• Title/Summary/Keyword: Longitudinal dispersion

Search Result 104, Processing Time 0.025 seconds

Dispersion Relation including the Effect of Diffusion for E.M. Wave in Solid-State Plasma (고상 프라즈마내에서의 전자파분산측과 확산효과)

  • Cho, Chul
    • 전기의세계
    • /
    • v.20 no.5
    • /
    • pp.15-18
    • /
    • 1971
  • Up to now, there have been numerous investigations about the effect of diffusion on the wave propagation in gaseous plasmas, but not so much in semiconductor magnetoplasmas. However, currently, it becomes the centor of interest to work with the latter problem, and this paper deals with the dispersion equation including diffusion effect in the latter case to see how diffusion affects the equation in which diffusion term is neglected in the first place, and the analysis is based on the assumption that the plasma can be treated as a hydrodynamical fluid, since, from a macroscopic view point, the plasma interacting with a magnetic field can be considered as a magneto-hydrodynamical fluid, an electrically conducting fluid subjected to electromagnetic force, and the system is linear. The results of the relation and computation show that in the non-streaming case the diffusion terms appear in the equation as perturbation terms and the amplitude of the wave vector changes parabolically with the variation of the angular frequency and the longitudinal modes are observed.

  • PDF

Hydrodynamic Dispersion Characteristics of Multi-soil Layer from a Field Tracer Test and Laboratory Column Experiments (현장추적자시험과 실내주상실험을 이용한 복합토양층의 수리분산특성 연구)

  • Kang, Dong-Hwan;Yang, Sung-Il;Kim, Tae-Yeong;Kim, Sung-Soo;Chung, Sang-Yong
    • Journal of Soil and Groundwater Environment
    • /
    • v.13 no.4
    • /
    • pp.1-7
    • /
    • 2008
  • This study analyzed for hydrodynamic dispersion characteristics of multi-soil layer (Silt and clay, Find sand, Coarse sand), data of a field tracer test on the multi-soil layer and data of laboratory column experiments on the samples on each soil layers. Through the analysis of permeability and flow, MS (Silt and clay) and FS (Fine sand), which were low effective porosity, were higher average linear velocity while CS (Coarse sand), which was high effective porosity, was higher hydraulic conductivity. Hydraulic conductivity function based on average soil particle diameter was assumed Y=$3.49{\times}10^{-8}e^{15320x}$ and coefficient of determination was 0.90. Average linear velocity function based on average soil particle diameter was assumed Y=$1.88{\times}10^{-7}e^{11459x}$ and coefficient of determination was 0.81. Longitudinal dispersivity function based on average soil particle diameter was Y = 0.00256$e^{5971x}$ and coefficient of determination was 0.98. According to the linear regression analysis of average linear velocity and longitudinal dispersivity, assumed function was Y = 21.7527x + 0.0063, and coefficient of determination was 0.9979. The ratio of field scale/laboratory scale was 54.09, it exhibited scale-dependent effect of hydrodynamic dispersion. Field longitudinal dispersivity (1.39m) was 7.47 times as higher than longitudinal dispersivity estimated by the methods of Xu and Eckstein (1995). Hydrodynamic dispersion on CS layer was occurred mainly by diffusion flow in the test aquifer.

Measurement of the Ultrasonic Longitudinal Wave Velocities in Thin Plate (얇은 판재에서의 초음파 종파속도 측정)

  • 안봉영;이승석;이재옥
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.15 no.6
    • /
    • pp.2181-2188
    • /
    • 1991
  • The ultrasonic longitudinal wave velocities propagating normal to the surface in thin plates were measured with the amplitude spectrum method. The accuracy of the velocity measurement in o.5mm thick plates was 0.1%. In 4.239mm thick plate the phase velocities at the frequency band of 5MHz-15MHz were measured with the phase spectrum method and the amplitude spectrum method, and the velocity difference between two methods was less than 20m/s.

Application of Thin-Walled Tubes Using Guided Wave (유도초음파를 이용한 대구경 배관 적용에 관한 연구)

  • Park, S.K.;Lee, Y.H.
    • Journal of Power System Engineering
    • /
    • v.12 no.1
    • /
    • pp.58-65
    • /
    • 2008
  • A method to test thin-walled tubes by guided ultrasonic wave is reported. The principle is that applicate two types of axially symmetric ultrasonic tube modes and "longitudinal" modes with particle displacement, which is coupled in axial and radial directions for transverse failures and torsional modes, oscillating in the circumferential direction only, for longitudinal failures. Both types of modes propagate along the tube in the axial direction. Therefore, a pulse-echo technique is possible. The pulses are excited and received at one end of the tube without contact electro-dynamic transducers. As soon as the tubes is put into a transducer coil at one end, the test of the whole tube can be accomplished in a few milliseconds. It is not necessary to rotate and transport the tubes during the test.

