zbMATH — the first resource for mathematics

Experimental and numerical study of the Marangoni convection due to localized laser heating. (English) Zbl 1080.80006
Thermal inhomogeneities on a liquid-gas interface change the surface tension, influence the heat-mass transfer in the adjacent area, and, by means of the convective flow, affect the entire volume. This process is called the Marangoni effect and has various technological applications in metallurgy, material science and other branches.
This paper begins by presenting an experimental study of the process, concluding in section 3 to a theoretical study. The corresponding mathematical model is derived, its steady-state solutions are studied together with their stability. The section concludes with the study of the nonlinear analysis of thermocapillary convection. In section 4, the numerical results from the previous theoretical analysis are presented and compared with the experimental results.

80A20 Heat and mass transfer, heat flow (MSC2010)
76E06 Convection in hydrodynamic stability
76D45 Capillarity (surface tension) for incompressible viscous fluids
Full Text: DOI
[1] DOI: 10.1023/B:JAMT.0000037968.81880.f6 · doi:10.1023/B:JAMT.0000037968.81880.f6
[2] DOI: 10.1023/A:1019207023086 · doi:10.1023/A:1019207023086
[3] DOI: 10.1103/PhysRevE.47.1126 · doi:10.1103/PhysRevE.47.1126
[4] Boeck T., Lecture Notes Phys. 628 pp 157– (2003)
[5] DOI: 10.1016/0167-2789(94)00184-R · Zbl 0899.76164 · doi:10.1016/0167-2789(94)00184-R
[6] DOI: 10.1142/S021812740200600X · Zbl 1051.76021 · doi:10.1142/S021812740200600X
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.