• 제목/요약/키워드: steady shear properties

검색결과 74건 처리시간 0.029초

Brownian Dynamics Simulation Study on the Anisotropic FENE Dumbbell Model for Concentrated Polymer Solution and the Melt

  • 심훈구;이창준;김운전;배형석
    • Bulletin of the Korean Chemical Society
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    • 제21권9호
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    • pp.875-881
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    • 2000
  • We study the rheological properties of concentrated polymer solution and the melt under simple shear and elon-gational flow using Brownian dynamicssimulation. In order to describe the anisotropic molecular motion, we modifiedthe Giesekus' mobility tensor by incorporating the finitely extensible non-linear elastic (FENE) spring force into dumbbell model. To elucidate the nature of this model, our simulation results are compared with the data of FENE-P ("P"standsfor the Perterin) dumbbell model and experiments. While in steady state both original FENE and FENE-P models exhibit a similar viscosity response,the growthof viscosity becomes dissimilar as the anisotropy decreases and the flowrate increases. The steady state viscosity obtained from the simulation well describes the experiments including the shear-thinning behavior in shear flow and viscosity-thinning behavior in elongational flow. But the growth of viscosity oforiginal FENE dumbbell model cannot describe the experimental results in both flow fields.

Creep analysis of a rotating functionally graded simple blade: steady state analysis

  • Mirzaei, Manouchehr Mohammad Hosseini;Arefi, Mohammad;Loghman, Abbas
    • Steel and Composite Structures
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    • 제33권3호
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    • pp.463-472
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    • 2019
  • Initial thermo-elastic and steady state creep deformation of a rotating functionally graded simple blade is studied using first-order shear deformation theory. A variable thickness model for cantilever beam has been considered. The blade geometry and loading are defined as functions of length so that one can define his own blade profile and loading using any arbitrary function. The blade is subjected to a transverse distributed load, an inertia body force due to rotation and a distributed temperature field due to a thermal gradient between the tip and the root. All mechanical and thermal properties except Poisson's ratio are assumed to be longitudinally variable based on the volume fraction of reinforcement. The creep behaviour is modelled by Norton's law. Considering creep strains in stress strain relation, Prandtl-Reuss relations, Norton' law and effective stress relation differential equation in term of effective creep strain is established. This differential equation is solved numerically. By effective creep strain, steady state stresses and deflections are obtained. It is concluded that reinforcement particle size and form of distribution of reinforcement has significant effect on the steady state creep behavior of the blade.

Small and Large Deformation Rheological Behaviors of Commercial Hot Pepper-Soybean Pastes

  • Choi, Su-Jin;Kang, Kyoung-Mo;Yoo, Byoung-Seung
    • Food Science and Biotechnology
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    • 제15권6호
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    • pp.871-876
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    • 2006
  • Rheological behavior of commercial hot pepper-soybean paste (HPSP) was evaluated in small amplitude oscillatory and steady shear tests. Storage modulus (G'), loss modulus (G"), and complex viscosity (${\eta}^*$) as a function of angular frequency (${\omega}$), and shear stress (${\sigma}$) as a function of shear rate (${\gamma}$) data were obtained for 5 commercial HPSP samples. HPSP samples at $25^{\circ}C$ exhibited a non-Newtonian, shear-thinning flow behavior with high yield stresses and their flow behaviors were described by power law, Casson, and Herschel-Bulkley models. Time-dependent flow properties were also described by the Weltman, Hahn, and Figoni & Shoemaker models. Apparent viscosity over the temperature range of $5-35^{\circ}C$ obeyed the Arrhenius temperature relationship with activation energies (Ea) ranging 18.3-20.1 kJ/mol. Magnitudes of G' and G" increased with an increase in ${\omega}$, while ${\eta}^*$ decreased. G' values were higher than G" over the most of the frequency range (0.63-63 rad/sec), showing that they were frequency dependent. Steady shear viscosity and complex viscosity of the commercial HPSP did not fit the Cox-Merz rule.

Effects of Extraction Methods on In Vitro Biological Capacities and Rheological Properties of Polysaccharides from Red Pepper Stems

  • Yoo, Sang-Hun;Chang, Yoon Hyuk
    • Preventive Nutrition and Food Science
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    • 제22권3호
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    • pp.223-230
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    • 2017
  • The purposes of this study were to produce polysaccharides from red pepper stems using different extraction methods and evaluate their chemical composition, in vitro biological capacities, and rheological properties. Two polysaccharides were extracted from red pepper stems using an autoclave and alkali treatments, and the extracts were named PAU and PAL, respectively. The contents of total phenolics and flavonoids were significantly higher in PAU than those in PAL. PAU exhibited greater scavenging activities on 2,2-diphenyl-1-picrylhydrazyl radicals, 2,2'-azino-bis(3-ethylbenzothiazoline-6-sulfonic acid) diammonium salt radicals, superoxide radicals, and nitrite compared to PAL, suggesting that PAU served as better antioxidants. Similarly, in vitro inhibitory abilities against carbohydrate hydrolyzing enzymes of PAU were higher than those of PAL. Steady shear rheological analysis demonstrated that PAU showed higher psuedoplastic shear-thinning behavior compared to PAL. Based on the results from dynamic shear rheological properties, it was found that both samples had predominantly viscous behavior rather than elastic behavior.

