Heat and mass transfer from cylinders to a turbulent fluid stream — A critical review

A review is made of recent experimental and theoretical work on the transfer of heat and mass between a circular cylinder and a turbulent fluid stream in cross flow. Special attention has been given to the transport mechanism over the wake region and the different approaches used to model it. The overall and boundary layer transport characteristics are briefly discussed. The review is limited to investigations under subcritical flow conditions over the Reynolds number range from 10³ to 10⁵.     

Heat and mass transfer in non-newtonian fluid flow with power function velocity profiles

Heat and mass transfer in laminar and turbulent non-Newtonian fluids is investigated in this work using the power function velocity profiles. Analytical solutions are presented for cases of mass transfer in laminar non-Newtonian fluid flows, namely for a flat velocity profile (plug flow), for the case of a constant velocity gradient at the solid boundary (Couette flow), and for the velocity distribution within a laminar boundary layer on a flat plate, and these are illustrated by rotating disks and cylinders in laminar Ostwald-de Waele fluids. Further, turbulent mass transfer processes (tubular flow, rotating disk, and rotating cylinder) in non-Newtonian fluids (Ostwald-de Waele fluid and drag-reducing fluid) at low and large Schmidt numbers are also discussed using the solutions of mass transfer in flows with power function velocity profiles. Reasonable agreement is found between the predictions of this work and the available experimental data and correlations.     

Modeling of turbulent cross flow microfiltration of pomegranate juice using hollow fiber membranes

A mathematical analysis of the permeate flux decline during microfiltration of fruit juice with hollow fibers under turbulent flow is presented. Impact of complex fluid flow phenomena on mass transfer is analyzed. A comprehensive analytical model for developing concentration boundary layer was formulated from first principles using integral method. Attempts to model the system considering constant boundary layer thickness (film theory) is inaccurate for developing boundary layer. Gel resistance parameter depending on juice characteristics has significant impact on permeate flux. Specific gel layer concentration has insignificant effect on system performance under total recycle mode but important for batch mode. Theoretical results were compared with experiments in clarification of pomegranate juice with poly(ether ether ketone) and polysulfone hollow fiber membranes. The physical parameters of complex mixture were evaluated by optimizing of the flux profiles in total recycle mode of operation and were successfully applied for prediction of batch mode performance. © 2014 American Institute of Chemical Engineers AIChE J 60: 4279–4291, 2014     

A multidimensional model for annular gas-liquid flow

A finite volume method-based CFD model has been developed to simulate steady, turbulent, two-dimensional annular gas-liquid flow in a duct. The gas flow is treated as being equivalent to flow through a rough-walled duct. The effect of the liquid film on the gas phase is included in the form of modified wall functions which incorporate the well-known triangular relationship (Annular Two-Phase Flow, Pergamon Press, Oxford, 1970) that exists among wall shear stress, film flow rate and film thickness in annular flow. The presence of droplets is accounted for by solving an additional scalar transport equation for the mass fraction of the droplets. Entrainment and deposition of droplets are included as source term and boundary condition, respectively, in the mass fraction equation. It is shown that the resulting model, while retaining simplicity of formulation, gives good predictions of the literature data of annular flow parameters under equilibrium and non-equilibrium conditions.     

Electrochemical mass transfer measurements in a Y‐bifurcation model

A novel technique was used to fabricate nickel flow models of a straight pipe and a Y‐bifurcation. These were used to obtain integral mass transfer coefficients by the electrochemical technique. For the straight pipe, good agreement was obtained with previously reported mass transfer correlations. The use of an upstream anode in addition to the downstream anode led to higher mass transfer at the cathode with laminar flow because of the additional near‐wall ions produced by the upstream anode. With increasing Schmidt number, the effect of transition from laminar to turbulent flow on mass transfer was delayed to progressively higher Reynolds numbers because of the reduced mass transfer boundary layer thickness relative to the viscous sublayer. With the Y‐bifurcation, possible flow separation and the formation of a new mass transfer boundary layer in the daughter branches significantly influence the mass transfer behaviour.     

