Onset of convection in a porous layer with continuous periodic horizontal stratification. Part I. Two-dimensional convection
Rees, D. A. S. and Tyvand, P. A., 2009. Onset of convection in a porous layer with continuous periodic horizontal stratification. Part I. Two-dimensional convection. Transport in Porous Media, 77 (2), pp. 187-205.
Related documents:This repository does not currently have the full-text of this item.
You may be able to access a copy if URLs are provided below. (Contact Author)
The onset of convection in a horizontal porous layer is investigated theoretically. The permeability of the porous medium is a continuous periodic function of the horizontal x coordinate. Floquet theory has been employed to determine the favoured two-dimensional mode of convection. For a wide range of periods of the permeability variation, a matrix eigenvalue technique with eighth order accuracy has been employed to find the critical Darcy- Rayleigh number. This is supplemented by a multiple-scales analysis of the large-period limit, and a brief consideration of the anisotropic limit for very short periods.
|Creators||Rees, D. A. S.and Tyvand, P. A.|
|Uncontrolled Keywords||nonuniform permeability,floquet theory,linear stability theory,free convection,multiple scales|
|Departments||Faculty of Engineering & Design > Mechanical Engineering|
|Research Centres||Aerospace Engineering Research Centre|
Actions (login required)