• Proceedings of the KSME Conference
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• 2008.11b
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• pp.2396-2400
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• 2008

The motion of small heavy particles in homogeneous isotropic turbulence in the present of gravity is investigated using Direct Numerical Simulations (DNS) at moderate Reynolds number. The Lagrangian velocity and acceleration statistics of particles and of flow for a wide range of Stokes number, defined as the ratio of the particle response time to Kolmogorov time scale of turbulence, were obtained for the direction of the gravity and normal direction, respectively. It is found that particles lose their correction faster than the case without gravity. Then, a significant increase in the average settling velocity was observed for a certain range of Stokes number. Our focus is placed on gravitational effect on very small particles. Our simulations show that as the Stokes number reduces to zero, their mean settling velocity approaches the terminal velocity in still fluid.

• Journal of Korea Water Resources Association
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• v.55 no.11
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• pp.955-967
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• 2022

Existing particle tracking models predict vertical displacement of particles based on the terminal settling velocity in the stagnant water. However, experimental results of the present study confirmed that the settling velocity of particles is influenced by the turbulence effects in turbulent flow, consistent with the previous studies. The settling velocity of particles and turbulent characteristics were measured by using PTV and PIV methods, respectively, in order to establish relationship between the particle settling velocity and the ambient turbulence. It was observed that the settling velocity increase rate starts to grow when the particle diameter is of the same order as Kolmogorov length scale. Compared with the previous studies, the present study shows that the graphs of the settling velocity increase rate according to the Stokes number have concave shapes for each particle density. In conclusion, since the settling velocity in the natural flow is faster than in the stagnant water, the existing particle tracking model may estimate a relatively long time for particles to reach the river bed. Therefore, the results of the present study can help improve the performance of particle tracking models.

• Journal of Korean Society on Water Environment
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• v.23 no.6
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• pp.807-813
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• 2007

Settling velocity is one of major parameters determining algal biomass in water quality modeling. In this study, the settling velocity of phytoplankton was measured in reservoir and stream sites of the Nakdong River, Korea. Settling velocities of various phytoplankton species were determined by measuring algal cell biomass settled in a sedimentation cylinder. Mean settling velocities were $0.22m\;day^{-1}$ in reservoir sites and $0.33m\;day^{-1}$ in stream sites, which were relatively higher compared with other default values suggested by water quality models (e.g. $0.1m\;day^{-1}$ in CE-QUAL-W2). The lower settling velocity in reservoirs than in stream implies the adaptation of phytoplakton to low turbulence in lentic environments. Cyanobacteria showed lower settling velocity ($0.2m\;day^{-1}$) than diatoms ($0.3m\;day^{-1}$), and this phenomenon may have resulted from buoyancy mechanisms of cyanobacteria. Cell volume did not show a significant correlation with settling velocity in this study, implying that conformation factors of colonies or other factors had large effects on settling velocity of algal cells as well as cell size. The result of this study may suggest proper coefficients of settling velocity of phytoplankton in the calibration of water quality model.

• Journal of the Korean GEO-environmental Society
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• v.16 no.10
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• pp.33-38
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• 2015

This study conducted experimental observations of the settling velocity of a coarse particle in water varying material type and particle size and compared the results with preexisting empirical equations. Three types of materials, which are polyacetal, glass and steel, were used in this study and the diameter of particle ranged from 1 mm to 20 mm. Experiment results showed that the settling velocity of coarse particle had a significant difference from Stokes equation which is known applicable for a fine particle smaller than $50{\mu}m$. In addition, the observed particle velocity showed a significant difference when compared with other empirical equations, which was proposed for estimating the settling velocity of a particle regardless of particle size, depending on the material type and particle size. The results from experimental observations indicated that the settling velocity of a coarse particle was relatively in smaller difference to other empirical equations for the particle size smaller than 3 mm, but as the size increased the difference in the settling velocity also increased. This study clearly showed that the settling velocity of a coarse particle velocity can be significantly different depending on particle size and density and the empirical equations may not reliably estimate the settling velocity of a coarse particle so that they should not be used as it is and a verification of them is necessarily before any use. The study results would provide a useful information for a better understanding of settling velocity of a particle in water.

