Skip to main content
    • Aa
    • Aa

Convection of a fluid in a porous medium

  • E. R. Lapwood (a1)

It is shown that under certain conditions convective flow may occur in fluid which permeates a porous stratum and is subject to a vertical temperature gradient, on the assumption that the flow obeys Darcy's law. The criterion for marginal stability is obtained for three sets of boundary conditions, and the motion described. If such convection occurs in a stratum through which a bore-hole passes, the usual method of calculation of the heat flow must be modified, but in general the correction will not be large.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

(1) A. E. Benfield Proc. Roy. Soc. A, 173 (1939), 428–50.

(2) E. C. Bullard Proc. Roy. Soc. A, 173 (1939), 474502.

(3) B. Davison Phil. Mag. 21 (1936), 881903.

(4) A. L. Hales Mon. Not. R. Astr. Soc. Geophys. Suppl. 3 (1936), 372–80.

(6) H. Jeffreys Phil. Mag. 2 (1926), 833–44.

(7) H. Jeffreys Proc. Roy. Soc. A, 118 (1928), 195208.

(10) L. J. Krige Proc. Roy. Soc. A, 173 (1939), 450–74.

(12) A. R. Low Proc. Roy. Soc. A, 125 (1929), 180–95.

(14) A. Pellew and R. V. Southwell Proc. Roy. Soc. A, 176 (1940), 312–43.

(15) Lord. Rayleigh Phil. Mag. 32 (1916), 529–46.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 88 *
Loading metrics...

Abstract views

Total abstract views: 236 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 26th May 2017. This data will be updated every 24 hours.