopropanol. The optimal results reveal that the spherical catalyst with dp of 1 mm and dpore of 10 nm is appropriate for high-temperature acetone hydrogenation.     

Solid fraction evolution characteristics of semi-solid A356 alloy and in-situ A356–TiB_2 composites investigated by differential thermal analysis

The key factor in semi-solid metal processing is the solid fraction at the forming temperature because it affects the microstructure and mechanical properties of the thixoformed components. Though an enormous amount of data exists on the solid fraction–temperature relationship in A356 alloy, information regarding the solid fraction evolution characteristics of A356-TiB2 composites is scarce. The present article establishes the temperature-solid fraction correlation in A356 alloy and A356-x TiB2(x = 2.5wt% and 5wt%) composites using differential thermal analysis(DTA). The DTA results indicate that the solidification characteristics of the composites exhibited a variation of 2°C and 3°C in liquidus temperatures and a variation of 3°C and 5°C in solidus temperatures with respect to the base alloy. Moreover, the eutectic growth temperature and the solid fraction(fs) vs. temperature characteristics of the composites were found to be higher than those of the base alloy. The investigation revealed that in-situ formed TiB2 particles in the molten metal introduced more nucleation sites and reduced undercooling.     

Constructal entransy dissipation rate minimization for a heat generating volume cooled by forced convection

The geometry of a heat generating volume cooled by forced convection is optimized by applying the entransy dissipation extremum principle and constructal theory, while the optimal spacing between the adjacent tubes and the optimal diameter of each tube are obtained based on entransy dissipation rate minimization. The results of this work show that the optimal constructs based on entransy dissipation rate minimization and maximum temperature difference minimization, respectively, are clearly different. For the former, the porosity of the volume of channels allocated to the heat generating volume is 1/2; while for the latter, the larger the porosity is, the better the performance will be. The optimal construct of the former greatly decreases the mean thermal resistance and improves the global heat transfer performance of the system compared with the optimal construct of the latter. This is identical to the essential requirement of the entransy dissipation extremum principle that the required heat transfer temperature difference is minimal with the same heat transfer rate (the given amount of heat generated in the heat generating volume) based on the entransy dissipation extremum principle.     

Theoretical analysis of a method for segmented heat exchanger design

In the process of the design of heat exchangers,it is difficult to establish the factors governing the optimal points of the design objective functions due to the contradictions and uncertainties of the design objectives.The variation of fluid properties is one of the main factors causing this type of uncertainty.Conventional design methods have not completely solved these problems.In the present work,based on the logarithmic mean temperature difference,a new heat exchanger design method(called the segmented design method) is proposed which takes into account the variation of fluid properties with respect to the temperature.In this method,the whole heat exchanger is first divided into several segments.Then by applying the principle of the conservation of energy and taking into account the initial conditions as well as the connecting conditions of the adjacent segments,the inlet and outlet temperatures of each segment are determined.Finally,the application of the logarithmic mean temperature difference method on each segment defines the heat transfer area.     

Direct numerical simulation on the particle flow in the wake of circular cylinder

The spectral-element approach is used to simulate the gas-solid two-phase flow behind of the circular cylinder. Based on the method of a high accuracy calculation for the gas phase flow, the particle dynamic field is put into practice. Two key influence factors, Stokes number and Reynolds number, are investigated. The simulation results give a clear pattern of the physical characteristics of gas-particle flow. Due to the construction properties of the eddies in the wake of the circular cylinder, the suction is the main dispersion mechanism of particles near to the centric axis. This effect can make the small particle sucted to the near wake of the circular cylinder. The particle dispersion is also induced by the pressure gradient which is caused by the strong velocity gradient of gas phase.     

Thermal physical properties and key influence factors of phase change emulsion

Latent functionally thermal fluids (LFTF) are a novel kind of heat storage and heat transfer fluids that include phase change microcapsule slurry and phase change emulsion (PCE). They have much greater apparent specific heats and higher heat transfer abilities in the phase change temperature range than conventional single-phase heat transfer fluids such as water. Thus they are advantageous in the field of the convective heat transfer enhancement and energy transport. In this paper, some thermal physical properties such as viscosity, fusion heat and apparent specific heat (Cp) are measured, and the influences of some factors (such as selection of surfactants, preparation method, temperature, mixing ratio of surfactants and mass concentration of phase change material) on them are discussed. The study shows that: 1) the viscosity of the PCE prepared in the present work is lower than that reported in the literature; 2) its apparent specific heat value for the phase change temperatu reregion is high and proportionally increases with the concentration of phase change material.     

