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Energy Spectra of Interacting Quantized Vortex Configurations

SPRINGER
03 / 2026
9783032167705
Inglés
Springer Theses

Sinopsis

This book is a significant advance towards a general theory of turbulence. It can help to describe and control the turbulent flows that make a vital contribution to the transport of chemical species and heat that is itself a key concept of chemical engineering. Energy Spectra of Interacting Quantized Vortex Configurations helps both scientists and engineers studying turbulent flows to gain a physical understanding of their key features using the motion and interactions of vortices. The author shows how superfluid turbulence research can be imported into numerical calculations of Navierndash;Stokes turbulence to generate results of interest to readers with both classical and quantum-theoretic backgrounds. By using Lagrangian vortex dynamics, the book shows directly that vortex stretching in Navierndash;Stokes fluids induces both energy transfer to smaller scales and the Kolmogorov scaling. The approach is also applied to vortices in the linear Schrouml;dinger equation, showing that even without vortex stretching, the Kolmogorov scaling appears as a consequence of Kolmogorov dimensional arguments. The algorithms and information flowcharts used to develop the research presented are explained.