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A convective weakly viscoelastic rotating flow with pressure Neumann condition
Authors:Julio R. Claeyssen  Elba Bravo Asenjo  Obidio Rubio
Affiliation:1. IM‐Promec, Universidade Federal do Rio Grande do Sul, P.O. Box 10673, 90001‐970 Porto Alegre, RS, Brazil;2. UNASP‐Adventist University Center of S?o Paulo, SP, Brazil;3. Facultad de Ciencias, Universidad Nacional de Trujillo, La Libertad, Peru
Abstract:The objective of this work is to investigate through the numeric simulation, the effects of the weakly viscoelastic flow within a rotating rectangular duct subject to a buoyancy force due to the heating of one of the walls of the duct. A direct velocity–pressure algorithm in primitive variables with a Neumann condition for the pressure is employed. The spatial discretization is made with finite central differences on a staggered grid. The pressure field is directly updated without any iteration. Numerical simulations were done for several Weissemberg numbers (We) and Grashof numbers (Gr) . The numerical results show that for high Weissemberg numbers (We>7.4 × 10?5) and for ducts with aspect ratio 2:1 and 8:1, the secondary flow is restabilized with a stretched double vortex configuration. It is also observed that when the Grashof number is increased (Gr>17 × 10?4) , the buoyancy force neutralizes the effects of the Coriolis force for ducts with aspect ratio 8:1. Copyright © 2008 John Wiley & Sons, Ltd.
Keywords:non‐Newtonian  incompressible flow  mixed convection  rotating flow  finite differences methods  pressure Neumann condition
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