Mixed convection boundary-layer flow near the lower stagnation point of a horizontal circular cylinder with a second-order wall velocity condition and a constant surface heat flux

摘要

The mixed convection boundary-layer flow near the lower stagnation point of a horizontal circular cylinder with a second-order slip velocity model and a constant surface heat flux is investigated. By choosing appropriate similarity variables, the partial differential equations and boundary conditions governing the flow are transformed into a similarity system. This is solved numerically for different values of the governing parameters. These solutions can have two branches, an upper and a lower branch, over certain ranges of the mixed convection parameter. These numerical studies are complemented by the derivation of the asymptotic limits of the system parameters. A stability analysis is performed, showing that the upper branch is stable and physically realizable, whereas the lower branch solutions are unstable.