One-dimensional analog of the Saltzman-Lorenz problem for thermal convection
Abstract
The system of equations proposed by Panchev (1983) as a one-dimensional analog to the classical systems for Saltzman-Lorenz or Rayleigh-Benard convection is investigated analytically, comparing the full Lorenz system with its simplest nontrivial generalization (including, rather than neglecting, the nonlinear interaction term WWz in the velocity field). The stability of steady solutions of the two systems is assessed, and numerical results are presented in tables and graphs and discussed. The comparison shows that the inclusion of WWz increases the number of equations in the low-order system from three to four and changes the properties of the solution significantly.
- Publication:
-
Advances in Turbulence
- Pub Date:
- 1987
- Bibcode:
- 1987adtu.proc...77P
- Keywords:
-
- Convective Flow;
- Convective Heat Transfer;
- Flow Equations;
- One Dimensional Flow;
- Rayleigh-Benard Convection;
- Strange Attractors;
- Fluid Mechanics and Heat Transfer