A New Theory of Turbulent Flow in a Pipe.
JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF EARTH AND PLANETARY SCIENCES
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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 Prandtls 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 sub-range and in a viscous subrange on either side of the mesolayer. Major alterations in the classical theory result.
- Fluid Mechanics