• Title/Summary/Keyword: Theory of viscosity

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EVELOPMENT OF AXISYMMETRIC MULTI-SPECIES GH EQUATION FOR HYPERSONIC RAREFIED FLOW ANALYSES (극초음속 희박유동 해석을 위한 축대칭 다화학종 GH 방정식의 개발)

  • Ahn, J.W.;Kim, C.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.84-91
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    • 2008
  • Generalized hydrodynamic (GH) theory for multi-species gas and the computational models are developed for the numerical simulation of hypersonic rarefied gas flow on the basis of Eu's GH theory. The rotational non-equilibrium effect of diatomic molecules is taken into account by introducing excess normal stress associated with the bulk viscosity. The numerical model for the diatomic GH theory is developed and tested. Moreover, with the experience of developing the dia-tomic GH computational model, the GH theory is extended to a multi-species gas including 5 species; O$_2$, N$_2$, NO, O, N. The multi-species GH model includes diffusion relation due to the molecular collision and thermal phenomena. Two kinds of GH models are developed for an axisymmetric flow solver. By compar-ing the computed results of diatomic and multi-species GH theories with those of the Navier-Stokes equations and the DSMC results, the accuracy and physical consistency of the GH computational models are examined.

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EVELOPMENT OF AXISYMMETRIC MULTI-SPECIES GH EQUATION FOR HYPERSONIC RAREFIED FLOW ANALYSES (극초음속 희박유동 해석을 위한 축대칭 다화학종 GH 방정식의 개발)

  • Ahn, J.W.;Kim, C.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.84-91
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    • 2008
  • Generalized hydrodynamic (GH) theory for multi-species gas and the computational models are developed for the numerical simulation of hypersonic rarefied gas flow on the basis of Eu's GH theory. The rotational non-equilibrium effect of diatomic molecules is taken into account by introducing excess normal stress associated with the bulk viscosity. The numerical model for the diatomic GH theory is developed and tested. Moreover, with the experience of developing the dia-tomic GH computational model, the GH theory is extended to a multi-species gas including 5 species; $O_2,\;N_2$, NO, O, N. The multi-species GH model includes diffusion relation due to the molecular collision and thermal phenomena. Two kinds of GH models are developed for an axisymmetric flow solver. By compar-ing the computed results of diatomic and multi-species GH theories with those of the Navier-Stokes equations and the DSMC results, the accuracy and physical consistency of the GH computational models are examined.

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A magneto-thermo-viscoelastic problem with fractional order strain under GN-II model

  • Deswal, Sunita;Kalkal, Kapil Kumar;Sheoran, Sandeep Singh
    • Structural Engineering and Mechanics
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    • v.63 no.1
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    • pp.89-102
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    • 2017
  • In this work, we present a theoretical framework to study the thermovisco-elastic responses of homogeneous, isotropic and perfectly conducting medium subjected to inclined load. Based on recently developed generalized thermoelasticity theory with fractional order strain, the two-dimensional governing equations are obtained in the context of generalized magnetothermo-viscoelasticity theory without energy dissipation. The Kelvin-Voigt model of linear viscoelasticity is employed to describe the viscoelastic nature of the material. The resulting formulation of the field equations is solved analytically in the Laplace and Fourier transform domain. On the application of inclined load at the surface of half-space, the analytical expressions for the normal displacement, strain, temperature, normal stress and tangential stress are derived in the joint-transformed domain. To restore the fields in physical domain, an appropriate numerical algorithm is used for the inversion of the Laplace and Fourier transforms. Finally, we have demonstrated the effect of magnetic field, viscosity, mechanical relaxation time, fractional order parameter and time on the physical fields in graphical form for copper material. Some special cases have also been deduced from the present investigation.

Numerical simulation of electrokinetic dissipation caused by elastic waves in reservoir rocks

