... is equal at the pore level. Furthermore, for certain range of parameters, we have noticed the dual solutions that represent two different flow regimes in the boundary layer. To assess the physically feasible flow, the stability analysis shows that the upper branch solutions are always stable which...

... class of boundary layer flow and heat transfer. The hydrodynamics behind these results are discussed in some detail. e-mail:  ramesh@bub.ernet.in 11 12 2019 26 02 2020 24 04 2020 boundary layer flows heat transfer numerics and asymptotics dual solutions stability...

... with the implementation of nanofluid. Stability analysis is conducted since dual solutions exist in this study, and conclusively, the first solution is found to be stable. 1 Corresponding author. Contributed by the Heat Transfer Division of ASME for publication in the J OURNAL OF H EAT T RANSFER . Manuscript...

..., and the magnetic parameters on the skin friction or the wall shear stress, heat flux from the surface of the sheet, velocity, and temperature profiles are computed and discussed. magnetohydrodynamic stagnation-point flow heat transfer stretching/shrinking sheet partial slip dual solutions Flow...

.../shrinking parameter. It is found that dual solutions exist for a certain range of the stretching/shrinking parameter for both shrinking and stretching cases. The results indicate that the skin friction coefficient, local Nusselt number, local Sherwood number, and the local density of the motile...

... that even in the case of prescribed surface heat flux, dual solutions exist when the surface and the fluid move in opposite directions. dual solutions forced convection moving fluid moving surface variable heat flux From the literature of boundary-layer theory, it can be seen that the flow...

... are nonunique. nanofluids stagnation-point flow heat transfer stretching/shrinking sheet dual solutions Most conventional heat transfer fluids, such as water, ethylene glycol, and engine oil, have limited capabilities in term of thermal properties, which, in turn, may impose serve restrictions...

..., and induced magnetic field profiles are also presented. For the case of the opposing flow, it is found that dual solutions exist for a certain range of the buoyancy parameter. Dual solutions are also obtained for the assisting flow. 04 02 2010 22 08 2010 02 11 2010 02 11 2010...

... parameters are analyzed and discussed. Both assisting and opposing flows are considered. It is found that dual solutions also exist for the assisting flow, besides that usually reported in the literature for the opposing flow. 04 10 2006 17 01 2007 magnetohydrodynamics natural convection...

... and opposing flows are considered. It is found that, for opposing flow, dual solutions exist in the neighborhood of the separation region, whereas for assisting flow the solution is unique. 04 09 2006 19 12 2006 Figures 5 6 present the numerical solutions of the skin friction coefficient...