• Title/Summary/Keyword: Temperature gradient model

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Thermo-Mechanical Interaction of Flip Chip Package Constituents (플립칩 패키지 구성 요소의 열-기계적 특성 평가)

  • 박주혁;정재동
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.10
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    • pp.183-190
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    • 2003
  • Major device failures such as die cracking, interfacial delamination and warpage in flip chip packages are due to excessive heat and thermal gradients- There have been significant researches toward understanding the thermal performance of electronic packages, but the majority of these studies do not take into account the combined effects of thermo-mechanical interactions of the different package constituents. This paper investigates the thermo-mechanical performance of flip chip package constituents based on the finite element method with thermo-mechanically coupled elements. Delaminations with different lengths between the silicon die and underfill resin interfaces were introduced to simulate the defects induced during the assembly processes. The temperature gradient fields and the corresponding stress distributions were analyzed and the results were compared with isothermal case. Parametric studies have been conducted with varying thermal conductivities of the package components, substrate board configurations. Compared with the uniform temperature distribution model, the model considering the temperature gradients provided more accurate stress profiles in the solder interconnections and underfill fillet. The packages with prescribed delaminations resulted in significant changes in stress in the solder. From the parametric study, the coefficients of thermal expansion and the package configurations played significant roles in determining the stress level over the entire package, although they showed little influence on stresses profile within the individual components. These observations have been implemented to the multi-board layer chip scale packages (CSP), and its results are discussed.

Optimal Layout Design of Frequency- and Temperature-dependent Viscoelastic Materials for Maximum Loss Factor of Constrained-Layer Damping Beam (점탄성 물질의 온도와 주파수 의존성을 고려한 구속형 제진보의 최대 손실계수 설계)

  • Lee, Doo-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.2
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    • pp.185-191
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    • 2008
  • Optimal damping layout of the constrained viscoelastic damping layer on beam is identified with temperatures by using a gradient-based numerical search algorithm. An optimal design problem is defined in order to determine the constrained damping layer configuration. A finite element formulation is introduced to model the constrained layer damping beam. The four-parameter fractional derivative model and the Arrhenius shift factor are used to describe dynamic characteristics of viscoelastic material with respect to frequency and temperature. Frequency-dependent complex-valued eigenvalue problems are solved by using a simple re-substitution algorithm in order to obtain the loss factor of each mode and responses of the structure. The results of the numerical example show that the proposed method can reduce frequency responses of beam at peaks only by reconfiguring the layout of constrained damping layer within a limited weight constraint.

Redistribution of Vacancy Concentration in Metal Specimens under Stress-induced Diffusion at a High Temperature (고온 환경하 응력 확산에 의한 금속시편내 격자결함 재분포)

  • Yoon, Seon-Jhin;Cho, Yong-Moo
    • Design & Manufacturing
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    • v.12 no.1
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    • pp.1-6
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    • 2018
  • In this study, we calculated the redistribution of vacancy concentration in metal specimens induced by stress-induced diffusion at a high temperature. To deduce the governing equation, we associated the unit volume change equation of strains with a differential equation of vacancy concentration as a function of stress using the stress-strain relationship. In this governing equation, we considered stress as the only chemical potential parameter to stay in the scope of this study, which provided the vacancy concentration equation as of stress gradient in metals. The equation was then mathematically delineated to derive a analytical solution for a transient, one-dimensional diffusion case. With the help of Korhonen's approximation and the boundary conditions, we successfully deduced a general solution from the governing equation. To visualize the feasibility of our solutions, we applied the solution to two different stress-induced cases - a rod with fixed concentrated stresses at both ends and a rod with varying concentrated stresses at both ends. Although it is necessary to legitimatized the model in the future for improvement, our results showed that the model can be used to interpret the location of structural defects, the formation of vacancy, and furthermore the high temperature behavior of metals.

