Abstract
We analyze the spatial anisotropic profiles at infinity of steady Stokes and Navier–Stokes flows around a rotating obstacle. It is shown that the Stokes flow is largely concentrated along the axis of rotation in the leading term and that a rotating profile can be found in the second term. The leading term for Navier–Stokes flow will be an adequate Landau solution. The proofs rely upon a detailed analysis of the associated fundamental solution tensor.
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Toshiaki Hishida was supported in part by Grant-in-Aid for Scientific Research, No. 19540170, from the Japan Society for the Promotion of Science.
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Farwig, R., Hishida, T. Asymptotic profiles of steady Stokes and Navier–Stokes flows around a rotating obstacle. Ann. Univ. Ferrara 55, 263–277 (2009). https://doi.org/10.1007/s11565-009-0072-6
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DOI: https://doi.org/10.1007/s11565-009-0072-6