• Title/Summary/Keyword: extremum

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Numerical analysis of natural convection from a horizontal isothermal surface immersed in water near its density extremum (최대밀도점 부근의 물속에 잠겨있는 수평등온도면에 의하여 야기되는 자연대류의 수치해석)

  • 김병하;조승환;유갑종
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.1
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    • pp.197-206
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    • 1990
  • Numerical results of heat transfer from a horizontal isothermal surface are presented for wall temperature T$_{w}$ = 0 .deg. C and ambient water temperature, T$_{\infty}$, from 1 .deg. C to 15 .deg. C. They include streamlines, temperature profiles, local heat transfer coefficients and average Nusselt numbers for the entire flow fields. For a upward-facing horizontal isothermal surface, the results show steady two dimensional flow regimes for T$_{\infty}$ .leg. 4.4 .deg. C, but no solution was obtained above T$_{\infty}$ = 4.4 .deg. C. For a downward-facing horizontal isothermal surface, the flow regimes are steady two dimensional flow for T$_{\infty}$ .geq. 4.9 .deg. C, and the numerical calculation was failed below this ambient water temperature. The mean Nusselt number has its maximum value at about T$_{\infty}$ = 3.4 .deg. C for upward-facing horizontal isothermal surface. For the case of downward-facing horizontal isothermal surface, the mean Nusselt number increases as the ambient water temperature increases.es.s.s.

Numerical Analysis of Natural Convection from a Horizontal Surface Immersed in Cold Water (저온의 물속에 잠겨있는 수평 평면에 의하여 야기되는 자연대류의 수치해석)

  • 유갑종;예용택;권혁용
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.6
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    • pp.1195-1204
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    • 1992
  • The natural convection from upward and downward facing horizontal isothermal plate immersed in water is studied numerically. The temperature of the plate is from 0.0 .deg. C to 8.0 .deg. C and the ambient water temperature is from 1.0 .deg. C to 10.0 .deg. C. Numerical results are presented for the velocity profiles, temperature profiles, local heat transfer coefficients, and average Nusselt numbers over the entire flow fields. Flow patterns are shown in the upward and downward facing surfaces at different ambient water temperatures. For the upward facing surface, there are upflow and unsteady flow. And the regions of the ambient water temperatures which give rise to the upflow are more extensive as the temperatures of the isothermal surface become more distant from the density extremum temperature. For the downward facing surface, only the downflow region is shown. For the upward facing horizontal isothermal surface, the average Nusselt number(= N $u_{1}$$^{*}$) is 28.86(Ra)$^{0.01}$. And for the downward facing surface, the average Nusselt number(= N $u_{2}$$^{*}$) is $C_{2}$(Ra)$^{0.2}$ and the values of $C_{2}$ are enlarged in the range of 0.785 .leq. $C_{2}$ .leq. 1.250 as increasing of the temperatures of the isothermal surface.ace.ace.

The Effect of Pressure on the Solvolysis of Benzylchlorides. p-Methoxybenzyl Chloride in Ethanol-Water Mixtures (염화벤질류의 가용매분해반응에 대한 압력의 영향. 에탄올-물 혼합용매내에서 p-메톡시 염화벤질의 분해반응)

  • Oh Cheun Kwun;Jin Burm Kyong;Kee Joon Choi
    • Journal of the Korean Chemical Society
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    • v.30 no.3
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    • pp.301-306
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    • 1986
  • The rate constants for the solvolysis reactions of p-methoxybenzylchloride in ethanol-water mixtures were determined at 2$^{\circ}$ and 10$^{\circ}C$ up to 1600bar. Rates of reaction were increased with increasing temperature and pressure, and decreased with increasing solvent composition of ethanol mole fraction. From the rate constants, the values of the activation parameters (${{\Delta}V_o}^{\neq},\;{\Delta}{\beta}^{\neq},\;{\Delta}H^{\neq},\;and\;{\Delta}S^{\neq}$) were evaluated. The values of ${{\Delta}V_o}^{\neq}$ and ${\Delta}{\beta}^{\neq}$ exhibit the extremum behavior at about 0.30 mole fraction of ethanol. This behavior is discussed in terms of solvent structure variation. From these results, it could be postulated that the reaction proceeds through $S_N1$ mechanism.

