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Sample dispersion in isotachophoresis with Poiseuille counterflow
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10.1063/1.4789967
/content/aip/journal/pof2/25/2/10.1063/1.4789967
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/2/10.1063/1.4789967
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Sketch of the situation considered. A single sample zone is sandwiched between a leading (LE) and trailing (TE) electrolyte. The sample ions migrate from left to right at velocity in an applied electric field. A pressure driven flow from right to left is applied that exactly counters the electromigration, such that the sample plug is stationary. The channel length, = + + , is the sum of lengths occupied by the leading and trailing electrolytes as well as the sample. We will consider ,  .

Image of FIG. 2.
FIG. 2.

Sample concentration obtained in the 2D model for ( = μ = / ) = 3, ( = μ = / ) = 2 with channel depths of (a) = 10 μm (Pe = 40) and (b) = 30 μm (Pe = 120). The amount of sample is . Both coordinates axes show the length in units of 10 , but were rescaled differently for better visualization of the sample distribution.

Image of FIG. 3.
FIG. 3.

Effect of the channel height on the area-averaged sample concentration profile and comparison with the corresponding profile obtained in the Taylor-Aris dispersion model for fixed values of the diffusivity ratios, i.e., ( = μ = / ) = 3 and ( = μ = / ) = 2 when the depth of the channel is chosen as = 10 μm and = 30 μm, respectively. The amount of sample is . Dashed lines represent the results obtained from the 2D model and solid lines corresponding results from the 1D model.

Image of FIG. 4.
FIG. 4.

Area-averaged sample concentration profile obtained in the 2D simulation for different values of the diffusivity of sample electrolyte, i.e., ( = μ = / ) = 1.1 (Pe = 55), = 2 (Pe = 100), = 2.7 (Pe = 135). Here, the LE to TE diffusivity ratio, i.e, ( = μ = / ) = 3 and channel depth is = 25 μm. The amount of sample is (a) ; (b) . A comparison with the corresponding profile obtained in the Taylor-Aris dispersion model is also made. Dashed lines represent the results obtained from the 2D model and the solid line represents corresponding results from the 1D model.

Image of FIG. 5.
FIG. 5.

Sample concentration obtained in the 2D model for ( = μ = / ) = 3 and ( = μ = / ) = 2 when (a) , (b) , (c) , and (d) with . The channel depth is = 25 μm. Note that both the coordinate axes are multiplied by a factor 10 m.

Image of FIG. 6.
FIG. 6.

Comparison of the area-averaged sample concentration profiles obtained in the 2D simulation with the corresponding profile obtained in the Taylor-Aris dispersion model for fixed values of ( = μ = / ) = 2 and ( = μ = / ) = 1.5 when (a) , (b) , (c) , and (d) with . The depth of the channel is = 25 μm. The solid line represents the results obtained from 1D model and dashed lines from 2D model.

Image of FIG. 7.
FIG. 7.

Variation of the (a) standard deviation and (b) skewness of the sample distribution with ( = μ = / ) for a fixed value of ( = μ = / ) = 2, 3, 4, and 5. The amount of sample is . Lines with unfilled symbols represent the results from the 1D model (Taylor-Aris model), lines with filled symbols those from the 2D model.

Image of FIG. 8.
FIG. 8.

Variation of the (a) standard deviation and (b) skewness of the sample distribution with ( = μ = / ) for a fixed value of ( = μ = / ) = 3. The Péclet number is Pe = 50 , the depth of the channel = 25 μm. The amount of sample is and 4 μm. Lines with unfilled symbols represent the results from the 1D model (Taylor-Aris model), lines with filled symbols those from the 2D model.

Image of FIG. 9.
FIG. 9.

Variation of the (a) standard deviation and (b) skewness of the sample distribution with the channel depth, where (= μ = / ) = 3, ( = μ = / ) = 2, and . The Péclet number varies with the channel depth as Pe = 100· /(25 μm).

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/content/aip/journal/pof2/25/2/10.1063/1.4789967
2013-02-08
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Sample dispersion in isotachophoresis with Poiseuille counterflow
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/2/10.1063/1.4789967
10.1063/1.4789967
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