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Longitudinally periodic viscous flows generated by a near-wall volume force

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Abstract

Two-dimensional steady-state flows of a viscous incompressible fluid over a fixed flat boundary, generated by a periodic near-wall volume force, are studied. The corresponding boundary-value problems for the Navier - Stokes equations are calculated using the expansion of the required solutions in a Fourier series in the longitudinal coordinate and a second-order finite-difference approximation in the vertical coordinate. The dependence of the far flow field on the force parameters is investigated.

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Correspondence to S. V. Manuilovich.

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Original Russian Text © S.V. Manuilovich, 2015, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2015, Vol. 50, No. 4, pp. 59–67.

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Manuilovich, S.V. Longitudinally periodic viscous flows generated by a near-wall volume force. Fluid Dyn 50, 514–521 (2015). https://doi.org/10.1134/S0015462815040067

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  • DOI: https://doi.org/10.1134/S0015462815040067

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