• Title/Summary/Keyword: 멱법칙유체유동

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Asymptotic Approach to Pressure Drop and Heat Transfer in a Rectangular Pipe with Shear-thickening Fluids (사각형 단면 파이프 내에서의 Shear-thickening 유체를 이용한 압력강하 및 열전달 예측에 대한 점근적 해석)

  • Lee, Dong-Ryul
    • Journal of the Korean Society of Mechanical Technology
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    • v.13 no.4
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    • pp.23-30
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    • 2011
  • 본 연구는 산업용 열교환기 및 상용 파이프의 최적 설계를 위하여 열교환기 내의 사각형 단면 파이프의 shear-thickening 비뉴톤 유체의 압력강하 및 대류 열전달률을 수치해석적으로 수행하였다. shear-thickening 유체의 구성 방정식은 기존의 비뉴톤 유체 멱법칙을 보완한 확장 멱법칙 모델을 채택하였다. 파이프 내의 압력강하를 의미하는 마찰계수와 확장 레이놀즈 수의 곱은 기존 연구의 비교자료와 비교할 때 뉴톤 유체 영역과 멱법칙 영역에서 각각 0.018% 및 0.06% 내에서 일치함을 보였고, 대류 열전달률을 의미하는 뉴셀트 수는 문헌치와 비교할 때 뉴톤 유체 영역과 멱법칙 영역에서 각각 0.025% 및 0.14% 내에서 일치함을 보였다. 비뉴톤 확장 멱법칙 유체 모델의 형태를 띠는 shear-thickening 유체를 열교환기 또는 상용파이프 내의 사각형 단면 파이프 내에서 사용하면 유동지수(n)에 따라서 뉴톤 유체보다 최대 160%의 압력강하를 증가시켰고 최대 14%의 대류 열전달 감소를 발생시킬 수 있었다.

A Comparative Study on Constitutive Equations of Human Blood (인체혈액의 구성방정식에 관한 비교연구)

  • 서상호
    • The Korean Journal of Rheology
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    • v.6 no.2
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    • pp.157-164
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    • 1994
  • 인체 동맥혈관내 혈액의 유동현상을 수치적으로 해석하기 위해서는 혈액의 유변학 적 성질을 구성방정식으로 나타내어야한다. 본 연구에서는 혈액의 점성계수를 표현하기 위 하여 비뉴턴유체의 점성을 나타내는 식으로서 Carreau 모델, 수정 Cross 모델, 수정 Powell-Eyring 모델과 수정멱법칙모델을 사용하였고 원형관내 혈액의 정상유동을 수치모사 하기 위하여 겉보기점성계수를 이용하는 구성방정식을 운동량방정식에 적용하였다. Carreau 모델과 수정멱법칙모델을 적용할 때 레이놀즈수의 변화가 중심선상의 속도와 길이방향의 압 력변화에 미치는 영향을 고찰하였다. 전단율이 높은영역에서 혈액의 겉보기점성계수를 효과 적으로 나타낼수 있는 수정멱법칙모델을 제시하였다.

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Flow and Displacement of Non-Newtonian Fluid(Power-Law Model) by Surface Tension and Gravity Force in Inclined Circular Tube (경사진 원형관에서 표면장력과 중력에 의한 비뉴턴 유체(멱법칙 모델)의 유동 및 변위)

  • Moh, Jeong Hah;Cho, Y.I.
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.38 no.1
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    • pp.9-16
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    • 2014
  • This paper presents the theoretical analysis of a flow driven by surface tension and gravity in an inclined circular tube. A governing equation is developed for describing the displacement of a non-Newtonian fluid(Power-law model) that continuously flows into a circular tube owing to surface tension, which represents a second-order, nonlinear, non-homogeneous, and ordinary differential form. It was found that quantitatively, the theoretical predictions of the governing equation were in excellent agreement with the solutions of the equation for horizontal tubes and the past experimental data. In addition, the predictions compared very well with the results of the force balance equation for steady.

Analysis of Geometric Parameters for Fully Developed Laminar Flow Between Cylinders Arranged in Regular Array (정규배열내의 실린더 사이에서의 완전발달된 층류 유동의 기하학적 계수의 해석)

  • 이동렬
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.5
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    • pp.1037-1049
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    • 2001
  • Considerable interest has evolved in the flow of non-Newtonian fluids in channels of noncircular cross section in compact heat exchanges. Analytical solution was developed for prediction of the flow rate and maximum velocity in steady laminar flow of any incompressible, time-independent non-Newtonian fluids in straight closed and open channels of arbitrary, but axially unchanging cross section. The geometric parameters and function of shear describing the behavior of the fluid model were evaluated for fluid flow among a bundle of rods arranged in triangular and square array. Numerical values of dimensionless maximum velocities, mean velocities, pressure-drop-flow parameters and friction factors were evaluated as a function of porosity and pitch-to-radius ratio.

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Flow Analysis of the Modified Power-Law Non-Newtonian Fluids in the Stenotic Tubes (수정멱법칙 비뉴턴유체의 협착관내 유동장해석)

  • Sub, S.H.;Yoo, S.S.;Chang, N.I.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.6 no.3
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    • pp.227-236
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    • 1994
  • Steady flows of Newtonian and non-Newtonian fluids in the stenotic tubes with various stenotic shapes are numerically simulated. Validity of the modified power-law model as a constitutive equation for the purely viscous non-Newtonian fluid is discussed and the results of the power-law model are compared with those of the Carreau model, the Powell-Eyring model and experimental data for blood. Flow characteristics and reattachment lengths for non-Newtonian fluids in the stenotic tubes are presented extensively. Also, the analysis is extended to predict the influences of diameter ratio, stenosis spacing, number of stenosis and Reynolds number on the flow characteristics in the multiple stenotic tubes.

