MODELING OF BIFURCATION PHENOMENA IN SUDDENLY EXPANDED FLOWS WITH A NEW FINITE VOLUME LATTICE BOLTZMANN METHOD

Ahad Zarghami (), Mohammad Javad Maghrebi (), Stefano Ubertini () and Sauro Succi ()
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Ahad Zarghami: Department of Mechanical Engineering, Shahrood University of Technology, P. O. Box 36199-316 Shahrood, Iran
Mohammad Javad Maghrebi: Department of Mechanical Engineering, Ferdowsi University of Mashhad, 9177948944, Mashhad, Iran
Stefano Ubertini: Department of Technologies, University of Naples Parthenope, Naples, Italy
Sauro Succi: Istituto per le Applicazioni del Calcolo, CNR, Rome, Italy

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 09, 977-1003

Abstract: A lattice Boltzmann model using upstream finite volume scheme has been employed in the investigation of bifurcation and transition of flow through suddenly-expanded channels. To enhance the stability and accuracy of simulation, a fifth-order Runge–Kutta method is used for the time-marching and upwind biasing factors based on pressure are used as flux correctors in the lattice Boltzmann equation. In the range of Reynolds numbers investigated, the laminar flow through the expansion underwent a symmetry-breaking bifurcation. The critical Reynolds number evaluated from the experiments and the simulations were compared to other values reported in the literature. Comparisons are found to be quantitatively accurate. Furthermore, the results show that the critical Reynolds number decreases with increasing channel expansion ratio. At a fixed supercritical Reynolds number, the location at which the jet first impinges on the channel wall grows with the expansion ratio.

Keywords: LBM; finite volume; bifurcation; critical Reynolds number; sudden expansion; 47.20.Ky; 47.11.Df (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S0129183111016737

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