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Turbulence Nature and the Inverse Problem

L. N. Pyatnitsky

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28 October 2010
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1 The turbulence problem: 1.1 The first interpretation; 1.2 The next approaches; 1.3 A new approach;2 Fluid motion: 2.1 Equations of fluid motion; 2.2 Vorticity; 2.3 Wave equation and incompressibility conditions;3 Distribution of parameters in viscous flow: 3.1 Velocity profiles in a flow cross-section; 3.2 Hypothesis on pressure profile in a flow cross-section; 3.3 Correction of the pressure profile;4 Perturbations in viscous flow: 4.1 Fluid motion from the start ; 4.2 Simple wave and wave beam; 4.3 Origin of pressure perturbations;5 Perturbation in channels: 5.1 Perturbations in semi-infinite space; 5.2 Perturbation waves in flow; 5.3 Distortion of the wave packets in channels; 5.4 The wave packet in the boundary layer;6 Spatio-temporal field of perturbations in channels: 6.1 Computing technique of wave configuration in channels; 6.2 Wave front configuration in channels; 6.3 Structure of flow perturbations in channels;7 Evolution of velocity oscillation field: 7.1 Oscillations of flow parameters produced by a wave; 7.2 Spatio-temporal field of oscillations in a wave sequence; 7.3 Chaotization of a spatio-temporal field;8 Experimental substantiation of the wave model: 8.1 Structure of a simple wave; 8.2 Boundary layer separation and flow perturbations; 8.3 Distribution of oscillations in flow cross-section;9 Transition from normal combustion to detonation: 9.1 Short history of the problem; 9.2 Exposition of flame propagation in the pipe; 9.3 Initial stage of the flame propagation; 9.4 Uniform flame propagation and second acceleration; 9.5 Formation of detonation wave;10 An inverse problem of turbulence: 10.1 Object of the inverse problem application; 10.2 Wave beam at Rayleigh divergence compensated; 10.3 Structures of plasma channels in lengthy wave beams; 10.4 Breakdown structures at the short heating impulse; 10.5 Formation of complex structures of the plasma channel;Conclusion; References; Index

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Turbulence Nature and the Inverse Problem

$298.00

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1 The turbulence problem: 1.1 The first interpretation; 1.2 The next approaches; 1.3 A new approach;2 Fluid motion: 2.1 Equations of fluid motion; 2.2 Vorticity; 2.3 Wave equation and incompressibility conditions;3 Distribution of parameters in viscous flow: 3.1 Velocity profiles in a flow cross-section; 3.2 Hypothesis on pressure profile in a flow cross-section; 3.3 Correction of the pressure profile;4 Perturbations in viscous flow: 4.1 Fluid motion from the start ; 4.2 Simple wave and wave beam; 4.3 Origin of pressure perturbations;5 Perturbation in channels: 5.1 Perturbations in semi-infinite space; 5.2 Perturbation waves in flow; 5.3 Distortion of the wave packets in channels; 5.4 The wave packet in the boundary layer;6 Spatio-temporal field of perturbations in channels: 6.1 Computing technique of wave configuration in channels; 6.2 Wave front configuration in channels; 6.3 Structure of flow perturbations in channels;7 Evolution of velocity oscillation field: 7.1 Oscillations of flow parameters produced by a wave; 7.2 Spatio-temporal field of oscillations in a wave sequence; 7.3 Chaotization of a spatio-temporal field;8 Experimental substantiation of the wave model: 8.1 Structure of a simple wave; 8.2 Boundary layer separation and flow perturbations; 8.3 Distribution of oscillations in flow cross-section;9 Transition from normal combustion to detonation: 9.1 Short history of the problem; 9.2 Exposition of flame propagation in the pipe; 9.3 Initial stage of the flame propagation; 9.4 Uniform flame propagation and second acceleration; 9.5 Formation of detonation wave;10 An inverse problem of turbulence: 10.1 Object of the inverse problem application; 10.2 Wave beam at Rayleigh divergence compensated; 10.3 Structures of plasma channels in lengthy wave beams; 10.4 Breakdown structures at the short heating impulse; 10.5 Formation of complex structures of the plasma channel;Conclusion; References; Index

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