• Title/Summary/Keyword: transport equation

Search Result 766, Processing Time 0.028 seconds

AC Loss Calculation in High Temperature Superconductors Using Slab model (Slab모델을 이용한 HTS AC 손실의 계산)

  • 최세용;주진호;류경우;나완수
    • Proceedings of the Korea Institute of Applied Superconductivity and Cryogenics Conference
    • /
    • 2001.02a
    • /
    • pp.102-103
    • /
    • 2001
  • In this paper we calculate the AC Loss in the superconducting slab carrying ac transport current. Magnetic diffusion equation for computation of the electric field and current distribution are based on Maxwell's equations and non-linear constitutive equation. The E-J characteristics of superconductor are applied to computation. We will present the result of the high-temperature superconductor case comparison with the slab of low temperature superconductor.

  • PDF

Basic Research of Laser Triggered Lightning for a Protection of Lightning (뇌해방지를 위한 레이저 유도뢰에 관한 기초적 연구)

  • Chang, Yong-Moo;Kang, Hyung-Boo
    • Proceedings of the KIEE Conference
    • /
    • 1994.07b
    • /
    • pp.1568-1570
    • /
    • 1994
  • Laser-triggered-lightning is protection methed for power apparatus against lightning. It is necessary to understand the generation mechanism of laser produced plasma. So production of long distance laser-plasma-channel was numerically analyzed with electron growth equation and laser transport equation.

  • PDF

MILD SOLUTIONS FOR THE RELATIVISTIC VLASOV-KLEIN-GORDON SYSTEM

  • Xiao, Meixia;Zhang, Xianwen
    • Bulletin of the Korean Mathematical Society
    • /
    • v.56 no.6
    • /
    • pp.1447-1465
    • /
    • 2019
  • In this paper, the relativistic Vlasov-Klein-Gordon system in one dimension is investigated. This non-linear dynamics system consists of a transport equation for the distribution function combined with Klein-Gordon equation. Without any assumption of continuity or compact support of any initial particle density $f_0$, we prove the existence and uniqueness of the mild solution via the iteration method.

Numerical Analysis for Contaminant Transport using a Dual Reactive Domain Model

  • 정대인;최종근
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
    • /
    • 2002.04a
    • /
    • pp.122-126
    • /
    • 2002
  • Contaminant transport in porous media is characterized by solving an advection-dispersion equation(ADE). The ADE can cover equilibrium phenomena of interest, which include sorption, decay, and chemical reactions. Among these phenomena, sorption mechanism is described by several types of sorption isotherm. If we assume the sorption isotherm as linear, the solution of ADE can be easily procured. However, if we consider the sorption isotherm as non-linear isotherm like a Dual Reactive Domain Model (DRDM), the resulting differential equation becomes non-linear. In this case, the solution of ADE cannot be easily acquired by an analytic method. In this paper, we present the numerical analysis of ADE using a DRDM. The results reveal that even if sorption data may be fitted well using linear or non-linear isotherm, the characteristics of contaminant transport of the two cases are different from each other. To be concrete, the retardation of linear isotherm has stronger effect than that of the DRDM. As the non-linearity of sorption isotherm increases, the difference of retardation effects of the two cases becomes larger. For a pulse source, the maximum concentration of the linear model is higher than that of the DRDM, but the plume of the DRDM moves faster than that of the linear model. Behaviors of contaminant transport using the DRDM are consistent with common features of a linear model. For instance, biodegradation effect becomes larger as time goes by The faster the seepage velocity is, the faster the plume of contaminant moves. The plume of the contaminant is distributed evenly over overall domain in the event of high dispersion coefficient.

  • PDF

Multiphase Modeling on the Convective Transport of an Organic Solvent through Unsaturated Soils (비포화 토양층 내 유기 용매의 이류 이동에 대한 다상 모델링)

  • Lee Kun Sang
    • Journal of Soil and Groundwater Environment
    • /
    • v.9 no.3
    • /
    • pp.20-26
    • /
    • 2004
  • In-situ photolysis is one of the most promising ways to clean up a soil contaminated with 2,3,7,8-tetrachlorodibenzo-p-dioxin (TCDD). This study focuses on the mathematical description and model development of the convective upward transport of an organic solvent driven by evaporation and photodecomposition at the surface as the major transport mechanism in the clean up process. A finite-element-based numerical model was proposed to incorporate effects of multiphase flow on the distribution of each fluid, gravity as a driving force, and the use of van Genutchen equation for more accurate description of k-S-p relations. This paper presents results of extensive numerical calculations conducted to investigate the various parameters that play a role in the solvent migration through a laboratory-scale unsaturated soil column. The numerical results indicate that gravity affects significantly on the fluids distribution and evaporation for highly permeable soils. The soil texture has a profound influence on the fluid saturation profile during evaporation process. The amount of solvent convective motion increases with increasing evaporation rates and decreasing initial water saturation. Simulations conducted in this study have shown that the developed model is very useful in analyzing the effects of various parameters on the convective migration of an organic solvent in the soil environments.

