• Title/Summary/Keyword: Viscosity Equation

검색결과 392건 처리시간 0.03초

Scaling law in MHD turbulence small-scale dynamo

  • Park, Kiwan;Ryu, Dongsu
    • 천문학회보
    • /
    • 제39권2호
    • /
    • pp.74.2-74.2
    • /
    • 2014
  • Magnetohydrodynamics(MHD) dynamo depends on many factors such as viscosity ${\gamma}$, magnetic diffusivity ${\eta}$, magnetic Reynolds number $Re_M$, external driving source, or magnetic Prandtl number $Pr_M$. $Pr_M$, the ratio of ${\gamma}$ to ${\eta}$ (for example, galaxy ${\sim}10^{14}$), plays an important role in small scale dynamo. With the high PrM, conductivity effect becomes very important in small scale regime between the viscous scale ($k_{\gamma}{\sim}Re^{3/4}k_fk_f$:forcing scale) and resistivity scale ($k_{\eta}{\sim}PrM^{1/2}k_{\gamma}$). Since ${\eta}$ is very small, the balance of local energy transport due to the advection term and nonlocal energy transfer decides the magnetic energy spectra. Beyond the viscous scale, the stretched magnetic field (magnetic tension in Lorentz force) transfers the magnetic energy, which is originally from the kinetic energy, back to the kinetic eddies leading to the extension of the viscous scale. This repeated process eventually decides the energy spectrum of the coupled momentum and magnetic induction equation. However, the evolving profile does not follow Kolmogorov's -3/5 law. The spectra of EV (${\sim}k^{-4}$) and EM (${\sim}k^0$ or $k^{-1}$) in high $Pr_M$ have been reported, but our recent simulation results show a little different scaling law ($E_V{\sim}k^{-3}-k^{-4}$, $EM{\sim}k^{-1/2}-k^{-1}$). We show the results and explain the reason.

  • PDF

잠제 제원 및 평면배치에 따른 쇄파특성 (Wave Breaking Characteristics due to Shape and Plane Arrangement of the Submerged Breakwaters)

  • 이우동;허동수;허정원
    • 한국해양공학회지
    • /
    • 제24권1호
    • /
    • pp.116-122
    • /
    • 2010
  • The aim of this study is to examine the effects of shape and plane arrangement of submerged breakwaters on 3-D wave breaking characteristics over them. First, the numerical model, which is able to consider the flow through a porous medium with inertial, laminar, and turbulent resistance terms, i.e. simulate directly WAve Structure Seabed/Sandy beach interaction, and can determine the eddy viscosity with a LES turbulent model in a 3-Dimensional wave field (LES-WASS-3D), has been validated by a comparison with Goda's equation for breaking wave heights. And then, using the numerical results, the wave breaking points over the crest of submerged breakwaters have been examined in relation to the shape and plane arrangement of submerged breakwaters. Moreover, the wave height distribution and upper flow around submerged breakwaters have been also discussed, as well as the distribution of the wave breaking points over the beach.

Prediction and Measurement of Residual Stresses in Injection Molded Parts

  • Kwon, Young-Il;Kang, Tae-Jin;Chung, Kwansoo;Youn, Jae Ryoun
    • Fibers and Polymers
    • /
    • 제2권4호
    • /
    • pp.203-211
    • /
    • 2001
  • Residual stresses were predicted by a flow analysis in the mold cavity and residual stress distribution in the injection molded product was measured. Flow field was analyzed by the hybrid FEM/FDM method, using the Hele Shaw approximation. The Modified Cross model was used to determine the dependence of the viscosity on the temperature and the shear rate. The specific volume of the polymer melt which varies with the pressure and temperature fields was calculated by the Tait\`s state equation. Flow analysis results such as pressure, temperature, and the location of the liquid-solid interface were used as the input of the stress analysis. In order to calculate more accurate gap-wise temperature field, a coordinate transformation technique was used. The residual stress distribution in the gap-wise temperature field, a coordinate transformation technique was used. The residual stress distribution in the gap-wise direction was predicted in two cases, the free quenching, under the assumption that the shrinkage of the injection molded product occurs within the mold cavity and that the solid polymer is elastic. Effects of the initial flow rate, packing pressure, and mold temperature on the residual stress distribution was discussed. Experimental results were also obtained by the layer removal method for molded polypropylene.

