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dc.contributor.authorMeiburg, Eckart-
dc.contributor.authorVanaparthy, Surya H.-
dc.contributor.authorPayr, Matthias D.-
dc.contributor.authorWilhelm, Dirk-
dc.date.accessioned2018-12-11T16:06:20Z-
dc.date.available2018-12-11T16:06:20Z-
dc.date.issued2004-
dc.identifier.issn0077-8923de_CH
dc.identifier.issn1749-6632de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/13754-
dc.description.abstractA linear stability analysis is presented for variable-viscosity miscible fluids in an unstable configuration; that is, a heavier fluid placed above a lighter one in a vertically oriented capillary tube. The initial interface thickness is treated as a parameter to the problem. The analysis is based on the three-dimensional Stokes equations, coupled to a convection-diffusion equation for the concentration field, in cylindrical coordinates. When both fluids have identical viscosities, the dispersion relations show that for all values of the governing parameters the three-dimensional mode with an azimuthal wave number of one represents the most unstable disturbance. The stability results also indicate the existence of a critical Rayleigh number of about 920, below which all perturbations are stable. For the variable viscosity case, the growth rate does not depend on which of the two fluids is more viscous. For every parameter combination the maximum of the eigenfunctions tends to shift toward the less viscous fluid. With increasing mobility ratio, the instability is damped uniformly. We observe a crossover of the most unstable mode from azimuthal to axisymmetric perturbations for Rayleigh numbers greater than 10(5) and high mobility ratios. Hence, the damping influence is much stronger on the three-dimensional mode than the corresponding axisymmetric mode for large Rayleigh numbers. For a fixed mobility ratio, similar to the constant viscosity case, the growth rates are seen to reach a plateau for Rayleigh numbers in excess of 10(6). At higher mobility ratios, interestingly, the largest growth rates and unstable wave numbers are obtained for intermediate interface thicknesses. This demonstrates that, for variable viscosities, thicker interfaces can be more unstable than their thinner counterparts, which is in contrast to the constant viscosity result where growth rate was seen to decline monotonically with increasing interface thickness.de_CH
dc.language.isoende_CH
dc.publisherWileyde_CH
dc.relation.ispartofAnnals of the New York Academy of Sciencesde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectModels, Theoreticalde_CH
dc.subjectPhysicsde_CH
dc.subjectRheologyde_CH
dc.subjectSpecific Gravityde_CH
dc.subjectViscosityde_CH
dc.subject.ddc530: Physikde_CH
dc.titleDensity-driven instabilities of variable-viscosity miscible fluids in a capillary tubede_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
dc.identifier.doi10.1196/annals.1324.032de_CH
dc.identifier.pmid15644370de_CH
zhaw.funding.euNode_CH
zhaw.originated.zhawNode_CH
zhaw.pages.end402de_CH
zhaw.pages.start383de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
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Meiburg, E., Vanaparthy, S. H., Payr, M. D., & Wilhelm, D. (2004). Density-driven instabilities of variable-viscosity miscible fluids in a capillary tube. Annals of the New York Academy of Sciences, 383–402. https://doi.org/10.1196/annals.1324.032
Meiburg, E. et al. (2004) ‘Density-driven instabilities of variable-viscosity miscible fluids in a capillary tube’, Annals of the New York Academy of Sciences, pp. 383–402. Available at: https://doi.org/10.1196/annals.1324.032.
E. Meiburg, S. H. Vanaparthy, M. D. Payr, and D. Wilhelm, “Density-driven instabilities of variable-viscosity miscible fluids in a capillary tube,” Annals of the New York Academy of Sciences, pp. 383–402, 2004, doi: 10.1196/annals.1324.032.
MEIBURG, Eckart, Surya H. VANAPARTHY, Matthias D. PAYR und Dirk WILHELM, 2004. Density-driven instabilities of variable-viscosity miscible fluids in a capillary tube. Annals of the New York Academy of Sciences. 2004. S. 383–402. DOI 10.1196/annals.1324.032
Meiburg, Eckart, Surya H. Vanaparthy, Matthias D. Payr, and Dirk Wilhelm. 2004. “Density-Driven Instabilities of Variable-Viscosity Miscible Fluids in a Capillary Tube.” Annals of the New York Academy of Sciences, 383–402. https://doi.org/10.1196/annals.1324.032.
Meiburg, Eckart, et al. “Density-Driven Instabilities of Variable-Viscosity Miscible Fluids in a Capillary Tube.” Annals of the New York Academy of Sciences, 2004, pp. 383–402, https://doi.org/10.1196/annals.1324.032.


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