Springer New York Dordrecht Heidelberg London, 2012. – 144 p. – ISBN: 1461402565.The subject of this book is the physics of vortices. A detailed analysis of the dynamics of vortices will be presented. The important topics of vorticity and molecular spin will be dealt with, including the electromagnetic analogy and quantization in superfluids. The effect of molecular spin on the dynamics of molecular nano-confined fluids using the extended Navier-Stokes equations will also be covered –especially important to the theory and applicability of nanofluidics and associated devices. The nanoscale boundary layer and nanoscale vortex core are regions of intense vorticity (molecular spin). It will be shown, based on molecular kinetic theory and thermodynamics, that the macroscopic (solid body) rotation must be accompanied by internal rotation of the molecules. Electric polarization of the internal molecular rotations about the local rotation axis –the Barnett effect – occurs. In such a spin aligned system, major changes in the physical properties of the fluid result. Contents The Vortex Brief History Kinematics Forces (Lift, Drag, Thrust, and Torque) on Moving Submerged Bodies Due to Vortex Formation Some Other Kinds of Simple Vortices Concluding Remarks Vorticity (Molecular Spin) Introduction Generation of Vorticity Generation by Shock Waves Generation by Free Convective Flow and Buoyancy Generation by Baroclinic Effects The General Vorticity Equation Viscous Diffusion of Vorticity Hill’s Spherical Vortex Vorticity in Rotating Frames of Reference Atmospheric Fluid Motion and Vorticity Dissipation Function, Vorticity Function, and Curvature Function (Eddy or Vortex Motion) Generation of Vorticity in a Viscous Boundary Layer: Precursor to Turbulence Typical Vorticity Distributions Vorticity in a Compressible Fluid Vorticity and the Electromagnetic Analogy Quantization of Circulation and Vorticity Quantized Vortices in He II The Nanoboundary Layer and Nanovortex Core Introduction Kinetic Theory of the Vortex Core Gas Effect of Local (Macroscopic) Rotation of the Gas Transport and Optical Properties of the Core Gas Electric (Barnett) Polarization in the Boundary Layer Electric Charge–Dipole Interaction Concluding Remarks Nanoduct Fluid Flow Introduction Kinetic Theory for Fluid Transport Parameters Molecular Dynamics and Monte Carlo Simulation Diffusion in Nanochannels Electrokinetics in Nanochannels Slip Flow in Nanoducts Water Flow in Nanochannels Molecular Spin in Nanoduct Fluid Flow Nanoscale Forces Theoretical Analyses Overview of Phenomena Occurring at the Nanoscale The Field of Nanofluidics
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