  • PDF

압축성을 고려한 사출성형 충전과정에 관한 연구 (Analysis of Filling in Injection Molding with Compressibility)

  • 한경희;임용택
    • 대한기계학회논문집A
    • /
    • 제21권5호
    • /
    • pp.735-745
    • /
    • 1997
  • In this study, the compressibility of resin was considered in filling analysis to account for the possible packing type flow. A numerical simulation program employing a hybrid finite element/finite difference scheme was developed to solve Hele-Shaw flow of the compressible viscous fluid at non-isothermal conditions. To advance the melt front, a control volume approach was adopted. Thin complex 3-D shapes of cavities, runners, and sprues were discretized by employing triangular, cylindrical and/or rectangular strip elements. Mass conservation was applied to each control volume to solve for the pressure distribution. Directly applying a constant mass flow rate at the inlet removes calculation of the apparent pressure boundary conditions, resulting in better simulation condition. The Cross model was used to model viscosity and the Tait equation was employed to represent density as a function of temperature and pressure. The validity of the developed program was verified through comparisons with available data in the literature and the effect of compressibility on the pressure distribution was discussed. To reduce computation time, 1-D and 2-D elements were used instead of applying triangular elements and the numerical results were compared to each other.

DNS에 의한 원주 후류에서의 3차원 천이 (Three-Dimensional Transition in the Wake of a Circular Cylinder By Direct Numerical Simulation)

  • 강신정;타나하시 마모루;미야우치 토시오;모장오;이영호
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2001년도 추계학술대회논문집B
    • /
    • pp.570-577
    • /
    • 2001
  • Three-dimensional time-dependent flow past a circular cylinder is numerically investigated using direct numerical simulation for Reynolds number 280 and 300. The higher-order finite difference scheme is employed for the spatial distributions along with the second order Adams-Bashforth and the first order backward-Euler time integration. In x-y plane, the convection term is applied by the 5th order upwind scheme and the pressure and viscosity terms are applied by the 4th order central difference. And in spanwise, Navier-Stokes equation is distributed using of Spectral Method. At Reynolds number 259 the two-dimensional wake becomes linearly unstable to a second branch of modes with wavelength about 1.0 diameters at onset (B-mode). Present results of three-dimensional effects of in wake of a circular cylinder is represented with spanwise and streamwise vorticity contours as Reynolds numbers.

  • PDF

옥수수 전분 호화액의 리올로지 특성 (Rheological Characteristics of Thermal Gelatinized Corn Starch Solution)

  • 김주봉;이신영;김성곤
    • 한국식품과학회지
    • /
    • 제24권1호
    • /
    • pp.54-58
    • /
    • 1992
  • 국내 시판용 옥수수 전분을 시료로 하여 그 호화액의 전분농도와 측정온도에 따른 리올로지 특성을 조사하였다. $4{\sim}9%$ 옥수수 전분 호화액의 리올로지 거동은 Herschel-Bulkley 식에 적합하였고, 항복응력을 갖는 의가소성 유체의 특성을 나타내었다. 전분농도의 증가로 의가소성은 증가하였으나 의가소성의 온도의존성은 보이지 않았고, 겉보기 점도와 항복응력은 모두 지수함수적인 농도 및 온도의존성을 나타내었다. 이들 농도 및 온도에 따른 유동특성을 해석한 결과, 옥수수 면분 호화액에서 졸-겔 전이와 같은 구조적 변화를 일으키는 농도 및 항복응력을 나타내기 시작하는 농도는 각각 $6.22{\sim}6.52%$$2.6{\sim}6.52%$이었다.

  • PDF

핵연료 집합체내의 비등방성 난류 열전달에 관한 해석적 연구 (Analysis of Anisotropic Turbulent Heat Transfer in Nuclear Fuel Bundles)

