Modelling of complex clearance flow in screw-type machines

Jan Vimmr

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 76, issue 1, 229-236

Abstract: The study is concerned about a mathematical modelling of complex clearance flow in two-dimensional models of a male rotor-housing gap and of an undesirable gap caused by the incorrect contact of rotor teeth in a screw-type machine. Both problems are solved as a non-stationary turbulent compressible Newtonian fluid flow with ideal gas properties. The turbulent flow is assumed to be statistically steady and the mathematical model is described by the non-linear conservative system of the compressible Favre-averaged Navier–Stokes (FANS) equations written in non-dimensional form. Its numerical solution is performed using the cell-centred finite volume formulation of the explicit two-step TVD MacCormack scheme which is proposed by Causon and is defined on a structured quadrilateral grid. The algebraic Baldwin–Lomax turbulence model is implemented into the presented numerical code.

Keywords: Clearance gaps; Gas leakage; Compressible flow; Turbulence; FANS equations; Finite volume method; TVD MacCormack scheme (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:76:y:2007:i:1:p:229-236

DOI: 10.1016/j.matcom.2007.01.010

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