Volume 13, Issue 2
Bifurcation Diversity in an Annular Pool Heated from Below: Prandtl and Biot Numbers Effects

A. J. Torregrosa, S. Hoyas, M. J. Pérez-Quiles & J. M. Mompó-Laborda

Commun. Comput. Phys., 13 (2013), pp. 428-441.

Published online: 2013-02

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  • Abstract

In this article the instabilities appearing in a liquid layer are studied numerically by means of the linear stability method. The fluid is confined in an annular pool and is heated from below with a linear decreasing temperature profile from the inner to the outer wall. The top surface is open to the atmosphere and both lateral walls are adiabatic. Using the Rayleigh number as the only control parameter, many kind of bifurcations appear at moderately low Prandtl numbers and depending on the Biot number. Several regions on the Prandtl-Biot plane are identified, their boundaries being formed from competing solutions at codimension-two bifurcation points.

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@Article{CiCP-13-428, author = {}, title = {Bifurcation Diversity in an Annular Pool Heated from Below: Prandtl and Biot Numbers Effects}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {2}, pages = {428--441}, abstract = {

In this article the instabilities appearing in a liquid layer are studied numerically by means of the linear stability method. The fluid is confined in an annular pool and is heated from below with a linear decreasing temperature profile from the inner to the outer wall. The top surface is open to the atmosphere and both lateral walls are adiabatic. Using the Rayleigh number as the only control parameter, many kind of bifurcations appear at moderately low Prandtl numbers and depending on the Biot number. Several regions on the Prandtl-Biot plane are identified, their boundaries being formed from competing solutions at codimension-two bifurcation points.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.090611.170212a}, url = {http://global-sci.org/intro/article_detail/cicp/7229.html} }
TY - JOUR T1 - Bifurcation Diversity in an Annular Pool Heated from Below: Prandtl and Biot Numbers Effects JO - Communications in Computational Physics VL - 2 SP - 428 EP - 441 PY - 2013 DA - 2013/02 SN - 13 DO - http://dor.org/10.4208/cicp.090611.170212a UR - https://global-sci.org/intro/article_detail/cicp/7229.html KW - AB -

In this article the instabilities appearing in a liquid layer are studied numerically by means of the linear stability method. The fluid is confined in an annular pool and is heated from below with a linear decreasing temperature profile from the inner to the outer wall. The top surface is open to the atmosphere and both lateral walls are adiabatic. Using the Rayleigh number as the only control parameter, many kind of bifurcations appear at moderately low Prandtl numbers and depending on the Biot number. Several regions on the Prandtl-Biot plane are identified, their boundaries being formed from competing solutions at codimension-two bifurcation points.

A. J. Torregrosa, S. Hoyas, M. J. Pérez-Quiles & J. M. Mompó-Laborda. (2020). Bifurcation Diversity in an Annular Pool Heated from Below: Prandtl and Biot Numbers Effects. Communications in Computational Physics. 13 (2). 428-441. doi:10.4208/cicp.090611.170212a
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