• Title/Summary/Keyword: Theoretical equation

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Development of the Discrete-Ordinates, Nodal Transport Methods Using the Simplified Even-Parity Neutron Transport Equation

  • Noh, Taewan
    • Nuclear Engineering and Technology
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    • v.32 no.6
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    • pp.605-617
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    • 2000
  • Nodal transport methods are studied for the solution of two dimensional discrete-ordinates, simplified even-parity transport equation(SEP) which is known to be an approximation to the true transport equation. The polynomial expansion nodal method(PEN) and the analytic function expansion nodal method(AFEN)which have been developed for the diffusion theory are used for the solution of the discrete-ordinates form of SEP equation. Our study shows that while the PEN method in diffusion theory can directly be converted without complication, the AFEN method requires a theoretical modification due to the nonhomogeneous property of the transport equation. The numerical results show that the proposed two methods work well with the SEP transport equation with higher accuracies compared with the conventional finite difference method.

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A New General Equation of Mean Particle Size for Different Atomization Processes

  • Liu, Yunzhong;Li, Yuanyuan
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 2006.09a
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    • pp.6-7
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    • 2006
  • Based on theoretical analysis, a new general equation of mean particle size applicable to both conventional atomization methods and new atomization processes is presented. In gas atomization, it is equivalent with and can be changed into Lubanska Equation. In centrifugal atomization, it can be changed into the equations that are currently the most widely used. In water atomization, it is similar to the equation proposed by Grandzol and Tallmadge. According to the universal equation, new correlations for mean particle size in novel atomization processes such as Hybrid Atomization and Multistage Atomization were proposed and agreed with our experimental data well.

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Theoretical Derivation of the Optimum Rotation Speed of a Desiccant Rotor (이론적 방법에 의한 제습로터 최적 회전속도의 결정)

  • Lee, Dae-Young;Song, Gwi-Eun
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.21 no.10
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    • pp.575-582
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    • 2009
  • The optimum rotation speed of a desiccant rotor is studied theoretically based on a theoretical solution to the heat and mass transfer processes in the desiccant rotor. A simple correlation equation for the optimum rotation speed is derived to show the effects of various parameters including the thermo-physical properties, the geometric dimension, and the operating condition of the desiccant rotor. The theoretical result is compared with existing experimental data to validate the linearization and simplification included in the solution procedure. Based on the theoretical solution, the effects of major parameters on the optimum rotation speed are studied and the fundamental mechanism of the influences is investigated.

A Study on the Width Spread in Flat Rolling of Spring Steel (스프링강의 판압연시 폭확대에 관한 연구)

  • Park, Jae-Suk;Choi, Woon;Nam, Seung-Eui
    • Transactions of Materials Processing
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    • v.4 no.2
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    • pp.151-158
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    • 1995
  • In this study, the width spreads of spring steel including Mn-Cr steel(SUP 9A), Mn-Cr-V steel(SUP 11A), and Si-Cr steel(SAE 9254) and were investigated under different reduction ratios and thickness-width ratios friction coefficients. The experimental results were compared with the theoretical prediction by the Ekelund equation, Geuze equations, etc. The width spreads of the three spring steels were found to be 10-15% larger than mild steel, and the optimal reduction ratio for the spring steel was found in a range from 20 to30%. Among the spring steels, the width spread of Mn-Cr-V steel was measured to be the largest followed by those of Si-Cr steel and Mn-Cr steel. It was found that the width spread increased with friction coefficient, width-thickness ratio and reduction ratio as predicted. However, the theoretical predictions revealed smaller width spread than the experimental results. This finding indicates that the coefficients of the width spread of the theoretical models need to be modified in order to predict the actual behavior of the width spreading of the spring steels. In this study, the coefficients of width spread of the Geuze equation were determined from the experimental results.

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A Study on the prediction of braking time for rotor brake system considering the friction coefficient variation with temperature (마찰계수의 변화를 고려한 로터 브레이크 시스템의 제동시간 예측)

  • Choi, Jang-Hun;Oh, Min-Hwan;Cho, Jin-Yeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.7
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    • pp.653-660
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    • 2009
  • A helicopter rotor brake system stops or reduces the speed of the rotor by transforming the kinetic energy into the heat energy. The frictionally generated heat has a considerable effect on the frictional property of material itself and causes the change of the friction coefficient which may affect the breaking time significantly. In this paper, to take into account the effect of change of friction coefficient according to temperature on braking time, thermo-mechanically coupled analysis is carried out by commercial software ABAQUS. Further, simple theoretical equation is derived considering thermo-mechanical behaviors. The predicted braking times both from theoretical and numerical methods are compared and validity of proposed theoretical equation is investigated.