  • Zhang, Xiaoqian;Wang, Qifei;Li, Chengwu;Sun, Xiaoqi;Yan, Zheng;Nie, Yao
    • Geomechanics and Engineering
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    • v.19 no.1
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    • pp.11-20
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    • 2019
  • The use of electrokinetic dissipation method to study the fluid flow law in micro-pores is of great significance to reservoir rock microfluidics. In this paper, the micro-capillary theory was combined with the coupling model of the seepage field and the current field under the excitation of the harmonic signal, and the coupling theory of the electrokinetic effect under the first-order approximation condition was derived. The dissipation equation of electrokinetic dissipation and viscous resistance dissipation and its solution were established by using Green's function method. The physical and mathematical models for the electrokinetic dissipation of reservoir rocks were constructed. The microscopic mechanism of the electrokinetic dissipation of reservoir rock were theoretically clarified. The influencing factors of the electrokinetic dissipation frequency of the reservoir rock were analyzed quantitatively. The results show that the electrokinetic effect transforms the fluid flow profile in the pores of the reservoir from parabolic to wavy; under low-frequency conditions, the apparent viscosity coefficient is greater that one and is basically unchanged. The apparent viscosity coefficient gradually approaches 1 as the frequency increases further. The viscous resistance dissipation is two orders of magnitude higher than the electrokinetic effect dissipation. When the concentration of the electrolyte exceeds 0.1mol/L, the electrokinetic dissipation can be neglected, while for the electrolyte solution (<$10^{-2}M$) in low concentration, the electrokinetic dissipation is very significant and cannot be ignored.

Development of Depth-averaged Mixing Length Turbulence Model and Assessment of Eddy Viscosity (수심평균 혼합거리 난류 모형의 개발 및 와점성계수의 평가)

  • Choi, Seung-Yong;Han, Kun-Yeun;Hwang, Jae-Hong
    • Journal of Wetlands Research
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    • v.13 no.3
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    • pp.395-409
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    • 2011
  • The objective of this study is to develop an accurate and robust two-dimensional finite element method for turbulence simulation in open channels. The model is based on Streamline Upwind/Petrov-Galerkin finite element method and Boussinesq's eddy viscosity theory. The method developed in the study is depth-averaged mixing length model which assumes anisotropic and local equilibrium state of turbulence. The model calibration and validation were performed by comparing with analytical solutions and observed data. Several numerical simulations were carried out, which examined the performance of the turbulence model for the purpose of sensitivity analysis. The uniform channels that appear horizontal flow and vertical flow were carried out. The model was also applied to the Han river was in for the applicability test. The results were compared with the observed data. The suggested model displayed reasonable flow distribution compare to the observed data in natural river flow. As a result of this study, the two-dimensional finite element model provides a reliable results for flow distribution based on the turbulence simulation in open channels.

Studies on the Effects of Danggieum and Ijintang on Thrombosis and Elevated Blood Viscosity (혈전증(血栓症) 및 고점도혈증(高粘度血症)에 대(對)한 당귀음(當歸飮)과 이진탕(二陳湯)의 실험적(實驗的) 연구(硏究))

  • Kim, Young-Suk
    • The Journal of Korean Medicine
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    • v.15 no.2 s.28
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    • pp.212-232
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    • 1994
  • I selected the theory of blood stasis and wetness-phlegm among the major 4 causes of Joong Poong(C.V.A.)(wind. fire. deficiency of vital energy and wetness-phlegm) and recent etiology of blood stasis. An experimental studies were done to investigate the effects of Danggieum (removing blood stasis and promoting blood circulation) and Ijintang(dissipating wetness-phlegm) on thrombosis and elevated blood viscosity. The results were as follows; 1. The number of platelets were significantly increased in only Danggieum group. 2. Related to the amount of fibrinogen. only Danggieum group revealed some increase. but both groups revealed no significance. 3. Related to the prothrombin time. Danggieum and Ijintang groups had significant decrease. but Danggieum group revealed more significance. 4. Related to the degree of concentration of FDP, only Danggieum group had significant decrease. 5. Whole blood viscosity and plasma viscosity in lower shear rates. both groups of Danggieum and Ijintang had significant decrease. 6. Related to the amount of RBC. both groups of Danggieum and Ijintang had significant decrease. 7. Related to the change of hematocrit. only Danggieum group, and the change of hemoglobin. only Ijintang group had significant decrease. 8. Related to the change of body temperature. only Ijintang group had significant raise. 9. Related to the changes of WBC. glucose, albumin, total protein and body weight. Danggieum and Ijintang groups had each increase or decrease. but no significance. According to the above results, Danggieum had more significant effect than Ijintang on the thrombosis. and Ijintang had more significant effect than Danggieum on the elevated blood viscosity. And it is considered that it might be more effective in treating Joong-Poong(C.V.A) to take medicines regarding patient's constitution and symptoms as well as the causes of Joong-Poong(C.V.A)

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A Finite Element Galerkin High Order Filter for the Spherical Limited Area Model

