A FLOW PATTERN AT HIGH SUBSONIC SPEEDS PAST A WEDGE AT INCIDENCE IN A FREE STREAM AND A CHOKED CHANNEL,
ROYAL COLL OF SCIENCE AND TECHNOLOGY GLASGOW (SCOTLAND)
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In the paper it is shown that the type of free stream singularity in the hodograph plane has an essentially different character from that at zero angle of attack, as a consequence of which the wedge profile is somewhat distorted and a perturbation type of analysis is unsuitable. In the present paper, using a formulation in terms of dual integral equations, an investigation is made of the model previously studied by Willmarth. An extension of the model is also made to the case of the flow past a wedge profile at a small angle of attack in a channel with parallel walls such that the sonic lines from the shoulders extend normally to and completely across the channel to choke the flow, and the restrictive effect of the channel walls is determined. The boundary value problem is formulated in general terms for a flow in an unchoked channel with different high subsonic velocities far upstream and downstream. The analyses for the flow in a free stream or a choked channel then follow as two special cases of this general statement. They will be discussed in Part I and Part II respectively of the paper. In the former it will be found that the integral equations degenerate to give a simple solution in the latter a full solution is obtained by means of an iterative procedure.