The Entrainment Theorem for the Darcy free convection over a permeable vertical plate

E Magyari, D Andrew S Rees

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

The Cheng-Minkowycz model of the Darcy free convection boundary layer flow over a permeable vertical plate with prescribed power-law temperature distribution Tw (x) = T∞ + A·xλ and an applied lateral mass flux is revisited in this paper. The relationship between the wall heat flux and the entrainment velocity (the similar transversal velocity at the outer edge of the boundary layer) as function of the mass transfer parameter fw is examined analytically by using the Merkin transformation method. It is shown that at the value of fw where the Nusselt number becomes zero and changes sign, the entrainment velocity passes through its minimum value (Entrainment Theorem). The converse statement is also true, and holds for all the surface temperature distributions with power-law exponent in the range - 1
Original languageEnglish
Pages (from-to)1123-1130
Number of pages8
JournalInternational Journal of Thermal Sciences
Volume47
Issue number9
DOIs
Publication statusPublished - Sep 2008

Fingerprint Dive into the research topics of 'The Entrainment Theorem for the Darcy free convection over a permeable vertical plate'. Together they form a unique fingerprint.

Cite this