• Structural Engineering and Mechanics
• /
• 제27권6호
• /
• pp.713-739
• /
• 2007

Nowadays computers can perform symbolic computations in addition to mere number crunching operations for which they were originally designed. Symbolic computation opens up exciting possibilities in Structural Mechanics and engineering. Classical areas have been increasingly neglected due to the advent of computers as well as general purpose finite element software. But now, classical analysis has reemerged as an attractive computer option due to the capabilities of symbolic computation. The repetitive cycles of simultaneous - equation sets required by the finite element technique can be eliminated by solving a single set in symbolic form, thus generating a truly closed-form solution. This consequently saves in data preparation, storage and execution time. The power of Symbolic computation is demonstrated by six examples by applying symbolic computation 1) to solve coupled shear wall 2) to generate beam element matrices 3) to find the natural frequency of a shear frame using transfer matrix method 4) to find the stresses of a plate subjected to in-plane loading using Levy's approach 5) to draw the influence surface for deflection of an isotropic plate simply supported on all sides 6) to get dynamic equilibrium equations from Lagrange equation. This paper also presents yet another computationally efficient and accurate numerical method which is based on the concept of derivative of a function expressed as a weighted linear sum of the function values at all the mesh points. Again this method is applied to solve the problems of 1) coupled shear wall 2) lateral buckling of thin-walled beams due to moment gradient 3) buckling of a column and 4) static and buckling analysis of circular plates of uniform or non-uniform thickness. The numerical results obtained are compared with those available in existing literature in order to verify their accuracy.

• Korean Chemical Engineering Research
• /
• 제54권4호
• /
• pp.487-493
• /
• 2016

양이온교환 고성능액체크로마토그래피에서 라이소자임을 분석하고, 실험결과인 크로마토그램을 통해 모멘트 분석을 수행하였다. 용리 인산완충용액은 1.0, 0.75, 0.5 M의 소금을 포함하였다. 실험변수는 유량, 용리 완충용액중 소금 농도, 시료의 농도로 하였다. General rate (GR) model을 도입하여 1차와 2차 모멘트를 해석하였다. 1차 모멘트 해석에서 평형상수 K를 구할 수 있으며, 이는 $L/u_0$ vs. $({\mu}_1-t_0)/(1-{\varepsilon}_e)(1-{\varepsilon}_i)$]를 도식화했을 때의 기울기이다. 2차 모멘트 해석에서 입자내 확산계수는 이론단수 실험자료에서 계산하였다. 모멘트 분석결과를 통해 여러 물질전달 현상이 이론단 상당높이(HETP)에 주는 영향을 알아보기 위해 van Deemter plot을 작성하고, 총괄 이론단 상당높이($H_{total}$)에 기여하는 $H_{ax}$, $H_f$, 그리고 $H_d$를 조사하였다. 그 중 입자내 확산계수를 나타내는 $H_d$가 가장 지배적이었고, 외부 물질전달 계수를 나타내는 $H_f$의 영향이 가장 미미했다.

• Nuclear Engineering and Technology
• /
• 제23권4호
• /
• pp.387-400
• /
• 1991

해수유동에 의한 이류와 부유물과의 상호작용에 의한 해양에서의 핵종이동을 모사하여 시간에 따른 핵종농도의 파과곡선을 구할 수 있는 해양구획모델이 개발되었다. 해양을 임의 수의 구획으로 나누어 각 구획간의 질량수지를 통해 지배 방정식을 세우고 이에 대한 해를 stiff한 문제에 유용한 수치적분방법을 이용하여 구하였다. 2차원 해수유동모델을 이용하여 해수교체시간을 계산한 후 각 구획간의 해수유동에 의한 이류수송을 나타내는 이동계수를 구하였다. 개발된 해양구획모델에 대한 계산 예로써 해저에 위치한 가상 처분장으로 부터 방출된 저준위방사성 폐기물의 주요 핵종중 Tc-99 Cs-137 및 Pu-238에 대한 파과곡선을 5개 구획에 대해 구하였다. 또한 핵종농도 파가 곡선에 대한 파라미터의 민감도 분석을 수행한 결과 구획내의 해수체적 및 해수교체시간과 같은 주요 변수들이 파과곡선에 중요한 영향을 줌을 알 수 있었다.