Rheological properties of chitosan solutions

  • Hwang, Jae-Kwan;Shin, Hae-Hun
    • Korea-Australia Rheology Journal
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    • 제12권3_4호
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    • pp.175-179
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    • 2000
  • Rheological properties of chitosan solutions were investigated as a function of polymer concentration. The viscosity curves for chitosan solutions consisted of two distinct viscosity regions, the Newtonian zero-shear viscosity (η$_{0}$) region and the shear rate dependent apparent viscosity (η$_{app}$) region. The shear rate dependence of viscosity was more clearly observed at higher chitosan concentrations. The critical coil overlap parameter (C*〔η〕) was determined to be approximately 3.2 from a plot of zero-shear specific viscosity η$_{sp,0}$ vs coil overlap parameter (C〔η〕), which was lower than C〔η〕4.0 reported for other random coil polysaccharides. It was also found that the slope of η$_{sp,0}$ vs C〔η〕 was 3.9 at concentrated C〔η〕>C*〔η〕domain, while 1.2 at dilute C〔η〕$_{0}$ ${\gamma}$/${\gamma}$$_{0.8}$ relation.ion.n.n.

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Emulsion rheology and properties of polymerized high internal phase emulsions

  • Lee, Seong-Jae
    • Korea-Australia Rheology Journal
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    • 제18권4호
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    • pp.183-189
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    • 2006
  • High internal phase emulsions are highly concentrated emulsion systems consisting of a large volume of dispersed phase above 0.74. The rheological properties of high internal phase water-in-oil emulsions were measured conducting steady shear, oscillatory shear and creep/recovery experiments. It was found that the yield stress is inversely proportional to the drop size with the exponent of values between 1 and 2. Since the oil phase contains monomeric species, microcellular foams can easily be prepared from high internal phase emulsions. In this study, the microcellular foams combining a couple of thickeners into the conventional formulation of styrene and water system were investigated to understand the effect of viscosity ratio on cell size. Cell size variation on thickener concentration could be explained by a dimensional analysis between the capillary number and the viscosity ratio. Compression properties of foam are important end use properties in many practical applications. Crush strength and Young's modulus of microcellular foams polymerized from high internal phase emulsions were measured and compared from compression tests. Of the foams tested in this study, the foam prepared from the organoclay having reactive group as an oil phase thickener showed outstanding compression properties.

Study of shear and elongational flow of solidifying polypropylene melt for low deformation rates

  • Tanner, R.I.;Kitoko, V.;Keentok, M.
    • Korea-Australia Rheology Journal
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    • 제15권2호
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    • pp.63-73
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    • 2003
  • An experimental technique was developed to determine the strain-rate in a tensile specimen. Then one can calculate the transient isothermal elongational viscosity. Both shear and elongational viscosities were measured to study the effect of shear and elongational fields on the flow properties. The comparison between these viscosities shows that the onset of rapid viscosity growth as crystallization solidification proceeds occurs at about the same value of time at very small deformation rates (0.0028 and 0.0047 $s^{-1}$). The comparison of these measured viscosities as functions of shear and elongational Hencky strains also reveals that the onset of rapid viscosity growths starts at critical Hencky strain values. The behaviour of steady shear viscosity as function of temperature sweep was also explored at three different low shear rates. Finally, the influence of changing oscillatory frequencies and strain rates was also investigated.

Constitutive Equations for Dilute Bubble Suspensions and Rheological Behavior in Simple Shear and Uniaxial Elongational Flow Fields

  • Seo Dongjin;Youn Jae Ryoun
    • Fibers and Polymers
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    • 제6권2호
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    • pp.131-138
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    • 2005
  • A theoretical model is proposed in order to investigate rheological behavior of bubble suspension with large deformation. Theoretical constitutive equations for dilute bubble suspensions are derived by applying a deformation theory of ellipsoidal droplet [1] to a phenomenological suspension theory [2]. The rate of deformation tensor within the bubble and the time evolution of interface tensor are predicted by applying the proposed constitutive equations, which have two free fitting parameters. The transient and steady rheological properties of dilute bubble suspensions are studied for several capillary numbers (Ca) under simple shear flow and uniaxial elongational flow fields. The retraction force of the bubble caused by the interfacial tension increases as bubbles undergo deformation. The transient and steady relative viscosity decreases as Ca increases. The normal stress difference (NSD) under the simple shear has the largest value when Ca is around 1 and the ratio Of the first NSD to the second NSD has the value of 3/4 for large Ca but 2 for small Ca. In the uniaxial elongational flow, the elongational viscosity is three times as large as the shear viscosity like the Newtonian fluid.

