• 제목/요약/키워드: Stokes' law

검색결과 52건 처리시간 0.023초

MHD Pulsatile Flow and Heat Transfer of Two Immiscible Couple Stress Fluids Between Permeable Beds

  • Kumar, Deepak;Agarwal, Manju
    • Kyungpook Mathematical Journal
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    • 제61권2호
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    • pp.323-351
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    • 2021
  • The present paper addresses magnetohydrodynamic pulsating flow and heat transfer of two immiscible, incompressible, and conducting couple stress fluids between two permeable beds. The flow between the permeable beds is assumed to be governed by Stokes' [28] couple stress fluid flow equations, whereas the dynamics of permeable beds is determined by Darcy's law. In this study, matching conditions were used at the fluid-fluid interface, whereas the B-J slip boundary condition was employed at the fluid-porous interface. The governing equations were solved analytically, and the expressions for velocity, temperature, mass flux, skin friction, and rate of heat transfer were obtained. The analytical expressions were numerically evaluated, and the results are presented through graphs and tables.

고압수소 유량계측용 임계노즐 유동의 수치해석적 연구 (A Computational Work of Critical Nozzle Flow for High-Pressure Hydrogen Gas Mass Flow Measurement)

  • 이준희;김희동;박경암
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2006년 제4회 한국유체공학학술대회 논문집
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    • pp.227-230
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    • 2006
  • The method of mass flow rate measurement using a critical nozzle is well established in the flow satisfying ideal gas law. However, in the case of measuring high-pressure gas flow, the current method shows invalid discharge coefficient because the flow does not follow ideal gas law. Therefore an appropriate equation of state considering real gas effects should be applied into the method. The present computational study has been performed to give an understanding of the physics of a critical nozzle flow for high-pressure hydrogen gas and find a way for the exact mass flow prediction. The two-dimensional, axisymmetric, compressible Navier-Stokes equations are computed using a fully implicit finite volume method. The real gas effects are considered in the calculation of discharge coefficient as well as in the computation. The computational results are compared with the previous experimental data and predict well the measured mass flow rates. It has been found that the discharge coefficient for high-pressure hydrogen gas can be corrected properly adopting the real gas effects.

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점착성 유사의 침강 속도와 농도의 관계에 대한 고찰 (A Study on the Relationship between Concentration and Settling Velocity of Cohesive Sediment)

  • 손민우;변지선;박병은
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2019년도 학술발표회
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    • pp.87-87
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    • 2019
  • 흔히 진흙으로 대표되는 점착성 유사는 모래와 같은 비점착성 유사와 달리 응집 현상으로 인해 지속적으로 유사 입자의 크기가 변화한다. 응집 현상은 점착성 유사 입자의 응집 과정과 파괴과정으로 구성된다. 응집 현상 중 응집 과정은 유사 입자 간의 충돌로 인해 발생하는 것으로 이해되며, 충돌을 야기하는 메커니즘으로는 브라운 운동(Brownian Motion), 차등침강(Differential Settling), 난류 전단 (Turbulent Flow Shear)이 있다. 파괴 과정은 입자간 충돌로 인해 깨지는 것이 아닌 난류 전단(Turbulent Shear)로 인한 덩어리 분리(Massive Splitting)가 발생하는 것으로 이해한다. 이러한 유체의 특성, 흐름 특성 (난류 거동) 뿐만 아니라 유사 입자의 특성 모두의 영향을 받으며 지속적인 응집 현상을 겪는 점착성 유사 입자들은 하나의 커다란 덩어리인 플럭(Floc)을 형성한다. 형성된 플럭의 구조는 프랙탈 기하학을 따르는 것으로 이해된다. 따라서 플럭의 구조는 자기 유사성을 띠며, 플럭의 밀도는 형성된 플럭 크기의 함수가 된다. 플럭의 크기가 증가할수록 플럭의 프랙탈 차원이 감소하며, 플럭의 밀도는 감소한다. 많은 이전의 연구에서 플럭의 침강 속도를 농도에 따른 함수로 가정하고 경험식을 이용하여 산정하나, 유사 입자의 침강 속도는 크기와 밀도의 함수임을 Stokes Law를 통해 생각해 볼 수 있다. 이에 본 연구에서는 응집 현상의 결과물로 형성된 응집물의 크기와 밀도를 각각 산정하고, Stokes Law를 이용하여 침강 속도와 응집물 크기의 관계에 대한 연구를 수행하고자 한다. 보다 심도 있는 연구를 위해서는 응집 현상을 야기하는 메커니즘에 대한 이해가 필수적이다. 간소화된 응집 모형으로부터 얻어진 플럭 크기를 이용하여 프랙탈 차원, 플럭의 밀도를 산정한다. 형성된 응집물의 크기와 침강 속도의 관계에 대한 이해를 통해 보다 정확한 플럭의 침강 속도 산정이 가능할 것으로 생각된다.

