• 제목/요약/키워드: Non-newtonian Flow Equation

검색결과 35건 처리시간 0.025초

Experimental studies on the axisymmetric sphere-wall interaction in Newtonian and non-Newtonian fluids

  • Lee, Sang-Wang;Sohn, Sun-Mo;Ryu, Seung-Hee;Kim, Chongyoup;Song, Ki-Won
    • Korea-Australia Rheology Journal
    • /
    • 제13권3호
    • /
    • pp.141-148
    • /
    • 2001
  • In this research, experimental studies leave been performed on the hydrodynamic interaction between a spherical particle and a plane wall by measuring the force between the particle and wall. To approach the system as a resistance problem, a servo-driving system was set-up by assembling a microstepping motor, a ball screw and a linear motion guide for the particle motion. Glycerin and dilute solution of polyacrylamide in glycerin were used as Newtonian and non-Newtonian fluids, respectively. The polymer solution behaves like a Boger fluid when the concentration is 1,000 ppm or less. The experimental results were compared with the asymptotic solution of Stokes equation. The result shows that fluid inertia plays all important role in the particle-wall interaction in Newtonian fluid. This implies that the motion of two particles in suspension is not reversible even in Newtonian fluid. In non-Newtonian fluid, normal stress difference and viscoelasticity play important roles as expected. In the dilute solution weak shear thinning and the migration of polymer molecules in the inhomogeneous flow field also affect the physic of the problem.

  • PDF

준설토의 관로유송 (Pipeline Transport of Dredged Soils)

  • 유동훈;김성오;선우중호
    • 한국해안해양공학회지
    • /
    • 제8권1호
    • /
    • pp.114-122
    • /
    • 1996
  • 간척지 매립에 있어서 최근에는 토사를 해저에서 준설하여 파이프라인을 통해 유송시켜 매립시키는 방법이 많이 쓰여지고 있다. 이러한 경우 토사와 혼합된 유체는 slurry fluid의 성질을 지닌다. slurry fluid는 점성도가 독특한 양상을 보이기 때문에 준설토 유송의 관련수치 산정에는 slurry flow 특성을 반영한 관마찰계수 산정식을 사용해야 한다. 준설토를 함유한 slurry fluid는 주로 함유된 입자의 크기에 따라 Newtonian fluid 또는 non-Newtonian fluid 특성을 갖는데, 본 연구에서는 각 특성조건별로 관마찰계수 산정식을 지수함수 형태로 제시하였으며, 이를 이용하여 준설토 유송을 위한 용량산정에 있어 펌프동력 뿐만 아니라 관경 및 유량에 대하여도 양해법 형태의 산정식을 개발하였다.

  • PDF

Sodium bis-(2-ethylhexyl)sulfosuccinate-water 미셀의 틱소트로 피와 다일레턴시 유동단위에 대한 비뉴톤 유동메카니즘 (Non-Newtonian Flow Mechanism for Thixotropic and Dilatant Flow Units of Sodium bis-(2-ethylhexyl)sulfosuccinate-water Micelles)

  • 김남정
    • 한국응용과학기술학회지
    • /
    • 제33권3호
    • /
    • pp.540-548
    • /
    • 2016
  • sodium bis-(2-ethylhexyl)sulfosuccinate-water 라멜라 액정의 비뉴톤 유동곡선을 cone-plate 레오메타를 사용하여 여러 농도와 온도 조건에서 얻었다. 이러한 비뉴톤 유동곡선을 비뉴톤 유동식에 적용하여 유동파라메타를 구하였다. 특별히 주목할 점은 액정시료의 전단속도에 대한 전단응력은 증가와 감소에서 틱소트로피와 다일레턴시 현상을 보여 hysteresis loop를 나타내고 있다는 점이다. sodium bis-(2-ethylhexyl)sulfosuccinate-water 라멜라 액정은 작은 전단속도에서는 약한 젤 현상을 보이지만 응력이 한계 응력 이상에서는 비 선형 점탄성 성질을 나타낸다. 전단속도 감소에서 분산계는 전단속도가 증가할 때 측정된 값 보다는 큰 구조변화와 전단응력을 유지하고 있다.