Fire Loading Analysis of Underground Box Structure with Considering of Concrete Spalling I : Spalling Analysis (박리를 고려한 지하박스구조물의 화재하중해석 I : 박리해석)

  • Lee, Gye-Hee;Choi, Ik-Chang
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.4
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    • pp.477-483
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    • 2007
  • In this study, the numerical fire analysis for temperature distribution and spalling behavior of underground concrete box structures that contained lifelines, such as power cables and communication cables. The temperature field of inner space was assumed based on the fire curve with the thermal gradient obtained from CFD analysis. It was assumed that the spalling behaviors of concrete are occurred when the concrete temperature reached the threshold, as dehydration degree. In this case, the elements correspond to spalling parts were removed and the analysis model were updated. Three fire scenarios were analyzed and the results were showed adequate spalling behavior. The bearing capacities of the box structures would be estimated in the companion paper.

Effect of input variable characteristics on the performance of an ensemble machine learning model for algal bloom prediction (앙상블 머신러닝 모형을 이용한 하천 녹조발생 예측모형의 입력변수 특성에 따른 성능 영향)

  • Kang, Byeong-Koo;Park, Jungsu
    • Journal of Korean Society of Water and Wastewater
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    • v.35 no.6
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    • pp.417-424
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    • 2021
  • Algal bloom is an ongoing issue in the management of freshwater systems for drinking water supply, and the chlorophyll-a concentration is commonly used to represent the status of algal bloom. Thus, the prediction of chlorophyll-a concentration is essential for the proper management of water quality. However, the chlorophyll-a concentration is affected by various water quality and environmental factors, so the prediction of its concentration is not an easy task. In recent years, many advanced machine learning algorithms have increasingly been used for the development of surrogate models to prediction the chlorophyll-a concentration in freshwater systems such as rivers or reservoirs. This study used a light gradient boosting machine(LightGBM), a gradient boosting decision tree algorithm, to develop an ensemble machine learning model to predict chlorophyll-a concentration. The field water quality data observed at Daecheong Lake, obtained from the real-time water information system in Korea, were used for the development of the model. The data include temperature, pH, electric conductivity, dissolved oxygen, total organic carbon, total nitrogen, total phosphorus, and chlorophyll-a. First, a LightGBM model was developed to predict the chlorophyll-a concentration by using the other seven items as independent input variables. Second, the time-lagged values of all the input variables were added as input variables to understand the effect of time lag of input variables on model performance. The time lag (i) ranges from 1 to 50 days. The model performance was evaluated using three indices, root mean squared error-observation standard deviation ration (RSR), Nash-Sutcliffe coefficient of efficiency (NSE) and mean absolute error (MAE). The model showed the best performance by adding a dataset with a one-day time lag (i=1) where RSR, NSE, and MAE were 0.359, 0.871 and 1.510, respectively. The improvement of model performance was observed when a dataset with a time lag up of about 15 days (i=15) was added.

Estimation of Onion Leaf Appearance by Beta Distribution (Beta 함수 기반 기온에 따른 양파의 잎 수 증가 예측)

  • Lee, Seong Eun;Moon, Kyung Hwan;Shin, Min Ji;Kim, Byeong Hyeok
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.24 no.2
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    • pp.78-82
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    • 2022
  • Phenology determines the timing of crop development, and the timing of phenological events is strongly influenced by the temperature during the growing season. In process-based model, leaf area is simulated dynamically by coupling of morphology and phenology module. Therefore, the prediction of leaf appearance rate and final leaf number affects the performance of whole crop model. The dataset for the model equation was collected from SPA R chambers with five different temperature treatments. Beta distribution function (proposed by Yan and Hunt (1999)) was used for describing the leaf appearance rate as a function of temperature. The optimum temperature and the critical value were estimated to be 26.0℃ and 35.3℃, respectively. For evaluation of the model, the accumulated number of onion leaves observed in a temperature gradient chamber was compared with model estimates. The model estimate is the result of accumulating the daily increase in the number of onion leaves obtained by inputting the daily mean temperature during the growing season into the temperature model. In this study, the coefficient of determination (R2) and RMSE value of the model were 0.95 and 0.89, respectively.