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The Effect of Pressure on the Solvolysis of Benzylchlorides (II). p-Chlorobenzyl Chloride in Ethanol-Water Mixtures (염화벤질류의 가용매분해반응에 대한 압력의 영향 (제 2 보). 에탄올-물 혼합용매내에서 p-클로로 염화벤질의 분해반응)

  • Oh Cheun Kwun;Jin Burm Kyong
    • Journal of the Korean Chemical Society
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    • v.30 no.2
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    • pp.188-194
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    • 1986
  • The rate constants for the solvolysis reactions of p-chlorobenzyl chloride in ethanol-water mixtures were determinded at 30${\circ}\;and\;40{\circ}$C up to 1,600bar. Rates of reaction were increased with increasing temperature and pressure, and decreased with increasing solvent composition of ethanol mole fraction. The plots of ln k against pressure are fitted to a second-order function in P, and values of ${\Delta}V^{\neq}\;and\;${\Delta}{\beta}^{\neq}$ are obtained. The values of ${\Delta}V^{\neq}\;and\;${\Delta}{\beta}^{\neq}$ extremum behavior at about 0.20 mole fraction of ethanol. This behavior is discussed in terms of solvent structure variation. From the relation between the plots of ln k versus the solvent parameter, q ≡ (D-1)/(2D+1), or the logarithmic molar water concentration, In $C_w$, it could be estimated that the reaction proceeds through $S_N1(2)$ mechanism.

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Pressure Effect on the Solvolysis of o-Methylbenzyl Chloride in Ethanol-Water Mixtures (o-메틸염화벤질의 가용매분해반응에 대한 압력의 영향)

  • Oh Cheun Kwun;Jin Burm Kyong;Yong Kyun Shin
    • Journal of the Korean Chemical Society
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    • v.30 no.1
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    • pp.40-46
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    • 1986
  • Rate constants for the solvolysis of o-methylbenzyl chloride were determined at 30$^{\circ}$ and 40$^{\circ}$C in aqueous ethanol mixtures under various pressures up to 1600 bar. From the rate constants, the activation parameters ${\Delta}V^{\neq}$, ${\Delta}{\beta}^{\neq}$, ${\Delta}H^{\neq}$, ${\Delta}S^{\neq}$ and${\Delta}G^{\neq}$ were evaluated. The values exhibit the extremum behavior at about 0.30 mole fraction of ethanol. This behavior is discussed in terms of electrostriction. To examine the reaction mechanism by Laidler and Eyring equation, we compared the rate constants with the dielectric constants of aqueous ethanol and the number of water molecule participated in the transition state. It was concluded that solvolytic reaction proceeds via $S_N$1 mechanism.

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Instability and Transition of Nonparallel Bouyancy-Induced Flows Adjacent to an Ice Surface Melting in Water (얼음 벽면의 융해율을 고려한 비평행 자연대류에서 유동의 불안정성과 천이에 관한 연구)

  • Hwang, Y.K.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.8 no.3
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    • pp.437-450
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    • 1996
  • A set of stability equations is formulated for natural convection flows adjacent to a vertical isothermal surface melting in cold pure water. It takes account of the nonparallelism of the base flows. The melting rate is regarded as a blowing velocity at the ice surface. The numerical solutions of the linear stability equations which constitute a two-point boundary value problem are accurately obtained for various values of the density extremum parameter $R=(T_m-T_{\infty})/(T_0-T_{\infty})$ in the range $0.3{\leq}R{\leq}0.6$, by using a computer code COLNEW. The blowing effects on the base flow becomes more significant as ambient temperature ($T_{\infty}$) increases to $T_{\infty}=10^{\circ}C$. The maximum decrease of heat transfer rate is about 6.4 percent. The stability results show that the melting at surface causes the critical Grashof number $G^*$ and the maximum frequency of disturbances to decrease. In comparision with the results for the conventional parallel flow model, the nonparallel flow model has a higher critical Grashof number but has lower amplification rates of disturbances than does the parallel flow model. The spatial amplification contours exhibit that the selective frequency $B_0$ of the nonparallel flow model is higher than that of the parallel flow model and that the effects of melting are rather small. The present study also indicates that the selective frequency $B_0$ can be easily predicted by the value of the frequency parameter $B^*$ at $G^*$, which comes from the neutral stability results of the nonparallel flow model.