• Journal of the Korean Society of Hazard Mitigation
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• v.9 no.4
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• pp.107-113
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• 2009

This paper considers the influence of floc on the sedimentation rate for the cohesive material. The effects of floc density and size changes were also taking into consideration during the experiment. The settling velocity of a discrete floc was measured in a quiescent water column. Floc diameter and density were investigated using a modified Stokes equation with some constants such as water density, viscosity, material density and the floc fractal dimension $n_f$ obtained from the relationship between the floc diameter and the floc settling. The floc diameter of quartz and alumina increased at increasing initial concentrations. The floc size of quartz with increasing NaCl concentration varied between approximately 0.8 um to $10{\mu}m$. Floc density decreased as floc size increased. The floc settling velocity and the floc diameter have a straight line relationship on a logarithm. The floc fractal dimension nf was 2.65 with increasing of initial concentration and 2.93 with increasing of NaCl. The exponent n to predict the settling velocity was proposed and varied from 1 to 1.93.

• Biotechnology and Bioprocess Engineering:BBE
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• v.9 no.4
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• pp.323-325
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• 2004

To model the behavior of expanded beds with aqueous feed streams containing different amounts of glycerol, we previously developed a modified Stokes expression that correlates the terminal settling velocity of a particle of a solution with the properties of the particle (particle diameter and density) and the solution (density and viscosity). Two empirical parameters, the effective diameter of the poly-disperse resins for protein adsorption and an exponent of non-unity for $(\rho_{P}-\rho)/\mu$ term, are introduced in the modified Stokes expression. We applied the same type of the modified Stokes expression in combination with the Richardson-Zaki correlation to the published results [1], and found that the expansions of the beds with feed streams containing different amounts of E. coli homogenates can also be successfully described.

• Korean Journal of Fisheries and Aquatic Sciences
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• v.32 no.6
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• pp.706-712
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• 1999

PSD (particle size distribution) for 2,000 mg/$\ell$ natural loess in seawater showed normal distribution cure at 0 minute settling time, accompanying with very large particle distribution range with its mean particle diameter of 31.6 $\mu$m and coencient of variance of $72.6\%$, With elapsed time it showed that the PSD was rapidly changed from normal distribution cure to abnormal distribution curve, steepened the right-hand side of it and its coefficient of variance was getting increased because of rapid settling of large size particles, Cumulative weight distribution showed that 2,000 mg/$\ell$ natural loess in seawater was almost $100\%$ constituted of particles bigger than 20 $\mu$m in diameter. Ratio of $V_s/(D_{bm})^{1/2}$ for loess particles in seawater was increased with increase of particle size in geometrical progression. Almost all loess particles in seawater had Stokes settling velocity not less than 2,255 times of Brownian diffusion coefficient, There was almost to EDL (about 0.4 nm) around natural loess particles in seawater, Thus, there was always LVDW attractive force between loess particles approaching each other in seawater, and almost no EDL repulsive force. Loess particles were not always in the condition of easy floe formation. Concentration of natural loess in seawater increasing from 400 mg/$\ell$ to 10,000 mg/$\ell$, characteristics of the settling was changed from Type I settling (discrete settling) to Type II settling (flocculation settling). PVD (particle volume distribution) showed that natural loess particles in seawater were largely constituted of two types of particles, such as rapidly settling particles and suspended and dispersed particles for a long time. Amount of the latter was much less than that of the former.

• Journal of the Korean GEO-environmental Society
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• v.23 no.9
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• pp.33-40
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• 2022

Sedimentation and pH neutralization has been investigated as preteatment of acid contaminate water. The settling and neutralizing process derive more effective degradation efficiency as the pre-treatment process before the removal process of adsorption, volatile, biodegradation, or oxidation. Settling velocity, uniformity coefficient, coefficient of curvature, and grain size index can define in the sedimentation process for characteristics of the soil. The stainless steel sieve has been used to separate each particle size of the dry soil by assembling in order of 4, 10, 20, 40, 80, 100, and 200 mesh sizes. The soil from Gamcheon Port in Busan drops upper side of the sieve and shakes back and forth to separate each different size of the particle. The 1L of Imhoff cone and 200 mL of the mass cylinder were used as settling tanks to calculate settling velocity. Stokes' equation was used to figure out the average density of dry soil with a value from settling velocity. In the results, the average particle density and lowest settling velocity were 1.93 g/cm³ and 0.11 cm/s, respectively. These values can detect the range of settling points of sediment to prevent chemical accidents. In pH neutralization, the initial pH of 2, 3, 4, and 5 of nitric acid and sulfuric acid are used as an acid solution; 0.1, 0.01, and 0.001 M of sodium hydroxide and calcium hydroxide are used as a base solution. The main goal of this experiment is to figure out the volume percentage of the acid solution becomes pH 7. The concentration of 0.001 M of base solution exceeds all the conditions, 0.01 M exceeds partially, and 0.1 M does not exceed 5 v/v% except pH 2. Calcium hydroxide present less volume than sodium hydroxide at pH neutralization both sulfuric and nitric acid.

• Proceedings of the Korea Water Resources Association Conference
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• 2019.05a
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• pp.87-87
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• 2019

흔히 진흙으로 대표되는 점착성 유사는 모래와 같은 비점착성 유사와 달리 응집 현상으로 인해 지속적으로 유사 입자의 크기가 변화한다. 응집 현상은 점착성 유사 입자의 응집 과정과 파괴과정으로 구성된다. 응집 현상 중 응집 과정은 유사 입자 간의 충돌로 인해 발생하는 것으로 이해되며, 충돌을 야기하는 메커니즘으로는 브라운 운동(Brownian Motion), 차등침강(Differential Settling), 난류 전단 (Turbulent Flow Shear)이 있다. 파괴 과정은 입자간 충돌로 인해 깨지는 것이 아닌 난류 전단(Turbulent Shear)로 인한 덩어리 분리(Massive Splitting)가 발생하는 것으로 이해한다. 이러한 유체의 특성, 흐름 특성 (난류 거동) 뿐만 아니라 유사 입자의 특성 모두의 영향을 받으며 지속적인 응집 현상을 겪는 점착성 유사 입자들은 하나의 커다란 덩어리인 플럭(Floc)을 형성한다. 형성된 플럭의 구조는 프랙탈 기하학을 따르는 것으로 이해된다. 따라서 플럭의 구조는 자기 유사성을 띠며, 플럭의 밀도는 형성된 플럭 크기의 함수가 된다. 플럭의 크기가 증가할수록 플럭의 프랙탈 차원이 감소하며, 플럭의 밀도는 감소한다. 많은 이전의 연구에서 플럭의 침강 속도를 농도에 따른 함수로 가정하고 경험식을 이용하여 산정하나, 유사 입자의 침강 속도는 크기와 밀도의 함수임을 Stokes Law를 통해 생각해 볼 수 있다. 이에 본 연구에서는 응집 현상의 결과물로 형성된 응집물의 크기와 밀도를 각각 산정하고, Stokes Law를 이용하여 침강 속도와 응집물 크기의 관계에 대한 연구를 수행하고자 한다. 보다 심도 있는 연구를 위해서는 응집 현상을 야기하는 메커니즘에 대한 이해가 필수적이다. 간소화된 응집 모형으로부터 얻어진 플럭 크기를 이용하여 프랙탈 차원, 플럭의 밀도를 산정한다. 형성된 응집물의 크기와 침강 속도의 관계에 대한 이해를 통해 보다 정확한 플럭의 침강 속도 산정이 가능할 것으로 생각된다.