• Title/Summary/Keyword: fluid and flow

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ON THE SUFFICIENT CONDITION FOR THE LINEARIZED APPROXIMATION OF THE B$\"{E}$NARD CONVECTION PROBLEM

  • Song, Jong-Chul;Jeon, Chang-Ho
    • Bulletin of the Korean Mathematical Society
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    • v.29 no.1
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    • pp.125-135
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    • 1992
  • In various viscus flow problems it has been the custom to replace the convective derivative by the ordinary partial derivative in problems for which the data are small. In this paper we consider the Benard Convection problem with small data and compare the solution of this problem (assumed to exist) with that of the linearized system resulting from dropping the nonlinear terms in the expression for the convective derivative. The objective of the present work is to derive an estimate for the error introduced in neglecting the convective inertia terms. In fact, we derive an explicit bound for the L$_{2}$ error. Indeed, if the initial data are O(.epsilon.) where .epsilon. << 1, and the Rayleigh number is sufficiently small, we show that this error is bounded by the product of a term of O(.epsilon.$^{2}$) times a decaying exponential in time. The results of the present paper then give a justification for linearizing the Benard Convection problem. We remark that although our results are derived for classical solutions, extensions to appropriately defined weak solutions are obvious. Throughout this paper we will make use of a comma to denote partial differentiation and adopt the summation convention of summing over repeated indices (in a term of an expression) from one to three. As reference to work of continuous dependence on modelling and initial data, we mention the papers of Payne and Sather [8], Ames [2] Adelson [1], Bennett [3], Payne et al. [9], and Song [11,12,13,14]. Also, a similar analysis of a micropolar fluid problem backward in time (an ill-posed problem) was given by Payne and Straughan [10] and Payne [7].

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NUMERICAL STUDY OF TURBINE BLADE COOLING TECHNIQUES (터빈 블레이드 냉각시스템에 관한 수치해석적 연구)

  • Kim, K.Y.;Lee, K.D.;Moon, M.A.;Heo, M.W.;Kim, H.M.;Kim, J.H.;Husain, A.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.530-533
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    • 2010
  • This paper presents numerical analysis and design optimization of various turbine blade cooling techniques with three-dimensional Reynolds-averaged Navier-Stokes(RANS) analysis. The fluid flow and heat transfer have been performed using ANSYS-CFX 11.0. A fan-shaped hole for film-cooling has been carried out to improve film-cooling effectiveness with the radial basis neural network method. The injection angle of hole, lateral expansion angle of hole and ratio of length-to-diameter of the hole are chosen as design variables and spatially averaged film-cooling effectiveness is considered as an objective function which is to be maximized. The impingement jet cooling has been performed to investigate heat transfer characteristic with geometry variables. Distance between jet nozzle exit and impingement plate, inclination of nozzle and aspect ratio of nozzle hole are considered as geometry variables. The area averaged Nusselt number is evaluated each geometry variables. A rotating rectangular channel with staggered array pin-fins has been investigated to increase heat transfer performance ad to decrease friction loss using KRG modeling. Two non-dimensional variables, the ratio of the eight diameter of the pin-fins and ratio of the spacing between the pin-fins to diameter of the pin-fins selected as design variables. A rotating rectangular channel with staggered dimples on opposite walls are formulated numerically to enhance heat transfer performance. The ratio of the dimple depth and dimple diameter are selected as geometry variables.