On turbulent pipe flow with heat transfer and chemical reaction

A theoretical model has been developed to describe heat transfer to a fluid which is flowing turbulently in a pipe and within which a first-order endothermic irreversible chemical reaction is taking place. It is based on the penetration model for the fluid boundary layer close to the pipe wall and enables the calculation of the effect of chemical reaction on the heat transfer coefficient of turbulent pipe flow.The model has been checked against experimental results for flow distribution and heat transfer in turbulent pipe flow without chemical reaction. Good agreement between the calculated and experimental results was found. The measured heat transfer coefficients for turbulent pipe flow with a uniformly distributed heat source within the fluid were also well predicted. Unfortunately no accurate experimental data on the effect of a first-order chemical reaction on the heat transfer coefficient of turbulent pipe flow are available. However, calculations made with the model show that this effect can be considerable and thus may not always be neglected in practice.     

UV Disinfection of E. coli Between Concentric Cylinders: Effects of the Boundary Layer and a Wavy Wall

UV inactivation of E. coli in a plug flow reactor between concentric cylinders was investigated. The concentration boundary layer thickness was computed for laminar, turbulent and Taylor-Couette flow in terms of the respective mass transfer Sherwood number. It is demonstrated that the concentration boundary layer is thin and that the mass transfer coefficient is large and comparable in size for both turbulent and laminar Taylor-Couette flow in contrast to laminar flow. Computation of the fluence distribution for each flow pattern indicate that turbulent and especially Taylor-Couette flow subject E. coli to an equal flux of photons corresponding to ideal plug flow. However, experiments with turbulent flow that require large axial velocities indicate that very long reactor lengths are necessary to inactivate E. coli. Finally, rotor wavy wall modifications are explored to increase the inactivation of microorganisms in Taylor-Couette flow.     

Etude numérique de l'évaporation dans un courant d'air humide laminaire et turbulent d'un film d'eau ruisselant sur une plaque inclinée

The authors have proposed an appropriate model based on the liquid film transfer equations which are one‐dimensional, partially two‐dimensional and two‐dimensional. They have compared their results with those of other works and studied the influence of the liquid mass flow rate and the inclined angle. They have shown that the interracial heat transfer is dominated by the latent heat transfer; the contribution of the sensible heat is only important in the turbulent region where the interfacial temperature and the evaporating mass flux are practically constant and the thickness of the liquid film is uniform. For the adiabatic plate, the liquid mass flow rate and the inclined angle have no influence on the transfers. For the isothermal or the heated plate, the liquid mass flow rate essentially influences the turbulent region by reducing the interrfacial temperature and the heat and mass transfer coefficients. However, the inclination angle affects mainly the laminar region by increasing the interfacial velocity, reducing the film thickness and has little effects on the transfer coefficients.     

竖直窄矩形通道内环状流的流动传热特性

为了研究竖直窄矩形通道内环状流的流动传热特性,建立了窄矩形通道内环状流的数学物理模型,并进行了实验验证。通过数值求解环状流的数学物理模型得到了环状流区域的压降梯度、沸腾传热系数和液膜内的速度分布。结果表明窄矩形通道内的环状流模型能够很好地预测环状流区域的压降梯度和沸腾传热系数,而且环状流液膜内速度在法向的分布是非线性的,在层流边界层区速度梯度较大。热通量和窄矩形通道的尺寸对液膜的流速有很大影响,随热通量的增加和窄矩形通道尺寸的减小液膜的流速逐渐增加,然而质量流速对液膜流速的影响较小,而且随质量流速的增加液膜的速度逐渐减小。     

SIMULATED DEHYDRATION OF WEDGE-SHAPED SPECIMENS IN TURBULENT FLOW OF SUPERHEATED STEAM AND AIR

Numerical methods were used to study the effectiveness of superheated steam, humid air and dry air as dehydrating media in turbulent flow for the drying of wedge-shaped specimens. The Couette flow assumption was used to formulate the coupled heat and mass transfer in the turbulent boundary layer. Superheated steam was found to have highest evaporation rates at free stream temperatures above the inversion point.     

