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NUMERICAL SIMULATION OF CHARGED GAS-LIQUID TWO PHASE JET FLOW IN ELECTROSTATIC SPRAYING 被引量:6
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作者 Wang Ze,Jin Hanhui,Wang Junfeng,Luo Tiqian (School of Energy and Power,Jiangsu University of Science and Technology) 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2001年第3期266-270,共5页
Multi-fluid k-e-kp, two phase turbulence model is used to simulate charged gas-liquid two phase coaxial jet, which is the transorting flow field in electrostatic spraying. Compared with the results of experiment, cha... Multi-fluid k-e-kp, two phase turbulence model is used to simulate charged gas-liquid two phase coaxial jet, which is the transorting flow field in electrostatic spraying. Compared with the results of experiment, charged gas-liquid two-phase turbulence can be well predicted by this model. 展开更多
关键词 ELECTROSTATICS two phase flow TURBULENCE Numerical simulation
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TWO PHASE COMPRESSIBLE FLOW IN POROUS MEDIA 被引量:1
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作者 应隆安 《Acta Mathematica Scientia》 SCIE CSCD 2011年第6期2159-2168,共10页
We study the mathematical model of two phase compressible flows through porous media. Under the condition that the compressibility of rock, oil, and water is small, we prove that the initial-boundary value problem of ... We study the mathematical model of two phase compressible flows through porous media. Under the condition that the compressibility of rock, oil, and water is small, we prove that the initial-boundary value problem of the nonlinear system of equations admits a weak solution. 展开更多
关键词 porous media two phase compressible flows initial-boundary value problem
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Linearization and analytic solution of fluid dynamics of cell two-phase flow
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作者 范天佑 范蕾 唐志毅 《Journal of Beijing Institute of Technology》 EI CAS 2011年第1期1-3,共3页
Linearized equations of fluid dynamics of cell two phase flow for one dimensional case are proposed. Based on the equations, an analytic solution is derived, in which the frequency of wave is observed. The frequency f... Linearized equations of fluid dynamics of cell two phase flow for one dimensional case are proposed. Based on the equations, an analytic solution is derived, in which the frequency of wave is observed. The frequency formula consists of all important parameters of the fluid dynamics. In our observation, the group velocity and phase velocity of the motion of wave propagation are explicitly exhibited as well. 展开更多
关键词 ell two phase flow fluid dynamics LINEARIZATION analytic solution
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Theoretical Computation of Nonlinear System Equations of Heavier Pellets Movements for Two Phase Flow
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作者 Guo Jinji and Zhan ShengDept. of Applied Mechanics and Engineering, Zhongshan University, Guangzhou 510275, P.RChina 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1992年第3期59-68,共10页
This paper presents nonlinear ordinary differential equations (ODES) of the heavier pellets movement for two phase flow, which actually represent a system of equations. The usual methods of solution such as Runge -Kut... This paper presents nonlinear ordinary differential equations (ODES) of the heavier pellets movement for two phase flow, which actually represent a system of equations. The usual methods of solution such as Runge -Kutta method and it's datum results are discussed. This paper solves ODES of general form using variable mesh-length, linearizing the nonlinear terms by finite analysis method, fuilding an iteration sequence, and amending the nonlinear terms by iteration . The conditions of convergent operation of iteration solution is checked. The movement orbit and velocity of the pellets are calculated. Analysis of research results and it's application examples are illustrated. 展开更多
关键词 Heavier pellets movement two phase flow Nonlinear system equations Finite analysis method Iteration approach solutions.
