Equations relating structure functions of all orders

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relating structure functions of all orders Reginald

The hierarchy of exact equations is given that relates two-spatial-point velocity structure functions of arbitrary order with other statistics. Because no assumption is used, the exact statistical equations can apply to any flow for which the Navier-Stokes equations are accurate, and they apply no matter how small the number of samples in the ensemble. The exact statistical equations can be use...

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Fe b 20 01 Equations relating structure functions of all orders

The hierarchy of exact equations are given that relate two-spatial-point velocity structure functions of arbitrary order with other statistics. Because no assumption is used, the exact statistical equations can apply to any flow for which the Navier-Stokes equations are accurate and no matter how small the number of samples in the ensemble. The exact statistical equations can be used to verify ...

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- dy n ] 1 6 Fe b 20 01 Mathematics of structure - function equations of all orders

Exact equations are derived that relate velocity structure functions of arbitrary order with other statistics. “Exact” means that no approximation is used except that the Navier-Stokes equation and incompressibility condition are assumed to be accurate. The exact equations are used to determine the structure-function equations of all orders for locally homogeneous but anisotropic turbulence as ...

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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2001

ISSN: 0022-1120,1469-7645

DOI: 10.1017/s0022112001003949