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For the insulation... would it be enough to have the duct made of material that doesn't transfer heat well (fiberglass molded into the shape of a duct but made an integral part of the body panels), or would it be necessary to actually insulate it?
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Your guess is as good as mine. It would involve the temp differential, length of the duct and the thickness and thermal performance of the material.
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My plan was to make the ducts go down under the bottom of the bike. I'm not sure if the cross-over section could be made common between the two ducts (instead of two distinct and overlapping ducts)... it would seem it could be, since the air flow wouldn't really want to change direction very easily, it'd continue on to the opposite side of the cross-over section and out the opposite side of the bike.
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Have you settled on a cross-section area for the ducts? The cross-over might be between the front wheel and the frame/engine, but I don't see this not increasing the frontal area of the overall shape.
Air responds to velocity
and pressure. It can be made to reverse direction. In some circumstances, you might see air entering one nostril and exiting the other (high cross-wind and back-pressure from the radiators) with a common section.
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The reason I put the vertical exit slits (I suck at anything artistic, so the drawing is understandably very rough) just past the widest part of the bike is because it sort of acts like an atomizer nozzle (venturi effect)...
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It's understandable. Consider the Coanda nozzle. Totally different shape.
The exit should be tangent to the surface and pointed backward.