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Thermocapillary and Natural Convection in Double Layer Systems of Herschel-Bulkley and Newtonian Fluids, Exact Solutions

O.M.Lavrenteva, Yu. Holenbergand A.Nir1
1 Chemical Engineering Dept, Technion, Israel

Fluid Dynamics & Materials Processing 2010, 6(1), 41-74. https://doi.org/10.3970/fdmp.2010.006.041

Abstract

A variety of exact analytical solutions describing natural and thermocapillary convection in a horizontal double layer system consisting of Newtonian and Herschel-Bulkley fluids subjected to longitudinal temperature and concentration gradients is constructed. The lower boundary of the system is a solid wall with no-slip, while the upper ones if either a solid wall or a free surface. It was demonstrated that, depending on the governing parameters of the system, viscoplastic layer is entirely yielded or unyielded, or it can be yielded partially, exhibiting up to 5 flowing and quasi-solid layers. The dependence of the flow patterns (appearance and position of unyielded regions), velocity and temperature profiles, on the governing parameters have been studied.

Keywords

Viscoplastic fluid, liquid layer, convection, Marangoni flow

Cite This Article

, O., A.Nir, Y. H. (2010). Thermocapillary and Natural Convection in Double Layer Systems of Herschel-Bulkley and Newtonian Fluids, Exact Solutions. FDMP-Fluid Dynamics & Materials Processing, 6(1), 41–74.



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