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Math ahead (was Re: Oil Cooler Hose Connections

To: wsthompson@thicko.com
Subject: Math ahead (was Re: Oil Cooler Hose Connections
Date: Tue, 3 Sep 2002 10:39:00 -0700 (PDT)
Cc: Spridgets@autox.team.net
--- "Wm. Severin Thompson" <wsthompson@thicko.com>
wrote:
> Ron (Grasshopper...the Unlearned One) is no doubt
> sitting in his newly
> purchased racecar in his garage, making vroom vroom
> noises, with the wrong
> stick shift in his hand...

Grasshoppah back from walking on rice paper without
leaving mark...

This is all from memory, so no one bitch if I leave
out a few things.  Pressure drop - the resistances
need to be considered in series.  Glen is correct that
small fittings will control the resistance, but small
lines + small fittings is worse than large lines +
small fittings.  To figure the difference, take
diameter 1 and raise it to the 4th power.  Take
diameter 2, raise it to the 4th power it.  Divide one
by the other - that's your difference.

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.  



> 
> 
> ----- Original Message -----
> From: "Geoff Branch" <gjbranch@attbi.com>
> To: "Paul A. Asgeirsson"
> <Pasgeirsson@worldnet.att.net>;
> <JARplanner@aol.com>
> Cc: <Spridgets@autox.team.net>
> Sent: Tuesday, September 03, 2002 7:19 AM
> Subject: Re: Oil Cooler Hose Connections
> 
> 
> > Now, I have been thinking about this.  The
> pressure of a system has
> nothing to
> > do with the size of a system.  It has to do with
> the SMALLEST restriction
> within

=====
Ron Soave
1960 Bugeye
1958-ish Bugeye  Racecar
1970 Midget
1996 Labrador Retriever
2002 F-150 tow vehicle

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