• 제목/요약/키워드: Weissenberg number

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원형관속을 유동하는 점탄성 유체의 입구 영역 열전달 특성에 관한 연구 (The heat transfer characteristics of viscoelastic non-newtonian fluids in the entrance region of circular tube flows)

  • 엄정섭;황태성;유상신
    • 대한기계학회논문집
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    • 제13권5호
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    • pp.1032-1043
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    • 1989
  • 본 연구에서는 해석적으로 열적 입구 길이를 규명하는데 필요한 와류 열확산 계수를 실험 결과를 이용하여 결정하고, 시험관 입구의 형상 변화가 열전달 특성에 미치는 영향을 실험적으로 결정하며, 열적 입구 길이 영역에서 국소 열전달 계수를 표시할 수 있는 실험식을 제시하고, 유체의 전단율에 따른 점성 계수의 실험 결과와 점탄성 유체의 특성시간을 이용한 새로운 무차원 수인 Weissenberg수를 결정하여 퇴화 현상을 분석하고저 한다.

Micro and macro in the dynamics of dilute polymer solutions: Convergence of theory with experiment

  • Prakash, J. Ravi
    • Korea-Australia Rheology Journal
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    • 제21권4호
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    • pp.245-268
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    • 2009
  • Recent developments in dilute polymer solution rheology are reviewed, and placed within the context of the general goals of predicting the complex flow of complex fluids. In particular, the interplay between the use of polymer kinetic theory and continuum mechanics to advance the microscopic and the macroscopic description, respectively, of dilute polymer solution rheology is delineated. The insight that can be gained into the origins of the high Weissenberg number problem through an analysis of the configurational changes undergone by a single molecule at various locations in the flow domain is discussed in the context of flow around a cylinder confined between flat plates. The significant role played by hydrodynamic interactions as the source of much of the richness of the observed rheological behaviour of dilute polymer solutions is highlighted, and the methods by which this phenomenon can be incorporated into a macroscopic description through the use of closure approximations and multi scale simulations is discussed.

Oldroyd B 유체의 평면 수축 유동에 관한 수치 해석적 연구 (A Numerical Study on the Planar Contraction Flow of Oldroyd B Fluids)

  • 유정열;나양
    • 유변학
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    • 제2권1호
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    • pp.33-45
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    • 1990
  • This study analyzes the planar 4:1 contraction flow of viscoelastic fluids with retardation time using finite volume method. To consider separately the elasticity effect of the viscoelastic fluid without shear thinn-ing effect, Oldroyd B liquid model is adopted for the numerical simulation. Instead of the stream function-vorticity formulation, SIMPLER algorithm with staggered grid system which incorporates primitive variable has been introduced in discretizing the momentum equations. An upwind corrected scheme has been used in discetizing the constitutive equations for the non-Newtonian part of the stress. The size of the corner vortex is shown to be slightly influenced by the Weissenberg number. However as the Weissenberg number is increased the chang-ing of the vortex shape agrees qualitatively well with some experimental studies.

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Direct numerical simulations of viscoelastic turbulent channel flows at high drag reduction

  • Housiadas Kostas D.;Beris Antony N.
    • Korea-Australia Rheology Journal
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    • 제17권3호
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    • pp.131-140
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    • 2005
  • In this work we show the results of our most recent Direct Numerical Simulations (DNS) of turbulent viscoelastic channel flow using spectral spatial approximations and a stabilizing artificial diffusion in the viscoelastic constitutive model. The Finite-Elasticity Non-Linear Elastic Dumbbell model with the Peterlin approximation (FENE-P) is used to represent the effect of polymer molecules in solution, The corresponding rheological parameters are chosen so that to get closer to the conditions corresponding to maximum drag reduction: A high extensibility parameter (60) and a moderate solvent viscosity ratio (0.8) are used with two different friction Weissenberg numbers (50 and 100). We then first find that the corresponding achieved drag reduction, in the range of friction Reynolds numbers used in this work (180-590), is insensitive to the Reynolds number (in accordance to previous work). The obtained drag reduction is at the level of $49\%\;and\;63\%$, for the friction Weissenberg numbers 50 and 100, respectively. The largest value is substantially higher than any of our previous simulations, performed at more moderate levels of viscoelasticity (i.e. higher viscosity ratio and smaller extensibility parameter values). Therefore, the maximum extensional viscosity exhibited by the modeled system and the friction Weissenberg number can still be considered as the dominant factors determining the levels of drag reduction. These can reach high values, even for of dilute polymer solution (the system modeled by the FENE-P model), provided the flow viscoelasticity is high, corresponding to a high polymer molecular weight (which translates to a high extensibility parameter) and a high friction Weissenberg number. Based on that and the changes observed in the turbulent structure and in the most prevalent statistics, as presented in this work, we can still rationalize for an increasing extensional resistance-based drag reduction mechanism as the most prevalent mechanism for drag reduction, the same one evidenced in our previous work: As the polymer elasticity increases, so does the resistance offered to extensional deformation. That, in turn, changes the structure of the most energy-containing turbulent eddies (they become wider, more well correlated, and weaker in intensity) so that they become less efficient in transferring momentum, thus leading to drag reduction. Such a continuum, rheology-based, mechanism has first been proposed in the early 70s independently by Metzner and Lamley and is to be contrasted against any molecularly based explanations.