점탄성 고분자 용액의 정상유동특성과 동적 유변학적 성질의 상관관계 -비선헝 스트레인 척도를 사용한 Cox-Merz 법칙의 검증- (Relationship between Steady Flow and Dynamic Rheological Properties for Viscoelastic Polymer Solutions - Examination of the Cox-Merz Rule Using a Nonlinear Strain Measure -)

  • 송기원;김대성;장갑식
    • 유변학
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    • 제10권4호
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    • pp.234-246
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    • 1998
  • 본 연구의 목적은 고분자 농후용액의 정상유동특성(비선형 거동)과 소진폭 전단변형하에서의 동적 점탄성(선형 거동) 간에 존재하는 상관관계를 파악함에 있다. 이를 위해 Advanced Rheometric Expansion System(ARES)과 Rheometrics Fluids Spectrometer (RFS II)를 사용하여 폴리에틸렌 옥사이드, 폴리이소부틸렌 및 폴리아크릴 아마이드 농후용액의 정상류점도 및 동적 선형 점탄성을 광범위한 전단속도와 각주파수 영역에서 측정하였다. 이들 측정결과로부터 정상류점도와 동적점도 또는 동적 유동성간의 상관관계를 제시한 몇 가지 관계식의 적용성을 비교.검토하였다. 그리고 정상류점도와 복소점도의 절대치를 비교하여 양자간의 등가관계를 나타내는 Cox-Merz 법칙의 적용성에 대한 농도의 영향을 실험적으로 검증하였다. 나아가서 대변형하에서의 비선형성의 정도를 나타내는 비선형 스트레인 척도의 개념을 도입하여 Cox-Merz 법칙의 적용성에 미치는 영향을 이론적 관점에서 고찰하였다. 이상의 연구를 통해 얻어진 결과를 요약하면 다음과 같다. (1) 정상류점도의 전단속도 의존성과 동적 점탄성의 각주파수 의존성간에 제시된 여러 관계식들 중에서 정상류점도와 복소점도 절대치간의 등가관계를 나타내는 Cox-Merz법칙이 가장 우수한 적용성을 갖는다. (2) 높은 전단속도 또는 각주파수 영역에서는 정상류점도와 복소점도의 관계가 용액 농도에 따라 서로 상이하게 나타난다. 즉 낮은 농도의 용액에서는 정상류점도가 복소점도에 비해 다소 큰 값을 나타내며, 농도가 증가할수록 이러한 경향은 역전되어 높은 농도의 용액에서는 복소점도가 정상류점도에 비해 큰 값을 갖는다. (3) 비선형 스트레인 척도는 작은 크기의 변형량에서는 직선적으로 증가하다가 점차적으로 그 증가율이 감소하여 최대치에 도달한 후 그 이상의 변형량 영역에서는 변형량이 증가함에 따라 점차 감소하는 거동을 나타낸다. 이러한 거동은 스트레인 증가에 따라 진폭이 점차로 감소하는 감쇠진동함수의 형태를 갖는 이론적 예측과는 상당한 차이를 나타낸다. (4) 대변형하에서 비선형 스트레인 척도의 기울기 (고분자 용액의 비선형성의 정도)는 Cox-Merz 법칙의 적용성에 영향을 미치며, 이 값이 감소할수록 Cox-Merz 법칙은 더욱 잘 성립한다.

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유한요소법을 이용한 구동상태에 따른 타이어의 특성 분석 (Analysis of Tire Characteristics according to Driving Conditions using Finite Element Method)

  • 전도형;최주형;조진래;김기운
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.539-544
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    • 2004
  • This paper discusses the measurement of tire driving performance for 2 types of tire model. Tire is almost composed of rubber, and this is related with the bearing capacity of tire due to the external force. In this study, an explicit time integration method has been used to simulate steady state rolling along a straight path and over a cleat. And analysis for tire dynamic response rolling over a cleat is importnat to study automobile NVH properties. Besides, the evaluation of contact shear force is perfomed for steady state rolling and braking state. The results show that there are noticeable differences between 205/60R15 and 225/60R15 tire model.

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