  • Kim, Sin;Park, Goon-Cherl
    • Nuclear Engineering and Technology
    • /
    • 제20권1호
    • /
    • pp.35-46
    • /
    • 1988
  • 원자로의 설계나 안전성 분석을 위해서는 핵연료 집합체 내의 유동 구조와 열전달에 대한 지식이 매우 중요하다. 따라서 핵연료 집합체 내의 유체 온도 분포를 정확히 계산하기 위해서는 냉각재 유로 내에서의 속도분포를 정확히 알아야 하는데 이것은 복잡한 난류 현상 때문에 예측하기가 매우 어렵다. 본 연구는 비등방성을 고려한 2-방정식 모형을 사용하여 속도분포를 구하고 핵연료 표면에서의 균일열속을 가정하므로써 유로내에서의 속도 분포를 예측하였다. 수치해는 Galerkin유한 요소법에 의해 핵연료봉 표면까지 구하여졌다. 수치 결과는 알려진 실험치 및 계산치와 비교되어 잘 일치하고 있고, 또한 난류 비등방성이 유로 내의 평균속도와 온도분포에 영향을 미치고 있음을 보았다. 그리고 조밀한 삼각 배열 핵연료 집합체(P/D=1.05-1.3) 내에서 나트륨 냉각재를 사용한 경우의 Nu-P/D관계식을 수립하였다.

  • PDF

핵연료 집합체 내에서의 이차유동이 난류에 미치는 영향에 대한 해석적 분석 (Analysis of Secondary Flow Effects on Turbulent Flow in Nuclear Reactor Fuel Rod Bundles)

  • Shon, Jae-Yeong;Park, Goon-Chul
    • Nuclear Engineering and Technology
    • /
    • 제23권3호
    • /
    • pp.275-284
    • /
    • 1991
  • 핵연료봉의 정방형 또는 삼각형 배열내의 2차 난류 유동의 해석은 연료봉내의 온도분포와 열전달 과정의 해석에 있어서 중요한 문제이다. 비등방성 난류모델과 등방성 난류모델을 사용하여 속 도장을 구하였고 열수력학적 성질이 일정하다는 가정하에 지배방정식을 유한 요소법을 사용하여 수치해석적인 방법으로 해를 구하였다. 또한 연료봉 표면 근처에서는 유체의 유동이 난류가 아니기 때문에 축 방향 속도는 벽의 법칙에 의해서 계산하였다. 이러한 방법에 의해서 구해진 해는 실험 결과와 비교되었고 비교적 잘 일치하였다.

  • PDF

비대칭 그루브 저널 베어링으로 지지되는 하드디스크 스핀들 시스템의 동특성 해석 (Analysis of the Dynamic Characteristics of a HDD Spindle System Supported by Asymmetrically Grooved Journal Bearings)

  • 이상훈;김학운;장건희;김철순
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2004년도 춘계학술대회논문집
    • /
    • pp.748-752
    • /
    • 2004
  • Fluid dynamic bearings (FDBs) have been replacing ball bearings of the HDD spindle motor very rapidly. But there are several demerits of HDB, such as high friction torque, variable viscosity of the fluid lubricant depending on operating temperature, low stiffness, and etc. Eccentricity is one of the major parameters which affects the static and dynamic characteristics. As the static eccentricity is larger, the stiffness and the damping coefficients become bigger. But friction torque is relatively unaffected by the static eccentricity. This research proposes a new type of journal bearing with asymmetric journal grooves which results in better dynamic characteristics. The static and dynamic characteristics of the new journal bearing are investigated by solving the Reynolds' equation with FEM, and the transient analysis is performed to predict the dynamic behavior of rotor by solving the equations of motion of a HDD spindle system with Runge-Kutta method. The result shows that the proposed Journal bearings have much bigger stiffness and damping coefficients compared with the conventional symmetric ones. And consequently, it has smaller whirl radius and tilting angle.

  • PDF

쌀 전분의 노화 특성에 관한 연구 (Studies on the Retrogradation Properties of Rice Starch)

  • 이찬
    • 한국식품영양학회지
    • /
    • 제16권2호
    • /
    • pp.105-110
    • /
    • 2003
  • 밥의 식미에 영향을 주는 쌀품종별 노화특성에 관한 연구에서 아밀로오스 함량과 gel consistency가 다른 5가지 품종에 대하여 조사하였다. Brabender amylograph에 의한 쌀품종별 호화특성에서는 아밀로오스 함량에 관계없이 hard gel인 품종이 높은 setback 값을 보였다. 저장시의 경도변화에서는 아밀로오스 함량이 높은 품종의 최종경도가 더 높았다. 또한 Avrami equation에 의한 쌀전분겔의 노화특성 연구에서도 아밀로오스 함량이 높은 품종에서 노화속도를 나타내는 지표로서 사용되는 time constant(l/k)값이 더 높은 것으로 나타남에 따라 아밀로오스 함량이 쌀전분의 노화현상에서 매우 중요한 요인라는 것을 알 수 있었다.