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Steady flow across a confined square cylinder: effects of power-law index and blockage ratio. (English) Zbl 1145.76007
Summary: The effect of blockage ratio on the flow characteristics of power-law fluids across a square cylinder confined in a channel has been investigated for the range of conditions \(1 \leq Re \leq 45\), \(0.5 \leq n \leq 2.0\) and \(\beta = 1/8\), 1/6 and 1/4. Extensive numerical results on the individual and total drag coefficients, wake length, stream function, vorticity and power-law viscosity on the surface of the square cylinder are reported to determine the combined effects of the flow behavior index, blockage ratio and Reynolds number. The size of the wake region is influenced more by blockage than by power-law index. Similarly, drag is also seen to be more influenced by blockage ratio and by Reynolds number than that by the power-law index.

MSC:
76A05 Non-Newtonian fluids
76M12 Finite volume methods applied to problems in fluid mechanics
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