Paradoxes in Aerohydrodynamics / Mathematical Engineering (PDF)

This book, on the general topic of hydroaerodynamics, investigates a
number of exciting applications in this field, addressing specifically issues
that allow seemingly paradoxical issues to be dealt with.

The first part is devoted to the study of channel flows, in particular
the lateral flow of a viscous and viscous-plastic liquid in a ring channel
formed by coaxial cylinders. Specifically, the problem of dissipation of
mechanical energy in channel flows of highly viscous liquids is addressed and
solved. Furthermore, the mechanism leading to hydrodynamic erosion in
intra-field pipelines (known as "channelized effect") is identified.
Subsequently, a theory for channel flows with mass transfer through porous walls
is developed.

In the second part, viscous liquid free flows (jets) are investigated.
In particular, a dispersion law for turbulent flow is derived and the existence
of dynamic invariance in wake flows of variable density is demonstrated.

The third part presents new insights from both theoretical and
experimental research into concentrated vortex structure formation and
development. The conditions for the existence of Taylor-Goertler vortices are
determined and the mechanism for their formation is described. Last but not
least, the theory of vortex rings, a particularly interesting problem in
hydroaerodynamics, is introduced in the last section of this book.

Care has been taken, when selecting original theoretical problems of
interest, to make the link with related topics in the published literature. At
the same time, all experimental research described in this book is given a
meaningful physical interpretation and corroborated by suitable theoretical
models and computations.