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An Improved Coupled Level Set and Continuous Moment-of-Fluid Method for Simulating Multiphase Flows with Phase Change
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作者 Zhouteng Ye Cody Estebe +8 位作者 Yang Liu Mehdi Vahab Zeyu Huang Mark Sussman Alireza Moradikazerouni Kourosh Shoele Yongsheng Lian Mitsuhiro Ohta M.Yousuff Hussaini 《Communications on Applied Mathematics and Computation》 EI 2024年第2期1034-1069,共36页
An improved algorithm for computing multiphase flows is presented in which the multimaterial Moment-of-Fluid(MOF)algorithm for multiphase flows,initially described by Li et al.(2015),is enhanced addressing existing MO... An improved algorithm for computing multiphase flows is presented in which the multimaterial Moment-of-Fluid(MOF)algorithm for multiphase flows,initially described by Li et al.(2015),is enhanced addressing existing MOF difficulties in computing solutions to problems in which surface tension forces are crucial for understanding salient flow mechanisms.The Continuous MOF(CMOF)method is motivated in this article.The CMOF reconstruction method inherently removes the"checkerboard instability"that persists when using the MOF method on surface tension driven multiphase(multimaterial)flows.The CMOF reconstruction algorithm is accelerated by coupling the CMOF method to the level set method and coupling the CMOF method to a decision tree machine learning(ML)algorithm.Multiphase flow examples are shown in the two-dimensional(2D),three-dimensional(3D)axisymmetric"RZ",and 3D coordinate systems.Examples include two material and three material multiphase flows:bubble formation,the impingement of a liquid jet on a gas bubble in a cryogenic fuel tank,freezing,and liquid lens dynamics. 展开更多
关键词 Moment-of-Fluid(MOF) Surface tension two phase flow phase change Deforming boundaries with change(s)in topology two-dimensional(2D) Three-dimensional(3D)axisymmetric 3D
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Experimental Investigation of Loop Heat Pipe with Two Evaporators/Two Condensers under Thermal Vacuum Condition
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作者 Xinyu Chang Hosei Nagano 《Journal of Applied Mathematics and Physics》 2016年第8期1460-1469,共10页
Multiple loop heat pipe is a high-functional thermal transport device. This work was conducted to confirm the working performance of Multiple loop heat pipe under thermal vacuum ambience with the working fluid ammonia... Multiple loop heat pipe is a high-functional thermal transport device. This work was conducted to confirm the working performance of Multiple loop heat pipe under thermal vacuum ambience with the working fluid ammonia. Asmall multiple loop heat pipe with two evaporators and two ra- diators was designed and fabricated. Then thermal vacuum test was conducted. The heaters were fasten on both evaporators, both radiators, both compensation chambers. In the case that both evaporators were heated, the multiple loop heat pipe can transport 120/120 W for 1.5 m, in the case that only one evaporator was heated, evaporator 1 can transport 80 W for 1.5 m, while eva- porator 2 can transport 120 W for 1.5 m. Two flow regulators were installed near the confluence of liquid line to prevent uncondensed vapor penetrating into returning liquid when the tempera- ture difference exists between two radiators. In the case that the heat load at both evaporators were 40/40 W and one radiator was heated, the flow regulator1 can tolerate the 160 W of heat load which was supplied to radiator1 while the flow regulator2 can tolerate the 100 W of heat load which was supplied to radiator2. To demonstrate the multiple loop heat pipe’s startup behavior at lowheat load, each of the compensation chamber was preheated to change the initial distribution of liquid and vapor in the evaporator and compensation chamber, in the result, each evaporator can start up at 5W through preheating. 展开更多
关键词 Loop Heat Pipe AMMONIA Thermal Vacuum Test two phase Flow
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Velocity and thermal slip effects on MHD convective radiative two-phase flows in an asymmetric non-uniform channel
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作者 B.Mallikarjuna S.H.C.V.Subba Bhatta S.Ramprasad 《Propulsion and Power Research》 SCIE 2021年第2期169-179,共11页
This paper aims to examine the influence of thermal radiation on magnetohydrodynamics(MHD)convective two-phase flows through the asymmetric divergent channel under first-order velocity and thermal slip conditions.Suit... This paper aims to examine the influence of thermal radiation on magnetohydrodynamics(MHD)convective two-phase flows through the asymmetric divergent channel under first-order velocity and thermal slip conditions.Suitable transformations are used to nondimensionalize the governed partial differential equations and then solved them numerically.A grid-independent test is done to check the consistency of the numerical method and then validated with existing published results in a limiting case.The graphical illustrations are provided to explain the impacts of various emerging parameters on flow fields.An enhancement in particle velocity is observed with an increment in the velocity slip parameter.As the temperature slip parameter improves a decrement in the fluid as well as particle temperature is observed.An increment in radiation parameter augments fluid temperature.This type of flow has multifarious range applications like fluidized beds,gas cooling systems,polishing heart valves and internal cavities,etc. 展开更多