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초미세 당귀분말 첨가 시럽의 제조 기술 개발 (Development of Ultrafine Angelica Powder-Added Syrup)

  • 심재성;최경옥;김동은;선주호;강위수;임정대;고상훈
    • 산업식품공학
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    • 제13권1호
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    • pp.44-49
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    • 2009
  • Angelicae gigantis Radix (dried root of Angelica gigas) including major bioactives such as decursin and decursinol angelate provides rich flavors and several healthy benefits. Recent studies have shown that ultrafine powders of herbal medicines provide better physical properties and biological activities. Thus, ultrafine Angelica powder was added into the oligosaccharide syrup to provide flavors and healthy benefits in this study. Angelicae gigantis Radix was pulverized into d(0.1) = 3.220, d(0.5) = 7.822, and d(0.9) = 7.817 $\mu$m respectively using an air-flow mill. The ultrafine Angelica powder was added into the oligosaccharide syrup process with different ratios of water to oligosaccharide syrup at 1:5, 1:8, 1:11, and 1:14. The physicochemical properties such as viscosity and bulk density were measured. The Stokes' law was applied to predict the sedimentation velocity of the added Angelica powder in the syrup. The Angelica syrup prepared in this experiment showed good stability since the Angelica particles precipitated down slowly. The ratio of water to oligosaccharide syrup at 1:11 showed the optimal preparation in terms of the stability and the viscosity. The ultrafine-sized herbal powders such as Angelicae gigantis Radix have potentials for various food and pharmaceutical applications.

대두입자가 분산된 두유에서 기름입자의 입도분포 측정 (The Measurement of Oil Globule Size Distribution in the Soymilk Suspended with the Soybean Particle)

  • 정제봉;윤석권;손헌수
    • 한국식품과학회지
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    • 제22권4호
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    • pp.369-372
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    • 1990
  • 두유에는 기름의 양이나 입도를 분석하는데 장해를 주는 대두단백질, 미세한 대두입자들이 공존하고 있어서 기존의 microscopic image analysis, coulter counter, 또는 Photo-analysis 등의 사용이 많은 문제점을 노출했다. 본 실험에서 Stokes 법칙을 응용하여, 중력장과 원심력장하에서 homogeneous suspension과 cumulative method를 이용하여 입도분포를 분석했다. 선정된 두유에서 기하학적 평균지름은 중력장하에서는 $0.33{\mu}m$ 표준편차 $1.73{\mu}m$이고, 원심력 장에서는 평균지름은 $0.31{\mu}m$, 표준편차는 $1.81{\mu}m$으로, 매우 유사한 결과를 얻었다. 균질압이 유화안정성에 크게 영향을 주는 인자이기 때문에 균질압을 변화했을 때, 균질압이 높을수록 평균입도는 작은 쪽으로 이동하였으며, 입자의 분산 형태는 평균지름을 중심으로 밀도 있게 분포하는 쪽으로 변화하여, 균질압이 기름 입도분포에 영향을 미쳐 유화 안정과 깊은 관계가 있는 것을 확인하였다.

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Modeling of the filling process during resin injection/compression molding

  • Chang, Chih-Yuan
    • Advanced Composite Materials
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    • 제16권3호
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    • pp.207-221
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    • 2007
  • The filling process of resin injection/compression molding (I/CM) can be divided into injection and compression phases. During the resin injection the mold is kept only partially closed and thus a gap is present between the reinforcements and the upper mold. The gap results in preferential flow path. After the gap is filled with the resin, the compression action initiates and forces the resin to penetrate into the fiber preform. In the present study, the resin flow in the gap is simplified by using the Stokes approximation, while Darcy's law is used to calculate the flow field in the fiber mats. Results show that most of the injected resins enter into the gap during the injection phase. The resin injection time is extremely short so the duration of the filling process is determined by the final closing action of the mold cavity. Compared with resin transfer molding (RTM), I/CM process can reduce the mold filling time or injection pressure significantly.

