TY - EJOU AU - O.M.Lavrenteva, AU - A.Nir, Yu. Holenbergand TI - Thermocapillary and Natural Convection in Double Layer Systems of Herschel-Bulkley and Newtonian Fluids, Exact Solutions T2 - Fluid Dynamics \& Materials Processing PY - 2010 VL - 6 IS - 1 SN - 1555-2578 AB - 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. KW - Viscoplastic fluid KW - liquid layer KW - convection KW - Marangoni flow DO - 10.3970/fdmp.2010.006.041