Coupled twin conical funnels or conical hoses: an internal process of dynamic flow distribution

Abstract

The first objective of this study is to revisit an analytical test by the author that helps now for a prediction and explanation for the likely physical existence of twin funnels in the fluid crossed by shock wave, under certain conditions. These funnels function like a conical hose within shock waves traveling through matter. In terms of the laws of continuity, momentum, and energy the classical shock wave model is empowered with a not widespread actual function that explains a nonlocal physical phenomenon of matter distribution. The second objective is the recognition and application of two almost new analytical boundary conditions V1S = −V1 and 1 1 M S = iM , provided in the recent past that open the theory to the, at least, analytical existence of hoses or coupled twin funnels. Finally, given that supersonic and hypersonic solid cones are related to theoretical, experimental, natural, aeronautical, astronautical, geophysical and industrial interests, among others, certain analytical regions derived from this recently characterized formulation are shown and hoses or twin funnels located among them. These regions can be visualized on the plot of cone angle, shock angle, and free-stream Mach number for analogy, comparison, and prediction.

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