Wake flow past a plate with spoiler II: Gravity effects

  • Piero Bassanini
  • Daniela Mansutti
Original Papers
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Summary

The effects of transverse gravity on steady flow past a split plate are investigated, by adopting the wake model proposed in the preceding paper (I). The existence and uniqueness of the solution as well as the convergence of an iteration process involving the free streamlines are proved for large Froude numbers by means of the Banach contraction mapping principle using Lipschitz norms.

Keywords

Mathematical Method Steady Flow Froude Number Iteration Process Contraction Mapping 

Sunto

Si studiano gli effetti dovuti ad un campo di gravità uniforme trasversale sul flusso con scia attorno ad un profilo sottile con spoiler usando un modello proposto nel precedente lavoro (I). Si dimostra l'esistenza, unicità, e la convergenza di un procedimento iterativo sulle linee di corrente libere, per grandi numeri di Froude, mediante il principio di contrazione in spazi di Banach.

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Copyright information

© Birkhäuser Verlag 1986

Authors and Affiliations

  • Piero Bassanini
    • 1
  • Daniela Mansutti
    • 2
  1. 1.Dipartimento di MatematicaUniversità di Roma IItaly
  2. 2.Istituto per le Applicazioni del CalcoloRomaItaly

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