Some Reflections on Waverider Design

by

Terence Nonweiler

Page Two

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The notion of a confined region of compression - implicit in my statement that "the shock wave ... remained attached to the leading edge" - is fundamental to the definition of a waverider and is responsible for its advantages over other wings. Even so, it is quite an unrealistic concept. It depends on the leading-edge being sharp (razor sharp if you like, but the qualification is redundant) and the shock wave being a surface of zero thickness. The perfect 'sharp edge' has never of course been made, and because of the effects of viscosity, all shock waves have a finite thickness. The "seal" between edge and shock wave can never therefore be complete. I don't get worried greatly by the shock thickness, because it is usually much smaller than the nose radius, and there are other effects of viscosity that have a greater significance (although still very small). However, if you think about 'sharp' leading edges, turn to ant picture of the USS Shuttle Orbiter. I can't believe it would make the slightest difference if its underside were recessed as if it were a waverider. Surely, with such gently rounded edges, it could never behave like one.

That is of course no kind of attempt to denigrate the Shuttle, which is an amazing and effective aircraft. But it belongs to the class of lifting bodies that rely on heat insulation to keep the interior structure and payload cool in hypersonic flight. The round edges are there to reduce the peak heating rate and so reduce the temperature reached to the insulation. The edges produce extra air resistance and therefore much of the heat generated at high speeds escapes into the wake, instead of being radiated away from the hot surface.

Waverider wings have indeed been tested with rounded edges. However, so far as I know, it is not a matter of common knowledge what the effects are, nor how these may be related to (say) the ratio of leading-edge radius to cord. Does that mean that we are merely amusing ourselves with a theoretical idea that has no reality - at least as applied to hypersonic flight? Put another way,if relatively sharp wing edges need to be used, how do we get rid of the peak in aerodynamic heating that occurs at that edge? Maybe if we are considering an aircraft that carries a cryogenic propellant, perhaps this could be circulated along the edges to remove the heat, though no doubt this would prove an expensive remedy. Yet is there really any other?

I have myself for a long time canvassed another possibility - that the edges should be constructed as a solid wedge of material that conducts the heat downstream. This spreads it over a wider area of the wing,from where it can be radiated away at a reduced temperature. There's also a device called a heat pipe that might be used. This achieves almost infinite conductivity by using a liquid that evaporates and recondenses in a closed cycle.The advantage of such methods of cooling is that they are passive, as distinct from active methods that depend on pumping coolants.

My own interest in conduction-assisted cooling in fact predates my work on waveriders. From time to time, I have published sets of calculations of what can be achieved and other people confirmed these quite independently. At Glasgow University we undertook a set of laboratory experiments that demonstrate the principle. Yet I have to admit that, despite this, most people still simply do not seem to believe in the idea. Certainly at very high flight speeds, this form of cooling can only be successfully applied to the highly swept edges of lightly loaded wings. In my study of the reentry vehicle last year, I purposely chose a low wing loading of 15lb/sq.ft. to reduce the heating rate so that conduction could cope. It would not have been adequate if the wing loading were several times this figure (as it is for the Shuttle Orbiter). In many applications of hypersonic flight, there might be good reason why it might not be either practical, or desirable, to use a low wing loading. Yet sometimes the only 'reason' lies merely in a habit of mind.

I hope I have said enough to show that there is more to the choice, or indeed rejection, of a waverider design than first meets the eye. A great deal of work has been performed over the years to prove the effectiveness of the idea, but much - of great interest, but difficulty - still remains.

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Date Last Modified: 31 07 1999