• Title/Summary/Keyword: Nonlinear conductivity model

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The simultaneous measurement for thermal properties of liquids using transient probe method (과도탐침법을 이용한 액체의 열물성 동시측정)

  • Bae, Sin-Cheol;Kim, Myeong-Yun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.2
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    • pp.303-315
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    • 1997
  • The theoretical model for the transient probe method is the modified Jaeger model which is used perfect line source theory. The transient probe technique has been developed for the simultaneous determination of thermal conductivity, diffusivity and volumetric heat capacity of liquids. The Levenberg-Marquardt iteration method is adapted to obtain thermal property within nonlinear range. Experimental results of liquids were found to agree well with recommended thermal property data.

Numerical analysis of vertical drains accelerated consolidation considering combined soil disturbance and visco-plastic behaviour

  • Azari, Babak;Fatahi, Behzad;Khabbaz, Hadi
    • Geomechanics and Engineering
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    • v.8 no.2
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    • pp.187-220
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    • 2015
  • Soil disturbance induced by installation of mandrel driven vertical drains decreases the in situ horizontal hydraulic conductivity of the soil in the vicinity of the drains, decelerating the consolidation rate. According to available literature, several different profiles for the hydraulic conductivity variation with the radial distance from the vertical drain, influencing the excess pore water pressure dissipation rate, have been identified. In addition, it is well known that the visco-plastic properties of the soil also influence the excess pore water pressure dissipation rate and consequently the settlement rate. In this study, a numerical solution adopting an elastic visco-plastic model with nonlinear creep function incorporated in the consolidation equations has been developed to investigate the effects of disturbed zone properties on the time dependent behaviour of soft soil deposits improved with vertical drains and preloading. The employed elastic visco-plastic model is based on the framework of the modified Cam-Clay model capturing soil creep during excess pore water pressure dissipation. Besides, nonlinear variations of creep coefficient with stress and time and permeability variations during the consolidation process are considered. The predicted results have been compared with V$\ddot{a}$sby test fill measurements. According to the results, different variations of the hydraulic conductivity profile in the disturbed zone result in varying excess pore water pressure dissipation rate and consequently varying the effective vertical stresses in the soil profile. Thus, the creep coefficient and the creep strain limit are notably influenced resulting in significant changes in the predicted settlement rate.

A New Structural Model for Predicting Effective Thermal Conductivity of Variably Saturated Porous Materials (포화도에 따른 다공성 매질의 유효열전도도 변화 예측 모델)

  • Cha, Jang-Hwan;Koo, Min-Ho;Keehm, Young-Seuk
    • Journal of the Korean earth science society
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    • v.32 no.6
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    • pp.629-639
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    • 2011
  • Based on Maxwell-Eucken(ME) model, which is one of structural models, a new model for predicting the effective thermal conductivity of variably saturated porous materials is proposed. The new model is a linear combination of three ME models having matrix, water, and air as a continuous phase. The coefficient of the corresponding linear equation is defined by a parameter referred to as 'the continuity coefficient', which provides a relative degree of continuity of each phase. The continuity coefficient of matrix is assumed to be linearly proportional to porosity. The model can be linear or nonlinear depending on how the continuity coefficients of water and air vary with water saturation. The feasibility of the proposed model was examined by both numerical and experimental results. Both linear and nonlinear models showed a high accuracy of prediction with $R^2$ values of 0.86-0.98 and 0.88-0.99, respectively. The numerical and experimental results also showed that the continuity coefficient of matrix was linearly proportional to porosity. Therefore, the proposed prediction model can be effectively used to estimate effective thermal conductivity of unsaturated porous materials by measuring porosity, water content and mineralogical compositions of matrix.