强制气流作用下溶液蒸发过程的传质规律

针对强制气流作用下溶液的蒸发过程,在分析气液相间力学特性的基础上,根据Levich涡流衰减理论和边界层理论,将气流流动状态与相间传质结合,研究了湍流气流横掠液面过程中气液相间的传质变化规律,分析了雷诺数、气流流道结构及普朗特混合长度对传质的影响,得到了气液相间的湍流质扩散系数的变化规律,湍流气流横掠液面条件下的对流传质准则数Sh=0.221Sc1/3Rex1/2. 结果表明,湍流扩散系数、传质系数与气流的流动状态密切相关,气流流道结构对气液相间的传质有重要影响.     

SIMULATED DEHYDRATION OF WEDGE-SHAPED SPECIMENS IN TURBULENT FLOW OF SUPERHEATED STEAM AND AIR

Numerical methods were used to study the effectiveness of superheated steam, humid air and dry air as dehydrating media in turbulent flow for the drying of wedge-shaped specimens. The Couette flow assumption was used to formulate the coupled heat and mass transfer in the turbulent boundary layer. Superheated steam was found to have highest evaporation rates at free stream temperatures above the inversion point.     

On the electrochemical flow measurements using carbon-based screen-printed electrodiffusion probes

In this article, we have studied the possibility of using carbon-based screen-printed probes for electrochemical flow and mass flux measurements. Such probes have, up to now, been mainly used as biosensors to study in vivo reactions. Our study shows that screen-printed sensors allow the measurement of mass flux and mean wallp shear stress with good accuracy and high reproducibility. The existence of a micro-porous layer covering the surface of screen-printed electrodes has been revealed by means of the impedance measurements and has been confirmed by Scanning Electron Microscopy. This layer influences the statistical characteristics of the turbulent limiting diffusion current and should be taken into account as an additional transfer function between the current and the velocity fluctuations. The use of screen-printed sensors opens new possibilities in the field of electrochemical flow diagnostics. The advantage of this new manufacturing technology lies in the possibility of serial mass production at very competitive prices (disposable sensors) combined with the possibility of the manufacture of segmented electrodes or matrix of electrodes. These new possibilities can be used for various industrial applications as well as for scientific studies on near-wall turbulent mass transfer. Furthermore, it is possible to envisage the development of a hybrid sensor (electrodiffusional/biochemical) allowing the study of in situ biochemical reactions in a flow.     

硅橡胶复合膜用于渗透蒸发的膜传质动力学(Ⅰ)膜面上的对流传质

利用自制的硅橡胶平板复合膜对低浓度乙醇水溶液进行渗透蒸发分离乙醇实验 ,研究了过程的传质动力学。基于液 -膜的串联传质阻力模型 ,通过实验测定了膜的总传质系数 ,采用对比差值方法将总传质系数拆分为膜面上的液膜传质系数和膜内的扩散传质系数两部分 ,分析了液相边界层阻力和膜扩散阻力对总传质系数的影响。特别针对膜面上液体流动状况对膜传质的影响进行了探讨 ,得出了液膜传质系数与Reynolds数及温度的关联式。     

Two layer heat transfer model for supercritical fluid flow in a vertical tube

Experimental heat transfer data in a supercritical vertical upward CO₂ flow were analyzed, based on the relationship between the wall heat flux and mass flux, buoyancy and flow acceleration effects, and specific heat variation across the turbulent boundary layer. These analyses indicated that the flow acceleration and significant specific heat variation in the boundary layer greatly influenced the heat transfer phenomena under the tested experimental conditions. A two layer heat-transfer model that sufficiently reflects both the effects of flow acceleration and specific heat variation was proposed to quantify the heat-transfer characteristics of supercritical fluids. This model was based on the thermal resistance behavior in the viscous sub-layer and the buffer layer. In our assessment of this model, the Nusselt number calculated from various experiments agreed with our data within a margin of error of ±30%. Also, the location of the peak inner wall temperature from experimental data almost coincided with the peak maximum thermal resistance in the viscous sub-layer, calculated using the proposed model.     