关键词 Particulate suspension two phase flows Heat transfer Thermal radiation Divergent channel
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NUMERICAL SIMULATION ON 2-D WATER-AIR TWO-PHASE FLOW OVER TOP OUTLET 被引量:9
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作者 Diao Ming jun, Yang Yong quan, Xu Wei lin, Wang Wei, Liu Shan junState Key Hydraulics Laboratory of High Speed Flows, Sichuan University, Chengdu 610065, China 《Journal of Hydrodynamics》 SCIE EI CSCD 2002年第3期60-63,共4页
Flood discharge over top outlet of dam is simulated by 2 dimension water air two phase mathematical model. Distribution of dynamic pressure, turbulent kinetic energy (k), turbulent dissipation rate (ε), free wat... Flood discharge over top outlet of dam is simulated by 2 dimension water air two phase mathematical model. Distribution of dynamic pressure, turbulent kinetic energy (k), turbulent dissipation rate (ε), free water surface and velocity field have been obtained. The simulated results were tested by physical model, which shows that the computed results are identical with that of the physical model. 展开更多
关键词 numerical simulation water air two phase flow top outlet VOF method k ε model
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Effect of pressurizing speed on filling behavior of gradual expansion structure in low pressure casting of ZL205A alloy 被引量:7
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作者 shan-guang liu chuan-biao luo +3 位作者 guo-ai li wen-lin gao zheng lu sheng-long dai 《China Foundry》 SCIE 2018年第4期276-282,共7页
The mold filling behavior of gradual expansion structure in low pressure casting was studied by two phase flow model using the Volume of Fluid method, and was verified by water simulation with a Plexiglas mold. To get... The mold filling behavior of gradual expansion structure in low pressure casting was studied by two phase flow model using the Volume of Fluid method, and was verified by water simulation with a Plexiglas mold. To get smooth mold filling process and provide a guide for the pressurizing speed design in the producing practice, the mathematical model with the pressurizing speed, expansion angle and height of the gradual expansion structure was established. For validation experiments, ZL205 A alloy castings were produced under two different pressurizing speeds. Weibull probability plots were used to assess the fracture mechanisms under different pressurizing speeds. Mechanical properties of ZL205 A alloy were applied to assess the entrainment of oxide film. The results show that the filling process of a gradual expansion structure in a low pressure casting can be divided into the spreading stage and filling stage by gate velocity. The gate velocity continues to increase in the gradual expansion structure, and increases with the increase of pressurizing speed or expansion angle. Under the effect of the falling fluid raised by the jet flow along the sidewall, the fluid velocity decreases in the jet zone from ingate to free surface. As such, oxide film entrainment does not occur when the gate velocity is greater than the critical velocity, andthe gate velocity no longer reflects the real state of the free surface. The scatter of the mechanical properties is strongly affected by the entrainment of oxide films. 展开更多
关键词 low pressure casting two phase flow water simulation oxide film ZL205A alloy
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Bionic Design and Finite Element Analysis of Elbow in Ice Transportation Cooling System 被引量:4
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作者 Dejun Miao~(1,2), Xiuhua Sui~3, Linjing Xiao~3 1. Key Laboratory of Mine Hazard Prevention and Control (Ministry of Education, China), Shandong University of Science and Technology, Qingdao 266510, P. R. China 2. School of Architecture, Tsinghua University, Beijing 100084, P. R. China 3. College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266510, P. R. China 《Journal of Bionic Engineering》 SCIE EI CSCD 2010年第3期301-306,共6页
With the increase in mining depth, mine heat harm has appeared to be more prominent. The mine heat harm could be resolvedor reduced by ice refrigeration. Thus, ice transportation through pipeline becomes a critical pr... With the increase in mining depth, mine heat harm has appeared to be more prominent. The mine heat harm could be resolvedor reduced by ice refrigeration. Thus, ice transportation through pipeline becomes a critical problem; typically flowresistance occurs in the elbow. In the present study, according to the analysis of the surface morphology of fish scale, abiomimetic functional surface structure for the interior wall of elbow is designed. Based on the theory of liquid-solid two phaseflow, a CFD numerical simulation of ice-water mixture flowing through the elbow is carried out using finite element method.Conventional experiments of pressure drop and flow resistance for both bionic and common elbows are conducted to test theeffect of the bionic elbow on flow resistance reduction. It is found that with the increase in the ice mass fraction in the ice-watermixture, the effect of bionic elbow on resistance reduction becomes more obvious. 展开更多