  • PDF

Attenuation of Fundamental Longitudinal Cylindrical Guided Wave Propagating in Liquid-Filled Steel Pipes

  • NA WON-BAE;RYU YEON-SUN;KIM JEONG-TAE
    • Journal of Ocean Engineering and Technology
    • /
    • v.19 no.5 s.66
    • /
    • pp.26-33
    • /
    • 2005
  • Attenuation of fundamental longitudinal guided wave propagating liquid-filled steel pipes is numerically investigated. Several liquids such as water, diesel oil, castor oil etc. are considered for the filing materials in the pipes. Sink is considered for numerical models for abandoning standing wave modes; hence the attenuation dispersion curves become much simpler. Those attenuation calculations can be utilized for guided-wave-based nondestructive testing of pipelines when one inspects pipelines, using monitoring sensors, which are installed outside pipes.

Development of a Guided Wave Technique for the Inspection of a Feeder Pipe in a Pressurized Heavy Water Reactor

  • Cheong, Yong-Moo;Lee, Dong-Hoon;Kim, Sang-Soo;Jung, Hyun-Kyu
    • Corrosion Science and Technology
    • /
    • v.4 no.3
    • /
    • pp.108-113
    • /
    • 2005
  • One of the recent safety issues in the pressurized heavy water reactor (PHWR) is the cracking of the feeder pipe. Because of the limited accessibility to the cracked region and a high dose of radiation exposure, it is difficult to inspect all the pipes with the conventional ultrasonic method. In order to solve this problem, a long-range guided wave technique has been developed. A computer program to calculate the dispersion curves in the pipe was developed and the dispersion curves for the feeder pipes in PHWR plants were determined. Several longitudinal and/or flexural modes were selected from the review of the dispersion curves and an actual experiment has been carried out with the specific alignment of the piezoelectric ultrasonic transducers. They were confirmed as L(0,1)) and/or flexural modes(F(m,2)) by the short time Fourier transformation(STFT) and were sensitive to the circumferential cracks, but not to the axial cracks in the pipe. An electromagnetic acoustic transducers(EMAT) was designed and fabricated for the generation and reception of the torsional guided wave. The axial cracks were detected by a torsional mode(T(0,1)) generated by the EMAT.

Analysis of Shallow Water Flow in Curved Channel Using Dispersion Stresses Method (분산응력법을 이용한 곡선수로에서의 천수흐름 해석)

  • Song, Chang Geun;Seo, Il Won;Kim, Tae Won;Ahn, Jungkyu
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.33 no.5
    • /
    • pp.1785-1795
    • /
    • 2013
  • Most of the previous models for analysis of shallow water flow assumed the uniform velocity distributions over the flow depth so that they produced incorrect velocity prediction at meandering part due to the ignorance of secondary current. In this study, the vertical velocity profiles in longitudinal and transverse direction were decomposed as the mean and variation components, which resulted in additional dispersion stresses terms in momentum equations. The proposed model were applied at the channels with $30^{\circ}$, $90^{\circ}$, $270^{\circ}$ bends, and shallow water flow in curved channel was analyzed using dispersion stresses. The dispersion stresses acted as a sink or source in the momentum equations, which caused the transverse convection of momentum to shift from the inner bank to the outer bank.

An Experimental Study of Flow and Dispersion Characteristics in Meandering Channel (사행수로에서의 유속 및 분산특성에 관한 실험적 연구)

