Unsteady free convection boundary layer flows of a Bingham fluid in cylindrical porous cavities
journal contributionposted on 2023-05-20, 02:02 authored by Rees, DAS, Andrew BassomAndrew Bassom
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.
Publication titleTransport in Porous Media
Department/SchoolSchool of Natural Sciences
PublisherKluwer Academic Publ
Place of publicationVan Godewijckstraat 30, Dordrecht, Netherlands, 3311 Gz
Rights statementCopyright 2018 The Authors. Licensed under Creative Commons Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/