关键词 bionic elbow two phase flow ice transportation flow resistance reduction pressure loss
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STABILITY OF VORTEX STREET IN GAS-LIQUID TWO-PHASE FLOW 被引量:4
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作者 LiYong-guang LinZong-hu 《Journal of Hydrodynamics》 SCIE EI CSCD 2003年第6期49-55,共7页
The stability of the Karmen vortex street in gas-liquid two-phase flow wasstudied experimentally and theoretically. The values of the parameter h/l characterizing the vortexsirect structure (i. e. , the ratio of the v... The stability of the Karmen vortex street in gas-liquid two-phase flow wasstudied experimentally and theoretically. The values of the parameter h/l characterizing the vortexsirect structure (i. e. , the ratio of the vortex street width to the distance between two vortexes)for a stable vortex street in gas-liquid two-phase flow were obtained for the first lime. Theparameter h/l was proved to be a variable, not a constant as in single-phase flow, h/l is related tothe upstream fluid void fraction. In gas-liquid two-phase fluid flow to form a steady vortex streetis more difficult than in a single-phase fluid flow. Because in the unsteady vortex shedding thevortex shedding band frequency is broader than the one in the single phase fluid flow, so it iseasier to induce the cross-cylinder resonance than in the single phase fluid flow, and this caseshould give rise to the attention of engineers. 展开更多
关键词 karmen vortex two phase flow STABILITY CYLINDER
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Flow pattern identification in oil wells by electromagnetic image logging 被引量:3
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作者 Liu Zaibin Wu Xiling 《Petroleum Science》 SCIE CAS CSCD 2012年第3期303-309,共7页
Petroleum production logging needs to determine the interpretation models first and flow pattern identification is the foundation, but traditional flow pattern identification methods have some limitations. In this pap... Petroleum production logging needs to determine the interpretation models first and flow pattern identification is the foundation, but traditional flow pattern identification methods have some limitations. In this paper, a new method of flow pattern identification in oil wells by electromagnetic image logging is proposed. First, the characteristics of gas-water and oil-water flow patterns in horizontal and vertical wellbores are picked up. Then, the continuous variation of the two phase flow pattern in the vertical and horizontal pipe space is discretized into continuous fluid distribution models in the pipeline section. Second, the electromagnetic flow image measurement responses of all the eight fluid distribution models are simulated and the characteristic vector of each response is analyzed in order to distinguish the fluid distribution models. Third, the time domain changes of the fluid distribution models in the pipeline section are used to identify the flow pattern. Finally, flow simulation experiments using electromagnetic flow image logging are operated and the experimental and simulated data are compared. The results show that the method can be used for flow pattern identification of actual electromagnetic image logging data. 展开更多
关键词 Electromagnetic image logging two phase flow flow pattern identification fluid distribution model
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ON EQUATION OF DISCRETE SOLID PARTICLES' MOTION IN ARBITRARY FLOW FIELD AND ITS PROPERTIES 被引量:2
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作者 黄社华 李炜 程良骏 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第3期297-310,共14页
The forces on rigid particles moving in relation to fluid having been studied and the equation of modifications of their expressions under different flow conditions discussed, a general form of equation for discrete p... The forces on rigid particles moving in relation to fluid having been studied and the equation of modifications of their expressions under different flow conditions discussed, a general form of equation for discrete particles' motion in arbitrary flow field is obtained. The mathematical features of the linear form of the equation are clarified and analytical solution of the linearized equation is gotten by means of Laplace transform. According to above theoretical results, the effects of particles' properties on its motion in several typical flow field are studied, with some meaningful conclusions being reached. 展开更多
关键词 solid liquid two phase flow discrete particles' motion equation discrete solid particles Laplace transform
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A novel Shan and Chen type Lattice Boltzmann two phase method to study the capillary pressure curves of an oil water pair in a porous media 被引量:1
