An asymptotic and numerical study of slow, steady ascent in a Newtonian fluid with temperature-dependent viscosity
In this paper, we revisit, both asymptotically and numerically, the problem of a hot buoyant spherical body with a zero-traction surface ascending through a Newtonian fluid that has temperature-dependent viscosity. Significant analytical progress is possible for four asymptotic regimes in terms of t...
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| Veröffentlicht in: | Applied mathematics and computation 2012-11, Vol.219 (6), p.3154-3177 |
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| container_title | Applied mathematics and computation |
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| creator | Vynnycky, M. O’Brien, M.A. |
| description | In this paper, we revisit, both asymptotically and numerically, the problem of a hot buoyant spherical body with a zero-traction surface ascending through a Newtonian fluid that has temperature-dependent viscosity. Significant analytical progress is possible for four asymptotic regimes in terms of two dimensionless parameters: the Péclet number, Pe, and a viscosity variation parameter, ϵ. Even for mild viscosity variations, the classical isoviscous result due to Levich is found to hold at leading order. More severe viscosity variations lead to an involved asymptotic structure that was never previously adequately reconciled numerically; we achieve this successfully with the help of a finite-element method. |
| doi_str_mv | 10.1016/j.amc.2012.09.049 |
| format | Article |
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| ispartof | Applied mathematics and computation, 2012-11, Vol.219 (6), p.3154-3177 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Ascent Asymptotic properties Asymptotics Buoyancy Finite element method Mathematical analysis Mathematical models Newtonian fluids Slow flow Temperature-dependent viscosity Viscosity |
| title | An asymptotic and numerical study of slow, steady ascent in a Newtonian fluid with temperature-dependent viscosity |
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