The turbulent potential flow
Abstract
The mean velocity of a turbulent field flow is investigated to show that the field is irrotational under certain conditions of fluid flow. The averaging process is performed according to the Reynolds rules, and Reynolds stresses appear in the usual way. The fundamental equations in the classical sense are established, and stress components are assumed to be derivable from three stress functions. The approach implies that the resultant forces per unit volume acting on the element are derivable from one function, and the mechanical energy equation is obtained as a mathematical consequence of the equation of motion. Results show that the pressure may act as a storage of turbulent energy, with the storage emptied and filled as the turbulent energy changes. An appropriate Bernoulli equation is also demonstrated.
 Publication:

Deutsche Gesellschaft fuer Luft und Raumfahrt
 Pub Date:
 May 1981
 Bibcode:
 1981dglr.meetS....P
 Keywords:

 Computational Fluid Dynamics;
 Flow Velocity;
 Potential Flow;
 Reynolds Stress;
 Turbulent Flow;
 Bernoulli Theorem;
 Equations Of Motion;
 Flow Distribution;
 Incompressible Flow;
 Inviscid Flow;
 Fluid Mechanics and Heat Transfer