Latest News

About CAMQ

Information for Authors

Editorial Board

Browse CAMQ Online

Subscription and Pricing

CAMQ Contacts

CAMQ Home

 

Volume 7,     Number 2,     Summer 1999

 

AXISYMMETRIC SPREADING AND FILTRATION
OF INCLINED THERMALS OVER POROUS SURFACES
T.B. MOODIE AND J.P. PASCAL

Abstract. In this paper we shall present some recent results concerning a two-layer shallow-water formulation for gravity currents resulting from the initial releases of dense, axisymmetric finite volumes into a larger sector-shaped volume of less dense quiescent fluid overlaying a sloping porous bottom. This study constitutes an exploratory investigation aimed at understanding fully time-dependent inclined thermals and the parameters influencing their spread when there is radial divergence and volumetric flux through the surface over which they move. We feel that this class of flow problems in which radial spreading is coupled to leakage through the bottom boundary represents an appropriate model for many naturally occurring atmospheric, oceanic and terrestrial gravity currents as well as human-made ones.

 

Download PDF Files
 
(Subscribers Only)

© 2005, Canadian Applied Mathematics Quarterly (CAMQ)