Non-Newtonian Intrinsic Viscosities of Biopolymeric and Nonbiopolymeric Solutions (I)

  • Jang, Chun-Hag;Kim, Jong-Ryul;Ree, Tai-Kyue
    • Bulletin of the Korean Chemical Society
    • /
    • 제8권4호
    • /
    • pp.318-324
    • /
    • 1987
  • Experimental results for viscous flow of poly (${\gamma}$ -methyl L-glutamate) solutions have been published elsewhere. The data of $[{\eta}]^f / [{\eta}]^0$ are expressed by the following equation, $\frac{[{\eta}^f]}{[{\eta}^{\circ}]}=1-\frac{A}{\eta^\circ}{1-\frac{sin^{-1}[{\beta}_2(f/{\eta}_0)\;{e}xp\;(-c_2f^2/{\eta}_0^2kT)]}{{\beta}_2f/{\eta}_0}$ (A1) where $[{\eta}]^f\; and\; [{\eta} ]^0$ are the intrinsic viscosity at shear stress f and zero, respectively, $ A{\equiv}lim\limits_{C{\rightarrow}0}[(1/C)(X_2/{\alpha}_2)({\beta}_2/{\eta}_0)],{\eta}_0$ viscosity of the solvent, ${\beta}_2$ is the relaxation time of flow unit 2, $c_2$ is a constant related to the elasticity of flow unit 2. The theoretical derivation of Eq.(A1) is given in the text. The experimental curves of $[{\eta}]^f / [{\eta}]^0$ vs. log f are compared with the theoretical curves calculated from Eq.(A1) with good results. Eq.(A1) is also applied to non-biopolymeric solutions, and it was found that in the latter case $c_2 = 0.$ The reason for this is explained in the text. The problems related to non-Newtonian flows are discussed.

Computation of viscoelastic flow using neural networks and stochastic simulation

  • Tran-Canh, D.;Tran-Cong, T.
    • Korea-Australia Rheology Journal
    • /
    • 제14권4호
    • /
    • pp.161-174
    • /
    • 2002
  • A new technique for numerical calculation of viscoelastic flow based on the combination of Neural Net-works (NN) and Brownian Dynamics simulation or Stochastic Simulation Technique (SST) is presented in this paper. This method uses a "universal approximator" based on neural network methodology in combination with the kinetic theory of polymeric liquid in which the stress is computed from the molecular configuration rather than from closed form constitutive equations. Thus the new method obviates not only the need for a rheological constitutive equation to describe the fluid (as in the original Calculation Of Non-Newtonian Flows: Finite Elements St Stochastic Simulation Techniques (CONNFFESSIT) idea) but also any kind of finite element-type discretisation of the domain and its boundary for numerical solution of the governing PDE's. As an illustration of the method, the time development of the planar Couette flow is studied for two molecular kinetic models with finite extensibility, namely the Finitely Extensible Nonlinear Elastic (FENE) and FENE-Peterlin (FENE-P) models.P) models.

Non-Newtonian Intrinsic Viscosities of Biopolymeric and Non-biopolymeric Solutions (II)

  • Jang, Chun-Hag;Kim, Chang-Hong;Ree, Taik-Yue
    • Bulletin of the Korean Chemical Society
    • /
    • 제8권4호
    • /
    • pp.332-335
    • /
    • 1987
  • This paper is a continuation of our previous $paper,^1$ and deals with Eq.(1) (see the text), which was theoretically derived in the $paper,^1$$ [{\eta}]^f\; and\; [{\eta}]^0$ is the intrinsic viscosity at stress f and f = O, respectively. Equation (1) predicts how $[{{\eta}}]^f / [{\eta}]^0$ changes with stress f, relaxation time ${\beta}_2$ of flow unit 2 and a constant $c_2$ related with the elasticity of molecular spring of flow unit 2. In this paper, Eq.(1) is applied to a biopolymer, e.g., poly (${\gamma}$-benzyl L-glutamate), and nonbiopolymers, e.g., polyisobutylene, polystyrene, polydimethylsiloxane and cellulose triacetate. It was found that the $c_2$ factor is zero for non-biopolymers while $c_2{\neq}0$ for biopolymers as found $previously.^1$ Because of the non-Newtonian nature of the solutions, the ratio $[{{\eta}}]^f / [{\eta}]^0$ drops from its unity with increasing f. We found that the smaller the ${\beta}_2,$ the larger the $f_c$ at which the viscosity ratio drops from the unity, vice versa.