纳米流体圆管内的湍流流动特性

采用Eulerian-Eulerian模型和Eulerian-Lagrange模型研究了TiO₂-水纳米流体在水平管内的湍流流动特性,并与实验结果进行对比分析,探讨了不同模型中各种相间作用力的影响。从微流动角度探索纳米流体的流动本质,从而进一步揭示其传热强化机理。结果表明：在壁面附近,纳米颗粒与水存在着明显的速度差异,相间的动量交换十分明显,从而强化了局部微流动,导致边界层变薄。纳米颗粒在整个流场内部是不均匀分布的,使得边界层内部换热能力得到大幅度增强。纳米流体流动特性的改变是影响其强化换热的主要因素。     

Condensation with non-condensing gases inside vertical tubes with turbulent gas and film flow

Mass transfer coefficients in the turbulent gas flow of a vertical condenser tube are determined experimentally in a short test segment. When the film model is used to evaluate the data, the gas phase resistance to mass transfer is well described by a correlation obtained from single-phase pipe flow. No significant interaction between gas and film flow is observed, neither for laminar nor for turbulent film flow. A design method for long condenser tubes is developed considering superheating of the gas and subcooling of the falling film. When the film model and a single-phase pipe flow correlation are incorporated, the method matches with sufficient accuracy experimental data taken from the literature. To estimate the onset of entrainment in falling film exchangers a correlation for entrainment in annular two-phase flow is checked. The calculations are in good agreement with experimental data obtained in a long adiabatic tube.     

Turbulent fluid flow and electrochemical mass transfer in an annular duct with an obstruction

A so-called blockage geometry consisting of a rod with a fin positioned concentrically within a pipe is used to asses the capabilities of numerical turbulent flow and mass transfer models to predict the turbulent mass transfer coefficients. Measurements of the mass transfer coefficient have been performed for a range of fin diameters and flow rates. The limiting diffusion current measurements were performed using the ferri-ferrocyanide system and nickel electrodes. Different mass transfer turbulence models are used for the calculations and the results are compared with the measurements. The influence of flow rate and fin diameter on the mass transfer rate is examined.     

Mass transfer between a drop or gas bubble and an isotropic turbulent flow

Theoretical formulas have been set up for calculating the coefficients of mass transfer between a drop or gas bubble and an isotropic turbulent flow for various Peclet and Reynolds numbers. The mass transfer coefficients depend mainly on the characteristics of the isotropic turbulent flow (energy dissipation, turbulence length scale, turbulence time scale), on the properties of the medium, and on the particle size. A number of practical formulas for calculating the mass transfer coefficients for turbulent flow are presented. The calculated data are compared with experimental data.     

Thermophysical Characteristics of Potatoes,Vegetables and Fruits

ABSTRACT

The main objective in this work is to study and deduce a governing equation for net mass transfer in moist air and turbulent flow. Development of simple and reliable steady state models for turbulent moist air-drying has been considered to be quite well covered in literature. However, the lack of necessary background information concerning classical drying models is now being rectified through research carried out with new approaches, which are initiated by advancement in laboratory equipment.

The known and trusted models are combined with coupled momentum, heat and mass transfer equations creating a reliable governing mass transfer equation for use in turbulent moist air drying processes, i.e. the advanced drying model (ADM). The ADM is a relatively user friendly and robust model, and it is well-suited for identifying transfer coefficients from boundary layer measurements, for example in modem high intensity paper drying machines.

The advanced drying model is analysed and verified with the specially designed experimental apparatus described in this article. The deduced mass transfer equation is then presented and experimentally verified to clarify why the use of Stefan's diffusion equation should be avoided when calculating high drying intensities in turbulent flow.

Finally, when applied to a wide drying range, the classical drying models require parameters which have been experimentally verified. Therefore, a comprehensive knowledge of governing mass transfer mechanisms will also reduce the large number of necessary drying experiments. The advanced drying model, which includes variable physical properties and transport coefficients, allows the simulation of many geometrical shapes and drying configurations and therefore provides a tool for optimising drying processes in a new manner.