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Non-radial flow of an incompressible fluid of second grade in a contracting channel

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Abstract

The steady non-radial flow of an incompressible fluid of second grade in a contracting channel is studied. The dependence of the flow on the material parameters of the fluid and on the channel angle is investigated. A similarity transformation is introduced for the streamfunction which reduces the P.D.E. to a sequence of O.D.E.s. A series solution is employed to solve the problem.

Sommario

Si studia il flusso stazionario non radiale di un fluido di secondo grado incomprimibile in un canale convergente, esaminandone la dipendenza dai parametri materiali del fluido e dall'angolo di apertura del canale. Si introduce una trasformazione di similitudine per la funzione di corrente che riduce l'equazione di moto ad una serie di equazioni differenziali ordinarie, risolte numericamente.

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  1. Istituto per le Applicazioni del Calcolo, C.N.R. Viale del Policlinico 137, 00161, Rome, Italy

    G. Pontrelli

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  1. G. Pontrelli
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Pontrelli, G. Non-radial flow of an incompressible fluid of second grade in a contracting channel. Meccanica 30, 53–62 (1995). https://doi.org/10.1007/BF00987125

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  • DOI: https://doi.org/10.1007/BF00987125

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