this is for holding javascript data
Cato edited Payam and DNA.tex
over 10 years ago
Commit id: 4f32fb576678e39b055fe9f624d3a777beb130bf
deletions | additions
diff --git a/Payam and DNA.tex b/Payam and DNA.tex
index b6f357a..b2a44c8 100644
--- a/Payam and DNA.tex
+++ b/Payam and DNA.tex
...
\item Drag resistances (for elongated/prolate bodies) from \citet{Burgers_1995}:\\
For a spherical particle: $F_{\rm drag}^{\rm sph}=6\pi\eta a V$.\\
For an end-on ellipsoid: $F_{\rm drag}^{\rm
elle}=\frac{4\pi\eta ell-e}=\frac{4\pi\eta a V}{\ln(2a/b_0)-0.5}$, where $a$ is half the length and $b_0$ is the equatorial radius.\\
For an end-on cylinder: $F_{\rm drag}^{\rm
cyle}=\frac{4\pi\eta cyl-e}=\frac{4\pi\eta a V}{\ln(2a/b)-0.72}$ (slightly higher than ellipsoid).\\
For a face-on ellipsoid: $F_{\rm drag}^{\rm
ellf}\simeq\frac{8\pi\eta ell-f}\simeq\frac{8\pi\eta a V}{\ln(2a/b)-0.5}$.\\
For a face-on cylinder: similar to the face-on ellipsoid, but slightly higher.\\
As expected, the face-on bodies (where the motion is perpendicular to the long axis) encounter more resistance to motion than the end-on bodies -- roughly twice as much, depending on the dimensions. Doesn't this mean that, in steady-state, all the DNA will move in the longitudinal direction?