  • Lee, Chung-Hui;Cheong, Hyeong-Bin;Kang, Hyun-Gyu
    • Journal of the Korean earth science society
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    • v.38 no.2
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    • pp.105-114
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    • 2017
  • Two dimensional finite element method with quadrilateral basis functions was applied to the spherical high order filter on the spherical surface limited area domain. The basis function consists of four shape functions which are defined on separate four grid boxes sharing the same gridpoint. With the basis functions, the first order derivative was expressed as an algebraic equation associated with nine point stencil. As the theory depicts, the convergence rate of the error for the spherical Laplacian operator was found to be fourth order, while it was the second order for the spherical Laplacian operator. The accuracy of the new high order filter was shown to be almost the same as those of Fourier finite element high order filter. The two-dimension finite element high order filter was incorporated in the weather research and forecasting (WRF) model as a hyper viscosity. The effect of the high order filter was compared with the built-in viscosity scheme of the WRF model. It was revealed that the high order filter performed better than the built in viscosity scheme did in providing a sharper cutoff of small scale disturbances without affecting the large scale field. Simulation of the tropical cyclone track and intensity with the high order filter showed a forecast performance comparable to the built in viscosity scheme. However, the predicted amount and spatial distribution of the rainfall for the simulation with the high order filter was closer to the observed values than the case of built in viscosity scheme.

Strain-Hardening Cementitious Composites with Low Viscosity Suitable for Grouting Application (그라우팅에 적합한 점성을 갖는 변형률 경화 시멘트 복합재료)

  • Lee, Bang Yeon
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.16 no.1
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    • pp.55-63
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    • 2012
  • This paper presents materials and processing technique to manufacture low viscous strain-hardening cementitious composite which is suitable for structures requiring low viscosity of materials. The micromechanics and fracture mechanics tools coupled with processing techniques were adopted to achieve low viscosity of composites as well as high tensile strain capacity. Optimal volume and length of fibers and interfacial properties between fibers and matrix for composites with tensile strength of 2~3MPa were determined on the basis of the micromechanical analysis and the steady-state cracking theory. Then six mixtures were determined and the experiment was carried out to evaluate the viscosity and uniaxial tensile performance of those. From the test results, it is verified that the strain-hardening cementitious composite with low viscosity suitable for grouting applications in fresh state as well as high ductility over 1.5% in hardened state can be feasible.

Application of Liquid Theory to Sodium-Ammonia Solution

  • Lee, Jong-Myung;Jhon, Mu-Shik
    • Bulletin of the Korean Chemical Society
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    • v.2 no.3
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    • pp.90-96
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    • 1981
  • The significant structure theory of liquids has been successfully applied to the sodium ammonia solution. In applying the theory to sodium ammonia solution, we assumed there were four species in solution, i.e., sodium cation, solvated electron, triple ion, and free electron and equilibria existed between them. Based on these assumptions, we set up the model explaining the anomalous properties of sodium ammonia solution. The partition function for sodium ammonia solution is composed of the partition functions for the above four species and also for the Debye-Huckel excess free energy term. Agreements between calculated and experimental values of the thermodynamic quantities, such as molar volume, vapor pressure, partial molar enthalpy and entropy, and chemical potential as well as viscosity are quite satisfactory.

A Study on the Non-linear Forced Torsional Vibration for Propulsion Shaftings with Multi-Degree-of-Freedom System (기관축계의 비선형 다자유도 강제 비틀림진동에 관한 연구)

  • 김수철;이문식;장민오;김의간
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.6
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    • pp.7-14
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    • 2000
  • Nowadays, the viscous damper using high viscosity oil was much to be used for engine shafting system to reduce the excessive additional stress by torsional vibration. In general, it was assumed that the viscous damper could be modelled having only damping coefficient, that is to say, whose stiffness be ignored. But it is found that there exists a jump phenomenon, as a kind of non-linear vibration, in the actual engine shafting system with a damper of high viscosity. Therefore the damper ring and the casing are modelled as two mass elastic system with a complex viscosity. Also, to analyze a non-linear phenomenon, it is assumed that the viscous damper has a linear stiffness coefficient in proportion to the angular amplitude and a non-linear stiffness coefficient in proportion to cube of the angular amplitude. For the analysis, Quasi-Newton method with BFGS(Broyden-Fletcher-Goldfarb-Shanno) formula is used. Both calculated and measured values are provided in this paper which confirm the possibility of applying non-linear theory to engine shafting system with viscous damper.

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