Acid condensation and heat transfer characteristics on H-type fin surface with bleeding dimples and longitudinal vortex generators

Acid condensation rate is an important factor denoting the acid corrosion, and the reduction of the acid condensation can significantly relieve the acid corrosive effect on the wall surface and improve the security of the equipments. In this study, the characteristics of both heat transfer and acid condensation of the finned tube in heat exchanger were numerically studied. In the numerical model, we simulated the acid condensation by considering the vapor-liquid equilibrium effect and multi-component diffusion effect. Based on the H-type finned oval tube, we proposed three novel types of fins to both enhance the heat transfer and reduce the acid condensation. The parametric effects of gas temperature, acid vapor concentration, water vapor concentration, and Reynolds number were investi- gated on different fin structures. The results show that the tube bank with the new structured fins can improve the performance on both heat transfer and acid anticondensation.     

The "Point" and "Volume" Fusion Behaviour of Prefused Type Powder Fluxes''''

The relationship among particle size, properties of heat transfer and melting rate of fluxes as well as the main factors which have effect on the prefused fluxes have been studied. Under the conditions of same components and particle size, the melting temperature of prefused fluxes is lower than that of mixed fluxes. With the decreasing of particle size, the difference of melting temperature between the two type of fluxes decreases also. The larger the particle size, the greater the melting rate of prefused type fluxes.     

Simulation of sub-micron particle formation and growth during combustion processes

Sub-micron particle formation and growth during combustion processes is very complex because of its strong uncertainty and randomness. A model to simulate the sub-micron particle formation and growth during the combustion process is developed based on the gas kinetic theory and is expressed by the vapor concentration changes and particle loading changes, which reflects effect characteristics of different mechanism (nucleation, condensation and coagulation) in particle formation processes. The developed characteristic time is used to token the three mechanisms. It is thought that environmental temperature and pressure, vapor temperature and critical pressure are important factors influencing the sub-micron particle formation and growth. The sub-micron particle formation processes under different conditions are studied and the effect characteristics of these mechanisms are analyzed, which show that the nucleation, condensation,and coagulation occur simultaneously during the sub-micron particle formation and growth process. Nucleation contributes to the sub-micron particle formation, while condensation and coagulation is helpful to the growth of the particle size.     

A Revised CFB Wall-to-suspension Heat Transfer Model

Based on the Cluster Renewal Model of the particle motion in a CFB riser, a revised heat transfer model is developed, which introduces the latest research results of the hydrodynamics of the suspension flow in CFB. This model divides the heat transfer into two parts, which are due to the transient heat conduction by the covered clusters and the convection between the uncovered wall and the dispersed phase. Radiation at high temperature is regarded as being additive. The fraction of the covered wall by clusters is revised by a new formula, which is a function of the operating condition and the particle properties. The radiation between the dispersed phase and the uncovered wall includes not only the direct radiation to the uncovered wall, but also the radiation to the clusters and then reflected to the uncovered wall. Calculation was carried out for the CFB heat transfer model. The results were compared with the published typical experimental data of other researchers and showed a good agreement between them.     

Large eddy simulation of a particle—laden turbulent plane jet

Gas-solid two-phase turbulent plane jet is applied to many natural situations and in engineering systems.To predict the particle dispersion in the gas jet is of great importance in industrial applications and in the designing of engineering systems.A large eddy simulation of the two-phase plane jet eas conducted to in-vestigate the particle dispersion patterns.The particles with Stokes numbers equal to 0.0028,0.3,2.5,28(corresponding to particle diamster 1μm,10μm,30μm,100μm,respectively)in Re=11300 gas flow were strudied.The simulation results of gas phase motion agreed well with previous experimental results.And the simulation results of the solid particles motion showed that particles with different Stokes number have dif-ferent spatial dispersion;and that particles with intermediate Stokes number have the largest dispersion ratio.