The Molecular Origin of Turbulence in a Flowing Gas
Abstract
Following the analytical approach of James Clerk Maxwell in his Kinetic Theory of Gases derivation of mu, the coefficient of viscosity of a gas, the author treats with the growth of an aerodynamic boundarylayer (1) over an infinite flat plate with time, assuming a stepfunction of air velocity, and (2) over a semiinfinite flat plate (sharp leading edge) with time and downstreamdistance, x, assuming a step function of air velocity. Using LaPlacetransform techniques, a path is found to the solution of both cases, after recognizing the similarity of the format of the equations in the splane to those appearing in the splane for Servomechanism Theory. Solutions for Case 1 and for Case 2 take the form of multi loop GrowthMechanism diagrams, similar to Servomechanism Loop diagrams, and give a pictorial view of how these two BoundaryLayer growth cases behave molecularly. Work in progress aims at solving for the Turbulence Transition point in terms of molecular parameters, and the strength and spacing of the vortex kernels downstream of the transition point. END
 Publication:

APS Division of Fluid Dynamics Meeting Abstracts
 Pub Date:
 November 2003
 Bibcode:
 2003APS..DFD.MB006D