• Title/Summary/Keyword: Viscosity equation

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Developing of low Reynolds number k-.epsilon. model with improved .epsilon. equation (소산율 방정식의 개선을 통한 저레이놀즈수 k-.epsilon. 모형의 개발)

  • Song, K.;Yoo, G.J.;Cho, K.R.
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.22 no.5
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    • pp.685-697
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    • 1998
  • Series of recent k-.epsilon. model modification have been carried out with the aid of DNS data to include the effect of near wall. Though these methods opened new way of turbulence modelings, newly developed turbulence models of its kind had yet shortcomings in prediction for the turbulent flows with various Reynolds numbers and various geometric conditions. As a remedy for these shortcomings, a new k-.epsilon. model proposed here by improving the dissipation rate equation and the damping function for eddy viscosity model. The new dissipation rate equation was modeled based on the energy spectrum and magnitude analysis. The damping function for eddy viscosity was also formulated on the ground of distribution of dissipation rate length scales near a wall and the DNS data. The new k-.epsilon. model was applied to the fully developed turbulent flows in a channel and a pipe with a wide range of Reynolds numbers. Prediction results showed that the present model represents properly the turbulence properties in all turbulent regions over a wide range of Reynolds numbers.

Empirical Equations for Thermodynamic Physical Properties of Freon-23 and HFC-227ea (Freon-23과 HFC-227ea의 열역학적 물성에 관한 실험식)

  • 김재덕;이윤우;송명석;노경호
    • Fire Science and Engineering
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    • v.16 no.3
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    • pp.16-25
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    • 2002
  • For Freon-23, a conventional extinguished agent regulated by Montreal Protocol and HFC-227ea, its alternative, the empirical equations were correlated in terms of saturated pressure, density, viscosity, enthalpy and surface tension. They were obtained by regression analysis from the experimental data in the literature. The empirical equations of saturated pressure were expressed as the second and third order function of temperature. The empirical equation of density was expressed as compressibility factor and saturated pressure by a function of temperature. The empirical equation of viscosity was formulated as a power function. Heat capacities as well as enthalpies were well fitted by empirical form of the second-order temperature. Finally, surface tension simply has linear function form in terms of temperature.

Effect of Aminosiloxane Modifier on Chemorheological Properties of Ortho-cresol Novolac Epoxy (Ortho-cresol Novolac형 에폭시의 화학레올로지 특성에 미치는 아민 개질제의 영향)

  • 김윤진;안병길;김우년;서광석;김환건;윤초규
    • Polymer(Korea)
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    • v.26 no.1
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    • pp.88-97
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    • 2002
  • The effect of aminosiloxane modifier on the chemorheological properties of ortho-cresol novolac epoxy/phenol novelac/triphnylphosphine resin system was investigated aat different isothermal curing temperatures. By adding the aminosiloxane to the resin system, not only conversion rate and conversion were increased but also glass transition temperature was promoted. Critical conversion and gelation time obtained at the crossover point between storage and loss moduli were reduced and thus the viscosity was increased by the aminosiloxane. $C_1$ and $C_2$ in the WLF equation calculated from the glass transition temperature as a function of conversion and measured viscosity were found to vary with the curing temperature. By applying the change of glass transition temperature with conversion, $C_1$ and $C_2$ to WLF equation, it was possible to predict accurately the viscosity change with isothermal curing reaction.

Analysis of a Bydrodynamic Bearing of a BDD Spindle Motor Due to Elevated Temperature (온도변화에 의한 HDD 유체 동압 베어링의 특성 해석)

  • Kim Kwan Soo;Kim Hak Woon;Lee Haeng Soo;Kim Chul Soon;Jang Gun Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.5 s.236
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    • pp.762-769
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    • 2005
  • This paper presents a method to investigate the characteristics of a hydrodynamic bearing of a HDD spindle motor due to elevated temperature considering the variation of the clearance as well as the lubricant viscosity. Iterative finite element analysis of the heat conduction and the thermal deformation is performed to determine the viscosity and clearance of a hydrodynamic bearing due to elevated temperature until the temperature of the bearing area converges. Proposed method is verified by comparing the calculated temperature with the measured one in elevated surrounding temperature as well as in room temperature. This research shows that elevated temperature changes the clearance as well as the lubricant viscosity of the hydrodynamic bearing of a HDD spindle motor. Once the viscosity and the clearance of a hydrodynamic bearing of a HDD spindle motor are determined, finite element analysis of the Reynolds equation is performed to investigate the static and dynamic characteristics of a hydrodynamic bearing of a HDB spindle motor due to elevated temperature. It also shows that the variation of clearance due to elevated temperature is another important design consideration to affect the static and dynamic characteristics of a hydrodynamic bearing of a HDD spindle motor