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Finite Element Analysis of Powder Injection Molding Filling Process Including Yield Stress and Slip Phenomena (항복응력과 미끄럼현상을 고려한 분말사출성형 충전공정의 유한요소해석)

  • 박주배;권태헌
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1465-1477
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    • 1993
  • Powder Injection Molding(PM) is an advanced and complicated technology for manufacturing ceramic or metal products making use of a conventional injection molding process, which is generally used for plastic products. Among many technologies involved in the successful PIM, injection molding process is one of the key steps to form a desired shape out of powder/binder mixtures. Thus, it is of great importance to have a numerical tool to predict the powder injection molding filling process. In this regard, a finite element analysis system has been developed for numerical simulations of filling process of powder injection molding. Powder/polymer mixtures during the filling pro cess of injection molding can be rheologically characterized as Non-Newtonian fluids with a so called yield phenomena and have a peculiar feature of apparent slip phenomena on the wall boundaries surrounding mold cavity. Therefore, in the present study, a physical modeling of the filling process of powder/polymer mixtures was developed to take into account both the yield stress and slip phenomena and a finite element formulation was developed accordingly. The numerical analysis scheme for filling simulation is accomplished by combining a finite element method with control volume technique to simulate the movement of flow front and a finite difference method to calculate the temperature distribution. The present study presents the modeling, numerical scheme and some numerical analysis results showing the effect of the yield stress and slip phenomena.

A Study on Dynamic Characteristics of Hydraulic Motor Brake System with Counter Balance Valve (카운터 밸런스 밸브를 내장한 유압 모터 브레이크 시스템의 동특성)

  • Yun, So-Nam;Lee, Ill-Yeong
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.29 no.3
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    • pp.214-219
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    • 1993
  • Counter balance valve is used as one part of hydraulic motor brake system. The function of this valve is to protect over-run or free falling of inertia load. But occasionally the brake system with counter balance valve makes some undesirable problems such as pressure surges or vibrations. These problems may hurt system safety and driver's conformability. Nevertheless, studies on dynamic characteristics of hydraulic system including counter balance valve are very rare, so further accumulation of research results are required. In this study, for the purpose of easy estimation about dynamic characteristics of hydraulic system including counter balance valve, precise formulation describing fluid dynamics and valve dynamics under various boundary conditions were made. The equations obtained in the preceding process include some parameters that must be got experimentally. Flow coefficients of valve and choke are the most significant ones among the parameters. So these parameters are obtained experimentally in this study, and experimental equations obtained from the experimental data were used for numerical calculation. The equations were analysed by numerical integration using Runge-Kutta method, because the equations contain various nonlinear terms. From the numerical analysis, it was verified that the dynamic response of counter balance valve and pressure variation at each elements can be estimated very easily. So the analysing method developed in this study enabled very easy estimating the relation between the performances of counter balance valve and various physical parameters related to the valve. Conclusively, it is said that the results obtained in this study can be used very usefully to develop a new type counter balance valve or to apply the valve to actual hydraulic system for various industrial equipments.

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A Case of Group A Streptococcal Pneumonia with Empyema and Pericardial Effusion (폐농양과 심막삼출이 동반된 A군 연구균에 의한 폐렴 1례)

  • Chun, Yoon Hong;Lee, Soo Yong;Choi, Sang Lim;Jeong, Dae Chul;Chung, Seung Yeon;Kang, Jin Han
    • Pediatric Infection and Vaccine
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    • v.11 no.2
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    • pp.202-207
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    • 2004
  • Group A streptococcus, also known as Streptococcus pyogenes, is a common bacterial pathogens of the upper respiratory tract and skin infections in children, but this organism is a less common cause of pneumonia, pericarditis. However, pneumonia that is caused by Streptococcus pyogenes, may be rapidly progressive course with developing severe consequences. It may be focal but often is bilateral and diffuse involvement of lung. Empyema is commonly developed, and pleurocentesis often yields thin, watery fluid that continues to flow out when a chest tube is inserted. Antimicrobial resistance to the ${\beta}$-lactam antibiotics has not been reported against group A streptococci, whereas increasing resistance to the macrolides seems to be directly related to the consumption of specific antimicrobial agent use in the community. Clindamycin resistance is uncommon but does occur. We experienced one case of group A streptoccoccal pneumonia with empyema and pericardial effusion, and treated successfully with amoxicillin-clavulanate, clindamycin and roxithromycin.

