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Cato edited Payam.tex
almost 11 years ago
Commit id: 7f86b4333066bde71f2e139ddace491c11133114
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\item Same paper, page -- dimensional analysis. Try to do a better job than scaling argument: what are the coefficients? The fact that in the other paper they are off by some distance might be to do with this.
\begin{itemize}
\item I think $t_{\rm h}\sim \ell/c_{\rm s}$ on physical grounds, but Payam says $t_{\rm h}\sim \ell^2\rho/\eta$ from dimensional analysis. Are these compatible?
\begin{itemize}
\item Sound speed shouldn't depend on viscosity at all unless we are near supersonic flow.
\item \url{http://iopscience.iop.org/0370-1301/66/5/303/pdf/0370-1301_66_5_303.pdf}{Or does it?}
\end{itemize}.
\item Payam has (equation 12) $v_{\rm DNA}=F_{\rm ext} \ln(\ell/d)/\eta\ell - \lambda E\ln(1+r_{\rm D}/d)/\eta$, which we use to calculate $t_{\rm D}$. He finds $t_{\rm D}\sim \ell\eta/E\lambda$ -- whence this simplification?
\end{itemize}