Unsteady free convection boundary layer flows of a Bingham fluid in cylindrical porous cavities

D A S Rees, Andrew P Bassom

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We consider two unsteady free convection flows of a Bingham fluid when it saturates a porous medium contained within a vertical circular cylinder. The cylinder is initially at a uniform temperature, and such flows are then induced by suddenly applying either a new constant temperature or a nonzero heat flux to the exterior surface. As time progresses, heat conducts inwards and this may or may not overcome the yield threshold for flow. For the constant temperature case, flow begins immediately should the parameter, Rb, which is a nondimensional yield parameter, be sufficiently large. The ultimate fate, though, is full immobility as the cylinder eventually tends towards a new constant temperature. For the constant heat flux case, the fluid remains immobile but will begin to flow eventually should Rb be sufficiently large. The two cases have different critical values for Rb.
Original languageEnglish
Pages (from-to)711-728
Number of pages18
JournalTransport in Porous Media
Volume127
Issue number3
Early online date19 Dec 2018
DOIs
Publication statusPublished - 1 Apr 2019

Keywords

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

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Catalysis

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