Turbulent mixing with chemical reaction and collection of inertialess particles on cylinders and spheroids with electrical forces and gravitation
Abstract
By numerically integrating the Fourier transformed exact conservation equations of reactants over time using a numerical simulation of a homogeneous isotropic turbulent velocity field for the convection velocity, O'Brien's and Toor's statistical independence hypotheses were tested. Two simulated turbulent velocity fields that obey continuity were used. The first had a constant specified energy spectrum but lacked interaction between Fourier modes. The second velocity field, which was generated using a modified form of the NavierStokes equation, had interaction and conserved energy but the energyspectrum was transient.
 Publication:

Ph.D. Thesis
 Pub Date:
 1977
 Bibcode:
 1977PhDT........16N
 Keywords:

 Chemical Reactions;
 Conservation Equations;
 Fourier Transformation;
 Numerical Integration;
 Turbulent Mixing;
 Energy Spectra;
 NavierStokes Equation;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer