Mailing List flyrotary@lancaironline.net Message #3314
From: Russell Duffy <13brv3@bellsouth.net>
Subject: more (interesting but useless) turbo math
Date: Wed, 24 Sep 2003 20:25:49 -0500
To: 'Rotary motors in aircraft' <flyrotary@lancaironline.net>
Message
 Still have the old turbo bug but haven't run it in 8 years as I have an airplane to fly now.

 Ken Welter 
 
Are we going to have to call you Herbie now :-)  
 
Thanks for the real world (if you can call 100" MAP real world) failure modes.  Hopefully, I'll be a little safer at half that.
 
 
And now, for more turbo math.  With all the talk of intake temps, I was wondering just how hot the mixture gets when the engine compresses it before ignition.  My thought was that a 100 degrees could be small potatoes by comparison.  Calling on all of my vast memory from Physics about an eon ago, I searched internet until someone handed me the formula on a silver platter :-)
 
The formula is:  (intake temp in Kelvin) * (compression ratio) ^ (gamma -1)
 
gamma is listed as 1.4 for gas engines.
 
For a 90F day, and 9.7 cr, we have  305 * 9.7 ^.4 = 757 K or  903 degrees  F (ouch)
 
At first, I though this was good news, until I found out that raising intake temp 100 degrees, raises the compression temp much more than 100. 
 
At my 5 psi intake temp of 214, the compression temp is 1210 F.
 
This is all interesting, but doesn't tell me diddly.  First, the actual intake temp is probably a good bit lower, since fuel atomization will lower the charge temp from what we measure before the throttle body.  Second, octane, timing, mixture and engine cooling have a large part to play in where detonation will occur.  
 
The lesson to be learned here is that you should just delete my posts when you see them :-)
 
Cheers, 
Turbo Rusty 
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