The floating zone (FZ) method is one of the growth techniques used to grow single crystal materials. FZ growth is achieved in a containerless environment (without a crucible) by the movement of a molten zone of a solid rod, which forms a free-standing liquid bridge between two solid sections. However, the surface tension along the free surface of the molten zone varies due to temperature and co...

The floating zone (FZ) method is one of the growth techniques used to grow single crystal materials. FZ growth is achieved in a containerless environment (without a crucible) by the movement of a molten zone of a solid rod, which forms a free-standing liquid bridge between two solid sections. However, the surface tension along the free surface of the molten zone varies due to temperature and co...

In this paper we use classical linear stability theory to investigate the effects of uniform internal heat generation on the onset of Marangoni convection in a horizontal layer of fluid heated from below. We use a analytical technique to obtain the close form analytical expression for the onset of Marangoni convection when the lower boundary is conducting with free-slip condition. We show that ...

We describe experiments on Bénard-Marangoni convection which permit an useful understanding on the main concepts involved in this phenomenon as, for example, Bénard cells, aspect ratio, Rayleigh and Marangoni numbers, crispation number and critical conditions. In spite of the complexity of the convection theory, this work carries out a simple and introductory analysis of it which has the additi...

The combined effects of a uniform vertical magnetic field and a nonuniform basic temperature profile on the onset of steady Marangoni convection in a horizontal layer of micropolar fluid are studied. The closed-form expression for the Marangoni number M for the onset of convection, valid for polynomial-type basic temperature profiles upto a third order, is obtained by the use of the single-term...

The onset of Marangoni convection in a horizontal fluid layer with internal heat generation overlying a solid layer heated from below is studied. The upper free surface of a fluid is nondeformable and the bottom boundary are rigid and no-slip. The resulting eigenvalue problem is solved exactly. The critical values of the Marangoni numbers for the onset of Marangoni convection are calculated and...

Title of dissertation: THE EFFECT OF SURFACTANT VAPOR ON MARANGONI CONVECTION IN ABSORPTION AND CONDENSATION Zhe Yuan, Doctor of Philosophy, 2005 Dissertation directed by: Dr. Keith E. Herold, Associate Professor, Department of Mechanical Engineering Mass and heat transfer enhancement by the addition of a class of surfactant additives is in common use in absorption machines based on aqueous lit...

Surface-active molecules supplied from a particle fixed at the water surface create a spatial gradient of the molecule concentration, resulting in Marangoni convection. Convective flow transports the molecules far from the particle, enhancing diffusion. We analytically derive the effective diffusion coefficient associated with the Marangoni convection rolls. The resulting estimated effective di...

Surface-active molecules supplied from a particle fixed at the water surface create a spatial gradient of the molecule concentration, resulting in Marangoni convection. Convective flow transports the molecules far from the particle, enhancing diffusion. We analytically derive the effective diffusion coefficient associated with the Marangoni convection rolls. The resulting estimated effective di...

The Marangoni e#ect is a frequently observed phenomenon of enhancement of interphase mass transfer in liquid–liquid systems. Such an e#ect, originating from the hydrodynamic instability induced by surface tension sensitivity to surface concentration of transferred solute, is mathematically formulated and numerically simulated for slowly moving single spherical drops in an axisymmetric boundary-...