Energy dissipation bounds for flows in pipes and past bodies of general geometry

Abstract The problem considered can in general be described as the problem of proving rigorously that as the Reynolds number of a fluid flow tends to infinity, the drag coefficient remains bounded. It has been proven for flows in domains of certain, rather restrictive, set of geometries, but not in general. The drag is the sum of the pressure drag and friction drag. In essence, this paper gives a proof that the friction drag coefficient does remain bounded. Rather nontrivial implications of this result are discussed.