• Title/Summary/Keyword: Euler 해석

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Effects of the crucible shape on the temperature of sapphire crystal and the shape of melt/crystal interface in heat exchanger method (열교환법에서 도가니 형상 변화가 사파이어 결정 온도와 고/액 계면 형태에 미치는 영향)

  • 임수진;왕종회;임종인
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.14 no.4
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    • pp.155-159
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    • 2004
  • Numerical analysis which is based on finite element techniques, implicit Euler method and frontal solving algorithm was performed to study the effects of the crucible shape on the temperature of sapphire crystal and the shape of the melt/crystal interface in heat exchanger method. The computer simulation described here and effective to solving the heat transport phenomena with the transition of the interface shape from hemispherical to planar. In the work, various crucibles with differently shaped corners at their bottom are considered to improve the deflection of the melt/crystal interface. The shape of the crucible should be considered as one of the variables for the process optimization.

Spray Combustion Analysis for Unsteady State in Combustion Chamber of Liquid Rocket Engine Considering Droplet Fluctuation (액적변동을 고려한 액체로켓의 연소실 내 비정상 분무연소 해석)

  • Jeong, Dae-Kwon;Roh, Tae-Seong
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2006.11a
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    • pp.175-178
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    • 2006
  • A numerical study for spray combustion of fluctuated fuel and oxidizer droplets injected into combustion chamber has been conducted for the analysis of spray combustion considering characteristics of injector. The 2 dimensional unsteady state flow fields have been calculated by using QUICK Scheme and SIMPLER Algorithm. As the spray model, DSF model and Euler-Lagrange Scheme have been used. The sine Auction has been used for droplet fluctuation model of fuel and oxidizer, while the coupling effects of the droplets between gas phase and evaporated vapor have been calculated by using PSIC model.

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A Numerical Study on the Supersonic Separation of Air-launching Rocket from the Mother Plane (초음속 공중발사 로켓의 모선분리 현상에 관한 수치적 연구)

  • Ji, Young-Moo;Kim, Young-Shin;Lee, Jae-Woo;Park, Jun-Sang
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.8
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    • pp.18-25
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    • 2005
  • This paper describes a supersonic separation of air-launching rocket from the mother plane. Three dimensional Euler equations were numerically solved to analyze steady/unsteady state fluid flows. The results of simulation clearly demonstrate effect of shock-expansion wave interaction between the rocket and the mother plane. Moreover, important influential factors at separating stage of the rocket were extracted with a comprehensive analysis. Finally, from the consideration of supersonic-separation, a guideline to safety-separation is given to the design of supersonic air-launching rocket.

Numerical simulation on propagation of hydrocarbon flame in a deformable tube (변형하는 가스 이송관 내에서 전파하는 탄화수소화염의 수치 해석 모델링)

  • Gwak, Min-Cheol;Yoh, Jai-Ick
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2012.05a
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    • pp.304-308
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    • 2012
  • This paper presents a numerical investigation on propagation of hydrocarbon (ethylene-air mixture) detonation in a deformable copper tube. In this study, we deal with interactions of multi-materials, gas and solid. In gas phase, the model consists of the reactive compressible Navier-Stokes equations and one step chemical reaction. Also we use Inviscid Euler equations in solid. In order to the interface tracking and the determination of boundary values, our model handle level-set and ghost fluid method. Through the numerical simulation results, we identify generations of expansion waves and interferences by the wall deformation. In addition, we predict the minimum copper tube thickness that ensures safety under an incident detonation.

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너비감소 판형 홀다운스프링 집합체의 탄성강성도 특성해석 및 평가방법 보정

  • 송기남;강흥석;윤경호;서정민;이진석
    • Proceedings of the Korean Nuclear Society Conference
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    • 1998.05b
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    • pp.169-174
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    • 1998
  • 두께는 일정하나 너비가 균일하게 변하는 판스프링들로 구성된 너비감소 판형 홀다운 스프링 집합체에 대한 탄성강성도 특성해석을 수행하였다. 국산 경수로 핵연료의 홀다운스프링 집합체와 동일한 설계공간내에 있도록 고안한 여러 종류의 너비감소 판형 홀다운 스프링 집합체 시편에 대한 탄성강성도를 해석적으로 평가하였고 특성시험을 수행하였다 또한 실제 시험 결과들을 잘 예측할 수 있도록 Euler 보 이론과 변형률 에너지법에 근거한 탄성강성도 평가방법을 보정하였다.

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A Study on Steady-State Performance Analysis and Dynamic Simulation for Medium Scale Civil Aircraft Turbofan Engine (I) (중형항공기용 터보팬엔진의 정상상태 성능해석 및 동적모사에 관한 연구 (I))

  • 공창덕;고광웅;기자영
    • Journal of the Korean Society of Propulsion Engineers
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    • v.2 no.2
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    • pp.47-55
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    • 1998
  • Steady-state and transient performance for the medium scale civil aircraft turbofan engine was analyzed. Steady-state performance was analyzed on maximum take-off condition, maximum climb condition, and cruise condition. At 90%RPM of the low pressure compressor, the partload performance was economized. The transient performance was analyzed with cases of the step increase, the ramp increase, the ramp decrease, and the step increase and ramp decrease for the input fuel flow. For the transient performance analysis, work matching between compressor and turbine was needed. Modified Euler method was used the integration of residual torque in work matching equation. At all flight condition, the overshoot of the high pressure turbine inlet temperature was appeared in the step and ramp increase case, and the surge of high pressure compressor was appeared in the step increase case and the ramp increase case within 5.5 seconds of maximum climb condition.

