Far-wake flows downstream of cylinders: a novel generalized similarity method

Bose, Sujit K. ; Dey, Subhasish (2018) Far-wake flows downstream of cylinders: a novel generalized similarity method European Journal of Mechanics - B/Fluids, 67 . pp. 65-69. ISSN 0997-7546

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.euromechflu.2017.08.008


The nonlinear momentum equation for turbulent far-wake flow downstream of a cylinder is derived from the Reynolds averaged Navier–Stokes equations and solved by iteration and generalized similarity solution. The first-order Oseen-type linearization yields for the wake boundary layer width a series, whose terms vary as x1/2, x-1/2, x-3/2 etc., where x is the streamwise distance from the center of cylinder. The velocity deficit from the free-stream velocity is similarly obtained as a series and the iteration is carried over to a second-order. This method is then applied to the problem of an array of cylinders. Both turbulent and laminar far-wake flow cases are analyzed. The series solutions broadly extend the earlier findings. The first-order solutions agree in form with those stated in the book of Schlichting (1979).

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:2-D Wake; Clarkson–Kruskal Similarity Method; Fluid Dynamics; Fluid Flow; Hydraulics; Hydrodynamics; Oseen-type Approximation; RANS; Turbulent Flow; Wakes
ID Code:112155
Deposited On:18 Sep 2017 09:20
Last Modified:18 Sep 2017 09:20

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