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Re: Math ahead

To: spridgets@autox.team.net
Subject: Re: Math ahead
Date: Wed, 4 Sep 2002 13:05:31 -0400
BACK IN THE GARAGE!!!  Obviously you haven't shifted your stick enough.
============================================

Date: Tue, 3 Sep 2002 10:39:00 -0700 (PDT)
From Ron Soave <soavero at yahoo.com>
Subject: Math ahead (was Re: Oil Cooler Hose Connections


Basically, the pressure drop is a defined by:

DeltaP = K * q

Looks a lot like V=I*R, right?  and it is...

q is the dynamic pressure, aka velocity pressure, aka
"dynamic head" (easy, Flounder...).  It is also .5 *
density * velocity squared/gravity.  So the velocity
squared term dominates.  What determines velocity?  

V=w/(density * flow area).  So as the area gets
smaller, the velocity gets higher at a given flow
rate.  The area is a function of diameter squared, and
the q is a function of the velocity squared, hence the
4th power relationship above.

So what is "k"?  It's a resistance factor, also a
function of geometry.  For a hose, K=4fL/d, where 4f
is the friction factor, L is the length of
tubing/duct/etc, and d is the effective diameter of
the duct.  So as d decreases, K increases, delta P
goes up.  Again, small diameter is not good.  

What about 4F?  f is equal to (.046)/(Re^.2).  And Re
is the Reynolds number, which is density X velocity X
diameter divided by viscosity.  Again, small diameter
= high velocity, equals high Re, equals high f, equals
more pressure drop.

Enough of that, keep the restrictions small, the
pressure DROP will be low.  

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