Evaluation of Parameters in Hydrodynamic Model (동수역학모형의 매개변수 산정)

  • Yun, Tae-Hun;Lee, Jong-Uk;Jagal, Sun-Dong
    • Journal of Korea Water Resources Association
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    • v.33 no.1
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    • pp.39-50
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    • 2000
  • Generally speaking, a hydrodynamic model needs a friction coefficient (Manning coefficient or Chezy coefficient) and eddy viscosity. For numerical solution the coefficients are usually determined by recursive calculations. The eddy viscosity in numerical model plays physical diffusion in flow and also acts as numerical viscosity. Hence its value has influence on the stability of numerical solution and for these reasons a consistent evaluation procedure is needed. By using records of stage and discharge in the downstream reach of the Han river, I-D models (HEC-2 and NETWORK) and 2-D model (SMS), estimated values of Manning coefficient and an empirical equation for eddy viscosity are presented. The computed results are verified through the recorded flow elevation data.n data.

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Analysis of a Hydrodynamic Bearing of a HDD Spindle Motor Due to Elevated Temperature (온도변화에 의한 HDD 유체 동압 베어링의 특성 해석)

  • 김학운;김관수;장건희;이행수;김철순
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.556-563
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    • 2003
  • This paper presents a method to investigate the characteristics of a hydrodynamic bearing of a HDD spindle motor due to elevated temperature considering the variation of the clearance as well as the lubricant viscosity. Iterative finite element analysis of the heat conduction and the thermal deformation is performed to determine the viscosity and clearance of a hydrodynamic bearing due to elevated temperature until the temperature of the bearing area converges. Proposed method is verified by comparing the calculated temperature with the measured one in elevated surrounding temperature as well as in room temperature. This research shows that elevated temperature changes the clearance as well as the lubricant viscosity of the hydrodynamic bearing of a HDD spindle motor. Once the viscosity and clearance of a hydrodynamic bearing of a HDD spindle motor are determined, finite element analysis of the Reynolds equation is performed to investigate the static and dynamic characteristics of a hydrodynamic bearing of a HDD spindle motor due to elevated temperature. It also shows that the variation of clearance due to elevated temperature is another important design consideration to affect the static and dynamic characteristics of a hydrodynamic bearing of a HDD spindle motor.

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Rheological Characterization of Dextran Solution (DEXTRAN 용액의 유동학적 특성)

  • Kim, Nam-Hie;Lee, Hyang-Aee
    • YAKHAK HOEJI
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    • v.32 no.1
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    • pp.86-94
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    • 1988
  • Some rheological properties of subfractions for dextran in the molecular weights range from $3{\times}10^4$ to $2{\times}10^6$ was investigated at room temperature. The dependence of the viscosity on concentration, shear rate, pH & ionic strength, temperature and solvent effect was observed. From the experimental data the Mark-Houwink viscosity equation in water at $25^{\circ}C$ was determined for samples having the molecular weight ranging from $3{\times}10^4$ to $2{\times}10^6$ as$[{\eta}]=3.1{\times}10^{-3}\;Mw^{0.39}(in\;dl/g)$. The intrinsic stiffness of the dextran backbone was estimated by evaluating the 'characteristic ratio' $C_{\infty}$, which is below the 0.082. In the concentrated region, the viscosity was decreased with increasing shear rate and was exponentially decreased with raising temperature, the viscosity showed the maximum value at neutral condition. From the experimental data, it was concluded that dextran chain, linked by the ${\alpha}-1$, 6-glucosidic linkage, behaves like a flexible random coil chain in aqueous solution, dextran solutions were pseudoplastic power law fluids among the empirical models of non-Newtonian behavior. Urea was an active reagent which increases the viscosity and swells dextran while pyrididine and glycerol were inactive reagents. Also, it could be estimated that the formation of gel structure is promote to the neutral state, the molecular weight larger than $2{\times}10^5$, when electrolytic concentration is IN and Ureas is use to solvent.

