Two Very Accurate and Efficient Methods for Computing Eigenvalues and Eigenfunctions in Porous Convection Problems
✍ Scribed by B. Straughan; D.W. Walker
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 382 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
✦ Synopsis
assisting studies of convection in porous media is the theory of stability, whether by linear instability theory, nonlinear
We develop the compound matrix method and the Chebyshev tau method to be applicable to linear and nonlinear stability prob-energy stability theory, or weakly nonlinear theory. Many lems for convection in porous media, in a natural way. It is shown recent studies in this field concentrate on applications; see, how to obtain highly accurate answers to problems which may be e.g., Nield [14], Nield et al. , and the many references stiff, and spurious eigenvalues are avoided. A detailed analysis is in the books of Nield and Bejan [15] and Straughan [20,.
provided for a porous convection problem of much current interest, Stability theory is thus very important. Almost invariably namely convection with a horizontally varying temperature gradient.