점탄성 효과를 가진 사출 유동에 관한 연구 (A Study on the Injection Flow with Viscoelastic Effect)

  • 전언찬;박정우;김수용;이철장;안광우
    • 한국기계가공학회지
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    • 제7권3호
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    • pp.25-29
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    • 2008
  • In this paper, we design internal space in plunger-type low pressure vacuum injection molding machine from numerical study. And we study characteristic of viscoelastic flow for searching injection molding condition. Then the flow analysis was performed using the CAE S/W. The result shows optimal value of nozzle and hole in injection chamber. And we investigated qualitatively relationship between injection pressure and injection mass flow with variable shear rate

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수용액 내에서 수용성개시제를 이용한 단분산성 폴리메타크릴산의 용액중합 (Preparation of Monodisperse Poly(Methacrylic acid) with a Water-Soluble Initiator by Solution Polymerization in the Aqueous Phase)

  • 문지연;정경호;박문수
    • Elastomers and Composites
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    • 제48권4호
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    • pp.294-299
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    • 2013
  • 수용성 단량체인 메타크릴산 (MAA)을 단량체로 potassium persulfate (KPS)를 개시제로 이용하여 $70^{\circ}C$에서 $90^{\circ}C$ 사이의 선택된 온도에서 용액중합을 진행하였다. 물에 대한 메타크릴산의 농도가 감소하거나 개시제의 농도가 증가하면 분자량은 감소하였다. 중합반응온도는 폴리메타크릴산 (PMAA)의 분자량에 크게 영향을 미치지 않았다. Weissenberg 효과는 대부분의 반응온도에서 나타났으며, $90^{\circ}C$에서는 약하게 관찰되었다. 대부분의 중합반응에서 분산성지수는 1.5 이하로 관찰되었다. 교반속도가 증가하면서 분자량은 점진적으로 증가하다, 교반속도가 800 rpm에 이르면서 수평균 및 중량평균분자량이 동일하게 791,000 g/mol의 분자량을 갖는 단분산성의 PMAA가 구하여졌다. 유리전이온도는 $162^{\circ}C$로 측정되었다.

점탄성유체의 저항 및 열전달 감소현상과 퇴화의 영향에 관한 연구 (A Study on the Drag and Heat Transfer Reduction Phenomena and Degradation Effects of the Viscoelastic Fluids)

  • 엄정섭;전찬열;유상신
    • 설비공학논문집
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    • 제2권1호
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    • pp.37-48
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    • 1990
  • The drag and heat transfer reduction phenomena and degradation effects of drag reducing polymer solutions which are known as the viscoelastic fluids are investigated experimentally for the turbulent circular tube flows. Two stainless steel tubes are used for the experimental flow loops. Aqueous solutions of Polyacrylamide Separan AP-273 with concentrations from 300 to 1000 wppm are used as working fluids. Flow loops are set up to measure the friction factors and heat transfer coefficients of test tubes in the once-through system and the recirculating flow system. Test tubes are heated by power supply directly to apply constant heat flux boundary conditions on the wall. Capillary tube viscometer and falling ball viscometer are used to measure the viscous characteristics of fluids and the characteristic relaxation time of a fluid is determined by the Powell-Eyring model. The order of magnidude of the thermal entrance length of a drag reducing polymer solution is close to the order of magnitude of the laminar entrance length of Newtonian fluids. Dimensionless heat transfer coefficients of the viscoelastic non-Newtonian fluids may be represented as a function of flow behavior index n and newly defined viscoelastic Graetz number. As degradation continues viscosity and the characteristic relaxation time of the testing fluids decrease and heat transfer coefficients increase. The characteristic relaxation time is used to define the Weissenberg number and variations of friction factors and heat transfer coefficients due to degradation are presented in terms of the Weissenberg number.

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비등온 방사공정에서의 Draw Resonance (Draw Resonance in Non-isothermal Spinning)

  • 현재천
    • 유변학
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    • 제1권1호
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    • pp.71-79
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    • 1989
  • 임계연신비로 특징지어지는 비등온 방사공정에서의 Draw Resonance 발생을, White 의 변형속도에 따라 변하는 물질의 이완시간 모델에 의한 convected Maxwell 유체의 방사 모형을 사용해서 연구했다. 임계연신비의 계산에는 다른 연구자들이 이용하는 통상의 복잡 한 수치계산인 eigenvalue 방법을 쓰지 않고 전파하는 동적 waves 에 근거한 간단한 Hyun 의 이론을 사용했다. 그 결과 Staton Number와 냉각 공기온도로서 나타내지는 방사공정의 냉각이 공정을 안정시킨다는 것이 밝혀졌다. 다시 말해서 연신점도가 변형후화인 유체이거 나 변형박화인 유체이거난 상관없이 항상 Stanton Number가 켜지거나 또는 냉각공기온도 가 낮아질수록(즉냉각효과가 커질 때) 임계연신비가 커지는 것이다(단변형박화 dvcp의 빌부 구간을 제외하고) 한편 Draw Resonacnce 에 미치는 냉각의 효과는 무차원 이완시간(a Weissenberg Number 혹은 a Deborah number)이 커질수록 작아진다는 것도 발견됐다. 이 것은 process Time 이 작아지면 열전달이 작아지기 때문이다. 이러한 내용들은 다른 연구 자들의 결과와도 잘 부합된다.

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