Mathematics – Logic
Scientific paper
Mar 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990georl..17..235r&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 17, March 1990, p. 235-238.
Mathematics
Logic
15
Anisotropic Media, Free Convection, Geology, Geophysical Fluids, Two Dimensional Flow, Flow Distribution, Heat Transfer, Kinetic Energy, Nusselt Number, Permeability, Rayleigh Number, Time Dependence
Scientific paper
The spatial variation and degree of anisotropy of the permeability field (k) is an important parameter affecting the dynamics of convective fluid flow in saturated geologic media. This paper reports results from time-dependent, two-dimensional numerical simulations, with constant fluid properties, for k fields that are anisotropic, layered, or both. Streamlines and isotherms are given for domains with permeable and impermeable tops for Ra (100-300), k(z)/k(x) (0.33-40), and for a system with two isotropic layers of equal height, k(t)/k(b) (0.1-10). The kinetic energy (KE) and Nusselt number (Nu) monotonically decrease as k(z)/k(x) increases at constant Rayleigh number, defined with respect to k(z). In two-layer systems, KE increases linearly and Nu increases asymptotically as k(t)/k(b) increases at constant Rayleigh number, defined with respect to k(b). For otherwise identical cases, KE and Nu are greater for permeable top than impermeable top boundary conditions.
Rosenberg Nina D.
Spera Frank J.
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