• 한국환경과학회지
• /
• 제16권7호
• /
• pp.785-791
• /
• 2007

The current study evaluated the technical feasibility of the application of titanium dioxide ($TiO_{2}$) photo-catalytic air cleaners for the disinfection of bioaerosols present in indoor air. The evaluation included both laboratory and field tests and the tests of hydraulic diameter (HD) and lamp type (LT). Disinfection efficiency of photocatalytic oxidation (PCO) technique was estimated by survival ratio of bacteria or fungi calculated from the number of viable cells which form colonies on the nutrient agar plates. It was suggested that the reactor coating with $TiO_{2}$ did not enhance the adsorption of bioaerosols, and that the UV irradiation has certain extent of disinfection efficiency. The disinfection efficiency increased as HD decreased, most likely due to the decrease in the light intensity since the distance of the catalyst from the light source increased when increasing the HD. It was further suggested that the mass transfer effects were not as important as the light intensity effects on the PCO disinfection efficiency of bioaerosols. Germicidal lamp was superior to the black lamp for the disinfection of airborne bacteria and fungi, which is supported by the finding that the disinfection efficiencies were higher when the germicidal lamp was used compared to the black lamp in the laboratory test. These findings, combined with operational attributes such as a low pressure drop across the reactor and ambient temperature operation, can make the PCO reactor a possible tool in the effort to improve indoor bioaerosol levels.

• 한국추진공학회지
• /
• 제12권4호
• /
• pp.33-41
• /
• 2008

외부로부터 일정한 열유속을 받으면서 발사대기 중인 액체추진 로켓의 극저온 산화제 탱크 내 열적거동에 대하여 열역학 방정식과 열 및 물질 전달 관계식을 이용하여 수치적으로 해석하였다. 발사대기 단계는 헬륨가스에 의한 가압과정을 포함하여 이상적인 다섯 단계로 구성된다고 하였다. 얼리지 기체영역의 해석에는 Peng-Robinson 상태방정식을 사용하였고, 액체 영역은 열적 성층화를 고려할 수 있도록 균일한 성질을 갖는 여러 개의 수평층으로 나누어 해석하였다. 전형적인 경우에 대한 계산 결과에 의하면 액체산화제의 온도상승은 1K 미만이고 액체에 녹아드는 헬륨의 양은 10g 정도였다.

• Fibers and Polymers
• /
• 제5권4호
• /
• pp.253-258
• /
• 2004

Living nature of photoinduced cationic polymerization of isobutyl vinyl ether (IBVE) in the presence of various combinations of diphenyliodonium halide (DPIX), a photocationic initiator and zinc halide $(ZnX_2)$ in methylene chloride has been investigated. Attainment of $100\%$ conversion and a linear relationship between $\%$conversion and number average molar mass of the resulting polymer, strongly suggests the living nature of this system. Livingness of the polymerization system was observed irrespective to the type of halide anion of the initiator and zinc salts unless the reaction temperature is not higher than $-30^{\circ}C$. The rate of polymerization decreases in the order of iodide > bromide > chloride when halide salt of DPIX and $ZnX_2$ are used. It is postulated that the cationic initiation is started by the insertion of weakly basic monomer in to the activated C-X terminal of the monomer adduct which is a reaction product of monomer and HX, a photolytic product of DPIX, formed in situ during the photo-irradiation process. It was concluded that polymerization is initiated by the insertion of weakly basic monomer into activated C- X terminal of monomer adduct due to the pulling action of$ZnX_2$, which successively producing a new polarized C-X terminal for the propagation in cationic nature. This led us to a conclusion that the living nature of this cationic polymerization is ascribable to the polarized C-X growing terminal, which is stable enough to depress the processes of chain transfer or termination process.

• 한국철도학회:학술대회논문집
• /
• 한국철도학회 2008년도 추계학술대회 논문집
• /
• pp.66-72
• /
• 2008

본 연구에서는 대심도 지하역사에서 화재가 발생할 시 급/배기 팬의 동작 유무에 따른 승강장에서의 열 및 연기의 거시적인 거동을 화재시뮬레이션을 통하여 분석하였다. 시뮬레이션 분석결과를 토대로 현재 설치된 급/배기 팬에 대한 제연/배연능력에 대하여 고찰하였다. 본 연구의 대상은 숭실대 입구 역사(7호선, 도시철도공사운영)이며, 숭실대 역사의 승강장은 길이 165m, 폭 23.5m, 깊이 47m 이다. 본 연구에서 전산수치해석을 위한 모델은 선로부 지하터널를 감안하여 전후 각 100m를 추가하였다. 따라서 모델링의 크기는 길이 365m, 폭23.5m, 깊이 47m 이다. 격자는 육면체 정렬격자계를 사용하였으며, 격자의 수는 대략 10,000,000 개가 사용되었다. 빠른 수치전산처리를 위하여, 병렬처리기법을 적용하였다. 본 전산수치해석에 사용된 CPU자원에 Intel 3.0GHZ Dual CPU 6개(core 12개)가 사용되었다.