  • Park, Sung-Won;Seo, Il-Won
    • 한국방재학회:학술대회논문집
    • /
    • 2008.02a
    • /
    • pp.799-802
    • /
    • 2008
  • General behaviors based on hydraulic characteristics of natural streams and channels have been recently analyzed and developed via various numerical models. However in the states of natural hydraulics, an experimental research must be performed simultaneously with the mathematical analysis due to effects of hydraulic properties such as meander, sediment, and so on. In this study based on 2-D advection-dispersion equation, flow and tracer experiments were performed in the S-curved meandering laboratory channel with a rectangular cross-section. The channel was equipped with instrument carriages which was equipped with an auto-traversing system to be used with velocity measuring sensors throughout the depth and breadth of the flow field. To measure concentration distribution of the salt solution was adjusted to that of the flume water by adding methanol and a red dye (KMnO4) was added to aid the visualization of the tracer cloud, the tracer was instantaneously injected into the flow as a full-depth vertical line source by the instantaneous injector and the initial concentration of the tracer was 100,000 mg/l. The secondary current as well as the primary flow pattern was analyzed to investigate the flow distribution in the meandering channels. The velocity distribution of the primary flow for all cases skewed toward the inner bank at the first bend, and was almost symmetric at the crossovers, and then shifted toward the inner bank again at the next alternating bend. Thus, one can clearly notice that the maximum velocity occurs taking the shortest course along the channel, irrespective of the flow conditions. The result of the tracer tests shows that pollutant clouds are spreading following the maximum velocity lines in each cases with various mixing patterns like superposition, separation, and stagnation of pollutant clouds. Flow characteristics in each cases performed in this study can be compared with tracer dispersion characteristics with using evaluation of longitudinal and transverse dispersion coefficients(LDC, TDC). As expected, LDC and TDC in meandering parts have been evaluated with increasing distribution and straight parts have effected to evaluate minimum of LDC and TDC due to symmetric flow patterns and attenuations of secondary flow.

  • PDF

A Study on the Flow and Dispersion in the Coastal Unconfined Aquifer (Development and Application of a Numerical Model) (해안지역 비피압 충적 대수층에서의 흐름 및 분산(수치모형의 개발 및 적용))

  • Kim, Sang Jun
    • Journal of Korea Water Resources Association
    • /
    • v.49 no.1
    • /
    • pp.61-72
    • /
    • 2016
  • In Korea, the aquifers at the coastal areas are mostly shallow alluvial unconfined aquifers. To simulate the flow and dispersion in unconfined aquifer, a FDM model has been developed to solve the nonlinear Boussinesq equation. Related analysis and verification have been executed. The iteration method is used to solve the nonlinearity, and the model shows 3-D shape because it is a 2-D y model that consider the undulation of water table and bottom. For the verification of the model, the output of flow module is compared to the 1-D analytic solution of Lee (1989) which have the drawdown or uplift boundary condition, and the two results show almost the same value. and the mass balance of dispersion module shows about 10% error. The developed model can be used for the analysis and design of the flow and dispersion in the unconfined aquifers. The model has been applied to the estuary area of Ssangcheon watershed, and the parameters have been deduced as a result : hydraulic conductivity is 90 m/day, and longitudinal dispersivity is 15 m. And the analysis with these parameters shows that the wells are situated in the influence circle of each others except for No. 7 well. Groundwater discharge to sea is $3700m^3/day$. And the chlorine ion ($cl^-$) concentration at the pumping wells increase at least 1000 mg/L if groundwater dam is not exist, so the groundwater dam plays an important role for the prevention of sea water intrusion.

Prediction of Travel Time and Longitudinal Dispersion for Water Pollutant by Using Unit Concentration Response Function (단위오염도틀 이용한 하천 오염물질의 이동시간과 종확산 예측)

  • Kim, Soo-Jun;Kim, Hung-Soo;Kim, Byung-Sik;Seoh, Byung-Ha
    • Journal of Korea Water Resources Association
    • /
    • v.39 no.5 s.166
    • /
    • pp.395-403
    • /
    • 2006
  • This study suggests the use of a simple method, called the unit concentration response function(UCRF) for predicting travel time and dispersion of pollutants with the minimum information of study area instead of numerical models which are widely used In the Previous studies. However, the numerical models require time-consuming, tedious effort, and many data sets. So we derive the UCRF using some components such as travel time, peak concentration, and passage time of pollutant etc. We use the regression equation for the estimations of components which were developed from the investigations of many river basins in USA. This study used the regression equaiton for the UCRF to the accident of Dichloromethane leak into the Nakdong River occurred on June 30, 1994 and applied the UCRF for the predictions of travel time and dispersion. The predictions were compared with the results by QUAL2E model. The results by the regression equaiton and QUAL2E model had a good agreement between observed and simulated concentrations. Therefore, the regression equation for the UCRF which can simply estimate travel time and concentration of pollutants showed its applicability for the ungaged basin.