Rotating incompressible flow with a pressure Neumann condition

• Published in: International journal for numerical methods in fluids Vol. 50; no. 1; pp. 1 - 26
• Main Authors: Claeyssen, Julio R., Asenjo, Elba Bravo, Rubio, Obidio
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 10.01.2006; Wiley
• Subjects: Computational fluid dynamics; Computational methods in fluid dynamics; Discretization; Ducts; Exact sciences and technology; Flows in ducts, channels, nozzles, and conduits; Fluid dynamics; Fluid flow; Fluids; Fundamental areas of phenomenology (including applications); Hydrodynamic stability; Incompressible flow; Mathematical analysis; Mathematical models; Physics; pressure Neumann condition; primitive variables; rotating duct; Secondary instability; Rectangular pipe; Pipe flow; Computational fluid dynamics; incompressible flow; Digital simulation; Pressure distribution; pressure Neumann condition; Velocity distribution; Discretization method; Rotating pipe; Algorithms; primitive variables; Incompressible fluid; Secondary flow; Viscous fluids; rotating duct; Finite difference method
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.1015

This work considers the internal flow of an incompressible viscous fluid contained in a rectangular duct subject to a rotation. 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 and velocity fields are directly updated without any iteration. Numerical simulations with several Reynolds numbers and rotation rates were performed for ducts of aspect ratios 2:1 and 8:1. Copyright © 2005 John Wiley & Sons, Ltd.