Prediction of Membrane Water Content Characteristics through Dynamic Nonlinear Model (비선형 동특성 모델을 통한 전해막 습증기 함유도 특성 예측)

  • LEE, CHANHEE;KIM, YOUNGHYEON;YU, SANGSEOK
    • Transactions of the Korean hydrogen and new energy society
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    • v.32 no.6
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    • pp.497-505
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    • 2021
  • Water management is essential to improve the performance of proton exchange membrane fuel cells. This study targets to understand the characteristics of water concentration in proton exchange membrane fuel cells at a dynamic load variable environment. The fuel cell model was developed to simulate nonlinear water transport in membrane by the MATLAB/Simulink® (MathWorks, Natick, MA, USA) platform, and it calculates water content in membrane, ionic conductivity, and predicts fuel cell performance through one-dimensional analysis.

Numerical Investigation of Flowing Process for Regenerative Beat Exchanger of a Gas Turbine Engine (가스터빈 리제너레이토 내부유동에 관한 수치해석적 연구)

  • Kim Soo Yong;Kovalevsky Valeri P;Goldenberg Victor
    • Journal of the Korean Society of Propulsion Engineers
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    • v.8 no.4
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    • pp.109-121
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    • 2004
  • A distributed nonlinear mathematical model for investigation of regenerative heat exchangers of both a continuous and periodic operation is described in the paper. The non-iterative numerical integration scheme for conjugate unsteady heat exchange problem of one dimensional flows and two dimensional matrix wall conductivity is developed. Case study of a regenerative heat exchanger with a rotary ceramic matrix is presented. The range of optimum rotation rates of the regenerator providing the greatest calorific efficiency is determined.

A Study on Numerical Analysis of the AC Loss in a Single-layer Superconducting Cable Sample (단층 초전도케이블 샘플에서 교류손실의 수치해석에 대한 연구)

  • Li, Zhu-Yong;Ma, Yong-Hu;Ryu, Kyung-Woo;Hwang, Si-Dole
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.22 no.7
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    • pp.606-611
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    • 2009
  • AC loss is one of the important factors for commercialization of a high temperature superconducting (HTS) cable from an economic point of view. But AC loss characteristics of the HTS-cable are not elucidated completely because of its complex structure. As an earlier stage of analyzing the AC loss in the 22.9 kV/50 MVA, 100m HTS-cable system of Korea Electric Power Corporation (KEPCO) which is now in collaboration with us, a two-dimensional (2D) numerical model, which takes into account the nonlinear conductivity properties of a high temperature superconductor, has been developed. In order to examine our 2D model, we have prepared several single-layer cable samples whose AC losses are sufficiently reliable due to their simple structure. The AC losses of the samples were experimentally investigated and then compared with our 2D model. The results show that the numerically calculated AC losses are not in good agreement with the measured ones for the cylindrical cable and deca-cable samples with low critical current density. However, the numerically calculated and measured AC losses are relatively in good agreement for the deca-cable and hex-cable samples with high critical current density, although the difference between these two loss data in the deca-cable sample tends to increase in the low current region.

A study on estimating the interlayer boundary of the subsurface using a artificial neural network with electrical impedance tomography

  • Sharma, Sunam Kumar;Khambampati, Anil Kumar;Kim, Kyung Youn
    • Journal of IKEEE
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    • v.25 no.4
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    • pp.650-663
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    • 2021
  • Subsurface topology estimation is an important factor in the geophysical survey. Electrical impedance tomography is one of the popular methods used for subsurface imaging. The EIT inverse problem is highly nonlinear and ill-posed; therefore, reconstructed conductivity distribution suffers from low spatial resolution. The subsurface region can be approximated as piece-wise separate regions with constant conductivity in each region; therefore, the conductivity estimation problem is transformed to estimate the shape and location of the layer boundary interface. Each layer interface boundary is treated as an open boundary that is described using front points. The subsurface domain contains multi-layers with very complex configurations, and, in such situations, conventional methods such as the modified Newton Raphson method fail to provide the desired solution. Therefore, in this work, we have implemented a 7-layer artificial neural network (ANN) as an inverse problem algorithm to estimate the front points that describe the multi-layer interface boundaries. An ANN model consisting of input, output, and five fully connected hidden layers are trained for interlayer boundary reconstruction using training data that consists of pairs of voltage measurements of the subsurface domain with three-layer configuration and the corresponding front points of interface boundaries. The results from the proposed ANN model are compared with the gravitational search algorithm (GSA) for interlayer boundary estimation, and the results show that ANN is successful in estimating the layer boundaries with good accuracy.

