Weak Formulation of the Problem of Modelling the Steady Flow of a Viscous Incompressible Liquid Through a Rotating Radial Blade Machine

T. Neustupa ()
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T. Neustupa: Czech Technical University Prague, Faculty of Mechanical Engineering

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 549-557 from Springer

Abstract: Abstract The paper presents the mathematical model of a two dimensional steady viscous incompressible flow through a rotating radial blade machine. The flow is described and studied in the rotating frame. The paper provides the classical and weak formulation of the corresponding boundary value problem. The boundary condition on the outflow is the so called “natural” boundary condition, with the additional nonlinear term proposed by Bruneau and Fabrie (Math Model Numer Anal 30(7):815–840, 1996), and a new term arising from the rotation of the machine. The existence of a weak solution is proved.

Keywords: Weak Solution; Stokes Equation; Weak Formulation; Natural Boundary Condition; Fixed Coordinate System (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_58

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DOI: 10.1007/978-3-642-33134-3_58

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