Transport Properties of Dumbbell Molecules by Equilibrium Molecular Dynamics Simulations

  • Lee, Song-Hi
    • Bulletin of the Korean Chemical Society
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    • 제25권5호
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    • pp.737-741
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    • 2004
  • We presents new results for transport properties of dumbbell fluids by equilibrium molecular dynamics (EMD) simulations using Green-Kubo and Einstein formulas. It is evident that the interaction between dumbbell molecules is less attractive than that between spherical molecules which leads to higher diffusion and to lower friction. The calculated viscosity, however, is almost independent on the molecular elongation within statistical error bar, which is contradicted to the Stokes' law. The calculated thermal conductivity increases and then decreases as molecular elongation increases. These results of viscosity and thermal conductivity for dumbbell molecules by EMD simulations are inconsistent with the earlier results of those by non-equilibrium molecular dynamics (NEMD) simulations. The possible limitation of the Green-Kubo and Einstein formulas with regard to the calculations of viscosity and thermal conductivity for molecular fluids such as the missing rotational degree of freedom is pointed out.

차압식 Venturi-cone 유량계에 대한 유동해석 (Numerical Analysis of the Differential Pressure Venturi-cone Flowmeter)

  • 윤준용;맹주성;이정원
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1997년도 추계 학술대회논문집
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    • pp.143-148
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    • 1997
  • Differential pressure Venturi cone flowmeter is an advanced flowmeter which has many advantages such as wide range of measurement, high accuracy, excellent flow turndown ratio, low headless, and short installation pipe length requirement, etc. Like other differential pressure flowmeter, Venturi cone flowmeter uses the law of energy conservation, but its shape and position make it perform better than others. The cone acts as its own flow conditioner and mixer, fully conditioning and mixing the flow prior to measurement. For the analysis, we use Reynolds-averaged Navier-Stokes equations and $k-{\omega}$ turbulence model. The equations are fully trans-formed in the computational coordinates, the pressure-velocity coupling is made through SIMPLER algorithm, and the equations are discretized using analytic solutions of the linearized equations(Finite Analytic Method). At the end of the paper, using the result of analysis, We propose a new shape of cone with the hope of drag reduction and high performance.

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저레이놀즈수 난류에 대한 레이놀즈 응력모델 (A Reynolds Stress Model for Low-Reynolds-Number Turbulence)

  • 김광용
    • 대한기계학회논문집
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    • 제17권6호
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    • pp.1541-1546
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    • 1993
  • 본 연구에서는 새로운 유형의 저레이놀즈수 레이놀즈응력모델을 개발하기 위해 Launder등과 Gibson과 Launder에 의해 제시된 레이놀즈응력모델을 벽근처의 저 레이놀즈수 영역까지 확장하였다. 개발된 모델의 성능을 시험하기 위해 두 평판사이 에서 완전히 발달된 2차원 유동을 계산하여 그 결과를 Kimm등에 의해 수행된Navier- Stokes방정식의 직접계산결과와 비교하였으며, 아울러 Launder와 Shima가 제시한 모델로도 계산을 수행하여 그 결과를 비교 검토하였다.

2차원 지면효과에 대한 수치해석 기법 비교 연구 (Comparative Study on Numerical Analysis Methods on the 2D Ground Effect)

  • 김윤식;신명수;조용진
    • 한국해양공학회지
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    • 제21권3호
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    • pp.16-25
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    • 2007
  • A comparative study on the turbulent flaw simulation and the potential flaw analysis has been performed. A law Mach number preconditioned Navier-Stokes solver, using the multi-block grid method and a panel method based on the velocity potential, have been developed and validated by comparison to the experimental data. The present numerical analysis methods are applied to the ground effect problem around the NACA 4412 airfoil. It has been confirmed that the potential flaw analysis on the ground effect, using the image method, is consistent, to some degree, with the viscous calculations for high Reynolds number flows.