• Title/Summary/Keyword: Two phase mixture theory

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An Experimental Study on Compaction Characteristics of Gravel-mixed Decomposed Granite Soil (자갈이 함유된 화강풍화토의 다짐특성에 관한 연구)

  • Ham, Tae-Gew
    • Journal of the Korean Geotechnical Society
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    • v.23 no.11
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    • pp.59-66
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    • 2007
  • In order to clarify the influence of gravel content on the mechanical properties of gravel-mixed decompose granite soils, large-scale one-dimensional compression tests were performed. The sample used in the study was a decomposed granite soil from Shimonoseki in Yamaguchi prefecture in Japan. After adjusting the grain size of the said soils, the specimen compacted with a certain level of compaction energy was put to the test. Based on the results obtained, when gravel-mixed decomposed granite soil was compacted at the same energy level, there existed the specific gravel content at which dry density was maximum and which also produced the minimum compression index. Furthermore, from these results, an expression based on a two-phase mixture theory was proposed to quantitatively evaluate the effects of gravel content and initial dry density and the material parameters calculated through the proposed method proved to exactly estimate the actual measuring value.

A Theory of Interface between Polymer and Polymer Mixture

  • Yoon Kyung-Sup;Park Hyungsuk
    • Bulletin of the Korean Chemical Society
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    • v.15 no.1
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    • pp.45-52
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    • 1994
  • We present a theoretical study of the non-symmetrical A/BC polymeric system. The polymer blends consist of two phases, a pure polymeric phase A on one side and a mixture of polymers B as a compatibilizer and C on the other. The adsorption of homopolymer B to the interface improves the interfacial adhesion between two phases. By employing the functional integral techniques, we derive the mean-field equations and solve them numerically to obtain the interfacial properties including the concentration profiles in the limit of infinite molecular weight for the polymers. Thecalculations of the interfacial properties are performed for typical values of the Flory X parameters and the volume fraction of polymer B in the asymptotic mixture phase. The interfacial adsorption of polymer B and the degrees of the specific interaction between the polymers play an important role in modification of the interfacial properties.

Analysis of Turbulent Heat Transfer of Gas-Solid Suspension Flow In Pipes (固體分末 이 浮上된 二相亂流 管流動 의 熱傳達 解析)

  • 김재웅;최영돈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.6 no.4
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    • pp.331-340
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    • 1982
  • Numerical analysis is made on the turbulent heat transfer with suspension of solid particles in circular tube with constant heat flux. The mean motion of suspending particles in mixture is treated as the secondary gas flow with virtual density and viscosity. Our modeling of turbulent transport phenomena of suspension flow is based on this assumption and conventional mixing length theory. This paper gives the evidence that the mixing length models can be extended to close the governing equations for two phase turbulent flow with solid boundary at a first order level. Results on Nusselt numbers obtained by analytical treatments are compared with available experimental data and discussed. They suggest that the most important parameters of two phase turbulent heat transfer phenomena are relative particle diameter to pipe diameter, gas-solid loading ratio, and specific heat of suspending material.

The Review of Studies on Pressure Drop and Heat Transfer In Microchannels

  • Hwang, Yun-Wook;Kim, Min-Soo
    • International Journal of Air-Conditioning and Refrigeration
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    • v.13 no.1
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    • pp.51-60
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    • 2005
  • This paper reviews the studies on the pressure drop and the heat transfer in microchannels. Although a lot of studies about the single-phase flow have been done until now, conflicting results are occasionally reported about flow transition from laminar flow to turbulent flow, friction factor, and Nusselt number. Some studies reported the early flow transition due to relatively greater wall effect like surface roughness, but the other studies showed that the flow transition occurred at the Reynolds number of about 2300 and the early flow transition might be due to less accurate measurement of the channel geometry. Also, there have been arguments whether the conventional relation based upon continuum theory can be applied to the fluid flow and the heat transfer in microchannels without modification or not. The studies about the two-phase flow in microchannels have been mostly about investigating the flow pattern and the pressure drop in rectangular channels using two-component, two-phase flow like air/water mixture. Some studies proposed correlations to predict two-phase flow pressure drop in microchannels. They were mostly based on Lockhart-Martinelli model with modification on C-coefficient, which was dependent on channel geometry, Reynolds number, surface tension, and so on. Others investigated the characteristics of flow boiling heat transfer in microchannels with respect to test parameters such as mass flux, heat flux, system pressure, and so on. The existing studies have not been fully satisfactory in providing consistent results about the pressure drop and the heat transfer in microchannels. Therefore, more in-depth studies should be done for understanding the fundamentals of the transport phenomena in the microchannels and giving the basic guidelines to design the micro devices.

