Linear Stability of a Convective Flow in a Vertical Pipe

Proceedings of the 15th WSEAS International Conference on Applied Mathematics (MATH'10) 2010
Andrejs Koliškins, Rémi Vaillancourt

The linear stability of a convective flow in a vertical pipe generated by internal heat sources of constant volume density is analyzed in the present paper. The linear stability problem is solved for different values of the parameters of the problem. It is shown that for low Prandtl numbers instability is governed by hydrodynamic modes due to the interaction of counter-flowing fluid streams. The second instability mode (thermal mode) appears for large Prandtl numbers and becomes dominant since lower critical Grashof numbers correspond to the thermal mode. Reasonable agreement with experimental data is found.

Keywords
stability of fluid flows, internal heat sources, collocation method
Hyperlink
http://www.wseas.us/e-library/conferences/2010/Vouliagmeni/MATH/MATH-05.pdf

Koliškins, A., Vaillancourt, R. Linear Stability of a Convective Flow in a Vertical Pipe. In: Proceedings of the 15th WSEAS International Conference on Applied Mathematics (MATH'10), Greece, Athens, 29-31 December, 2010. Athens: WSEAS Press, 2010, pp.44-48. ISBN 9789604742639.

Publication language
English (en)