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Evaluation of Observation Environment for Weather Stations Located in Metropolitan Areas (GIS 자료를 활용한 대도시 지역 기상관측소 관측환경 평가)

  • Yang, Ho-Jin;Kim, Jae-Jin
    • Korean Journal of Remote Sensing
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    • v.31 no.2
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    • pp.193-203
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    • 2015
  • In this study, effects of buildings and topography on observation environment of weather stations located on mountainous terrain in metropolitan areas are investigated using a computational fluid dynamics (CFD) model. In order to investigate the characteristics of flow pattern around the weather stations, geographic information system (GIS) data are used to construct surface boundary input data of the CFD model. In order to evaluate effects of buildings and topography on wind speed and direction at three weather stations located in Deajeon, Busan, and Gwangju., target areas around the weather stations are selected and 16 cases with different inflow directions for each target area are considered. The simulated wind speed and direction at the weather stations are compared with those of inflow. As a whole, wind speed at the weather stations decreases due to drag effects of the buildings and topography in the upwind regions. This study shows that GIS data and the CFD model are successfully applicable to evaluation of observation environment for weather stations.

Multiple Regression Analysis for Piercing Punch Profile Optimization to Prevent Tearing During Tee Pipe Burring (다중 회귀 분석을 활용한 Tee-Pipe 버링 공정에서 찢어짐 방지를 위한 피어싱 펀치 형상 최적 설계)

  • Lee, Y.S.;Kim, J.Y.;Kang, J.S.;Hong, S.
    • Transactions of Materials Processing
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    • v.26 no.5
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    • pp.271-276
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    • 2017
  • A tee is the most common pipefitting used to combine or divide fluid flow. Tees can connect pipes of different diameters or change the direction of a pipe run. To manufacture tee type of stainless steel pipe, combinations of punch piercing and burr forming have been widely used in the industry. However, such method is considerably time consuming with regard to performing empirical work necessary to attain process conditions to prevent upper end tearing of the tee product and meet target tee height. Numerous experiments have shown that the piercing profile is the main cause of defects mentioned above. Furthermore, the mold design is formed through trial and error according to pipe diameters and changes in requirements. Thus, the objective of this study was to perform piercing and burring process analysis via finite element analysis using DYNAFORM to resolve problems mentioned above. An optimization design method was used to determine the piercing punch profile. Three radii of the piercing punch (i.e., large, small, and joined radii) were selected as design variables to minimize thinning of a tee pipe. Based on results of correlation and multiple regression analyses, we developed a predictive approximation model to satisfy requirements for both thickness reduction and target height. The new piercing punch profile was then applied to actual tee forming using the developed prediction equation. Model results were found to be in good agreement with experimental results.

Literature Investigation of Jejo (제조에 대한 문헌고찰(文獻考察))

  • Cho, Nam-Kyung;Kim, Jong-Dug
    • Journal of Sasang Constitutional Medicine
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    • v.19 no.2
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    • pp.11-21
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    • 2007
  • 1. Objectives The object of this thesis is to find the basis on why Jejo was assigned as a Taeumin medicine, and to understand Taeumin edema. 2. Methods ${\ulcorner}$Dongyisusebowon${\lrcorner}$ 'Shinchukbon', 'Gabobon', 'Chobonkwun', other related Sasang Constitutional Medicine(SCM) books, herbal medicine books such as ${\ulcorner}$Bonchokangmok${\lrcorner}$, and etc. were compared and researched. 3. Results & Conclusions (1) In Sasang Constitutional Medicine, edema is seen as a critical condition. The first cause of edema in Taeumin is fatigue, a condition where the flow of Qi and Fluid Qi is stagnated. Secondly, edema is caused as Taeeumin is mentally stressed(勞心焦思) and he/she is unable to accomplish his/her plans over many trials or as when they find pleasure in striving for greed. When Lungs which is Incline & Small Viscera(偏小之臟) in Taeumin decreases, it diminishes Real Count of Longevity(命脈實數) which leads to edema formation. (2) Perspective of Human Nature & Character(心性學) and Regimen(養生法) became included gradually in the treatment methods and prescription of edema in Taeumin as ${\ulcorner}$Dongyisusebowon${\lrcorner}$ was revised over time. The revisions also lead to more diversity in prescriptions. (3) Jejo didn't appear In ${\ulcorner}$Dongyisusebowon${\lrcorner}$ 'Chobonkwun' and 'Gabobon'. It was first presented in 'Shinchukbon' as a medicine to treat edema in Taeumin. (4) Jejo have effects of easing clumps. Also it has a strong radiating ability(發散力) which induces perspiration to treat diseases. Finally Jejo is used to remove Takki(濁氣) by utilizing powerful Exhale Gathering Qi contained in it.

