Stability Characteristics of a Natural Convection Flow above a Horizontal Line Heat Source
Abstract
Stability characteristics of a laminar natural convection flow above a horizontal line heat source are theoretically investigated on the basis of the linear stability theory. The coupled Orr-Sommerfeld equations are integrated numerically for anti-symmetric disturbances. The contours for various amplification rates are obtained in the Grashof number-wavenumber and the Grashof number-frequency diagrams. The eigenfunctions for the velocity and temperature disturbances are also calculated. Experiments are carried out for verifying the above-obtained theoretical results. All the experimental results are found to be in good agreement with them. A phenomenon called swaying motion, which was already reported in previous papers, seems to be explicable within the scope of the linear stability theory developed in the present paper.
- Publication:
-
Journal of the Physical Society of Japan
- Pub Date:
- April 1984
- DOI:
- 10.1143/JPSJ.53.1291
- Bibcode:
- 1984JPSJ...53.1291W
- Keywords:
-
- Computational Fluid Dynamics;
- Convective Flow;
- Flow Stability;
- Free Convection;
- Heat Sources;
- Eigenvectors;
- Grashof Number;
- Laminar Flow;
- Numerical Integration;
- Orr-Sommerfeld Equations;
- Fluid Mechanics and Heat Transfer