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This book covers a new approach to analyzing hydrodynamic stability.With the use of standard remedies of functional analysis, theory of boundary value problems and infinitesimal Lie algebras, it is shown in the book that large vortex mushrooms of an ideal incompressible fluid in a vertical strip behind a water hammer proves to be 2D (plane-parallel) nonlinear (for arbitrary disturbances of initial velocities) and long wave stable. It is one of the many examples provided in the book discussing hydrodynamic stability
Hydrodynamics --- Stability --- Fluid dynamics
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This book contains a collection of the main contributions from the third edition of the NICFD conference, organized by the Special Interest Group on Non-Ideal Compressible Fluid Dynamics (SIG-49). It provides insight on the latest research findings in the field of NICFD that are relevant to a number of engineering applications related to the conversion of renewable and waste energy sources, like organic Rankine cycles, supercritical CO2 cycle power plants, combustors operating with supercritical fluids, and heat pumps. The various chapters of the book document research encompassing theoretical, computational, and experimental aspects of the gas dynamics of non-ideal reactive and non-reactive flows and their impact for the design of internal flow components (turbomachinery, heat exchangers, combustors). Since the accurate calculation of fluid thermo-physical properties is of great concern in NICFD, all the chapters address this problem by describing state-of-the-art models for the characterization of the properties of pure fluids and mixtures.
Fluid mechanics. --- Engineering Fluid Dynamics. --- Hydromechanics --- Continuum mechanics --- Fluid dynamics
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Fluid dynamics. --- Hydrodynamics. --- Fluid dynamics --- Dynamics --- Fluid mechanics
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Fluid dynamics. --- Hydrodynamics --- Data processing. --- Fluid dynamics --- Dynamics --- Fluid mechanics
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This Element presents a unified computational fluid dynamics framework from rarefied to continuum regimes. The framework is based on the direct modelling of flow physics in a discretized space. The mesh size and time step are used as modelling scales in the construction of discretized governing equations. With the variation-of-cell Knudsen number, continuous modelling equations in different regimes have been obtained, and the Boltzmann and Navier-Stokes equations become two limiting equations in the kinetic and hydrodynamic scales. The unified algorithms include the discrete velocity method (DVM)-based unified gas-kinetic scheme (UGKS), the particlebased unified gas-kinetic particle method (UGKP), and the wave and particle-based unified gas-kinetic wave-particle method (UGKWP). The UGKWP is a multi-scale method with the particle for non-equilibrium transport and wave for equilibrium evolution. The particle dynamics in the rarefied regime and the hydrodynamic flow solver in the continuum regime have been unified according to the cell's Knudsen number.
Aerodynamics. --- Aerospace engineering. --- Fluid dynamics.
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