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Non isobaric boundary layers related to Marangoni flows

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Sommario

Si considerano Strati Limiti che possono formarsi, lungo l'interfaccia di due fluidi immiscibili, in flussi indotti da gradienti di tensione superficiale, noti come strati limiti alla Marangoni. Soluzioni simili vengono derivate per il caso in cui sia presente un gradiente di pressione esterno, nell'ipotesi che i campi di moto nei due fluidi interfaccianti siano disaccoppiati. Le equazioni sono integrate numericamente con un algoritmo basato su una tecnica di Quasi-Linearizzazione.

Summary

The paper deals with the dissipative layers, called Marangoni boundary layers, that can be formed, along the interface of two immiscible fluids, in surface driven flows. Under the hypothesis that the flow fields of the two interfacing fluids are uncoupled, similar solutions are studied for the case in which an external pressure gradient is present. The similarity class is derived and the pertinent equations are solved numerically by mean of an algorithm based on a Quasi-Linearization Technique.

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References

  1. Da-Riva I. &Napolitano L.G.,Fluid Physics under reduced Gravity — an Overview, ESA-SP-191, June 1983.

  2. Malmejac Y. & Al.,Challenges and Prospectives of Microgravity research in Space, ESA-BR-05, October 1981.

  3. Napolitano L.G.,Surface and Buoyancy Driven Free Convection, Acta Astronautica, Vol. 9, No. 4, 1982.

  4. Napolitano L.G.,Marangoni Boundary Layer, ESA-SP-142, June 1979.

  5. Echer A. & Al.,Grenz schichten in erstarrenden transparenten schmezen (GETS), D1-Mission-PK-HO1-04, March 1984.

  6. Napolitano L.G. &Golia C.,Similar Solutions of Marangoni Boundary Layers, 3rd Levitch Conf., Madrid May 1980.

  7. Napolitano L.G. &Golia C.,Coupled Marangoni Boundary Layers, Acta Astronautica, Vol. 8, No. 5–6, 1981.

  8. Golia C. &Viviani A.,Marangoni-Buoyant Boundary Layers, L'Aerotecnica Missili e Spazio, Vol. 65, No. 1, March 1985.

  9. Radbill J.R.,Application of Quasilinearization to Boundary Layer Equations, AIAA J. 5,2, pp. 1980–1982, 1964.

    Google Scholar 

  10. Libby P.A. &Chen K.K.,Remarks on Quasi Linearization applied in Boundary Layer calcutalions, AIAA J. 5,4, pp. 937–939, 1966.

    Google Scholar 

  11. Stoer J. &Bulirsch R.,Introduzione all'analisi numerica, Vol. II, Zanichelli ed., Bologna (I).

  12. Hartree D.R.,On an equation occurring in Falkner and Skan's approximate treatment of the equations of the Boundary Layer, Proc. Cambridge Phil. Soc. Vol. 33, pt. 2, pp. 223–239, April 1937.

    Google Scholar 

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Golia, C., Viviani, A. Non isobaric boundary layers related to Marangoni flows. Meccanica 21, 200–204 (1986). https://doi.org/10.1007/BF01556486

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  • DOI: https://doi.org/10.1007/BF01556486

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