Carbon Dioxide-Isopropyl Alcohol System: High Pressure Phase Behavior and Application with SAFT Equation of State (이산화탄소-이소프로필 알코올계: 고압 상거동 및 SAFT 상태방정식 적용)

  • Kwak, Chul;Byun, Hun-Soo
    • Applied Chemistry for Engineering
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    • v.10 no.2
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    • pp.324-329
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    • 1999
  • In this work, high pressure binary phase equilibria data of carbon dioxide and isopropyl alcohol were obtained by experiment. A static type experimental apparatus was made to measure temperature, pressure and phase equilibria composition. The experimental apparatus was tested by comparing the measured phase equilibria data of the carbon dioxide-isopropyl alcohol system at $80^{\circ}C$ with those of Rodosz. The binary phase behavior data of carbon dioxide-isopropyl alcohol system were measured in range of 41 to 133 bar and at temperatures of 40, 60, 80, 100 and $120^{\circ}C$. The solubility of isopropyl alcohol increases as the temperatures increases at constant pressure. Also, these carbon dioxide-alcohol solute system have critical-mixture curves that exhibit maxima in pressure at temperatures between the critical temperatures of carbon dioxide and isopropyl alcohol. The experimental data obtained in this study were modeled using the statistical associating fluid theory(SAFT) equation of state. A good fit of the data was obtained with SAFT using two adjustable parameters for the carbon dioxide-isopropyl alcohol system.

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Analysis on the non-equilibrium dendritic solidification of a binary alloy with back diffusion (역확산을 고려한 이원합금의 비평형 수지상응고 해석)

  • Jeong, Jae-Dong;Yu, Ho-Seon;Lee, Jun-Sik
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.10
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    • pp.3361-3370
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    • 1996
  • Micro-Macro approach is conducted for the mixture solidification to handle the closely linked phenomena of microscopic solute redistribution and macroscopic solidification behavior. For this purpose, present work combines the efficiency of mixture theory for macro part and the capability of microscopic analysis of two-phase model for micro part. The micro part of present study is verified by comparison with experiment of Al-4.9 mass% Cu alloy. The effect of back diffusion on the macroscopic variables such as temperature and liquid concentration, is appreciable. The effect, however, is considerable on the mixture concentration and eutectic fraction which are indices of macro and micro segregation, respectively. According to the diffusion time, the behavior near the cooling wall where relatively rapid solidification permits short solutal diffusion time, approaches Scheil equation limit and inner part approaches lever rule limit.

An enhanced incompressible SPH method for simulation of fluid flow interactions with saturated/unsaturated porous media of variable porosity

  • Shimizu, Yuma;Khayyer, Abbas;Gotoh, Hitoshi
    • Ocean Systems Engineering
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    • v.12 no.1
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    • pp.63-86
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    • 2022
  • A refined projection-based purely Lagrangian meshfree method is presented towards reliable numerical analysis of fluid flow interactions with saturated/unsaturated porous media of uniform/spatially-varying porosities. The governing equations are reformulated on the basis of two-phase mixture theory with incorporation of volume fraction. These principal equations of mixture are discretized in the context of Incompressible SPH (Smoothed Particle Hydrodynamics) method. Associated with the consideration of governing equations of mixture, a new term arises in the source term of PPE (Poisson Pressure Equation), resulting in modified source term. The linear and nonlinear force terms are included in momentum equation to represent the resistance from porous media. Volume increase of fluid particles are taken into consideration on account of the presence of porous media, and hence multi-resolution ISPH framework is also incorporated. The stability and accuracy of the proposed method are thoroughly examined by reproducing several numerical examples including the interactions between fluid flow and saturated/unsaturated porous media of uniform/spatially-varying porosities. The method shows continuous pressure field, smooth variations of particle volumes and regular distributions of particles at the interface between fluid and porous media.

Cavitation Noise Prediction: Direct numerical simulation and Modeling (직접 수치 모사를 통한 캐비테이션 소음 예측 및 모델링)

  • Seo, Jung-Hee;Moon, Young-J.
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2929-2934
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    • 2007
  • Prediction methods for cavitation noise are presented. At first, direct numerical simulation of cavitating flow noise has been performed, and acoustic analogy equation based on the cavitation noise modeling is derived. For the direct numerical simulation, a density based homogenous equilibrium model is employed to simulate cavitating two-phase flow and the governing equations are solved with high-order numerical schemes to resolve cavitation noise. The compressible Navier-Stokes equations for mixture fluids are discretized with a sixth-order central compact scheme, and the steep gradient of flow variables and supersonic regions are treated with the selective spatial filtering technique. The direct simulation of cavitating flow noise is performed for a 2D circular cylinder at cavitation number 0.7 and 1. The far-field noise is also predicted with the derived analogy equation. Noise spectrum predicted with the equation is well compared with the result of direct numerical simulation and also agree well with the theory.

