• Title/Summary/Keyword: Stokes-Einstein equation

Search Result 4, Processing Time 0.024 seconds

A Study on the Analysis of the Total Load by the Unit Stream Power (Unit Stream Power에 의한 총유사량해석(總流砂量解析)에 관한 연구(研究))

  • Lee, Won Hwan;Chun, Min Woo;Park, Sang Deog
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.4 no.1
    • /
    • pp.79-92
    • /
    • 1984
  • The analysis of total load was carried out by using the theory of unit stseam power (USP). The dimensionless USP equation of $S_R$ which was the rate of suspended load and bed load was derived from the USP function by applying the Einstein's reference concentration and Stokes' fall velocity. And the R relationship between the water discharge and Reynolds number (Re) was discussed, and it was shown that USP was closely related with Re. The value of $S_R$ was determined from the experimental data of Han River downstream and Mantz. And it was tested to several observatories of Korean Rivers. A good correlation among USP, suspended load and $S_R$ was shown and USP was increased with the increment of the turbulent intensity. Judging from the above results, it is considered this study can be contributed to estimate the total load.

  • PDF

Self-Diffusion Coefficients of Colloidal Association Structures in ADS/OTAC Mixed Aqueous Solutions by Pulsed (Field) Gradient Spin Echo-NMR (Pulsed (Field) Gradient Spin Echo (PGSE) NMR에 의한 ADS/OTAC 혼합 수용액에서의 콜로이드 회합체의 자가 확산 계수)

  • Kim, Hong-Un;Lim, Kyung-Hee;Kim, Eun-Hee;Cheong, Chae-Joon
    • Journal of the Korean Applied Science and Technology
    • /
    • v.19 no.4
    • /
    • pp.339-348
    • /
    • 2002
  • Self-diffusion coefficients of colloidal ass9Ciation structures in the aqueous solutions of anionic ammonium dodecyl sulfate (ADS) and cationic octadecyltrimethylammonium chloride (OTAC) surfactants were measured by pulsed-gradient spin echo NMR. The results were interpreted on the basis of the ADS/OTAC/water phase diagram. Crossing the phase boundaries, significant changes in self diffusion coefficients were observed and well correlated to the phase diagram. For the micelles their apparent radii were obtained from Stokes-Einstein equation. Their values were 15 for the ADS micelles and 54 ${{\AA}}$ for the OTAC micelles, respectively. For vesicles which were formed spontaneously at different relative amounts of the surfactants and total surfactant concentrations, the radius was measured as 50 to 200 nm. This result is in fair agreement with those by TEM and light scattering.

A Numerical Analysis for Estimations of Osmotic Pressure of Colloidal Suspension and Gradient Diffusion Coefficient of Particles from Permeate Flux Experiments (투과플럭스 실험으로부터 콜로이드 서스펜션의 삼투압과 입자의 구배확산계수 산출을 위한 수치적 해석)

  • 전명석
    • Membrane Journal
    • /
    • v.12 no.2
    • /
    • pp.90-96
    • /
    • 2002
  • A novel methodology on the calculations of osmotic pressure and gradient diffusion coefficient has been provided ill the present study, by applying a succinct numerical analysis on the experimental results. Although both the osmotic pressure and the gradient diffusion coefficient represent a fundamental characteristic in related membrane filtrations such as microfiltration and ultrafiltration, neither theoretical analysis nor experiments can readily determine them. The osmotic pressure of colloidal suspension has been successfully determined from a relationship between the data of the time-dependent permeate flux, their numerical accumulations, and their numerical derivatives. It is obvious that the osmotic pressure is gradually increased, as the particle concentration increases. The thermodynamic coefficient was calculated from the numerical differentiation of the correlation equation of osmotic pressure, and the hydrodynamic coefficient was evaluated from the previously developed relation for an ordered system. Finally, the estimated gradient diffusion coefficient, which entirely depends on the particle concentration, was compared to the previous results obtained from the statistical mechanical simulations.

Particle-motion-tracking Algorithm for the Evaluation of the Multi-physical Properties of Single Nanoparticles (단일 나노입자의 다중 물리량의 평가를 위한 입자 모션 트랙킹 알고리즘)

  • Park, Yeeun;Kang, Geeyoon;Park, Minsu;Noh, Hyowoong;Park, Hongsik
    • Journal of Sensor Science and Technology
    • /
    • v.31 no.3
    • /
    • pp.175-179
    • /
    • 2022
  • The physical properties of biomaterials are important for their isolation and separation from body fluids. In particular, the precise evaluation of the multi-physical properties of single biomolecules is essential in that the correlation between physical and biological properties of specific biomolecule. However, the majority of scientific equipment, can only determine specific-physical properties of single nanoparticles, making the evaluation of the multi-physical properties difficult. The improvement of analytical techniques for the evaluation of multi-physical properties is therefore required in various research fields. In this study, we developed a motion-tracking algorithm to evaluate the multi-physical properties of single-nanoparticles by analyzing their behavior. We observed the Brownian motion and electric-field-induced drift of fluorescent nanoparticles injected in a microfluidic chip with two electrodes using confocal microscopy. The proposed algorithm is able to determine the size of the nanoparticles by i) removing the background noise from images, ii) tracking the motion of nanoparticles using the circular-Hough transform, iii) extracting the mean squared displacement (MSD) of the tracked nanoparticles, and iv) applying the MSD to the Stokes-Einstein equation. We compared the evaluated size of the nanoparticles with the size measured by SEM. We also determined the zeta-potential and surface-charge density of the nanoparticles using the extracted electrophoretic velocity and the Helmholtz-Smoluchowski equation. The proposed motion-tracking algorithm could be employed in various fields related to biomaterial analysis, such as exosome analysis.