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Partial Molal Volume and Viscosity of Tetraethylammonium Chloride in Dimethyl Sulfoxide-Water Mixtures (Dimethyl Sulfoxide-물 混合溶媒中에서 Tetraethylammonium Chloride의 分몰容積 및 粘度에 관한 硏究)

  • Cho Byung Rin;Lee Yong Ja;Lee Ikchoon
    • Journal of the Korean Chemical Society
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    • v.19 no.1
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    • pp.3-10
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    • 1975
  • The partial molal volumes and relative viscosities of tetraethylammonium chloride in a series of dimethyl sulfoxide (DMSO)-water mixtures were measured at $30^{\circ}C$. A maximum structuredness of solvent, that leads to a minimum viscosity A-coefficient and a maximum viscosity B-coefficient of the Jones-Dole equation(${\eta}_r=1+AC^{1/2}$ + BC), was found at 0.2${\sim}$0.3 mole fraction of DMSO. The solvent structure, that leads to a minimum partial molal volume due to the maximum electrostrictive effect of chloride ion and to a minimum viscosity B-coefficient, was found at 0.4${\sim}$0.5 mole fraction of DMSO. An approximate relationship between the limiting effective flowing volume, $V_e^{\circ}$, and the B-coefficient was found to be B = 2.5 $V_e^{\circ}$ in the Einstein equation.

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Studies on Physicochemical Properties of Erythritol, Substitude Sugar (대체감미료 에리스리톨의 이화학적인 성질에 관한 연구)

  • Byun, Sang-Hee;Lee, Cherl-Ho
    • Korean Journal of Food Science and Technology
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    • v.29 no.6
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    • pp.1089-1093
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    • 1997
  • The physicochemical properties of erythritol were examined by measuring water absorption, solubility, water activity, heat stability, and viscosity compared to those of sucrose, xylitol, sorbitol and fructo-oligosaccharide. Erythritol showed the lowest water absorption and the highest water activity reducing capacity. In the solubility test of sweeteners, the saturation concentration of erythritol at $20^{\circ}C$ was 35.8%, which was the lowest solubility. Caramelization test and Maillard reaction test showed that erythritol was stabler than sucrose in heat treatment, while fructo-oligosaccharide showed the strongest reaction. The viscosity of erythritol was similar to that of other sweeteners at the same concentration (10%, 30% w/w). The viscosity of sweeteners increased exponentially with increasing concentration but decreased with increasing temperature following Arrhenius equation. The activation energy for flow of 30% erythritol solution was estimated to be 10.8 kcal/g mol.

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Viscometric Studies of Molecular Interactions in Binary Mixtures of Formamide with Alkanol at 298.15 and 308.15 K

  • Gahlyan, Suman;Verma, Sweety;Rani, Manju;Maken, Sanjeev
    • Korean Chemical Engineering Research
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    • v.55 no.4
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    • pp.520-529
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    • 2017
  • Viscosity data were measured at 298.15 K and 308.15 K for formamide + 1-propanol, 2-propanol, 1-butanol, 2-methyl-1-propanol or 2-methyl-2-propanol mixtures. For an equimolar mixture, deviation in viscosity follows the sequence: 2-methyl-2-propanol >2-methyl-1-propanol>1-butanol>2-propanol>1-propanol. The viscosity data were further analyzed in terms of graph theory. Free energy of activation was also calculated from experimental viscosity data along with previously reported excess volume data. The deviation in viscosity and free energy of activation were fitted to Redlich-Kister polynomial equation. The viscosity data were also correlated by correlations like Grunberg-Nissan, Tamura-Kurata, HindMcLaughlin-Ubbelohde, and Katti-Chaudhari relation. Various adjustable parameters, $G_{12}$, $T_{12}$, $H_{12}$, and $W_{vis}/RT$, of various correlations were used to predict viscosity deviation of binary mixtures. Positive value of $G_{12}$ indicates strong interaction in the studied systems. Grunberg-Nissan relation has lowest deviation among the four correlations for formamide + 1-propanol or 2-propanol mixtures; and for mixtures of formamide with 1-butanol or 2-methyl-1-propanol, TamuraKurata has lowest deviation. Grunberg-Nissan gives lowest deviation for formamide + 2-methyl-2-propanol mixtures.