Accession Number : AD0605364

Title :   A REPRESENTATION OF ROTATION AND CURVATURE IN FLUID FLOWS AND CONNECTION WITH VORTICITY AND DISSIPATION,

Corporate Author : CALIFORNIA UNIV BERKELEY INST OF ENGINEERING RESEARCH

Personal Author(s) : Lieber,Paul ; Yajnik,Kirit

Report Date : 11 MAR 1964

Pagination or Media Count : 8

Abstract : The report attempts to show connections between vorticity, the rotation of a line element, the curvature of a streamline, and dissipation in viscous fluid flows. A tensor of third rank is shown to determine the angular velocity of a differential element of a filament (curve) of a moving material, if the current direction of the differential element is known. The same tensor determines the curvature of streamline at a point, if the velocity of the fluid at that point is given. Dilatation does not influence the tensor. The dissipation function of an incompressible Newtonian fluid can be expressed in terms of its second order invariants. The report also includes other properties of the tensor such as algebraic properties. (Author)

Descriptors :   (*FLUID FLOW, TENSOR ANALYSIS), ROTATION, INCOMPRESSIBLE FLOW, VORTICES, TURBULENCE, MOTION, VELOCITY, ALGEBRA

Distribution Statement : APPROVED FOR PUBLIC RELEASE