Spectral modeling of linear mechanisms in nonhomogeneous turbulent flows
Abstract
Analytical solutions are found in three dimensions for the case of turbulent flow in the presence of a wall. The study concerns inhomogeneity in the turbulence velocities, and twopoint correlations are found. An example is calculated for a channel flow, yielding an average constant velocity gradient. Numerical results using Green's function are presented to qualitatively describe the behavior of large, strictly inhomogeneous structures and the homogeneous asymptotic state of small structures. Additional results of numerical studies of the stability and truncation of the turbulent spectra have produced a null asymptotic solution to the linear Craya equation and estimates of the time in which the solution remains null. The method is concluded to be a good initial step toward developing a full linear solution in the case of inhomogeneous flows.
 Publication:

Ph.D. Thesis
 Pub Date:
 1981
 Bibcode:
 1981PhDT........48H
 Keywords:

 Channel Flow;
 Computational Fluid Dynamics;
 Flow Distribution;
 Nonuniform Flow;
 Three Dimensional Flow;
 Turbulent Flow;
 Correlation;
 Finite Difference Theory;
 Flow Velocity;
 Green'S Functions;
 Homogeneous Turbulence;
 Inhomogeneity;
 Fluid Mechanics and Heat Transfer