Non isobaric boundary layers related to Marangoni flows.

*(English)*Zbl 0609.76109The 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.

##### MSC:

76T99 | Multiphase and multicomponent flows |

76E15 | Absolute and convective instability and stability in hydrodynamic stability |

76M99 | Basic methods in fluid mechanics |

##### Keywords:

dissipative layers; Marangoni boundary layers; immiscible fluids; surface driven flows; interfacing fluids; uncoupled, similar solutions; external pressure gradient; similarity class; quasi-linearization technique
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\textit{C. Golia} and \textit{A. Viviani}, Meccanica 21, 200--204 (1986; Zbl 0609.76109)

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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. · Zbl 0495.76082 |

[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. · Zbl 0485.76032 |

[8] | Golia C. &Viviani A.,Marangoni-Buoyant Boundary Layers, L’Aerotecnica Missili e Spazio, Vol. 65, No. 1, March 1985. · Zbl 0589.76118 |

[9] | Radbill J.R.,Application of Quasilinearization to Boundary Layer Equations, AIAA J. 5,2, pp. 1980–1982, 1964. · Zbl 0123.21503 |

[10] | Libby P.A. &Chen K.K.,Remarks on Quasi Linearization applied in Boundary Layer calcutalions, AIAA J. 5,4, pp. 937–939, 1966. · Zbl 0158.23201 |

[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. · JFM 63.0432.03 |

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