• Title/Summary/Keyword: Viscous solution

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Finite element formulations for free field one-dimensional shear wave propagation

  • Sun-Hoon Kim;Kwang-Jin Kim
    • Earthquakes and Structures
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    • v.26 no.2
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    • pp.163-174
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    • 2024
  • Dynamic equilibrium equations for finite element analysis were derived for the free field one-dimensional shear wave propagation through the horizontally layered soil deposits with the elastic half-space. We expressed Rayleigh's viscous damping consisting of mass and stiffness proportional terms. We considered two cases where damping matrices are defined in the total and relative displacement fields. Two forms of equilibrium equations are presented; one in terms of total motions and the other in terms of relative motions. To evaluate the performance of new equilibrium equations, we conducted two sets of site response analyses and directly compared them with the exact closed-form frequency domain solution. Results show that the base shear force as earthquake load represents the simpler form of equilibrium equation to be used for the finite element method. Conventional finite element procedure using base acceleration as earthquake load predicts exact solution reasonably well even in soil deposits with unrealistically high damping.

A Comparative Study on Physical Properties and Gel formation abilities of Hot- water Extractable Material, Water-Soluble Alginate and Alkali-soluble Alginate Extracted from Laminaria japonica in East Sea, Korea (한국산 다시마로부터 추출된 열수추출물, 수용성알긴산 및 알칼리가용성 알긴산의 물리적 성상과 겔 형성능)

  • CHO Soon-Yeong;KANG Hyun-Joo;JOO Dong-Sik;LEE Jung-Suck;KIM Sang Moo
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.32 no.6
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    • pp.774-778
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    • 1999
  • Tee yields, physical properties and gel formation abilities or hot-water extractable material (HWEM) and water-soluble alginate (WSA) extracted from Laminaria japonica were estimated and compared with those of the alginate (ASA) extracted with alkali solution in the routine procedure. The contents of HWEM, WSA and ASA in Laminaria japonica were 8.3, 2.5 and $19.1\%$, respectively. The HWEM and WSA had no gel formation ability, whereas the ASA had a good gol formation ability. The HWEM and WSA were almost not viscous even in $1.5\%$ of the sample solution, whereas the ASA was very highly viscous in above $0.5\%$ of sample solution. The melting points of $1\%$ solution of HWEM, WSA and ASA sample were 31, 24 and $14^{\circ}C$, respectively. The solubility at melting point of each samples varied from 2.3 to 2.6 g/100 g water, and a few differences were observed.

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Implementation and Verification of Linear Cohesive Viscoelastic Contact Model for Discrete Element Method (선형 부착성 점탄성 접촉모형의 DEM 적용 및 해석적 방법을 이용한 검증)

  • Yun, Tae Young;Yoo, Pyeong Jun
    • International Journal of Highway Engineering
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    • v.17 no.4
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    • pp.25-31
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    • 2015
  • PURPOSES: Implementation and verification of the simple linear cohesive viscoelastic contact model that can be used to simulate dynamic behavior of sticky aggregates. METHODS: The differential equations were derived and the initial conditions were determined to simulate a free falling ball with a sticky surface from a ground. To describe this behavior, a combination of linear contact model and a cohesive contact model was used. The general solution for the differential equation was used to verify the implemented linear cohesive viscoelastic API model in the DEM. Sensitivity analysis was also performed using the derived analytical solutions for several combinations of damping coefficients and cohesive coefficients. RESULTS : The numerical solution obtained using the DEM showed good agreement with the analytical solution for two extreme conditions. It was observed that the linear cohesive model can be successfully implemented with a linear spring in the DEM API for dynamic analysis of the aggregates. CONCLUSIONS: It can be concluded that the derived closed form solutions are applicable for the analysis of the rebounding behavior of sticky particles, and for verification of the implemented API model in the DEM. The assumption of underdamped condition for the viscous behavior of the particles seems to be reasonable. Several factors have to be additionally identified in order to develop an enhanced contact model for an asphalt mixture.