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A Novel Methodology of Improving Stress Prediction via Saint-Venant's Principle (생브낭의 원리를 이용한 응력해석 개선)

  • Kim, Jun-Sik;Cho, Maeng-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.2
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    • pp.149-156
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    • 2011
  • In this paper, a methodology is proposed to improve the stress prediction of plates via Saint Venant's principle. According to Saint Venant's principle, the stress resultants can be used to describe linear elastic problems. Many engineering problems have been analyzed by Euler-Bernoulli beam(E-B) and/or Kirchhoff-Love(K-L) plate models. These models are asymptotically correct, and therefore, their accuracy is mathematically guaranteed for thin plates or slender beams. By post-processing their solutions, one can improve the stresses and displacements via Saint Venant's principle. The improved in-plane and out-of-plane displacements are obtained by adding the perturbed deflection and integrating the transverse shear strains. The perturbed deflection is calculated by applying the equivalence of stress resultants before and after post-processing(or Saint Venant's principle). Accuracy and efficiency of the proposed methodology is verified by comparing the solutions obtained with the elasticity solutions for orthotropic beams.

Verification of an Analysis Method for Maglev Train-Guideway Interaction Using Field Measurement Data (현장 계측치와의 비교를 통한 자기부상열차-가이드웨이 상호작용 해석기법 검증)

  • Lee, Jin Ho;Kim, Lee Hyun;Kim, Sung Il
    • Journal of the Korean Society for Railway
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    • v.17 no.4
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    • pp.233-244
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    • 2014
  • In this study, an analysis method for maglev train-guideway interaction is verified using field measurement data. The cabin and bogies of the maglev train are modeled as rigid bodies that are allowed to have heave and pitch motions. Levitation forces from the electromagnetic suspensions on the bogies are controlled using an active control algorithm. The guideway is represented using the Euler-Bernoulli beam. Considering rigorously the changes in air-gaps and material points at which the levitation forces are applied due to the pitch motions of the bogies, dynamic analysis of maglev train-guideway interaction is performed. Using field measurement data, obtained from the Incheon Airport Maglev Railway, the analysis method is verified. Accuracy of the analysis method is investigated. It is determined that the structures in the railway are designed and constructed safely according to the design code for maglev railways.

A Numerical Analysis of Free Surface Wave around a ship (선체주위 자유수면파의 수치해석)

  • Choon-Bum Hong;Seung-Hee Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.3
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    • pp.80-86
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    • 1994
  • A numerical method for simulations of inviscid incompressible flow fields around a ship advancing on the free surface is developed. A body fitted coordinate system, generated by numerically solving elliptic type partial differential equations is used to conform the ship and free surface configurations. Three dimensional Euler equations transformed to the non-staggered body fitted coordinate system are discretised by finite difference method. Time and spatial derivatives are discretised by forward and centered differencings, respectively, and artificial dissipations are added to discretised convection terms for improvements of numerical stability. At each time steps, free surface elevations are recomputed to satisfy nonlinear free surface conditions. Poisson equations for pressure field are solved iteratively and the velocity field for next time step is extrapolated. To verify the developed numerical method, flow fields around a Wigley model are simulated(Fn=0.250-0.408) and compared with experimental data to show good agreements.

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Vibration and Dynamic Sensitivity Analysis of a Timoshenko Beam-Column with Ends Elastically Restrained and Intermediate Constraints (중간구속조건을 갖는 양단탄성구속 Timoshenko 보-기동의 진동 및 동특성감도 해석)

  • J.H. Chung;W.H. Joo;K.C. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.1
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    • pp.125-133
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    • 1993
  • Most studies on the vibration analysis of a beam-column with ends elastically restrained and various intermediate constraints have been based on the Euler beam theory, which is inadequate for beam-columns of low slenderness ratios. In this paper, analytical methods for vibration and dynamic sensitivity of a Timoshenko beam-column with ends elastically restrained and various intermediate constraints are presented. Firstly, an exact solution method is shown. Since the exact method requires considerable computational effort, a Rayleigh-Ritz analysis is also investigated. In the latter two kinds of trial functions are examined for comparisions : eigenfunctions of the base system(the system without intermediate constraints) and polynomials having properties corresponding to the eigenfunctions of the base system. The results of some numerical Investigations show that the Rayleigh-Ritz analysis using the characteristic polynomials is competitive with the exact solutions in accuracy, and that it is much more efficient in computations than using the eigenfunctions of the base system, especially in the dynamic sensitivity analysis. In addition, the prediction of the changes of natural frequencies due to the changes of design variables based on the first order sensitivity is in good agreements with that by the ordinary reanalysis as long as the changes of design variables are moderate.

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