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A Framework for 2D Cohesive Sediment Transport Modeling (2차원 점착성 유사 이동 모형에 관한 Framework)

  • Byun, Jisun;Son, Minwoo;Park, Byeoung Eun;Moon, Hyejin
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.292-292
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    • 2017
  • 하천에서 주로 부유사의 형태로 이송되는 유사는 크게 점착성 유사와 비점착성 유사로 구분된다. 입자의 크기가 약 $63{\mu}m$이하인 유사는 입자 표면의 전자기적 점착력의 영향이 우세하여 유사입자들은 지속적인 응집현상을 겪는다. 응집 현상을 통해 유사의 가장 단위인 일차입자(Primary Particle)들은 하나의 커다란 덩어리인 플럭(Floc)을 형성한다. 응집현상이 중요한 이유는 형성된 플럭의 크기 및 밀도가 끊임없이 변화하는 데 있다. 크기와 밀도의 지속적인 변화로 인하여 유사의 부유에 직접적으로 관계하는 침강속도가 변화한다. 우리나라의 금강 및 낙동강의 하구는 점착성 유사가 지배적인 환경으로, 하구에서의 유사 이동을 살펴보기 위해서는 흐름 방향 및 연직방향으로의 흐름 특성(Hydrodynamics)변화와 응집 모형을 통한 응집 현상의 고려가 필수적이다. 이에따라, 본 연구에서는 흐름 방향 및 연직방향으로의 2차원 점착성 유사 이동모형에 관한 개념적 틀(Framework)을 제시한다. 2차원 점착성 유사 이동 모형의 개념적 틀은 기존의 1차원 연직 점착성 유사 이동 모형을 근간으로 한다. 모형에서 흐름을 구성하는 지배 방정식은 오일러-오일러 이상방정식(Eulerian-Eulerian Two-Phase Equation)을 통해 얻는다. 유사상(Sediment Phase, Dispersed Phase)와 유체상(Fluid Phase, Continuous Phase)는 혼합물 이론(Mxiture Theory)를 통해 하나의 혼합물 상(Mixture Phase)의 지배방정식으로 대표된다. 난류의 계산은 와점성 모형 중 -${\varepsilon}$모형을 통해 수행되며, 부유사의 농도는 유사의 이송-확산 방정식을 통해 모의된다. 입력된 흐름 조건을 따라 초기 흐름이 모의되면, 유체 내에서 시간에 따른 플럭의 크기가 계산된다. 플럭의 크기가 계산되는 과정에서 밀도와 침강 속도가 계산되며, 그 이후에 유체 내 유사의 농도가 계산된다. 난류 모의가 수행되고 난 이후에, 유속이 재계산 된다. 이러한 과정을 통해 흐름 방향 및 연직 방향으로의 유사 이동 모의가 가능한 2차원 점착성 유사 이동 모형이 개발될 수 있을 것이라고 생각된다.

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Sintering Mixtures in the Stage of Establishing Chemical Equilibrium

  • Savitskii, A.P.
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 1999.04a
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    • pp.5-5
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    • 1999
  • The Principal deficiency of the existing notion about the sintering-mixtures consists in the fact that almost no attention is focused on the Phenomenon of alloy formation during sintering, its connection with dimensional changes of powder bodies, and no correct ideas on the driving force for the sintering process in the stage of establishing chemical equilibrium in a system are available as well. Another disadvantage of the classical sintering theory is an erroneous conception on the dissolution mechanism of solid in liquid. The two-particle model widely used in the literature to describe the sintering phenomenon in solid state disregards the nature of the neighbouring surrounding particles, the presence of pores between them, and the rise of so called arch effect. In this presentation, new basic scientific principles of the driving forces for the sintering process of a two-component powder body, of a diffusion mechanism of the interaction between solid and liquid phases, of stresses and deformation arising in the diffusion zone have been developed. The major driving force for sintering the mixture from components capable of forming solid solutions and intermetallic compounds is attributed to the alloy formation rather than the reduction of the free surface area until the chemical equilibrium is achieved in a system. The lecture considers a multiparticle model of the mixed powder-body and the nature of its volume changes during solid-state and liquid-phase sintering. It explains the discovered S-and V-type concentration dependencies of the change in the compact volume during solid-state sintering. It is supposed in the literature that the dissolution of solid in liquid is realised due to the removal of atoms from the surface of the solid phase into the melt and then their diffusicn transfer from the solid-liquid interface into the bulk of liquid. It has been shown in our experimental studies that the mechanism of the interaction between two components, one of them being liquid, consist in diffusion of the solvent atoms from the liquid into the solid phase until the concentration of solid solutions or an intermetallic compound in the surface layer enables them to pass into the liquid by means of melting. The lecture discusses peculimities of liquid phase formation in systems with intermediate compounds and the role of the liquid phase in bringing about the exothermic effect. At the frist stage of liquid phase sintering the diffusion of atoms from the melt into the solid causes the powder body to grow. At the second stage the diminution of particles in size as a result of their dissolution in the liquid draws their centres closer to each other and makes the compact to shrink Analytical equations were derived to describe quantitatively the porosity and volume changes of compacts as a result of alloy formation during liquid phase sinteIing. Selection criteria for an additive, its concentration and the temperature regime of sintering to control the density the structure of sintered alloys are given.

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