Sommario
In questo lavoro si è studiato il flusso potenziale in un tubo ad asse elicoidale per mezzo di un sistema di coordinate ortogonali fisse all'asse del tubo. Il flusso è stato studiato sia analiticamente con metodi perturbativi che numericamente. I risultati ottenuti mostrano che la torsione dell'asse elicoidale ha piccoli effetti sulla velocitá assiale, approssimativamente data da quella che si avrebbe in un toro di uguale curvatura, mentre produce forti flussi secondari nel piano normale all'asse. Questi flussi secondari possono avere un'effetto rilevante per quel che riguarda lo strato limite sulle pareti del tubo.
Summary
In this paper we studied the potential flow in a helical pipe using an orthogonal system of coordinates fixed to the helical axis. The analysis was conducted both analitically by applying perturbative methods and numerically. Results show that the torsion of the helical axis has little effect on axial velocity in a torus provided with the same curvature of the helix. At the same time it induces a large secondary flow that is expected to have a relevant effect on the boundary layer on the walls of the helical pipe.
References
Dean W.R.,Note on the motion of fluid in a curved pipe, Philos. Mag. (7),4, 208–223 (1927).
Dean W.R.,The stream-line motion of fluid in a curved pipe, Philos. Mag. (7),5, 673–695 (1928).
Mercier C.,Sur une representation des surfaces toroidales: applications aux equilibres magnetohydrodynamiques, Fusion Nucleaire,3, 89–98 (1963).
Solov'ev L.S., Shafranov V.D.,Plasma confinement in closed magnetic system, Rev. of Plasma Physics5, Consultants Bureau, New York (1970).
Wang C.Y.,On the low Reynolds number flow in a helical pipe, J. Fluid Mech.108, 185–194 (1981).
Germano M.,On the effect of torsion on a helical pipe flow, J. Fluid Mech.125, 1–8 (1982).
Holt M., Yeung W.S.,A numerical investigation for curved pipe flow at high Reynolds number, J. Appl. Mech. (ASME)50, 239–243 (1983).
Howarth L.,Laminar boundary layers, Enciclopedia of Physics, vol. VIII/1 pag. 309, eq. 11.
Berger S.A., Talbot L., Yao L.S.,Flow in curved pipes, Ann. Rev. Fluid Mech.15, 461–512 (1983).
Murata S., Miyake Y., Inaba T., Ogawa H.,Laminar flow in a helical coiled pipe, Bulletin of the JSME,24, 355–362 (1981).
Yeung W.S.,Laminar boundary layer flow near the entry of a curved circular pipe, J. Appl. Mech. (ASME)47, 697–702 (1980).
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Germano, M., Oggiano, M.S. Potential flow in helical pipes. Meccanica 22, 8–13 (1987). https://doi.org/10.1007/BF01560119
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DOI: https://doi.org/10.1007/BF01560119