Nonlinear Marangoni convection in bounded layers. II. Rectangular cylindrical containers. (English) Zbl 0498.76039
MSC:
76E15 | Absolute and convective instability and stability in hydrodynamic stability |
76E30 | Nonlinear effects in hydrodynamic stability |
Keywords:
roll-cell development; roll-cell interaction; roll-cell amplitude; transport fields; aspect ratios corresponding to double eigenvalues; sequences of transitions from one steady state to another; time-periodic convection; circular cylinder; nonlinear Marangoni instability; free surface; surface tension; linearized stability theory; critical number; surface cooling condition; Rayleigh number; steady; asymptotic theory; finite amplitude states; Prandtl number; rectangular cylinderCitations:
Zbl 0498.76038References:
[1] | DOI: 10.1017/S002211206700134X · Zbl 0234.76066 · doi:10.1017/S002211206700134X |
[2] | Rosenblat, J. Fluid Mech. 120 pp 91– (1982) |
[3] | Rosenblat, Stud. Appl. Math. 60 pp 241– (1979) · Zbl 0407.34045 · doi:10.1002/sapm1979603241 |
[4] | DOI: 10.1017/S0022112058000616 · Zbl 0082.18804 · doi:10.1017/S0022112058000616 |
[5] | DOI: 10.1017/S0022112067001545 · Zbl 0153.29702 · doi:10.1017/S0022112067001545 |
[6] | DOI: 10.1063/1.1694096 · doi:10.1063/1.1694096 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.