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Flow along a long thin cylinder

  • O. R. TUTTY (a1)
Abstract

Two different approaches have been used to calculate turbulent flow along a long thin cylinder where the flow is aligned with the cylinder. A boundary-layer code is used to predict the mean flow for very long cylinders (length to radius ratio of up to O(106)), with the effects of the turbulence estimated through a turbulence model. Detailed comparison with experimental results shows that the mean properties of the flow are predicted within experimental accuracy. The boundary-layer model predicts that, sufficiently far downstream, the surface shear stress will be (almost) constant. This is consistent with experimental results from long cylinders in the form of sonar arrays. A periodic Navier–Stokes problem is formulated, and solutions generated for Reynolds number from 300 to 5×104. The results are in agreement with those from the boundary-layer model and experiments. Strongly turbulent flow occurs only near the surface of the cylinder, with relatively weak turbulence over most of the boundary layer. For a thick boundary layer with the boundary-layer thickness much larger than the cylinder radius, the mean flow is effectively constant near the surface, in both temporal and spatial frameworks, while the outer flow continues to develop in time or space. Calculations of the circumferentially averaged surface pressure spectrum show that, in physical terms, as the radius of the cylinder decreases, the surface noise from the turbulence increases, with the maximum noise at a Reynolds number of O(103). An increase in noise with a decrease in radius (Reynolds number) is consistent with experimental results.

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A. L. W. Bokde , R. M. Lueptow & B. Abraham 1999 Spanwise structure of wall pressure on a cylinder in axial flow. Phys Fluids 11, 151161.

M. K. Bull 1996 Wall-pressure fluctuations beneath turbulent boundary layers: some relections on forty years of research. J. Sound Vib. 190, 299315.

K. M. Cippola & W. L. Keith 2003 aHigh Reynolds number thick axisymmetric turbulent boundary layer measurements. Exps. Fluids 35, 477485.

J. M. Corcos 1963 Resolution of pressure in turbulence. J. Accoust. Soc. Am. 35, 192199.

N. Denli & L. Landweber 1979 Thick axisymmetric turbulent boundary layer on a circular cylinder. J. Hydronautics 13, 92104.

A. Knight 1996 Flow noise calculations for extened hydrophones in fluid and solid-filled arrays. J. Accoust. Soc. Am. 100, 245251.

R. M. Lueptow 1990 Turbulent boundary layer on a cylinder in axial flow. AIAA J. 28, 17061706.

R. M. Lueptow & J. H. Haritonidis 1987 The structure of the turbulent boundary layer on a cylinder axial flow. Phys. Fluids 30, 29933005.

R. M. Lueptow & C. P. Jackson 1991 Near-wall streaky structure in a turbulent boundary layer on a cylinder. Phys Fluids 3, 28222824.

R. M. Lueptow , P. Leehey & T. Stellinger 1985 The thick, turbulent boundary layer on a cylinder: mean and fluctuating velocities. Phys Fluids 28, 34953505.

H. G. Nepomuceno & R. M. Lueptow 1997 Pressure and shear stress measurements at the wall in a turbulent boundary layer on a cylinder. Phys Fluids 9, 27322739.

N. Nikitin 2006 Third-order accurate semi-implicit Runge–Kutta scheme of the incompressible Navier–Stokes equations. Intl J. Numer. Meth. Fluids 51, 221233.

R. A. Seban & R. Bond 1951 Skin-friction and heat-transfer characteristics of a laminar boundary layer on a cylinder in axial compressible flow. J. Aero. Sci. 18, 671675.

O. R. Tutty , W. G. Price & A. T. Parsons 2002 Boundary layer flow on a long thin cylinder. Phys. Fluids 14, 628637.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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