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Simulation of Water Flows in Multiple Columns with Small Outlets

  • Suh Yong-Kweon;Li Zi Lu;Jeong Jong-Hyun;Lee Jun-Hee
    • Journal of Mechanical Science and Technology
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    • v.20 no.10
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    • pp.1765-1772
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    • 2006
  • High-pressure die casting such as thixocasting and rheocasting is an effective process in the manufacturing automotive parts. Following the recent trend in the automotive manufacturing technologies, the product design subject to the die casting becomes more and more complex. Simultaneously the injection speed is also designed to be very high to establish a short cycletime. Thus, the requirement of the die design becomes more demanding than ever before. In some cases the product's shape can have multiple slender manifolds. In such cases, design of the inlet and outlet parts of the die is very important in the whole manufacturing process. The main issues required for the qualified products are to attain gentle and uniform flow of the molten liquid within the passages of the die. To satisfy such issues, the inlet cylinder ('bed cylinder' in this paper) must be as large as possible and simultaneously the outlet opening at the end of each passage must be as small as possible. However these in turn obviously bring additional manufacturing costs caused by re-melting of the bed cylinder and increased power due to the small outlet-openings. The purpose of this paper is to develop effective simulation methods of calculation for fluid flows in multiple columns, which mimic the actual complex design, and to get some useful information which can give some contributions to the die-casting industry. We have used a commercial code CFX in the numerical simulation. The primary parameter involved is the size of the bed cylinder. We will show how the very small opening of the outlet can be treated with the aid of the porous model provided in the code. To check the validity of the numerical results we have also conducted a simple experiment by using water.

Necessary Conditions for Optimal Ventilation of Small Negative Pressure Ventilating Piglet House with Corridor and Attic for Preheating (소규모 복도-더그매 예열 음압환기방식 무창자돈사의 최적 환기 요건에 관한 연구)

  • Lee, Seung-Joo;Chang, Dong-Il;Hwang, Seon-Ho;Gutierrez, Winson M.;Chang, Hong-Hee
    • Journal of Biosystems Engineering
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    • v.35 no.6
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    • pp.434-442
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    • 2010
  • This study was carried out to determine necessary conditions for optimal ventilation of small windowless piglet house (4.0 (W) $\times$ 11.0 (L) $\times$ 2.6(H) m) with corridor and attic for preheating using CFD (Computational Fluid Dynamics) simulation. The experimental weaning piglet house was consisted of a corridor, an attic, 4 rooms (3.0 (W) $\times$ 2.75(L) m), 3 fences (0.7(H) m), 5 air inlets and 2 exhaust fans (0.4 (D) m) and simulated using CFD code, FLUENT. The simulation results for the experimental weaning piglet house showed that each room was uniformly ventilated under all the experimental conditions and air velocities at 0.1 m above floor are less than 0.15 m/s for 0.75 m/s and 1.0 m/s of air inlet velocity but 0.61 m/s for 1.25 m/s. The simulation results are similar to the measured results. Considering the air flow pattern, ventilating efficiency, air velocity at 0.1 m above floor and cold stress of weaning piglets and so on, the optimum velocity of air inlet might be 1.0 m/s.