Vortex models of plane turbulent flows
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V. L. Mironov
Abstract
We present the theoretical model of plane turbulent flows based on the previously proposed equations, which take into account both the longitudinal fluid motion and the vortex tubes rotation. Using the simple model of eddy viscosity, we obtain the analytical expressions for mean velocity profiles of stationary turbulent flows. In particular, we consider the near-wall flow as well as Couette, Poiseuille, and combined Couette-Poiseuille flows. In all these cases, the calculated velocity profiles are in good agreement with experimental data and results of direct numerical simulations.
Abstract
We present the theoretical model of plane turbulent flows based on the previously proposed equations, which take into account both the longitudinal fluid motion and the vortex tubes rotation. Using the simple model of eddy viscosity, we obtain the analytical expressions for mean velocity profiles of stationary turbulent flows. In particular, we consider the near-wall flow as well as Couette, Poiseuille, and combined Couette-Poiseuille flows. In all these cases, the calculated velocity profiles are in good agreement with experimental data and results of direct numerical simulations.
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- About the editors IX
- List of contributors XI
- Intermediate systems and invariants 1
- Folding in fluids 19
- Vortex models of plane turbulent flows 37
- Equations of dyon electromagnetic field 53
- Minimal action principle for gravity and electrodynamics, Einstein lambda, and Lagrange points 65
- Methods for constructing invariant conservative finite-difference schemes for hydrodynamic-type equations 83
- On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium 111
- Approximate solution of a boundary-value problem for a model of the far momentumless turbulent wake 125
- Analysis of overdetermined system that describes the special class of two-dimensional motion of an ideal fluid 135
- Discrete orthogonal polynomials: anomalies of time series and boundary effects of polynomial filters 143
- Index 165
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- About the editors IX
- List of contributors XI
- Intermediate systems and invariants 1
- Folding in fluids 19
- Vortex models of plane turbulent flows 37
- Equations of dyon electromagnetic field 53
- Minimal action principle for gravity and electrodynamics, Einstein lambda, and Lagrange points 65
- Methods for constructing invariant conservative finite-difference schemes for hydrodynamic-type equations 83
- On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium 111
- Approximate solution of a boundary-value problem for a model of the far momentumless turbulent wake 125
- Analysis of overdetermined system that describes the special class of two-dimensional motion of an ideal fluid 135
- Discrete orthogonal polynomials: anomalies of time series and boundary effects of polynomial filters 143
- Index 165
