Heat transfer at evaporation of falling films of Freon mixture on the smooth and structured surfaces

The paper presents the results of experimental investigation of heat transfer and hydrodynamics of falling films of binary mixtures of R21 and R114 freons on the surfaces with complex configuration. The vertical tubes of 50-mm diameter with the smooth and structured surfaces, made of D16T alloy, were used as the working sections. The range of film Reynolds number at the inlet to the working section was Re =10÷155. The image of wave surface of the falling liquid film was visualized and recorded by a high-speed digital video camera. At evaporation the heat transfer coefficients on the smooth and structured surfaces are determined by the liquid flow rate and weakly depend on the heat flux. At low liquid flows, the heat transfer coefficients on the structured surface decrease in comparison with the smooth surface because of liquid accumulation and enlargement of efficient thickness in microtexture channels. At high liquid flows, a change in the structure of the wave film surface leads to an increase in heat transfer coefficients in comparison with the smooth surface.     

Numerical Simulation for Falling Film Flow Characteristics of Refrigerant on the Smooth and Structured Surfaces

Flow characteristics of a liquid film flowing over a smooth surface and structured surface with the Reynolds number range from 10 to 1121 are studied. The mixture of R21 and R114 refrigerants is used as the test liquid. The 3D transient simulations are taken to capture the liquid film’s dynamic characteristics and spatial distribution. Effects of the inlet dimension, inlet flow rates, surface tension, and surface structuring on the wettability, average velocity, and film thickness are studied systematically. The obtained results show that surface tension is essential for an accurate simulation, while inlet width has no effect on the liquid film parameters in the steady-state flow regime. For low flow rates, wetting area and film thickness both are small, and a suggested range of Reynolds number is chosen to simulate further heat transfer in order to balance the film thickness and dry spots generation. It is shown that a ripple surface structure hinders the liquid film movement, reflected in a lower velocity and a larger film thickness compared to the smooth surface. Lateral movement of a liquid film can also be observed at the structured surface.     

Heat transfer and crisis phenomena at boiling in Freon mixture films falling down the structured tube

Investigation results on hydrodynamics, heat transfer, and crisis phenomena in laminar-wave liquid films falling down the surfaces of different geometry are presented in this study. Freon mixture R21/R114 with initial concentration of low-boiling component of 4?C16.6 % was used as the working liquid. The film Reynolds number at the inlet to the experimental section varied from 60 to 700. The heat flux density was changed within 0?C5 W/cm². The images of wave surface of the falling liquid film and formation of dry spots were visualized and recorded by the high-speed video camera. Results of investigation of the wave structure of the film surface, measurements of heat transfer coefficients under the conditions of boiling, and critical heat fluxes in the film flow over the smooth and structured surfaces are presented.     

非平整基底上受热液膜流动稳定性研究

本文研究了二维黏性流体薄膜沿非平整不均匀加热基底流动时非线性表面波的演化及其流动稳定性.利用长波摄动法推导出非平整线性加热基底上非线性表面波的零阶和一阶演化方程,基于所得演化方程,绘制出正弦波纹基底上液膜的表面波形图,并研究液膜流动的线性稳定性,分析了各无量纲参数对液膜线性稳定性的影响.分析结果表明:在正弦波纹基底上,液膜自由表面随同壁面作相同频率的正弦型波动,且液膜厚度沿流动方向逐渐变小;Marangoni数为稳定影响因素,随Marangoni数的增大,液膜稳定区域增大;Peclet数和倾角θ均为不稳定影响因素,随Peclet数和倾角θ的增大,液膜稳定区域减小;在非平整基底的波峰和波谷处,Peclet数、Marangoni数和倾角θ对稳定性的影响趋势一致,但基底波谷处的液膜稳定区域小于波峰处区域,流动更易失稳.     

Experimental and numerical study of the effect of conjugate heat transfer on film cooling

Combined convection heat transfer and thermal conduction for film cooling of a flat plate with 45° ribs on one wall was investigated experimentally and numerically. The flat plate surface temperature was measured using thermochromic liquid crystals. The results show that the film cooling is the main mechanism for the local cooling with a very low thermal conductivity while the convection heat transfer of the coolant in the coolant channel is the dominant heat transfer mechanism for the high thermal conductivity plate, with both film cooling and convection heat transfer by the coolant being important with medium thermal conductivity walls.     

Separation efficiency and pressure drop of SiC ceramic and Mellapak structured packings

This paper describes application of SiC ceramic foam to distillation. The investigated foam SiC ceramic packing and smooth SiC ceramic packing parameters in geometrical characteristics are similar to the Mellapale structured packing parameters. The hydrodynamic performance parameters including pressure drop for dry and wet packing, flood velocity, and liquid hold-up, which are determined in a plexiglas tower of a 100-mm internal diameter. The mass transfer efficiency is measured in another glass tower of a 100-mm internal diameter by total reflux experiments, using a mixture of n-heptane and cyclohexane at atmospheric pressure. The experimental results show that the foam SiC ceramic structured packing has a higher dry and wet pressure drop, higher liquid hold-up, higher mass transfer efficiency, and unchanged flood velocity, comparing with a smooth SiC ceramic structured packing with the same shape. Comparison of the experimental data on the separation efficiency and relative pressure drop was performed for foam/smooth SiC ceramic and metal Mellapak structured packings.     

