• Title/Summary/Keyword: (A, $\eta$

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Scaling law in MHD turbulence small-scale dynamo

  • Park, Kiwan;Ryu, Dongsu
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.2
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    • pp.74.2-74.2
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    • 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.

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A Study on Ion Exchange and Resin Regeneration Characteristics of Ethanolamine for Removal COD and N (COD 및 N 제거를 위한 에탄올아민의 이온교환 및 수지 재생특성 연구)

  • Kim, Jong-Young;Jeong, Eun-Sun;Ku, Hee-Kwon;Rhee, In-Hyoung;Park, Byung-Gi
    • Proceedings of the KAIS Fall Conference
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    • 2008.11a
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    • pp.419-422
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    • 2008
  • ETA(Ethanolamine, 에탄올아민)는 Amine의 일종으로 정밀화학 제품의 중간원료로서 화학제품 제조나 비행기 기관 및 원전 2차계통의 부식방지제, 이산화탄소와 같은 산성 성분을 흡수하는 흡수제로 각종 산업에서 다양하게 사용되고 있는 화학물질이다. 이러한 ETA는 탄소와 질소, 산소로 이루어진 매우 안정된 유기화합물로 상온에서는 휘발성을 띠지만, 산/염기 평형상수가 9 이상이므로 9 이하일 경우에는 수중에 존재하며 COD 및 T-N을 유발하므로 제거해야 한다. 따라서 본 연구에서는 수중에 존재하는 ETA를 제거하기 위해 온도와 농도에 따른 양이온교환 및 재생용액의 농도, 반응시간에 따른 양이온 교환수지 재생특성을 조사하였다. 양이온교환 수지의 이온교환능력은 ETA의 농도 및 온도에 영향을 받았으며 농도와 온도가 증가할수록 파과시간은 단축되었다. 양이온교환 수지의 재생효율은 재생액의 농도 및 반응시간에 영향을 받았으며, 재생액의 농도 및 반응시간이 증가할수록 재생효율은 증가하였다.

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An Experimental Study on the Characteristics of the Emulsion Viscosity (어멀젼의 점성특성에 관한 실험적 연구)

  • 지창헌
    • Tribology and Lubricants
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    • v.7 no.1
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    • pp.55-60
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    • 1991
  • The emulsion lubrication is expected to get the effects of cooling and lubrication in metal cutting. The purpose of this research was to investigate the lubrication characteristics of the emulsion in a region of the elastohydrodynamic lubrication by experiments using o/w type emulsion lubrication. With the line contact frictional experiment apparatus which is the model of a rolling mechanism, friction coefficient, and oil film thickness were measured. By analyzing these experimental data with the variables of emulsion concentration, load, and rolling velocity, the following results are obtained. Emulsion viscosity $\eta$ for the concentration and pressure can be calculated by the following equation $\eta=\eta_o e^{\alphap}\cdot e^{\beta \phi}$. Where $\beta = (-3.7242+\phi)/\phi, 5%\leq \phi \leq 15%$.

A Study on the Development of a Ultrasonic Electronic Travel Aid for the Blind (시각장애자의 보행을 유도하기 위한 초음파형 전자보행유도기의 개발에 관한 연구)

  • 김동욱
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.3 no.4
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    • pp.227-232
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    • 2002
  • Electronic Travel Aids (ETA) developed for the blind such as sonicguide, mowat sensor and bionic C-5 laser cane have many problems like technical deficiency and high cost. Moreover, these systems have need for more training to perceive obstacle around. Therefore, In this study, we studied the blind's obstacle perception characteristics by human auditory sense, and development of ultrasonic ETA which have more simple usage, low cost and immediate usableness than present ETAs.

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ON OPTIMALITY OF GENERALIZED OPTIMIZATION PROBLEMS ASSOCIATED WITH OPERATOR AND EXISTENCE OF (Tη; ξθ)-INVEX FUNCTIONS

  • Das, Prasanta Kumar
    • East Asian mathematical journal
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    • v.33 no.1
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    • pp.83-102
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    • 2017
  • The main purpose of this paper is to introduce a pair new class of primal and dual problem associated with an operator. We prove the sufficient optimality theorem, weak duality theorem and strong duality theorem for these problems. The equivalence between the generalized optimization problems and the generalized variational inequality problems is studied in ordered topological vector space modeled in Hilbert spaces. We introduce the concept of partial differential associated (PDA)-operator, PDA-vector function and PDA-antisymmetric function to show the existence of a new class of function called, ($T_{\eta};{\xi}_{\theta}$)-invex functions. We discuss first and second kind of ($T_{\eta};{\xi}_{\theta}$)-invex functions and establish their existence theorems in ordered topological vector spaces.