Analysis of Fully Developed Multilayer Flow in Microchannel with a Rectangular Cross Section (직사각형 단면을 갖는 미세채널에서 완전 발달된 다층유동에 관한 해석)

  • Kim, Jung-Kyung;Jung, Chan-Il;Jang, Jun-Keun;Yoo, Jung-Yul
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.5
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    • pp.644-654
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    • 2003
  • An analytical solution for a vertically stratified viscous flow in a microchannel with a rectangular cross-section is constructed, assuming fully developed laminar flow where the interfaces between the fluid layers are flat. Although the solution is for n-layer flow, restricted results to symmetrical three-layer flow are presented to investigate the effects of the viscosity and thickness ratios of the fluid layers and the aspect ratio of the microchannel on the flow field. Relations between the flow rate and thickness ratios of the fluid layers with varying viscosity distributions are found, considering the cross -sectional velocity profiles which vary noticeably with the three parameters and differ significantly from the velocity profiles of the flow between infinite parallel plates. Interfacial instability induced by the viscosity stratification in the microchannel is discussed referring to previous studies on the instability analysis for plane multilayer flow. Exact solution derived in the present study can be used for examining a diffusion process and three -dimensional stability analysis. More works are needed to formulate the equations including the effects of interfacial' tension between immiscible liquids and surface wettability which are important in microscale transport phenomena.

Examination of Spread-Recoil Behavior of a Shear-thinning Liquid Drop on a Dry Wall (전단희석 액적의 건조 벽면 충돌 후 전개-수축 거동의 관찰)

  • An, Sang-Mo;Lee, Sang-Yong
    • Journal of ILASS-Korea
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    • v.14 no.3
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    • pp.131-138
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    • 2009
  • In the present study, spread-recoil behavior of a drop of shear-thinning liquid (xanthan solution) on a dry wall (polished stainless-steel plate) was examined and compared with that of Newtonian liquid (glycerin solution). Nine different kinds of xanthan and glycerin solutions were tested, including three pairs of xanthan and glycerin solutions, each having the same viscosity in low shear rate region ($10^{-2}-10^0\;l/s$). The drop behavior was visualized and recorded using a CCD camera. The maximum diameter and the spreading velocity of the xanthan drops turned out to be significantly larger and the time to reach their final shape was much shorter compared to the cases with the glycerin solutions, due to the smaller viscous dissipation resulted from lower viscosity in the higher shear rate region (>$10^0\;l/s$). As a result, the maximum diameters were measured to be larger than the predicted values based on the model proposed for Newtonian liquids, and the deviation was more pronounced with the solution with the larger viscosity variation. Consequently, viscosity variation with the shear rate was found to be a dominant factor governing the spread-recoil behavior of shear-thinning drops.

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Optical Properties of Spherical YAG:Ce3+ Phosphor Powders Synthesized by Atmospheric Plasma Spraying Method Appling PVA Solution Route and Domestic Aluminium Oxide Seed (PVA 용액법과 국산 산화알루미늄을 적용하여 대기 플라즈마 용사법으로 합성된 구형의 YAG:Ce3+ 형광체의 발광특성)

  • Yong-Hyeon Kim;Sang-Jin Lee
    • Journal of Powder Materials
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    • v.30 no.5
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    • pp.424-430
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    • 2023
  • YAG phosphor powders were fabricated by the atmospheric plasma spraying method with the spray-dried spherical YAG precursor. The YAG precursor slurry for the spray drying process was prepared by the PVA solution chemical processing utilizing a domestic easy-sintered aluminum oxide (Al2O3) powder as a seed. The homogenous and viscous slurry resulted in dense granules, not hollow or porous particles. The synthesized phosphor powders demonstrated a stable YAG phase, and excellent fluorescence properties of approximately 115% compared with commercial YAG:Ce3+ powder. The microstructure of the phosphor powder had a perfect spherical shape and an average particle size of approx imately 30 ㎛. As a result of the PKG test of the YAG phosphor powder, the synthesized phosphor powders exhibited an outstanding luminous intensity, and a peak wavelength was observed at 531 nm.

Comparison of the Gel Formation Ability and Stability of Encapsulated Microbial Inoculant Using Extractable Alginate from Sea Tangle (다시마 추출 Alginate를 이용한 미생물 캡슐화제의 겔 형성능 및 생균력 비교)

  • Choi, So-Young;Yoon, Min-Ho;Whang, Kyung-Sook
    • Applied Biological Chemistry
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    • v.49 no.3
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    • pp.170-174
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    • 2006
  • For the purpose of developing a high quality agricultural microbial inoculant, methods and materials for improving encapsulation were investigated. Preparation of capsule was conducted by improving extrusion system with micro-nozzle and peristaltic pump. The sodium alginate was selected because of its cheapness, stability of cells, and gel formation ability. The yields, physical properties and gel formation abilities of extractable alginate from sea tangle were investigated by hot water extractable and alkali soluble methods. The extraction yields of hot water extractable alginate (HWEA) and alkali soluble alginate (ASA) from sea tangle were 8 and 20%, respectively. The HWEA was almost not viscous even in 1.5% of the sample solution, whereas the ASA was very highly viscous in above 3% sample solution. The gel formation ability of each samples varied from 1.5% to 5% and the ASA showed a good gel formation ability at 3% solution as commercial alginate (CA). The soil microbial inoculant, Bacillus thuringiensis, Bacillus subtilis, Lactobacillus plantarum and Geotrichum candidum encapsulated sodium alginate with starch and zeolite for stabilizer. The survivability of encapsulated soil microbial inoculant using alginate without stabilizer appeared to be 66, 52, 70 and 50%, respectively. Inclusion of starch and zeolite with alginate bead increased viabilities in Bacillus sp. and Geotrichum candidum by 81-83% and 89%, respectively.