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Steady Flow Analyses of Blood and the Blood Analogue Fluids in the Stenosed Circular and bifurcated Tubes (협착이 발생된 원관과 분기관내 혈액과 혈액대용유체의 정상유동해석)

  • 유상신
    • The Korean Journal of Rheology
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    • v.7 no.2
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    • pp.150-157
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    • 1995
  • 본 논문의 목적은 협착이 발생괸 원관과 분기관내 혈액과 혈액대용유체의 유동문제 에 수치해석방법을 적용하여 유동특성을 파악하는데 있다. 혈액대용유체로서는 Separan AP-273 500wppm 수용액과 Carpobol 934 1.0w% 수용액을 사용하였다. Carbopol 수용액의 유변학적 성질은 수정멱법칙모델, 그리고 혈액과 Separan 수용액의 유변학적 성질은 Carreau 모델로 나타내었다. 협착관유동에서 Carbopol 수용액의 재부착거리는 혈액이나 Separan 수용액의 경우보다 길고 협착으로 인한 압력강하는 Carbopol 수용액, 혈액, Separan 수용액의 순으로 작게 나타난다. 분기관유동에서 Separan 수용액의 압력손실은 혈 액과 Carbopol 수용액보다 작게 나탄나고 협착이 발생괸 부기관내에서 혈액과 Separan 수 용액의 압력손실은 협착이 없는 분기관의 압력손실보다 크게 증가한다.

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Investigation of Pressure Drop for a Pseudo-plastic Fluid Flow in Isosceles Triangle Pipes (이등변삼각형 단면을 갖는 파이프 내의 Pseudo-Plastic 유체유동에 대한 압력강하의 연구)

  • Lee, D.R.
    • Journal of Power System Engineering
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    • v.13 no.2
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    • pp.30-35
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    • 2009
  • Numerical Calculations for dimensionless pressure drop (friction factor times Reynolds number) have been obtained for fully developed laminar flow of MPL(Modified Power Law) fluid in isosceles triangle pipes. The solutions are valid for Pseudoplastic fluids over a wide range from Newtonian behavior at low shear rates through transition region to power law behavior at higher shear rates. The analysis identified a dimensionless shear rate parameter which for a given set of operating conditions specifies where in the shear rate range a particular system is operating, i.e., Newtonian, transition or power law region. The numerical calculation data of the dimensionless pressure drop for the Newtonian and power law regions are compared with previously published asymptotic results presenting within 0.16 % in Newtonian region and 2.98 % in power law region.

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Study of Flow Characteristics of Gel Propellant through Various Injector Geometries (인젝터 형상 변화에 따른 Gel 추진제의 유동 특성 연구)

  • Oh, Jeong-Su;Jeon, Doo-Sung;Choi, Sang-Tae;Kim, Deok-Yoon;Choi, Yang-Ho;Lee, Jeong-Hyuk;Moon, Hee-Jang
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2010.11a
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    • pp.300-303
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    • 2010
  • The present study investigates the flow characteristics of simulant gel propellant(carbopol 0.5%wt) in a variety of injectors. Rheological data for gel propellant has been measured and injector flow characteristics for plain-orifice, chamfered-orifice and venturi type injector have been numerically analyzed. The apparent viscosity of plain-orifice and chamfered-orifice have tendency to increase along axial direction, whereas for venturi type injector, low viscosity has been achieved in the injector flow. This phenomenon was clearly pronounced as Reynolds number is increased.

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Numerical Study of Aggregation and Breakage of Particles in Taylor Reactor (테일러 반응기 내의 입자응집과 분해에 관한 수치 연구)

  • Lee, Seung Hun;Jeon, Dong Hyup
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.40 no.6
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    • pp.365-372
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    • 2016
  • Using the computational fluid dynamics (CFD) technique, we simulated the fluid flow in a Taylor reactor considering the aggregation and breakage of particles. We calculated the population balance equation (PBE) to determine the particle-size distribution by implementing the quadrature method-of-moment (QMOM). It was used that six moments for an initial moments, the sum of Brownian kernel and turbulent kernel for aggregation kernel, and power-law kernel for breakage kernel. We predicted the final mean particle size when the particle had various initial volume fraction values. The result showed that the mean particle size and initial growth rate increased as the initial volume fraction of the particle increased.

Modeling on Rheological Behavior of Cement Paste under Squeeze Flow (압축 유동하에 있는 시멘트 페이스트의 유변학적 거동에 관한 모델링)

  • Min, Byeong-Hyeon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.9
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    • pp.405-413
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    • 2020
  • The normal stress of cement paste measured under squeeze flow is divided into an elastic solid region at strains between 0.0003 and 0.003 and a strain-hardening region at strains of 0.003 and 0.8. A modeling equation at the strain-hardening region was proposed. First, from the viewpoint of fluid behavior, the power-law non-Newtonian fluid model, with a power-law consistency (m) of 700 and a power index (n) of 0.2, was applied. The results showed good agreement with the experimental results except for an elastic solid region. Second, from the viewpoint of ductile yielding solid behavior, the force balance model was applied, and the friction coefficient between the sensor part measuring the load and the surface of the cement paste was derived as a polynomial of the normal strain by applying the half-interval search method to the experimental data. The results showed good agreement with the experimental results only in the middle normal strain region at strains between 0.003 and 0.3. The rheological behavior of the cement paste under squeeze flow was more consistent with the experimental results from the viewpoint of power-law non-Newtonian fluid behavior than from the viewpoint of ductile yielding solid behavior in the strain-hardening region.