Experimental characterization of novel SiC foam corrugated structured packing with varied pore size and corrugation angle

In our study, SiC foam material has been applied to produce corrugated structured packing in distillation. Three kinds of novel packing with different pore size and corrugation angle have been developed and tested in pilot scale, respectively, to investigate the influence of structural parameters on the performance of SiC foam corrugated structured packing. Hydraulic parameters including pressure drop for dry and wet packing and flooding velocity are determined in an organic glass tower of 600 mm internal diameter, using gas–water. Mass transfer efficiency (HETP) is measured by total reflux experiments in a column with a 310 mm diameter at atmospheric pressure, using a mixture of n-heptane and cyclohexane. The experimental results indicate that SFP-500YD3 with a smaller pore size has higher dry and wet pressure drop, lower flooding velocity and higher mass transfer efficiency compared with SFP-500Y-D5. SFP-500X-D3 with a 30° corrugation angle exhibits lowest pressure drop and highest separation efficiency among all three packings. This study reveals the influence of structural characteristics of SiC foam corrugated structured packing on its performance.     

带气膜孔内部冷却通道的流动传热特性

燃气轮机高温透平内部冷却通道中弯头、肋片和气膜孔之间存在着复杂的交互作用。本文采用瞬态液晶技术对光滑通道、无抽吸的带肋通道和有气膜孔抽吸的带肋通道的表面传热分布和沿程压力损失进行了详细测量,同时采用RANS数值模拟方法研究其流场特性。结果表明180°弯头产生的大分离是压力损失的主要因素,45°斜肋片产生的螺旋形流动在弯头与大分离交互作用明显,气膜孔抽吸破坏孔附近边界层使得肋间传热而相对集中于孔附近。在13%抽吸量条件下,气膜孔抽吸降低U型通道中压力损失约20%,同时保持传热强化程度与无抽吸工况相同。     

Nonlinear periodic waves on the charged surface of a finite-thickness ideal liquid layer

In the fourth order of smallness in the amplitude of a periodic capillary-gravitational wave travelling over the uniformly charged free surface of an ideal incompressible conducting liquid of a finite depth, analytical expressions for the evolution of the nonlinear wave, velocity field potential of the liquid, electrostatic field potential above the liquid, and nonlinear frequency correction that is quadratic in a small parameter are derived. It is found that the dependence of the amplitude of the nonlinear correction to the frequency on the charge density on the free liquid surface and on the thickness of the liquid layer changes qualitatively when the layer gets thinner. In thin liquid layers, the resonant wavenumber depends on the surface charge density, while in thick layers, this dependence is absent.     

矩形槽道微小型平板热管传热性能的理论分析

本文对矩形槽道微小型平板热管的传热特性建立了分析模型,利用薄液膜理论分析了槽道截面上形成的蒸发液膜的厚度分布,同时考虑了蒸汽运动时对液体界面的摩擦阻力和热管管壁的轴向导热。计算结果与实验符合良好。     

3D Large scale Marangoni convection in liquid films

We study large scale surface deformations of a liquid film unstable due to the Marangoni effect caused by external heating on a smooth and solid substrate. The work is based on the thin film equation which can be derived from the basic hydrodynamic equations. To prevent rupture, a repelling disjoining pressure is included which accounts for the stabilization of a thin precursor film and so prevents the occurrence of completely dry regions. Linear stability analysis, nonlinear stationary solutions, as well as three-dimensional time dependent numerical solutions for horizontal and inclined substrates reveal a rich scenario of possible structures for several realistic fluid parameters.     

波纹竖壁上低雷诺数饱和蒸发液膜流动的研究

对饱和蒸发状态下的低雷诺数的液膜在小波幅正弦型波纹壁面上的自由降落进行了理论分析.通过无量纲化、引入流函数、采用摄动展开对数学模型进行处理,得到了这种情况下液膜流动的分析模型,计入了饱和蒸发压力的影响,得到了近似分析解.讨论了壁面波纹的波幅、波数、液膜表面张力和蒸发压力对液膜波动的影响.     