A computational setting of calcium leaching in concrete and its coupling with continuum damage mechanics

  • Nguyen, V.H.;Nedjar, B.;Torrenti, J.M.
    • Computers and Concrete
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    • v.1 no.2
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    • pp.131-150
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    • 2004
  • We present in this work a coupled phenomenological chemo-mechanical model that represents the degradation of concrete-like materials. The chemical behaviour is described by the nowadays well known simplified calcium leaching approach. And the mechanical damage behaviour is described by a continuum damage model which involves the gradient of the damage quantity. The coupled nonlinear problem at hand is addressed within the context of the finite element method. For the equation governing the calcium dissolution-diffusion part of the problem, special care is taken to treat the highly nonlinear calcium conductivity and solid calcium functions. The algorithmic design is based on a Newton-type iterative scheme where use is made of a recently proposed relaxed linearization procedure. And for the equation governing the damage part of the problem, an augmented Lagrangian formulation is used to take into account the damage irreversibility constraint. Finally, numerical simulations are compared with experimental results on cement paste.

Effects of Porosity and Water Content on Thermal Conductivity of Soils (토양의 공극률 및 함수비가 열전도도에 미치는 영향)

  • Cha, Jang-Hwan;An, Sun-Joon;Koo, Min-Ho;Kim, Hyoung-Chan;Song, Yoon-Ho;Suh, Myoung-Seok
    • Journal of Soil and Groundwater Environment
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    • v.13 no.3
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    • pp.27-36
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    • 2008
  • This paper presents a comprehensive laboratory study that examines the effects of porosity, water content, density and grain size distribution on the thermal conductivity of soils which were sampled from 16 synoptic stations of Korea. The experimental results clearly demonstrate that porosity and water content are important parameters which strongly affect the thermal conductivity of soils. Soils with lower porosities and higher water contents have higher thermal conductivities. On the contrary, increase of the matrix density slightly increases the thermal conductivity, and grain size distribution hardly affects the thermal conductivity. Dry soils with the same porosity tend to have more scattered values of thermal conductivity than wet soils. Based on the experimental results, a multiple linear regression model and a nonlinear regression model, having two regression variables of porosity and water content, were presented to predict thermal conductivity. Both models show a high accuracy of prediction with $R^2$ values of 0.74 and 0.82, respectively. Thus, it is expected that the suggested empirical models can be used for predicting thermal conductivity of soils by measuring porosity and water content.

Drought Resistance Assessment of Ground Cover Plants for Low Management and Light Weight Green Roof System (저관리·경량형 옥상녹화를 위한 지피식물의 내건성 평가)

  • Zhao, Hong-Xia;Kang, Tai-Ho
    • Journal of the Korean Society of Environmental Restoration Technology
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    • v.16 no.1
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    • pp.83-97
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    • 2013
  • This study was carried out to suggest an experimental base in selecting the drought resistance of plants. Adopting the natural drought method, this paper studies the drought resistance of 12 kinds of ground cover plants. focusing on analyzing the changes of relative water content on leaf, relative electric conductivity and chlorophyll content in 12 kinds of plants, and and the relation between soil water content under drought stress. The drought resistance of the plants were subject to laboratory and rooftop drought resistance treatments. The Logistic model of nonlinear regression analysis was used to evaluate the lethal time that were predicted with the range of 10.4~30.1d on roof top, and 19.5~39.0d on hothouse. The result shows that with the increase of stress time, relative water content and chlorophyll content on leaf were in a downward trend; the relative electric conductivity was upward tendency. Among 12 species of ground cover plants, exclude Pulsatilla koreana, Ainsliaea acerifolia were selected for rooftop plants because they showed resist drought strongly and took adaptive ability.