Flow and Exit
rv6ejguy said:
A 3 inch duct will flow over 700 SCFM at 180 mph and SL, 4 inch, over 1300, suggesting that a 3 inch duct, properly routed and kept short will easily feed this heat exchanger with the required mass flow. (snip)Exits are just as important as inlets.
Two good points, keep duct short (I like hanging the cooler off the engine mount), exit shrouds or ducting round or on the cooler exit towards a known low pressure area under cowl can improve flow.
As far as 3" SCAT flowing 700 CFM in an oil cooler installation in an airplane I think that is optimistic by a factor of two. It has no meaning out of context of an oil cooler installation/system.
Question how did you come up with your numbers: test or analysis?
What Reynolds Number did you use?
What delta pressure did you assume?
What Duct Roughness factor did you use?
What flow characteristics did you assume?
What velocity did you use? (it is not 180MPH)
(The velocity just inside the cowl will be 30% the external flow)
(So at 180mph flow goes right to 50mph at inlet and than less going aft)
(Air velocity at the rear baffle is near zero, like running with a paper bag)
From flight test NASA did for air-cooled engines:
From flight test you have 30%-42% less pressure from the front to the back of the baffle. To add insult the air is hotter. In a perfect world at 175MPH you would see 9.8in-H2O at the rear baffle. This is assuming you have 100% pressure recovery at the front of the cowl (not likely). From SW's specs at 9.8 in-H2O you can flow 498 CFM. Magic, right near its optimum.
The mass flow thru the (6 cyl-horz Lyc) engine used in the flight test, was 310CFM. The pressure drop across the engine was 6 in-H2O at 310CFM. The oil cooler flows 360CFM at 6 in-H2O.
WHAT DOES IT MEAN? You have just enough air volume and pressure at the back of the baffle at cruise to get the job done (max heat rejection the cooler can offer). To neck air down to a 3" tube (14 in-sq), shove it thru the rough tube and transition back to a rectangular area of 27-inch square (the face of the cooler) is abrupt, even with a good diffuser. A 4" tube has almost the same area and circumference and fits well in the coolers rectangular outline (approx 6" X 4.5"). The length is not as much the factor it is the transitions.
You might conclude a big rectangular hole in the baffle and bolting it direct would work. IT does but two big problems: Vibrations shake the hell out of it and cracks the baffle and/or cooler; The air flow in and near the rear cylinder and top of plenum/cowl make for poor air flow direction. (Remember air is flowing down between the rear cylinders and baffle, not aft.) That is why a duct smooths and directs the flow. Air aimed and aligned with the cooler fins helps. IF you MUST bolt the cooler to the baffle, make a little tunnel or plenum off set aft to give a vol of air in front of the cooler, moving it away from the rear cylinder.
Note when you climb you will have lower airspeed (dynamic pressure) and even less of the total pressure makes it to the rear baffle (poor airflow pattens in climb angles). You have 1/2 the air in a 120MPH climb than in cruise. Thats why step-climbs do wonders for the OT.
The larger 4" duct also act as a reservoir, has slower velocity and is less turbulent. This improves the entrance of air into the cooler. A smooth duct of the same size flows more than a SCAT with less loss. So if you use a 3" duct consider a smooth ID Vs. a SCAT.
3" will work, 4" will work better and get the optimal performance from a SW cooler. I understand room is tight sometimes, but I would go to the largest size I could, even a 3.5 might be a good compromise if space is limited, using a duct with a smooth ID wall.
Cheers George