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Monotonicity Preserving Spectral Volume Method (Monotonicity Preserving Spectral Volume 기법)

  • Kim, Sung-Soo;Yoon, Sung-Hwan;Kim, Chong-Am
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.10
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    • pp.1-9
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    • 2005
  • Based on the monotonicity preserving concept, a new limiter, which is applicable to an arbitrary grid system, is developed. This new limiter preserves accuracy and monotonicity on an arbitrary grid system and it is also applicable to spectral volume concept. Numerical experiments for 1-D and 2-D flow show the characteristics of the new limiter.

A Method to Detect Object of Interest from Satellite Imagery based on MSER(Maximally Stable Extremal Regions) (MSER(Maximally Stable Extremal Regions)기반 위성영상에서의 관심객체 검출기법)

  • Baek, Inhye
    • Journal of the Korea Institute of Military Science and Technology
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    • v.18 no.5
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    • pp.510-516
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    • 2015
  • This paper describes an approach to detect interesting objects using satellite images. This paper focuses on the interesting objects that have common special patterns but do not have identical shapes and sizes. The previous technologies are still insufficient for automatic finding of the interesting objects based on operation of special pattern analysis. In order to overcome the circumstances, this paper proposes a methodology to obtain the special patterns of interesting objects considering their common features and their related characteristics. This paper applies MSER(Maximally Stable Extremal Regions) for the region detection and corner detector in order to extract the features of the interesting object. This paper conducts a case study and obtains the experimental results of the case study, which is efficient in reducing processing time and efforts comparing to the previous manual searching.

Experimental Study of Natural Convection from a Slightly Inclined Cylinder with Uniform Heat Flux Immersed in Cold Pure Water (저온의 순수물속에 잠겨있는 약간 경사진 균일 열유속 원기등에 의한 자연대류의 실험적 연구)

  • 유갑종;추홍록;장우석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.7
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    • pp.1799-1807
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    • 1994
  • Natural convection from a slightly inclined circular cylinders immersed in quiescent cold pure water was studied experimentally. The experiment was carried out for circular cylinders with uniform heat flux ranging from $100W/m^{2} to 800 W/m^{2}$ and inclined angle ranging from horizontal $({\phi}=0^{\circ}) to 15^{\circ}$. The flow fields around cylinder were visualized and heat transfer characteristics investigated by measuring the surface temperatures for each case. As the results, it is shown that flow patterns are changed consecutively through the sequence of steady state downflow, unsteady state flow and steady state upflow with increasing heat flux. At the same inclined angle, as heat flux increases, the average Nusselt number decreases and then increases. At the same heat flux, as inclined angle increases, the average Nusselt number decreases.

Simulation of square-to-oval single pass rolling using a computationally effective finite and slab element method

  • 이상매;김낙수
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1991.04a
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    • pp.237-242
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    • 1991
  • Shape rolling has been studied experimentally by many researchers. As large numbers of process variables are involved and the material flow is difficult to analyze in shape rolling, the use of numerical techniques as an engineering tool becomes extremely attractive. The first numerical approach to the three-dimensional plastic deformation of rolling was to investigate side spread in flat rolling. Oh and Kobayashi conducted a pioneering study in this field by applying an extremum principle for rigid, perfectlyplastic materials combined with the numerical computation. Since then, several other researchers have used three-dimensional finite element method for analysing spread in rolling . In this investigation of shaperolling al the computer simulations of shape rolling were conducted using TASKS. To verify the predictive capabilities of TASKS the first example chosen was square-to-round shape rolling