One, additional thing might be worth porting out is that with the vector
quantity Vb = Vi +Vt with Vt the component tangential to the face of the
core - as you might imagine, you don't get a lot of cooling contribution due
to Vt, as theoretically it doesn't contribute (much) to the flow through the
core (at least that is how I read it).  Therefore the condition where vb =
vi with vt = 0 probably means maximum cooling effect from the air flow which
(one reason) is why straight in flowing ducts (where Vb = Vi) cool better
than one with twists and turns.

Ed
--------------------------------------------------
From: "Ed Anderson" <eanderson@carolina.rr.com>
Sent: Sunday, September 11, 2011 6:08 PM
To: "Rotary motors in aircraft" <flyrotary@lancaironline.net>
Subject: [FlyRotary] Re: K & W Konfusion

Hi Charlie,

Having pulled my hair out over some things in Chapter 12 of K& W,  I can
empathize.  Let me see if I can help you with this particular question.

As you know, Vb is a vector quantify having both magnitude and direction
and here is composed of two vector quantities:  Vi - (vector  in line or
incident with the core)  and Vt (vector tangential to the face of the
core). In this case ( a special case of the straight duct) Vt = 0.  No,
the first chapter does NOT spell this out, so you did not miss it, but
when you examine figure 12.6  you will see it.

In your first reference the Vt value = 0 (they do not point this out) and
Vb is therefore equal solely to Vi (or the vector  parallel to the duct,
straight into the core).  So here Vb = Vi because Vt = 0, straight duct
condition only.

Now in figure 12.6 the incoming oblique air flow does have two components
(Vi and Vt) relative to the orientation of the block - Vt is not zero here
and of course neither is Vi.  So Vb = Vi + Vt.  If you have a good copy
and look carefully you can see that at the bottom of the vector triangle
it shows Vb as the vector sum of Vi and Vt- and Vb is pointed in the
direction of the airflow through the core (or parallel to the holes
through the core or perpendicular to the core face).

If you look at figure 12-7, the same vector combination is there and a
bit easier to see.   So in effec,t your first reference to Vb in chapter
12 is a special case of the overall vector components of the airflow (Vi
and Vt) except in that case Vt = 0 and Vb = Vi.

So it is probably more correct to say that Vb is the vector sum of the
incident and tangential vectors of airflow  or Vb is the vector expression
of the airflow through the core.

What is missing in figure 12.6 is the showing the vector sum of Vb AFTER
it exits the core.    If they did, what you would probably see is Vt much
smaller or zero and Vb = Vi (since the duct is straight after the core).
So if the vector sum on the one side of the core is Vb then it will also
be Vb on the opposite side of the core - however the values of the vector
components vi and vt will be different (if not a straight duct) - but
their sum will remain the same - vb.

At least that is the way I read it - and no, I've never found and K&W for
dummies - if you do please let me know.


Dummy Ed

Edward L. Anderson
Anderson Electronic Enterprises LLC
305 Reefton Road
Weddington, NC 28104
http://www.andersonee.com
http://www.eicommander.com


--------------------------------------------------
From: "Charlie England" <ceengland@bellsouth.net>
Sent: Sunday, September 11, 2011 3:13 PM
To: "Rotary motors in aircraft" <flyrotary@lancaironline.net>
Subject: [FlyRotary] K & W Konfusion

Anyone else having problems interpreting K & W's chapter 12 on cooling?

I confess to only having available (downloaded) chapters  on inlets &
cooling, but their use of terms is a bit hair-pulling for me. For
instance, VsubB is defined on the 1st page of the chapter as 'velocity of
the air ahead of the block' & diagrammed that way in fig 12-1, then it's
apparently diagrammed as the velocity *leaving* the cooling block in fig
12-6. And quite a few of the terms don't seem to be defined at all (this
may be due to my failure to take a physics course in college, & the 30+
year interval since my one semester of Calculus...).

If there's a 'K&W for Dummies' book, please recommend a source...

Charlie

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