Sommario
In questa nota si presenta uno studio numerico del moto di un fluido viscoso ed incomprimibile in un tubo cilindrico, chiuso in uscita da un disco ideale poroso rotante, che trascina e mantiene in rotazione il fluido che lo attraversa. Si è adottato il suddetto modello per rappresentare la prerotazione diretta che ha luogo nel tubo di aspirazione di una pompa centrifuga. Si è determinato il campo di velocità per via numerica attraverso la soluzione diretta delle equazioni di Navier-Stokes in forma completa fino a valori del numero di Reynolds tangenzialeRe t pari a 5 000. I risultati numerici danno un quadro dettagliato e completo delle principali caratteristiche di tale tipo di flusso, e, confrontati con risultati sperimentali disponibili nel campo diRe t turbolento, mostrano un significativo accordo qualitativo. Si riporta infine un confronto con i risultati di precedenti indagini numeriche sul moto di fluidi rotanti presenti in letteratura.
Summary
A numerical investigation of a viscous incompressible rotating fluid flow in a circular cylinder with a net axial flow rate is presented. The cylinder is opened at the bottom and closed at the top by an ideal porous rotating disk, through which the incoming fluid flows receiving an action of solid body rotation. This physical model has been chosen for a realistic representation of fluid direct prerotation which takes place in the suction pipe of a centrifugal pump. The flow field was solved by the direct solution of the complete Navier-Stokes equations for values of Reynolds tangential numberRe t up to 5 000. The numerical results give a detailed and complete sight of the principal features of such kind of flow, and, compared with experimental results in the turbolence range ofRe t. show a significant qualitative agreement. A comparison with previous numerical investigations of other authors about rotating fluids is reported.
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Pareschi, A., Montanelli, P. Numerical solution of the navier-stokes equations for a rotating fluid flow in a cylindrical pipe. Meccanica 15, 140–153 (1980). https://doi.org/10.1007/BF02128925
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DOI: https://doi.org/10.1007/BF02128925