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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.

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APA Style
O.M.Lavrenteva, , A.Nir, Y.H. (2010). Thermocapillary and natural convection in double layer systems of herschel-bulkley and newtonian fluids, exact solutions. Fluid Dynamics & Materials Processing, 6(1), 41-74. https://doi.org/10.3970/fdmp.2010.006.041
Vancouver Style
O.M.Lavrenteva , A.Nir YH. Thermocapillary and natural convection in double layer systems of herschel-bulkley and newtonian fluids, exact solutions. Fluid Dyn Mater Proc. 2010;6(1):41-74 https://doi.org/10.3970/fdmp.2010.006.041
IEEE Style
O.M.Lavrenteva and Y.H. A.Nir, "Thermocapillary and Natural Convection in Double Layer Systems of Herschel-Bulkley and Newtonian Fluids, Exact Solutions," Fluid Dyn. Mater. Proc., vol. 6, no. 1, pp. 41-74. 2010. https://doi.org/10.3970/fdmp.2010.006.041



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