Numerical calculation of laminar and turbulent plumes
Abstract
Numerical calculations of the convection due to a point source of heat are done for both the laminar and turbulent cases. The analytic solution for the laminar plume is known. For turbulent plumes, dimensional analysis supplemented by experiment gives correct answers. The present calculations compare reasonably well with these results. In calculating the turbulent plume, two simple closures were used to obtain a scalar eddy viscosity at the grid scale. The simplest closure assumes isotropy and the turbulent energy is proportional to the square of the deformation rate. For the closure admitting anisotropy, the energy is proportional to the difference in the square of the deformation rate and the square of the rotation, suggesting an inertial cutoff for large fluid vorticity.
 Publication:

IN: Numerical methods in laminar and turbulent flow; Proceedings of the Fourth International Conference
 Pub Date:
 1985
 Bibcode:
 1985nmlt.proc..913L
 Keywords:

 Computational Fluid Dynamics;
 Laminar Flow;
 Numerical Flow Visualization;
 Plumes;
 Turbulent Flow;
 Boussinesq Approximation;
 Closures;
 Computational Grids;
 Eddy Viscosity;
 Scalars;
 Vorticity;
 Fluid Mechanics and Heat Transfer