Dynamics of a periodically forced spheroid in a quiescent fluid in the limit of low Reynolds numbers

Singh, Jogender; Kumar, C. V. Anil

doi:10.1007/s00397-019-01169-5

Cited by 6 publications

(4 citation statements)

References 25 publications

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“…There are two defined dimensionless numbers in this iPFF technique that can affect the separation effect significantly [25–28]. The first one is the Reynolds number,

R e

, defined as the ratio of the inertial force to the viscous force, as it dominates the inertial migration of the cells in confined channel flows [29, 30]. The

R e

could be as following,

R e = \frac{ρ U_{f} D_{h}}{μ} = \frac{2 ρ Q}{μ (w + h)},

where

U_{f}

is the average velocity of the fluid in the main channel,

D_{h}

is the hydraulic diameter, for the rectangular cross‐section flow channel

D_{h}

can be estimated as

D_{h} = 2 w h / false(w + h false)

with

h

and

w

indicating the height and width of the rectangular channel, and

Q

is the flow rate in volume.…”

Section: Resultsmentioning

confidence: 99%

“…To further analyze the separation effects, using the cell deflection from the bottom wall to determine the cell stream position [29], and a quantitative analysis of the two cell streams at the abruptly broadened segment was performed, as shown in Figure 3. The effect of the

R e

on the separation could be concluded as following.…”

Section: Resultsmentioning

confidence: 99%

“…When α approaches 10 or larger, the cell streams can be separated completely and the separation distance increase slowly as α does. In addition, compared with PFF, iPFF only needs to work at a smaller flow rate ratio, which can increase cell flux significantly [29].…”

Section: The Effect Of Flow Rate Ratio (α)mentioning

confidence: 99%

“…There are two defined dimensionless numbers in this iPFF technique that can affect the separation effect significantly [25][26][27][28]. The first one is the Reynolds number, Re, defined as the ratio of the inertial force to the viscous force, as it dominates the inertial migration of the cells in confined channel flows [29,30]. The Re could be as following,…”

Section: Theoretical Analysismentioning

confidence: 99%

See 3 more Smart Citations

Microalgae separation by inertia‐enhanced pinched flow fractionation

Wang

Liu

et al. 2021

Electrophoresis

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To improve the accuracy and efficiency of ships’ ballast water detection, the separation of microalgae according to size is significant. In this article, a method to separate microalgae based on inertia‐enhanced pinched flow fractionation (iPFF) was reported. The method utilized the inertial lift force induced by flow to separate microalgae according to size continuously. The experimental results show that, as the Reynolds number increases, the separation effect becomes better at first, but then stays unchanged. The best separation effect can be obtained when the Reynolds number is 12.3. In addition, with the increase of the flow rate ratio between sheath fluid and microalgae mixture, the separation effect becomes better and the best separation effect can be obtained when the flow rate ratio reaches 10. In this case, the recovery rate of Tetraselmis sp. is about 90%, and the purity is about 86%; the recovery rate of Chlorella sp. is as high as 99%, and the purity is about 99%. After that, the separation effect keeps getting better but very slowly. In general, this study provides a simple method for the separation of microalgae with different sizes, and lays a foundation for the accurate detection of microalgae in the ballast water.

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“…There are two defined dimensionless numbers in this iPFF technique that can affect the separation effect significantly [25–28]. The first one is the Reynolds number,

R e

, defined as the ratio of the inertial force to the viscous force, as it dominates the inertial migration of the cells in confined channel flows [29, 30]. The