The non-Darcy regime for boundary layer natural convection from a point source of heat in a porous medium

Journal Article · Mon May 01 00:00:00 EDT 1995 · International Communications in Heat and Mass Transfer

DOI:https://doi.org/10.1016/0735-1933(95)00018-T· OSTI ID:78196

Degan, G; Vasseur, P ^[1]

---

1. Univ. of Montreal, Quebec (Canada)

In this paper an analytical solution is presented for natural convection from a point source of heat which is embedded in a unbounded saturated porous medium. The non-Darcy effects which are expected to significant for high permeabilities and Rayleigh numbers are included. The boundary layer phenomena is demonstrated to be characterized by scales that differ markedly from the scales known in the Darcy limit. It is shown that the natural convection phenomenon in the non-Darcy limit is governed by a modified Rayleigh number {tilde R}. The results indicate that the inertial effects tends to reduce the buoyancy-induced flow.

• OSTI ID: 78196
• Journal Information: International Communications in Heat and Mass Transfer, Journal Name: International Communications in Heat and Mass Transfer Journal Issue: 3 Vol. 22; ISSN 0735-1933; ISSN IHMTDL
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
BOUNDARY LAYERS
MOMENT OF INERTIA
NATURAL CONVECTION
PERMEABILITY
POROUS MATERIALS