Transport of Water through Polymer Membrane in Proton Exchange Membrane Fuel Cells (고분자전해질 연료전지에서 고분자막을 통한 물의 이동)

  • Lee, Daewoong;Hwang, Byungchan;Lim, Daehyun;Chung, Hoi-Bum;You, Seung-Eul;Ku, Young-Mo;Park, Kwonpil
    • Korean Chemical Engineering Research
    • /
    • v.57 no.3
    • /
    • pp.338-343
    • /
    • 2019
  • The water transport and water content of the electrolyte membrane greatly affect the performance of the membrane in PEMFC(Proton Exchange Membrane Fuel Cell). In this study, the parameters (electroosmotic coefficient, water diffusion coefficient) of polymer membranes for water transport were measured by a simple method, and water flux and ion conductivity were simulated by using a model equation. One dimensional steady state model equation was constructed by using only the electro-osmosis and diffusion as the driving force of water transport. The governing equations were simulated with MATLAB. The electro-osmotic coefficient of $144{\mu}m$ thick polymer membranes was measured in hydrogen pumping cell, the value was 1.11. The water diffusion coefficient was expressed as a function of relative humidity and the activation energy for water diffusion was $2,889kJ/mol{\cdot}K$. The water flux and ion conductivity results simulated by applying these coefficients showed good agreement with the experimental data.

NUMERICAL MODELLING OF SEDIMENT TRANSPORT IN CONNECTION WITH ARTIFICIAL GRAIN FEEDING ACTIVITIES IN THE RIVER RHINE

  • Duc Bui Minh;Wenka Thomas
    • Water Engineering Research
    • /
    • v.6 no.1
    • /
    • pp.17-30
    • /
    • 2005
  • The bed evolution of the stretch of the River Rhine between km-812.5 and km-821.5 is characterised by general bed degradation as a result of the river training works and dredging activities of the last two centuries. The degradation of the river bed affects the water levels, and so the navigation conditions. To combat the erosion of the river bed with the aim to keep up the shipping traffic and to avoid the ecological system damages due to water level reductions, sand-gravel-mixtures were added to the river (so called artificial grain feeding activities). This paper presents the results of an application of a graded sediment transport model in order to study morpholodynamical characteristics due to artificial grain feeding activities in the river stretch. The finite element code TELEMAC2D was used for flow calculation by solving the 2D shallow water equation on non-structured grids. The sediment transport module SISYPHE has been developed for graded sediment transport using a multiple layer model. The needs to apply such graded sediment transport approaches to study morphological processes in the domain are discussed. The calculations have been carried out for the case of middle water flow and different size-fraction distributions. The results show that the grain feeding process could be well simulated by the model.

  • PDF

Bed Load Transport by Waves and Current (파와 해류에 의한 소류사 이동)

  • 유동훈
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.7 no.3
    • /
    • pp.257-264
    • /
    • 1995
  • Various factors are investigated on the bed load transport driven by waves and current, and proper forms of bed load transport formulas mainly used in river hydraulics are chosen for the estimation of combined flow bed load transport after considering the additional factors. The BYO Model is employed for the computation of maximum bed shear stress and mean bed shear stress of the combined flow. The friction factor of uni-directional flow is estimated by using modified Keulegan equation, and equivalent roughness height is determined by obtaining correct answer for the bed shear stress of uni-directional flow. Empirical constant in each bed load formula is determined by applying it to Bijker's laboratory data of bed load transport by waves and current and the formulas obtained are discussed on their final forms with the values of empirical constants.

  • PDF

Object-Oriented Mission Modeling for Multiple Transport Aircraft

  • Zang, Jing;Liu, Hu;Liu, Tianping;Ni, Xianping
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.14 no.3
    • /
    • pp.264-271
    • /
    • 2013
  • A method of multiple transport-aircraft mission modeling is proposed in order to improve the efficiency of evaluating and optimizing pre-mission plans. To deal with the challenge of multiple transport-aircraft missions, the object-oriented modeling method is utilized. The elements of the mission are decomposed into objects and businesses, And the major mission objects and their important properties are summarized. A complex mission can be broken down into basic business modules such as the ground section and flight section. The business models of loading and fueling services in the ground section are described. The business model of the flight section is composed of an air route and flight profile with the flight equation and the fuel consumption model. The logical relationship of objects and business modules is introduced. The architecture of the simulation system, which includes a database, computation module, graphical user interface (GUI) module, and a result analysis module, is established. A sample case that includes two different plans is provided to verify the model's ability to achieve multi-aircraft composite mission simulation.

The Ion Transport Phenomena through the Liquid Membrane with Macrocylic Compound (II). Transport of $H^+$Ion through Organic Liquid Membranes Containing Dibenzo-18-crown-6 and Dicyclohexyl-18-crown-6 as Carrier (마크로고리 화합물을 운반체로 하는 액체막을 통한 이온의 운반에 관한 연구 (제2보). 유기액체막 운반체를 통한 수소이온의 운반)

  • Yoon, Chang-Ju;Lee, Shim-Sung;Kim, Young-Hee;Kim, Si-Joong
    • Journal of the Korean Chemical Society
    • /
    • v.28 no.3
    • /
    • pp.170-175
    • /
    • 1984
  • The transport rates of $H^+$ ion by DBC and DCC as carrier molecules through organic liquid membranes were determined at 25$^{\circ}$C. The transport rates depend highly on the dielectric constants of membrane solvents and these results were discussed in terms of Born's potential energy barrier methods. The sizes of anions also affect the transport rates and these results were well explained theoreticlly by extended Born's equation.

  • PDF