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Far-wake flows downstream of cylinders: a novel generalized similarity method. (English) Zbl 1408.76213

Summary: 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 \(x^{1/2}\), \(x^{-1/2}\), \(x^{-3/2}\) 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 H. Schlichting [Boundary-layer theory. New York etc.: McGraw-Hill Book Company. (1979; Zbl 0434.76027)].

MSC:

76D25 Wakes and jets
76D05 Navier-Stokes equations for incompressible viscous fluids

Citations:

Zbl 0434.76027
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References:

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