Model to Predict Absorbed Amino Acid Supply at the Proximal Duodenum in Growing Beef Cattle

  • Yan, Xianghua;Xu, Zirong;Zhang, Wen-ju;Wang, Jiaqi
    • Asian-Australasian Journal of Animal Sciences
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    • v.18 no.3
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    • pp.358-363
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    • 2005
  • Five crossbred beef cattle (Simmental${\times}$yellow cattle, Shantung Province) fitted with permanent cannulae in the rumen and T-type cannulae at the proximal duodenum and terminal ileum, were fed five different diets containing corn, cotton meal or soybean meal and ammoniated straw to determine the dry matter, crude protein and amino acid flows in duodenal and ileum digesta, and to calculate the regression equations between theoretical and experimental concentration of AA in duodenal digesta. The results showed that there was a strong correlation between experimental (g/d, y) and theoretical CP flows (g/d, x) at the proximal duodenum, the $R^2$-value regression equation of crude protein is very high (0.9636). The $R^2$-value regression equation of the limiting amino acid (such as Met or Lys) is high (0.7573 or 0.9252 respectively). This results indicated that we can formulate better diets fed to beef cattle according to the theoretical amino acid concentration. A mathematical model has been successfully constructed for predicting the supply of absorbed amino acids at the proximal duodenum in growing beef cattle.

The optimum design of InGaAsP/InP RWG MQW-LD (InGaAsP/InP RWG MQW-LD의 최적 설계)

  • 하홍춘;오수환;이석정;박윤호;오종환;홍창희
    • Korean Journal of Optics and Photonics
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    • v.7 no.4
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    • pp.375-385
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    • 1996
  • Recently interest in the fabrication of LD operated by low current is gradually increasing as fabrication techniques of MQW-LD are progressed. In this viewpoint, theoretical estimation for decreasing the amount of threshold current will be helpful to design and make LD in case that active layer of conventional bulk type RWG-LD structure is replaced with MQW structure. Therefore, the optimum design condition of RWG MQW-LD was obtained from theoretical analysis in order to operate in the weakly index-guided LD and low threshold current. The lateral effective index step has been obtained in RWG MQW-LD structure. Waveguide mechanism including this index step has been investigated by solving the carrier diffusion equation and lateral wave equation. From these theoretical results, the optimum design condition of RWG MQW-LD have been suggested.

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Theoretical Analysis of Sealless Piston for Hydraulic Cylinders (시일이 없는 유압 실린더용 피스톤의 이론해석)

  • Park, T.J.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.3 no.3
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    • pp.1-7
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    • 2006
  • In this paper, a theoretical analysis is carried out to study the lubrication characteristics of sealless piston for hydraulic cylinders. The analytical pressure distributions are obtained solving one-dimensional Reynolds equation with partially tapered moving piston. Nearly analytical expressions for lateral forces acting on the piston and leakage flow rate through the clearance are also presented. Using the analytical expressions, the influence of design parameters on lubrication characteristics can be easily evaluated without numerical analysis. Composite-shaped piston which minimizes the leakage flow rate is the optimum in sealless piston for hydraulic cylinder.

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The Design and Construction of light transducer at low level (미광증폭소자의 설계 및 제작에 관하여)

  • 전구재;홍창희
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.11 no.6
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    • pp.25-32
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    • 1974
  • This paper was studied as the following steps. 1) The relation between the brightness and the AC voltage on the EL cell made from ZnS powder was investigated. 2) The relation among the photocurrent, the applied AC voltage and the illumination on the protoconductive cell which was made of CdS powder, was examined. 3) From the above relations approximate equations were made. Also the theoretical gain equation of the light amplifier was derived. 4) Comparing the theoretical gain value to the experimental gain value of the light amplifier which was composed of EL and PC cells, it was come to the conclusion that the gain equation was correct within 2% errors and was useful to comprehensibility of the light amplifier and to design of it.

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Effect of Partial Pressure of the Reactant Gas on the Kinetic Model and Mechanical Properties of the Chemical Vapor Deposited Silicon Carbide (화학증착된 실리콘 카바이드 박막의 속도론적 모델 및 기계적 성질에 미치는 반응가스 분압의 영향)

  • 어경훈;소명기
    • Journal of the Korean Ceramic Society
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    • v.28 no.6
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    • pp.429-436
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    • 1991
  • Silicon carbide has been grown by a chemical vapor deposition (CVD) technique using CH3SiCl3 and H2 gaseous mixture onto a graphite substrate. Based on the thermodynamic equilibrium studies and the suggestion that the deposition rate of SiC is controlled by surface reaction theoretical kinetic equation for CVD of silicon carbide has been proposed. The proposed theoretical kinetic equation for CVD of silicon carbide agreed well with the experimental results for the variation of the deposition rate as a function of the partial pressure of reactant gases. The Vikers microhardness of the SiC layer was about 3000∼3400 kg/$\textrm{mm}^2$ at room temperature.

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