Unsteady thermal boundary layer flows of a Bingham fluid in a porous medium following a sudden change in surface heat flux

D. Andrew S. Rees, Andrew Bassom

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)
254 Downloads (Pure)

Abstract

We consider the effect of suddenly applying a uniform heat flux to a vertical wall bounding a porous medium which is saturated by a Bingham fluid. We consider both an infinite porous domain and a vertical channel of finite width. Initially, the evolving temperature field provides too little buoyancy force to overcome the yield threshold of the fluid. For the infinite domain convection will always eventually arise, but this does not necessarily happen in the vertical channel. We show (i) how the presence of yield surfaces alters the classical results for Newtonian flows and (ii) the manner in which the locations of the yield surfaces change as time progresses.
Original languageEnglish
Pages (from-to)1100-1106
Number of pages6
JournalInternational Journal of Heat and Mass Transfer
Volume93
DOIs
Publication statusPublished - Feb 2016

Keywords

  • Porous media; Boundary layer; Unsteady flow; Convection; Bingham fluid; Yield stress

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