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Cato edited Payam.tex
almost 11 years ago
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\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?
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No! They are measuring different things. Payam's $t_{\rm h}\sim \ell^2\rho/\eta$ is considering the diffusion of momentum information about a particle (I think this is the characteristic time in the decay of the velocity autocorrelation). My $t_{\rm h}$ is about pure information flow.
\item Sound speed shouldn't depend on viscosity at except for near-supersonic flow. (\href{http://iopscience.iop.org/0370-1301/66/5/303/pdf/0370-1301_66_5_303.pdf}{Or does it?} \href{http://www.engineeringtoolbox.com/sound-speed-water-d_598.html}{Speed of sound table}, \href{http://resource.npl.co.uk/acoustics/techguides/soundpurewater/content.html#LUBBERS}{$c(T,P)$
fits}. fits}.)
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