• Design & Manufacturing
• /
• 제13권2호
• /
• pp.37-43
• /
• 2019

This study conducted a research as to condensation heat transfer friction loss headby using three types of flat micro multi-channel tubes with different processing of micro-fin and number of channels inside the pipes and different sizes of appearances. In addition, identical studies were conducted by using smoothing circular tubes with 5mm external diameter to study heat enhancement factor and pressure drop penalty factor. 1) The friction head loss showed an increase as the vapor quality and mass flux increased. In case of saturation temperature, it shows an increase as it gets lower. These factors are the reason occurring as the lower the saturation temperature is, the higher the density of refrigerant vapor gets. The influence of heat flux is similar as the dryness is low, but as it gets higher, it lowers in heat flux, and as the high temperature of high heat flux, it is a factor that occurs as the density gets lower. 2) RMS error of the in case of friction head loss, it showed to be predicted as 0.45~0.67 by Chisholm, Friedel, Lockhart and Martinelli. 3) As forfriction head loss penalty factor, the smaller the aspect ratio is, the larger the penalty factor gets, and as for the effect of micro-fin, the penalty factor increased because it decreases to the gas fluid the way groove for the refrigerant's flow.

• 유기물자원화
• /
• 제27권3호
• /
• pp.75-80
• /
• 2019

본 연구는 난류로 흐르는 물에서 미세먼지 전구체 중 하나인 암모니아가 흡수되는 거동을 해석하였다. 물의 흐름이 층류보다 난류인 조건에서 암모니아의 침투 깊이가 더 깊으므로 레이놀즈 수가 $10^4$보다 큰 난류 조건이 고려된다. 거동 해석을 위하여, 무차원 물질전달 지배방정식과 상온 기준의 일정한 물성치들이 사용되었다. 물에서의 암모니아 확산계수와 물의 동점도계수는 각각 $2.45{\times}10^{-9}m^2/s$와 $1{\times}10^{-6}m^2/s$이었다. 물에서의 암모니아 농도 분포는 암모니아에 노출되기 시작하는 지점으로부터의 위치에 대하여 산출되었다. 혼합 깊이에 따른 정량적인 분포 또한 도출되었다. 이와 같은 정량적인 해석은 난류로 흐르는 물이 층류로 흐르는 것과 비교하여 얼마나 더욱 효율적으로 암모니아를 제거할 수 있는지에 대한 통찰력을 제시할 수 있다.

• 한국안전학회지
• /
• 제35권6호
• /
• pp.32-45
• /
• 2020

The problem of determining the discharge rates of gases from pressurized vessels through pressure relief devices was dealt with comprehensively. First, starting from basic fluid flow equations, detailed modeling procedures were presented for isentropic nozzle flows and frictional flows in a pipe, respectively. Meanwhile, physical explanations were given to choking phenomena in terms of the acoustic velocity, elucidating the widespread use of Mach numbers in gas flow models. Frictional flows in a pipe were classified into adiabatic, isothermal, and general flows according to the heat transfer situation around the pipe, but the adiabatic flow model was recommended suitable for gas discharge through pressure relief devices. Next, for the isentropic nozzle flow followed by adiabatic frictional flow in the pipe, two equations were established for two unknowns that consist of the Mach numbers at the inlet and outlet of the pipe, respectively. The relationship among the ratio of downstream reservoir pressure to upstream pressure, mass flux, and total frictional loss coefficient was shown in various forms of MATLAB 2-D plot, 3-D surface plot and contour plot. Then, the profiles of gas properties and velocity in the pipe section were traced. A method to quantify the relationship among the pressure head, velocity head, and total friction loss was presented, and was used in inferring that the rapid increase in gas velocity in the region approaching the choked flow at the pipe outlet is attributed to the conversion of internal energy to kinetic energy. Finally, the Levenspiel chart reproduced in this work was compared with the Lapple chart used in API 521 Standatd.