Vertical Structure of the Coastal Atmospheric Boundary Layer Based on Terra/MODIS Data (Terra/MODIS 자료를 이용한 연안 대기경계층의 연직구조)

  • Kim, Dong Su;Kwon, Byung Hyuk
    • Atmosphere
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    • v.17 no.3
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    • pp.281-289
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    • 2007
  • Micrometeorlogical and upper air observation have been conducted in order to determine the atmospheric boundary layer depth based on data from satellite and automatic weather systems. Terra/MODIS temperature profiles and sensible heat fluxes from the gradient method were used to estimate the mixed layer height over a coastal region. Results of the integral model were in good agreement with the mixed layer height observed using GPS radiosonde at Wolsung ($35.72^{\circ}N$, $129.48^{\circ}E$). Since the variation of the mixed layer height depends on the surface sensible heat flux, the integral model estimated properly the mixed layer height in the daytime. The buoyant heat flux, which is more important than the sensible heat flux in the coastal region, must be taken into consideration to improve the integral model. The vertical structure of atmospheric boundary layer can be analyzed only with the routine data and the satellite data.

Application of a Simple Buoyancy Adjustment Model to the Japan Sea

  • SEUNG Young-Ho
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.21 no.6
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    • pp.311-322
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    • 1988
  • Application of the simple buoyancy adjustment model, similar to Davey's (1983), indicates that buoyancies imposed locally or from outside of the basin are the major factor of the Japan Sea circulation. Within the context of the model considered, the relatively strong SW gradient of temperature, and corresponding western boundary current, in the SW region is due to the beta-effect. Kelvin waves make the western side colder and the eastern side warmer. Buoyancy input (presumably by fresh water discharge) in the NW region, so far neglected, plays an important role in strengthening the NKCC (North Korea Cold Current) and suppressing the EKWC (East Korea Warm Current) thereby breaking the conventional branching system of the Tsushima Warm Current.

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Prediction of Combined Forced and Natural Turbulent Convection in a Vertical Plane Channel with an Elliptic-Blending Second Moment Closure (타원-혼합 2차모멘트 모형에 의한 강제와 자연대류가 복합된 수직 평판 난류유동의 예측)

  • Shin, Jong Keun;An, Jeong Soo;Choi, Young Don
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.11 s.242
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    • pp.1265-1276
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    • 2005
  • The elliptic conceptual second moment models for turbulent heat fluxes, which are proposed on the basis of elliptic-blending and elliptic-relaxation equations, are applied to calculate the combined forced and natural turbulent convection in a vertical plane channel. The models satisfy the near-wall balance between viscous diffusion, viscous dissipation and temperature-pressure gradient correlation, and also have the characteristics of approaching its respective conventional high Reynolds number model far away from the wall. Also the models are closely linked to the elliptic blending model which is used for the prediction of Reynolds stress. In order to calibrate the heat flux models, firstly, the distributions of mean temperature and scala flux in fully developed channel flow with constant wall difference temperature are solved by the present models. The buoyancy effect on the turbulent characteristics including the mean velocity and temperature, the Reynolds stress tensor, and the turbulent heat flux vector are examined. In the opposing flow, the turbulent transport is greatly enhanced with both the Reynolds stresses and the turbulent heat fluxes being remarkably increased; whereas, in the aiding flow, the opposite change is observed. The results of prediction are directly compared to the DNS to assess the performance of the model predictions and show that the behaviors of the turbulent heat transfer in the whole flow region are well captured by the present models.

The Effect of Flow Distribution on Transient Thermal Behaviour of CDPF during Regeneration (배기의 유속분포가 CDPF의 재생 시 비정상적 열적 거동에 미치는 영향)

  • Jeong, Soo-Jin;Lee, Jeom-Joo;Choi, Chang-Ho
    • Transactions of the Korean Society of Automotive Engineers
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    • v.17 no.2
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    • pp.10-19
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    • 2009
  • The working of diesel particulate filters(DPF) needs to periodically burn soot that has been accumulated during loading of the DPF. The prediction of the relation between an uniformity of gas velocity and soot regeneration efficiency with simulations helps to make design decisions and to shorten the development process. This work presents a comprehensive combined 'DOC+CDPF' model approach. All relevant behaviors of flow fluid are studied in a 3D model. The obtained flow fields in the front of DPF is used for 1D simulation for the prediction of the thermal behavior and regeneration efficiency of CDPF. Validation of the present simulation are performed for the axial and radial direction temperature profile and shows goods agreement with experimental data. The coupled simulation of 3D and 1D shows their impact on the overall regeneration efficiency. It is found that the flow non-uniformity may cause severe radial temperature gradient, resulting in degrading regeneration efficiency.