Abstract
In order to investigate a suction-driven circular flow within an annular tube formed by two coaxial porous cylinders, a mathematical model expressed as a nonlinear two-point boundary-value problem is achieved. In seeking solutions of the problem, the results obtained reveal the existence of a hydrodynamic turning point among the main physical settings of the study. The dynamics of the fluid is examined through three solution branches Fr, S1 and S2 that form this turning point. By increasing the Reynolds number above the turning point, regions where the fluid moves in the counterclockwise direction are observed through the first branch Fr and the secondary branch of type S2 near the inner and the outer cylinders, respectively. Due to this described behavior, solutions of types Fr and S2 seem to be mirror images of each other. A flow of the boundary layer type takes place through the secondary branch of type S1 for great values of the Reynolds number. This boundary layer causes the radial velocity to approach a linear profile at the same constant curve for different Reynolds numbers.
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