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.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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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. 1-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 x 10-13m²s=1. Under an electric
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. 1-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 x 10-13m²s=1. Under an electric
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