• Title/Summary/Keyword: Non-newtonian Flow Equation

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Two-phase Finite Volume Analysis Method of Debris Flows in Regional-scale Areas (2상 유한체적모델 기반의 광역적 토석류 유동해석기법)

  • Jeong, Sangseom;Hong, Moonhyun
    • Journal of the Korean Geotechnical Society
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    • v.38 no.4
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    • pp.5-20
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    • 2022
  • To analyze the flow and density variations in debris flows, a two-phase finite volume model simplified with momentum equations was constructed in this study. The Hershel-Buckley rheology model was employed in this model to account for the internal and basal friction of debris flows and was utilized to analyze complex topography and entrainments of basal soil beds. In order to numerically solve the debris flow analysis model, a finite volume model with the Harten-Lax-van Leer-Contact method was used to solve the conservation equation for the debris flow interface. Case studies of circular dam failure, non-Newtonian fluid dam failure, and multiple debris flows were analyzed using the proposed model to evaluate shock absorption capacity, numerical isotropy, model accuracy, and mass conservation. The numerical stability and correctness of the debris flow analysis of this analysis model were proven by the analysis results. Additionally, the rate of debris flow with various rheological properties was systematically simulated, and the effect of debris flow rheological properties on behavior was analyzed.

Properties of Biopolymer YU-122 from Metarrhizium anisopliae (Metschn.) Sorok (Metarrhizium anisopliae (Metschn.) Sorok이 생산하는 Biopolymer YU-122의 물리, 화학적 특성)

  • Choi, Yong-Suk;Ohk, Seung-Ho;Yu, Ju-Hyun;Bai, Dong-Hoon
    • Korean Journal of Food Science and Technology
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    • v.29 no.1
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    • pp.138-144
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    • 1997
  • A new biopolymer YU-122 from Metarrhizium anisopliae (Metschn.) Sorok consisting of glucose and galactose was tested for its physical properties and flow behavior characteristics. Xanthan gum showed slightly higher viscosity than biopolymer YU-122. Viscosity of biopolymer YU-122 at various pHs and temperatures was also tested. The viscosity of biopolymer YU-122 was very stable up to pH 11 and $60^{\circ}C$, indicating that it has a great possibility for the application such as food additives, emulsifier, and drug release agents. Flow behavior index (n) from Power Law equation is 0.173. Biopolymer YU-122 solution was a pseudoplastic non-Newtonian fluid, which indicated that it had one or more side chains. When biopolymer YU-122 was used as a emulsifier, it stabilized the emulsion up to 120 hours, which was much better than xanthan gum. The biopolymer YU-122 could form an excellent but less clear film compared with xanthan and pullulan.

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Rheological Studies of Greases (潤滑油의 粘性學的 硏究)

  • Shao Mu Ma;Tai Kyu Ree
    • Journal of the Korean Chemical Society
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    • v.20 no.3
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    • pp.173-184
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    • 1976
  • A steel capillary viscometer was built for the study of rheological properties of greases. Bentone greases with thickener concentration of 2.0, 4.0, 6.0, 8.0, and 10.0 weight percent and lime-soap greases with soap concentrations of 2.4, 7.0, 9.3, 12.1 and 15.2 weight percent were studied. Capillaries with various radii R and lengths L were used to study the resident-time effect on the flow properties of lime soap greases. Detailed studies on bentone greases were conducted using a capillary with a fixed size. The results were analyzed by using Ree-Eyring flow equation. The factors appearing in the latter, ($X_1{\beta}_1/{\alpha}_1$ for Newtonian units, $X_2/{\alpha}_2$ and ${\beta}_2$ both for non-Newtonian units), were studied in order to investigate how they change with thickener concentrations and temperatures. Through this analysis, we have found that TEX>${\Delta}H_1^{\neq}$ and ${\Delta}H_2^{\neq}$, the activation enthalpies for flow of type-1 unit and of type-2 unit, respectively, are approximately equal to that of the base oil, the solvent. From this fact, it is concluded that these type units flow into the holes which were produced by the movement of solvent molecules. For bentone greases, the ${\beta}_2$ is about constant independent of concentration at a given temperature as found in the literature. The resident-time effect has not been clearly demonstrated in this research; this is due partly to the nature of the greases used in our research and partly to the small values of L/R of our capillaries, the resident time being proportional to the value L/R.

