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Entry flow in curved pipes: turbulent boundary layer approach

Author(s): SK Zeeshan Ali; Subhasish Dey

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Keywords: Boundary layer; hydraulics; pipe flow; steady flow; turbulent flow

Abstract: The development of secondary boundary layer for a steady entry of fluid flow in a horizontal curved pipe is analysed using the turbulent boundary layer approach. Outside the boundary layer (within the central core), the inviscid fluid motion is treated by using the Euler and the continuity equations, whereas inside the boundary layer, the Pohlhausen method is applied, assuming a one-seventh power law of velocity for solving the integrals of the Navier–Stokes equations. The growth of the secondary boundary layer is slow with an increase in azimuthal angle, while it is gradual along the outer pipe-wall with an increase in radial angle and becomes abruptly faster near the separation point. The wall shear stress decreases with azimuthal angle, whereas it increases with radial angle attaining a peak and then decreases to zero at the separation point along the outer pipe-wall.

DOI: https://doi.org/10.1080/00221686.2015.1086831

Year: 2016

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