波纹壁面降膜过程的一种近似模型

对高粘度液体在正弦形波纹壁面上的自由降落和蒸发建立了分析模型。对控制微分方程及边界条件作无量纲处理,引入流函数,采用摄动展开得到了0级近似和一级近似的微分方程组,讨论了液膜的流动和传热特性与壁面之间的关系。     

升膜式板式换热器的换热性能研究

升膜蒸发是在换热器表面形成一层薄液膜,薄膜蒸发能够强化换热。文中研究采用光滑铜板的板式升膜蒸发器,以去离子水作为介质,在不同进水流量、不同加热量(热流密度)下,测定换热器某些点的局部换热系数,计算出总的换热系数,研究影响板式换热器升膜蒸发的因素和变化趋势。     

Rivulet flow on the outer surface of an inclined cylinder

A study of the three-dimensional flow of a liquid film (rivulet) over the external part of an inclined cylinder was conducted for liquids with various physical properties. Patterns of the flow regimes were constructed. Good agreement is observed between the experimental data on the thickness and wall friction with the calculation with an asymptotic model in the case of a waveless rivulet. A comparison of the evolution of natural waves on rivulets with the theory of waves of maximal growth shows good agreement for small Re numbers. During the experiments, the wave characteristics of excited waves on a rivulet were investigated. The thickness, amplitude, frequency, and phase velocity of the waves over a wide range of variable parameters are given. Phase velocity integrated functions of the amplitude are constructed for various liquids. The friction on the cylinder wall is measured in the presence of natural and excited waves. The effects of wave regimes on the average values and RMS (root-mean-square) friction pulsations are studied.     

倾斜波动壁面上液膜表面波演化特性的影响

对倾斜波动壁面上流体表面波的演化规律进行了研究. 考虑壁面形状为正弦波动壁面的情况, 分析液膜流动的线性稳定性, 并研究不同倾斜角度下扰动波波形随时间的演化情况及流经不同壁面形状时扰动波的波形变化. 对整体的波形结构分析可知, 随着时间的演化, 扰动波的演化过程呈现为更大波长的近周期变化规律, 与平板上的流动结构对比发现波动情况变得更加复杂; 当液膜流经波动壁面时, 扰动波在空间上不再呈现规律性变化, 且随着壁面倾斜角度的增加, 扰动波的振幅逐渐增加; 在相同的壁面倾角下, 波动壁面上的扰动波振幅大于平板壁面的扰动情况, 且波形扭曲程度更明显; 随着Re的增加, 扰动波振幅逐渐增加, 其对应波形的扭曲程度加深, 且随着壁面振幅的增加, 静态波振幅及扰动波振幅均随之增加, 对应的行进波周期不变. 最后, 分析了壁面倾斜角度对流动稳定性的影响.     

Thickness and Surface Profile Measurement by a Sinusoidal Wavelength-Scanning Interferometer

We propose a sinusoidal wavelength-scanning interferometer for measuring thickness and surface profile of a thin film. The interference signal contains phase modulation amplitude Z and phase $aL which are related to the positions and profiles of the reflecting surfaces, respectively. By reducing the difference between the detected signal and the estimated signal using the multidimensional nonlinear least-squares algorithm, we estimate values of Z and $aL. Experimental results show that the front and rear surfaces of a silica glass plate of 20 $mUm-thickness could be measured with an error less than 10 nm.     

Film flows down a fiber: Modeling and influence of streamwise viscous diffusion

A two-equation model is formulated in terms of two coupled evolution equations for the film thickness h and the local flow rate q within the framework of lubrication theory. Consistency is achieved up to first order in the film parameter epsilon and streamwise diffusion effects are accounted for. The evolution equation obtained by Craster and Matar [1] is recovered in the appropriate limit. Comparisons to the experimental results by [2] and [3] show good agreement in the linear and nonlinear regimes. Second-order viscous diffusion terms are found to potentially enhance the speed and amplitude of nonlinear waves triggered by the Rayleigh-Plateau instability mechanism. Time-dependent computations of the spatial evolution of the film reveal a strong influence of streamwise diffusion on the dynamics of the flow and the wave selection process.     

Thick films of viscous fluid coating a plate withdrawn from a liquid reservoir

We consider the deposition of a film of viscous liquid on a flat plate being withdrawn from a bath, experimentally and theoretically. For any plate speed U, there is a range of "thick" film solutions whose thickness scales like U{1/2} for small U. These solutions are realized for a partially wetting liquid, while for a perfectly wetting liquid the classical Landau-Levich-Derjaguin film is observed, whose thickness scales like U{2/3}. The thick film is distinguished from the Landau-Levich-Derjaguin film by a dip in its spatial profile at the transition to the bath. We calculate the phase diagram for the existence of stationary film solutions as well as the film profiles and find excellent agreement with experiment.     

Measurement of the wave characteristics of a film under the effect of external perturbations

The effect of artificial perturbations on structure formation in the water film flow over a vertical plate with a heater was studied experimentally. To measure the film thickness an eight-channel capacitance probe was used. It is shown that artificial perturbations on the liquid film surface can change the distance between rivulets from the values corresponding to the thermocapillary-wave regime of rivulet formation to the values related to the thermocapillary regime. The distance between the rivulets can be changed at Reynolds numbers higher than those corresponding to the thermocapillary regime. Artificial perturbations do not change significantly the relative amplitude of large waves, but they affect the character of amplitude dependence on the heat flux density. The work was financially supported by the Russian Foundation for Basic Research (Grants Nos. 05-08-33325-a, 06-01-00360-a) and SB RAS (Interdisciplinary Integration Project No. 111).