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作者 Sahand Nekoeian Ataallah Soltani Goharrizi +2 位作者 Mohammad Jamialahmadi Saeed Jafari Fatemeh Sotoudeh 《Petroleum》 2018年第3期347-357,共11页
In this study,an immiscible oil-water two phase flow in a typical porous media was modeled using the well-known Lattice Boltzmann method.A set of flow tests for modeling an oil-water two phase flow in the porous media... In this study,an immiscible oil-water two phase flow in a typical porous media was modeled using the well-known Lattice Boltzmann method.A set of flow tests for modeling an oil-water two phase flow in the porous media were conducted to generate the capillary pressure curves for two distinctive initial conditions,namely,water and oil dispersed conditions in two domains of different resolutions.Based on the obtained results,the general trend of these curves has an acceptable agreement with the usual trend of these curves in hydrocarbon reservoirs and the capillary data are independent of the initial conditions.Also,the results showed the effect of grid resolution on capillary data which are validated quantitatively by proposing a new approach using Purcell's equation.One can see that they are compatible with the geometrical characteristics of the porous media as well as the conditions governing the tests.Finally,another set of tests for oil water pairs of higher viscosity ratio up to 4.4 was performed in a low porosity heterogeneous porous media and the viscous coupling effect on capillary data,due to viscosity ratio,was studied to strengthen the model validation. 展开更多
关键词 Immiscible two phase flow Lattice Boltzmann method Shan and Chen model Capillary pressure curves Purcell's equation
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Turbulent Modulation in Particulate Flow: A Review of Critical Variables 被引量:1
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作者 Ammar Saber T.Staffan Lundstrom J.Gunnar I.Hellstrom 《Engineering(科研)》 2015年第10期597-609,共13页
A review of the main mechanisms influencing turbulent modulation in the presence of spherical and non-spherical particles is presented. The review demonstrates the need for more numerical and experimental work with hi... A review of the main mechanisms influencing turbulent modulation in the presence of spherical and non-spherical particles is presented. The review demonstrates the need for more numerical and experimental work with higher accuracy than obtained so far and the need to resolve the flow near the surface of particles with the aim to re-evaluate the quantitative effect of different parameters on turbulent modulation. The review reveals that non-spherical particles have more adverse effect on turbulence as compared to spherical ones, for the same ambient conditions. 展开更多
关键词 two phase Flow Turbulent Modulation Non-Spherical Particle Stokes Number Particle Reynolds Number Length Scale Density Ratio
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OPTIMIZATION DESIGN OF GAS-PARTICLE TWO PHASE AXIAL-FLOW FAN
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作者 Zhou, Zexuan 《Journal of Hydrodynamics》 SCIE EI CSCD 2000年第1期22-26,共5页
Based on the shaping theory of writhed blade in streamline design, the geometric shape of blade is designed and then computational formulas for the dynamic design of the fan with writhed blades in gas-particle two-pha... Based on the shaping theory of writhed blade in streamline design, the geometric shape of blade is designed and then computational formulas for the dynamic design of the fan with writhed blades in gas-particle two-phase axial-flow are derived with the two-phase continuum coupling model. Concurrently, the correlation between the structure of impeller and flow-field dynamic functional parameters is presented. Further, the software for the optimization design of the gas-particle two-phase axial-flow fan with writhed blades is obtained. By means of the available software, a sample fan is formed, and its all dynamic characteristic curves and its geometric shape are presented. Finally, the conclusion on the effect of particles on fan running is reached quantitatively and qualitatively, as is expected in the fan industry. 展开更多
关键词 DESIGN FANS Mathematical models OPTIMIZATION two phase flow
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Two Phase Flow Stability in the HTR-10 Steam Generator
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作者 居怀明 左开芬 +1 位作者 刘志勇 徐元辉 《Tsinghua Science and Technology》 SCIE EI CAS 2001年第1期75-79,共5页
A 10MW High Temperature Gas Cooled Reactor (HTR-10) designed by the Institute of Nuclear Energy Technology (INET) is now being constructed. The steam generator (SG) in the HTR-10 is one of the most important component... A 10MW High Temperature Gas Cooled Reactor (HTR-10) designed by the Institute of Nuclear Energy Technology (INET) is now being constructed. The steam generator (SG) in the HTR-10 is one of the most important components for reactor safety. The thermal-hydraulic performance of the SG was investigated. A full scale HTR-10 Steam Generator Two Tube Engineering Model Test Facility (SGTM-10) was installed and tested at INET. This paper describes the SGTM-10 thermal hydraulic experimental system in detail. The SGTM-10 simulates the actual thermal and structural parameters of the HTR-10. The SGTM-10 includes three separated loops: the primary helium loop, the secondary water loop, and the tertiary cooling water loop. Two parallel tubes are arranged in the test assembly. The main experimental equipment is shown in the paper. Expermental results are given illustrating the effects of the outlet pressures, the heating power, and the inlet subcooling. 展开更多
