Application of two spectral methods to a problem of convection with uniform internal heat source

Details Application of two spectral methods to a problem of convection with uniform internal heat source Application of two spectral methods to a problem of convection with uniform internal heat source

2006-11-13

arxiv.org/abs/math-ph/0611027v1

Physics

Mathematical Physics

12 pages, 1 Table

Scientific paper

Two methods based on Fourier series expansions (a Chandrasekhar functions-based method and a shifted Legendre polynomials -based method) are used to study analytically the eigenvalue problem governing the linear convection problem with an uniform internal heat source in a horizontal fluid layer bounded by two rigid walls. For each method some theoretical remarks are made. Numerical results are given and they are compared with some existing ones. Good agrement is found.

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