[NatureNS] alluvial deposits

Date: Fri, 07 Dec 2007 10:49:28 -0400
From: annabelle <hamst@xplornet.com>
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Hi Dave, 

It appears that the exponents are screwed up, at least in the message 
that came back to us.  If it's unreadable or too confusing let me know 
and I'll rewrite with a more literal notation.

Martial

annabelle wrote:
> Hi Dave,
>
> Here’s a back-of-the-envelope dimensional analysis that crudely 
> explains why transported particle mass M is proportional to the sixth 
> power of fluid velocity V:
>
> The force of the flowing water is reasonably proportional to the 
> cross-sectional area of the particle, which is M^2/3. The force is 
> also proportional to the square of the velocity (highschool physics 
> conservation-of- momentum). So now you have force ~ (V2 ) (M^2/3) .
>
> To transport the particle you reasonably need the force to be of the 
> order of magnitude of the mass, i.e. proportional to the mass. So M ~ 
> (V2 )( M^2/3), or M ~ V6.
>
> I hope these exponent notations go through ok.
>
> Regards, Martial Thiebaux

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