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Effect of Reaction Time on the Rheological Properties of Dextran Formed Solution Produced by Crude Dextransucrase from Leuconostoc rnesenteroides Sikhae (Leuconostoc mesenteroides Sikhae의 Crude Dextransucrase 반응시간에 따른 Dextran 생성액의 유변성)

  • 박춘상;이철호
    • Microbiology and Biotechnology Letters
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    • v.20 no.3
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    • pp.316-323
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    • 1992
  • Studies on the changes in rheological properties, molecular weight distribution and dextran yield after being reacted in lO%(w/w) sucrose concentration were performed with crude dextransucrase produced from Leuconostoc mesenteroides isolated from Sikhae. The reaction rate of dextran formation was monitored by sugar analysis with HPLC and by the changes in apparent viscosity. According to the periodate oxidation test, the dextran produced in this experiment was estimated to have 89% $\alpha$-(1->6) main linkages and 11% $\alpha$-(1->) side linkages. The rheological properties of the dextran solution formed changed with reaction time, and it was related to the changes in molecular weight distribution of dextran as determined by GPC analysis. As the reaction proceeded, the rheological behavior changed from Newtonian to non-Newtonian, showing Binghampseudoplastic and thixothropic flow behavior. The apparent viscosity of dextran formed solution increased with increasing reaction time, reached a maximum value of 2680 cP ($\gamma$=$33.75s^{-1}$, $25^{\circ}C$) by enzyme reaction for 8 hours, and then decreased. The temperature dependency of dextran formed solutions was well expressed by the Arrhenius equation and the activation energy reached a maximum value of 1.69 kcal/mole by enzyme reaction for 8 hours.

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Rheological Properties of the Solutions of Incompatible Polymer Blends

  • Sohn, Jeong-In;Ree, Taik-Yue
    • Bulletin of the Korean Chemical Society
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    • v.2 no.4
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    • pp.142-147
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    • 1981
  • A blend polymeric system composed of poly(methyl methacrylate) (PMMA or PM) and polystyrene (PS) dissolved in chloroform was rheologically studied. The viscosities ${\eta}_{bl}$ of the blend system with various blending ratios ${\chi}$ changing from zero (pure PS solution) to unity (pure PMMA solution) were measured at $25{\circ}C$ as a function of shear rates ${\dot{s}}$ by using a Couette type viscometer. ${\eta}_{bl}$ at a given ${\dot{s}}$ decreased exponentially with ${\chi}$ reaching asymptotic constant value of ${\eta}_{bl}$ ; ${\eta}_{bl}$ at a given ${\chi}$ is greater at a smaller ${\dot{s}}$. These results are explained by using Ree-Erying's theory of viscosity, ${\eta}_{bl}=(x_1{\beta}_1/{\alpha}_1)_{b}_1+ (x_2{\beta}_2/{\alpha}_2)_{bl}[sinh^{-1}{\beta}_2(bl) {\dot{s}}]/{\beta}_2(bl){\dot{s}}$. The Gibbs activation energy ${\Delta}G_i^\neq$(i = 2 for non-Newtonian units) entering into the intrinsic relaxation time ${\beta}$ is represented by a linear combination ${\Delta}G_i^\neq(bl) ={\chi}{\Delta}G_i^{\neq}_{iPM}+(1-{\chi}){\Delta}G_i^{\neq}_{iPS}$;the intrinsic shear modulus$[[\alpha}_i]^{-1}$ is also represented by $[{\alpha}_i(bl)]^{-1}={\chi}[{\alpha}_{iPM}]^{-1}+(1-{\chi})[{\alpha}_{iPS}]^{-1}$ and the fraction of area on a shear surface occupied by the ith flow units $x_i(bl)$ is similarly represented, i.e., $x_i(bl) = {\chi}x_{iPM}+(1-{\chi})x_{iPS}$. By using these ideas the Ree-Eyring equation was rewritten which explained the experimental results satisfactorily.