## Abstract

The passive advection of a scalar quantity by a random velocity field is a problem encountered in a wide variety of situations like mass, charge and heat transport in turbulent fluids, dispersion in porous media, Of particular interest is the long-time large-scale dynamics of the scalar. In this work we use a combination of multiscale and projection techniques for analyzing the advection of a scalar by a random velocity field whose ensemble-average is periodic in space. General expressions relating the scalar transport to the properties of the flow are obtained. The method is applied to the analysis of scalar advection in a turbulent flow generated by a lattice gas automaton and whose ensemble-average is a two-dimensional ABC type flow.

Original language | English (US) |
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Pages (from-to) | 183-186 |

Number of pages | 4 |

Journal | Fluid Mechanics and its Applications |

Volume | 46 |

DOIs | |

State | Published - 1998 |

## Keywords

- Liouville Equation
- Multiscale Theory
- Projection Technique
- Scalar Transport
- Turbulent Fluid

## ASJC Scopus subject areas

- Mechanics of Materials
- Mechanical Engineering
- Fluid Flow and Transfer Processes