CERTAIN CLASS OF FRACTIONAL CALCULUS OPERATOR WITH TWO FIXED POINTS

  • Kwon, Oh-Sang
    • East Asian mathematical journal
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    • v.14 no.1
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    • pp.107-116
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    • 1998
  • This paper deals with functions of the form $f(z)=a_1z-{\sum}{\limits}_{n=2}^{\infty}a_nz^n(a_1>0,\;a_n{\geqslant}0)$ with $(1-{\mu})f(z_0)/z_0+{\mu}f'(z_0)=1(-1. We introduce the class $\varphi({\mu},{\eta},{\gamma},{\delta},A,B;\;z_0)$ with generalized fractional derivatives. Also we have obtained coefficient inequalities, distortion theorem and radious problem of functions belonging to the calss $\varphi({\mu},{\eta},{\gamma},{\delta},A,B;\;z_0)$.

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ON CHARACTERIZATIONS OF REAL HYPERSURFACES WITH ${\eta}-PARALLEL$ RICCI OPERATORS IN A COMPLEX SPACE FORM

  • Kim, In-Bae;Park, Hye-Jeong;Sohn, Woon-Ha
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.235-244
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    • 2006
  • We shall give a characterization of a real hypersurface M in a complex space form Mn(c), $c\;{\neq}\;0$, whose Ricci operator and structure tensor commute each other on the holomorphic distribution of M, and the Ricci operator is ${\eta}-parallel$.

SENSITIVITY ANALYSIS FOR A SYSTEM OF GENERALIZED NONLINEAR MIXED QUASI-VARIATIONAL INCLUSIONS WITH (A, η)-ACCRETIVE MAPPINGS IN BANACH SPACES

  • Jeong, Jae-Ug;Kim, Soo-Hwan
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.6
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    • pp.1175-1188
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    • 2009
  • In this paper, we study the behavior and sensitivity analysis of the solution set for a new system of parametric generalized nonlinear mixed quasi-variational inclusions with (A, ${\eta$)-accretive mappings in quniformly smooth Banach spaces. The present results improve and extend many known results in the literature.

Rheological Properties of ${\beta}-Glucan$ Isolated from Non-waxy and Waxy Barley (메성 및 찰성보리 ${\beta}-Glucan$의 리올로지 특성)

  • Choi, Hee-Don;Park, Yong-Gon;Jang, Eun-Hee;Seog, Ho-Moon;Lee, Cherl-Ho
    • Korean Journal of Food Science and Technology
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    • v.32 no.3
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    • pp.590-597
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    • 2000
  • The rheological properties of ${\beta}-glucans$ isolated from non-waxy and waxy barley were investigated. ${\beta}-Glucan$ solutions showed pseudoplastic properties and their behaviors were explained by applying Power law model in the range of concentrations$(1{\sim}4%)$ and temperatures$(20{\sim}65^{\circ}C)$. The effects of temperature and concentration on the apparent viscosity at $700\;s^{-1}$ shear rate were examined by applying Arrhenius equation and power law equation, and their effect was more pronounced in waxy ${\beta}-glucan$ solutions. The activation energy for flow of ${\beta}-glucan$ solutions decreased with the increase of concentration, and the concentration-dependent constant A increased with the increase of temperature. The intrinsic viscosity of waxy ${\beta}-glucan$ was higher than that of non-waxy ${\beta}-glucan$. The transition from dilute to concentrate region occurred at a critical coil overlap parameter $C^*[{\eta}]=0.02.$ The slopes of non-waxy and waxy ${\beta}-glucan$ at $C[{\eta}] were similar, but the slope of waxy ${\beta}-glucan$ at $C[{\eta}]>C^*[{\eta}]$ was higher than that of non-waxy ${\beta}-glucan$. Dynamic viscoelasticity measurement showed that cross-over happened, and storage modulus was higher than loss modulus at frequency range above cross-over. ${\beta}-Glucan$ solutions formed weak gels after stored for 24 hr.

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ITERATIVE ALGORITHMS FOR A FUZZY SYSTEM OF RANDOM NONLINEAR EQUATIONS IN HILBERT SPACES

  • Salahuddin, Salahuddin
    • Communications of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.333-352
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    • 2017
  • In this research work, by using the random resolvent operator techniques associated with random ($A_t$, ${\eta}_t$, $m_t$)-monotone operators, is to established an existence and convergence theorems for a class of fuzzy system of random nonlinear equations with fuzzy mappings in Hilbert spaces. Our results improve and generalized the corresponding results of the recent works.