A new theory of turbulent flow in a pipe
Abstract
A new theory of turbulent shear flow is based on the discovery of a second boundary layer, which we call the viscous mesolayer. The existence of this layer between the core and the sublayer makes it impossible to match the outer (core) expressions for mean quantities with the inner expressions based on Prandtl's 'law of the wall', as in classical theory. Indeed, the supposed region of applicability of the classical theory, namely the layer in which both inner and outer behaviors are imposed, is precisely in the mesolayer where either behavior may be imposed. The mesolayer concept is used to develop a new theory of the distribution of mean quantities in pipe flow. Solutions are obtained for the mean quantities in an inertial subrange and in a viscous subrange on either side of the mesolayer. Major alterations in the classical theory results.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 September 1979
 Bibcode:
 1979STIN...8017407L
 Keywords:

 Pipe Flow;
 Turbulent Flow;
 Boundary Layer Flow;
 Flow Equations;
 Mathematical Models;
 Shear Flow;
 Fluid Mechanics and Heat Transfer