Poly(methyl acrylate)-Poly(acrylonitrile) 공중합체의 응력완화 (Stress Relaxation of Poly(methyl acrylate)-Poly(acrylonitrile) Copolymers)

  • 김남정
    • Elastomers and Composites
    • /
    • 제47권3호
    • /
    • pp.223-230
    • /
    • 2012
  • 응력완화 실험 곡선을 Eyring-Halsey 비뉴톤 모델의 이론식에 적용하여 poly(methyl acrylate)-poly(acrylonitrile) 공중합체의 유변학적 파라메타를 얻었다. 응력완화 실험은 용매기를 부착한 인장 시험기를 사용하였다. 유동 파라메타를 컴퓨터 프로그램을 이용하여 계산하였다. 이들 시료의 유동 파라메타는 유동 단위의 자체확산, 유동점성, 유동 활성화 에너지와 직접적인 연관을 갖는 것으로 규명되었다.

Numerical study of the effects of periodic body acceleration (PGZ) and bifurcation angle in the stenosed artery bifurcation

  • Ro, Kyoung-Chul;Ryou, Hong-Sun
    • Korea-Australia Rheology Journal
    • /
    • 제21권3호
    • /
    • pp.175-183
    • /
    • 2009
  • This article describes the numerical investigation of blood flow in the stenosed artery bifurcation with acceleration of the human body. Using the commercial software FLUENT, three-dimensional analyses were performed for six simulation cases with different body accelerations and bifurcation angles. The blood flow was considered to be pulsation flow, and the blood was considered to be a non-Newtonian fluid based on the Carreau viscosity model. In order to consider periodic body acceleration, a modified, time-dependent, gravitational-force term was used in the momentum equation. As a result, flow variables, such as flow rate and wall shear stress, increase with body acceleration and decrease with bifurcation angle. High values of body acceleration generate back flow during the diastolic period, which increases flow fluctuation and the oscillatory shear index at the stenosis.

2차 분지가 있는 혈관에서 협착의 위치에 따른 맥동 유동 특성에 대한 수치해석 연구 (Numerical Study on Characteristics of Pulsitile Flow by Location of Stenosis in Blood Vessel with the Second Bifurcation)

  • 이인섭;유홍선
    • 대한기계학회논문집B
    • /
    • 제29권1호
    • /
    • pp.63-70
    • /
    • 2005
  • The main objective of the present study is to predict characteristics of three dimensional pulstitile flow by location of stenosis in blood vessel with the second order bifurcation. The present study simulates the incompressible non-Newtonian laminar blood flows using a Fluent V. 6.0. The Carreau model is employed as the constitutive equation for blood. The numerical simulation carried out at five cases without and with symmetry or asymmetry stenosis. It is found that the no stenosis and stenosis before first bifurcation do not have influence on flow at second bifurcated blood vessel. However, the stenosis after first biburcation has effect on flow at second bifurcated blood vessel.

Laminar Convective Heat Transfer from a Horizontal Flat Plate of Phase Change Material Slurry Flow

  • Kim Myoung-Jun
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제29권7호
    • /
    • pp.779-784
    • /
    • 2005
  • This paper presents the theory of similarity transformations applied to the momentum and energy equations for laminar, forced, external boundary layer flow over a horizontal flat plate which leads to a set of non-linear, ordinary differential equations of phase change material slurry(PCM Slurry). The momentum and energy equation set numerically to obtain the non-dimensional velocity and temperature profiles in a laminar boundary layer are solved. The heat transfer characteristics of PCM slurry was numerically investigated with similar method. It is clarified that the similar solution method of Newtonian fluid can be used reasonably this type of PCM slurry which has low concentration. The data of local wall heat flux and convective heat transfer coefficient of PCM slurry are higher than those of water more than 150$\~$200$\%$, approximately.