@Article{fdmp.2010.006.041,
AUTHOR = {O.M.Lavrenteva, Yu. Holenbergand A.Nir},
TITLE = {Thermocapillary and Natural Convection in Double Layer Systems of Herschel-Bulkley and Newtonian Fluids, Exact Solutions},
JOURNAL = {Fluid Dynamics \& Materials Processing},
VOLUME = {6},
YEAR = {2010},
NUMBER = {1},
PAGES = {41--74},
URL = {http://www.techscience.com/fdmp/v6n1/24470},
ISSN = {1555-2578},
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.},
DOI = {10.3970/fdmp.2010.006.041}
}