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Structure of Lagrangian turbulence
A structure function describing the geometrical properties of Lagrangian turbulence is proposed. This function yields the asymptotic mixing properties of inertial range turbulence. The form of the structure function is deduced from Richardson’s particle dispersion law. Scaling relationships for the...
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| Published in: | Physics of fluids. A, Fluid dynamics Fluid dynamics, 1989-11, Vol.1 (11), p.1836-1843 |
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| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c350t-b210f8725e9eaa012eb5af59eacc9dd2a606d1d62d7a0cb848b7b8160f619ca93 |
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| cites | cdi_FETCH-LOGICAL-c350t-b210f8725e9eaa012eb5af59eacc9dd2a606d1d62d7a0cb848b7b8160f619ca93 |
| container_end_page | 1843 |
| container_issue | 11 |
| container_start_page | 1836 |
| container_title | Physics of fluids. A, Fluid dynamics |
| container_volume | 1 |
| creator | Viecelli, James A. |
| description | A structure function describing the geometrical properties of Lagrangian turbulence is proposed. This function yields the asymptotic mixing properties of inertial range turbulence. The form of the structure function is deduced from Richardson’s particle dispersion law. Scaling relationships for the mixing volume fraction, the surface area of boundaries between materials, and the chord lengths defined by the intersection points of a ray with material boundaries are obtained. Scaling laws are also deduced for the area fraction, perimeter length, and chord lengths in a two‐dimensional section, and for the trajectory of a single particle. The predictions for the two‐dimensional case have been verified in several examples of mixing, using data obtained from numerical integration of the Navier–Stokes equations. |
| doi_str_mv | 10.1063/1.857509 |
| format | article |
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A, Fluid dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Viecelli, James A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Structure of Lagrangian turbulence</atitle><jtitle>Physics of fluids. A, Fluid dynamics</jtitle><date>1989-11-01</date><risdate>1989</risdate><volume>1</volume><issue>11</issue><spage>1836</spage><epage>1843</epage><pages>1836-1843</pages><issn>0899-8213</issn><eissn>2163-5013</eissn><coden>PFADEB</coden><abstract>A structure function describing the geometrical properties of Lagrangian turbulence is proposed. This function yields the asymptotic mixing properties of inertial range turbulence. The form of the structure function is deduced from Richardson’s particle dispersion law. Scaling relationships for the mixing volume fraction, the surface area of boundaries between materials, and the chord lengths defined by the intersection points of a ray with material boundaries are obtained. Scaling laws are also deduced for the area fraction, perimeter length, and chord lengths in a two‐dimensional section, and for the trajectory of a single particle. The predictions for the two‐dimensional case have been verified in several examples of mixing, using data obtained from numerical integration of the Navier–Stokes equations.</abstract><cop>Woodbury, NY</cop><pub>American Institute of Physics AIP</pub><doi>10.1063/1.857509</doi><tpages>8</tpages></addata></record> |
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| identifier | ISSN: 0899-8213 |
| ispartof | Physics of fluids. A, Fluid dynamics, 1989-11, Vol.1 (11), p.1836-1843 |
| issn | 0899-8213 2163-5013 |
| language | eng |
| recordid | cdi_pascalfrancis_primary_19284487 |
| source | AIP Digital Archive |
| subjects | 640410 - Fluid Physics- General Fluid Dynamics ASYMPTOTIC SOLUTIONS CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY DIFFERENTIAL EQUATIONS EQUATIONS Exact sciences and technology Fluid dynamics FUNCTIONS Fundamental areas of phenomenology (including applications) LAGRANGIAN FUNCTION MIXING MOMENT OF INERTIA NAVIER-STOKES EQUATIONS PARTIAL DIFFERENTIAL EQUATIONS PARTICLES Physics RICHARDSON EQUATION SCALING LAWS STRUCTURE FUNCTIONS TRAJECTORIES TURBULENCE Turbulent flows, convection, and heat transfer TWO-DIMENSIONAL CALCULATIONS |
| title | Structure of Lagrangian turbulence |
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