关键词 high temperature gas cooled reactor once-through steam generator helical tube steam generator two phase flow stability
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Thermographic Observation of High-Frequency Ethanol Droplet Train Impingement on Heated Aluminum and Glass Surfaces
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作者 Baris Burak Kanbur Sheng Quan Heng Fei Duan 《Fluid Dynamics & Materials Processing》 EI 2022年第6期1711-1718,共8页
The present study considers the impingement of a train of ethanol droplets on heated aluminum and glass surfaces.The surface temperature is allowed to vary in the interval 140℃–240℃.Impingement is considered with a... The present study considers the impingement of a train of ethanol droplets on heated aluminum and glass surfaces.The surface temperature is allowed to vary in the interval 140℃–240℃.Impingement is considered with an inclination of 63 degrees.The droplet diameter is 0.2 mm in both aluminum and glass surface experiments.Thermal gradients are observed with a thermographic camera.It is found that in comparison to glass,the aluminum surface displays very small liquid accumulations and better evaporation performance due to its higher thermal conductivity.The relatively low thermal conductivity of glass results in higher thermal gradients on the surface.The droplet impact area on the aluminum surface is smaller than the corresponding area for the glass surface.Interestingly,the liquid accumulation area is not symmetrical.Moreover,the extension of the droplet train impact region decreases on increasing the surface temperature because higher temperature values allow greater surface energy levels that enhance significantly the evaporation rate. 展开更多
关键词 Droplet impingement BOILING thermal flow droplet spreading two phase flow heat transfer
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Hydrodynamic Pattern Investigation of Ethanol Droplet Train Impingement on Heated Aluminum Surface
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作者 Baris Burak Kanbur Sheng Quan Heng Fei Duan 《Fluid Dynamics & Materials Processing》 EI 2022年第5期1331-1338,共8页
Steady-state hydrodynamic patterns of ethanol droplet train impingement on the heated aluminum surface is investigated in the surface temperature range of 80°C–260°C using two different Weber numbers(We)of ... Steady-state hydrodynamic patterns of ethanol droplet train impingement on the heated aluminum surface is investigated in the surface temperature range of 80°C–260°C using two different Weber numbers(We)of 618 and 792.Instead of a vertical train impingement,the droplet train is sent to the aluminum surface with an incline of 63 degrees.Changes in the spreading length are observed at different surface temperatures for two different We values,which are obtained by using two different pinholes with 100 and 150μm diameters.The greatest spreading length is seen at the lowest surface temperature(80°C)and it continuously decreases until the surface temperature of 200°C.Above 200°C,the spreading length remains stable which is most probably because of the Leidenfrost effect.The spreading lengths of the experiments with 100μm are 46.4%smaller than the experiments with 150μm.Also,splashing angles are observed for both We values.The ranges of splashing angle observations are 140°C–200°C and 170°C–185°C for We values of 792 and 618,respectively. 展开更多
关键词 Hydrodynamic patterns BOILING droplet spreading two phase flow heat transfer
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FLOW OF A TRAIN OF DEFORMABLE FLUID PARTICLES IN A TUBE
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作者 陈晋南 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第7期651-661,共11页
In the article, the boundary integral technique is used to salve the hydrodynamic movement. of a train of deformable fluid particles in a tube. When a fluid particle is: in a tube, the total normal stress difference i... In the article, the boundary integral technique is used to salve the hydrodynamic movement. of a train of deformable fluid particles in a tube. When a fluid particle is: in a tube, the total normal stress difference is not constant any more; this force tends to distend and elongate the particle. We find that the difference between the velocity of a deformable fluid particle and a sphere (with the same radius) increases as the distance between the particles decreases, and that the increase in velocity with L'/a' is greater the capillary number, and this increase becomes less pronounced as radius' decreases. 展开更多
关键词 two phase flow deformable periodic fluid particle
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