ve Q3. Péclet number - We've seen the Péclet number Pé = as a useful metric to " D determine if stirring (Pé > 1) is more efficient than diffusion (Pé < 1) for mixing solutions. "Stirring" here can designate any process which applies a force on the molecules, resulting in a velocity v. a) Show that the Péclet number, like the Reynolds number, is unitless. Let's think about why scale (1) matters for mixing. λ-DNA, a DNA polymer containing 48,502 base pairs, has a diffusion coefficient of D 6.4 x 10-13m²s-1. Under an electric field of 1 V/m, we can expect λ-DNA to reach a terminal velocity of 30 nm/s. =
ve Q3. Péclet number - We've seen the Péclet number Pé = as a useful metric to " D determine if stirring (Pé > 1) is more efficient than diffusion (Pé < 1) for mixing solutions. "Stirring" here can designate any process which applies a force on the molecules, resulting in a velocity v. a) Show that the Péclet number, like the Reynolds number, is unitless. Let's think about why scale (1) matters for mixing. λ-DNA, a DNA polymer containing 48,502 base pairs, has a diffusion coefficient of D 6.4 x 10-13m²s-1. Under an electric field of 1 V/m, we can expect λ-DNA to reach a terminal velocity of 30 nm/s. =
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Transcribed Image Text:Q3. Péclet number - We've seen the Péclet number Pé
vl
as a useful metric to
D
determine if stirring (Pé > 1) is more efficient than diffusion (Pé < 1) for mixing
solutions. "Stirring" here can designate any process which applies a force on the molecules,
resulting in a velocity v.
a) Show that the Péclet number, like the Reynolds number, is unitless.
Let's think about why scale (f) matters for mixing. 2-DNA, a DNA polymer containing
48,502 base pairs, has a diffusion coefficient of D
field of 1 V/m, we can expect 1-DNA to reach a terminal velocity of 30 nm/s.
6.4 × 10-13m²s¬1. Under an electric
b) Find the Péclet number for a system of dimension of e = 10 cm. This corresponds
to the scale of most benchtop instruments used to manipulate or separate
biomolecules.
c) Find the Péclet number for a system of dimension of e
to the scale over which most cellular processes occur.
d) Find the scale l for which diffusion is just as efficient as electric field for displacing
= 10 µm. This corresponds
2-DNA.
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