Mailing List flyrotary@lancaironline.net Message #5554
From: Ed Anderson <eanderson@carolina.rr.com>
Subject: Wedge Shaped Ducts
Date: Thu, 29 Jan 2004 10:34:45 -0500
To: Rotary motors in aircraft <flyrotary@lancaironline.net>
Ken
 
    Here is all I have been able to find at this time regarding "wedge" diffusers.  There are two postulated approaches in K&W.  One assumes that the wedge or oblique duct losses are the same as a straight duct until a certain inlet/core area (or angle) ratio point is reached at which point an additional (and severe) loss factor occurs.  The second approach assumes that the loss due to obliqueness is there for any angle (or area ratio) , it just becomes significant at a critical angle or ratio. Regardless, they both refer to the critical area ratio as Ai/Ab critical = 1/(1+Kpo)^(1/2).  Kpo is the pressure drop for your specific core and Ai is inlet area and Ab is core area.  So unfortunately you need to do some more digging to estimate the Kpo for your partcicular core.
 
It appears that the more severe the angle is the more inlet area is required to reduce these severe losses.  However, again use of the streamline duct profile appears to reduce this requirement. Attached is a rather poor quality diagram of the comparison of a oblique (wedge) duct with straight walls which shows the opening as 0.44 of the core area or 0.44Ab.  This is compared to the use of  a 0.20Ab ratio for streamline ducting (note the small "kick out" of the duct at the upper corner of the duct/core interface).  The angle noted at the top is 64 degrees (or 90-64 = 26 deg  between duct wall and core).  Note when using the streamline duct profile the inlet can apparently be reduced to 0.20Ab vice 0.44Ab (for the straight wall duct) with "....about the same losses".  So using the streamline duct profile permits an inlet of nearly 1/2 the size of the straight duct. 
 
Further a quote regarding the diagarm "..In the case shown, the upper wall has a slight inflection so that the excessively high angle of deflection at the upper part of the duct/core interface is avoided.  It was found that the losses were again about the same as the symmetrical streamline diffuser in figure 12.8".  So if I am interpreting this correctly, it appears that you can have an oblique duct without severe losses provided attention is paid to the critical Ai/Ab ratio.  Lacking the specific KPO value for your radiator, the only thing I can suggest is to keep your duct angle to 26 deg (or more) and your Ai/Ab ratio at 0.20 or above.
 
Now, whatever study there is out there (I could not find anything on the web) about Wedged ducts may have a different spin on the topic than I presented here, but this is all I could come up with at the moment.
 
Will let you know if I find any more on it. Hope this helps some.
 
Ed
 
Ed Anderson
RV-6A N494BW Rotary Powered
Matthews, NC
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