A theoretical value for von Karman's constant
Abstract
The physical principles supporting the entityentrainment model of turbulent processes in the planetary boundary layer (Telford and Presley, 1978; Telford, 1980) are elaborated to derive a formula for von Karman's constant (k) in terms of the entrainment constant, the turbulentdecay constant, and the height ratio of the successive selfsimilar layers of the model. The steps of the derivation are discussed in detail, and a k value of 0.369 is obtained. This result is found to be in agreement with observations of neutralboundarylayer motion on large scales but somewhat smaller than that of laboratory experiments; the possible reasons for this discrepancy are explored.
 Publication:

Pure and Applied Geophysics
 Pub Date:
 1982
 DOI:
 10.1007/BF00876650
 Bibcode:
 1982PApGe.120..648T
 Keywords:

 Atmospheric Turbulence;
 Planetary Boundary Layer;
 Plumes;
 Pollution Transport;
 Turbulent Flow;
 Von Karman Equation;
 Entrainment;
 Flow Equations;
 Kinetic Energy;
 Surface Roughness Effects;
 Fluid Mechanics and Heat Transfer