Spin-coated ultrathin multilayers and their micropatterning using microfluidic channels

  • Hongseok Jang;Kim, Sangcheol;Jinhan Cho;Kookheon Char
    • Korea-Australia Rheology Journal
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    • v.15 no.1
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    • pp.1-7
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    • 2003
  • A new method is introduced to build up organic/organic multilayer films composed of cationic poly(allylamine hydrochloride) (PAH) and negatively charged poly (sodium 4-styrenesulfonate) (PSS) using the spinning process. The adsorption process is governed by both the viscous force induced by fast solvent elimination and the electrostatic interaction between oppositely charged species. On the other hand, the centrifugal and air shear forces applied by the spinning process significantly enhances desorption of weakly bound polyelectrolyte chains and also induce the planarization of the adsorbed polyelectrolyte layer. The film thickness per bilayer adsorbed by the conventional dipping process and the spinning process was found to be about 4 ${\AA}$ and 24 ${\AA}$, respectively. The surface of the multilayer films prepared with the spinning process is quite homogeneous and smooth. Also, a new approach to create multilayer ultrathin films with well-defined micropatterns in a short process time is Introduced. To achieve such micropatterns with high line resolution in organic multilayer films, microfluidic channels were combined with the convective self-assembly process employing both hydrogen bonding and electrostatic intermolecular interactions. The channels were initially filled with polymer solution by capillary pressure and the residual solution was then removed by the .spinning process.

Vortex behavior in the inertial flow of viscoelastic fluids past a confined cylinder

  • Kim, Ju Min;Kim, Chongyoup;Chung, Changkwon;Ahn, Kyung Hyun;Lee, Seung Jong
    • Korea-Australia Rheology Journal
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    • v.16 no.3
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    • pp.117-128
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    • 2004
  • The effect of molecular parameters on the steady vortex behaviors in the inertial viscoelastic flow past a cylinder has been investigated. FENE-CR model was considered as a constitutive equation. A recently developed iterative solution method (Kim et al., (in press)) was found to be successfully applicable to the computation of inertial viscoelastic flows. The high-resolution computations were carried out to understand the detailed flow behaviors based on the efficient iterative solution method armed with ILU(0) type pre-conditioner and BiCGSTAB method. The discrete elastic viscous split stress-G/streamline upwind Petrov Galerkin (DEVSS-G/SUPG) formulation was adopted as a stabilization method. The vortex size decreased as elasticity increases. However, the vortex enhancement was also observed in the case of large extensibility, which means that the vortex behavior is strongly dependent upon the material parameters. The longitudinal gradient of normal stress was found to retard the formation of vortex, whereas the extensional viscosity played a role in the vortex enhancement. The present results are expected to be helpful for understanding the inertial vortex dynamics of viscoelastic fluids in the flow past a confined cylinder.

A Vorticity-Based Method for Incompressible Viscous Flow Analysis (와도를 기저로 한 비압축성 점성유동해석 방법)

  • Suh J. C.
    • Journal of computational fluids engineering
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    • v.3 no.1
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    • pp.11-21
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    • 1998
  • A vorticity-based method for the numerical solution of the two-dimensional incompressible Navier-Stokes equations is presented. The governing equations for vorticity, velocity and pressure variables are expressed in an integro-differential form. The global coupling between the vorticity and the pressure boundary conditions is fully considered in an iterative procedure when numerical schemes are employed. The finite volume method of the second order TVD scheme is implemented to integrate the vorticity transport equation with the dynamic vorticity boundary condition. The velocity field is obtained by using the Biot-Savart integral. The Green's scalar identity is used to solve the total pressure in an integral approach similar to the surface panel methods which have been well established for potential flow analysis. The present formulation is validated by comparison with data from the literature for the two-dimensional cavity flow driven by shear in a square cavity. We take two types of the cavity now: (ⅰ) driven by non-uniform shear on top lid and body forces for which the exact solution exists, and (ⅱ) driven only by uniform shear (of the classical type).

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