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Keywords: rough surface
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Journal Articles
Journal of Ship Research 32 (04): 229–237.
Paper Number: SNAME-JSR-1988-32-4-229
Published: 01 December 1988
...Paul S. Granville Algebraic formulas are derived here for the eddy viscosities and mixing lengths of turbulent boundary layers on flat plates. The effect of low Reynolds numbers, especially on rough surfaces, is included. The formulas are based on the similarity laws and the equations of motion...
Journal Articles
Journal of Ship Research 31 (03): 189–206.
Paper Number: SNAME-JSR-1987-31-3-189
Published: 01 September 1987
... Layer ship research Colebrook hull surface rough surface clauser function drag coefficient topography equation Journal of Ship Research, Vol. 31, No. 3, Sept. 1987, pp. 189-206 The Full-Scale Viscous Drag of Actual Ship Surfaces and the Effect of Quality of Roughness on Predicted Power Chr i...
Journal Articles
Journal of Ship Research 31 (01): 70–77.
Paper Number: SNAME-JSR-1987-31-1-70
Published: 01 March 1987
...Paul S. Granville Three indirect methods for characterizing the drag of an arbitrarily rough surface on a flat plate are derived or rederived from the similarity laws of turbulent shear flows. These are: the well-known procedure using displacement thickness; the probably not-so-well-known procedure...
Journal Articles
Journal of Ship Research 29 (04): 223–233.
Paper Number: SNAME-JSR-1985-29-4-223
Published: 01 December 1985
...Paul S. Granville Mixing lengths are formulated for turbulent boundary layers over arbitrarily rough surfaces from both the van Driest and the Rotta procedures. The associated eddy viscosities and the associated turbulent kinetic energies and turbulent dissipation rates are also formulated. 1...
Journal Articles
Journal of Ship Research 29 (02): 94–104.
Paper Number: SNAME-JSR-1985-29-2-94
Published: 01 June 1985
... quality roughness pipe velocity loss function loss function Upstream Oil & Gas plane Boundary Layer drag coefficient experiment rough surface waveform reynolds number coefficient roughness height Colebrook topography equation Journal of Ship Research, Vol. 29, No. 2, June 1985, pp...
Journal Articles
Journal of Ship Research 17 (04): 181–195.
Paper Number: SNAME-JSR-1973-17-4-181
Published: 01 December 1973
...Paul S. Granville The resisting torque of disks rotating in an unbounded fluid is analyzed on the basis of three-dimensional boundary-layer theory. Smooth and rough surfaces in ordinary fluids and in drag-reducing polymer solutions are considered. A general logarithmic relation is derived for the...
Journal Articles
Journal of Ship Research 2 (04): 52–74.
Paper Number: SNAME-JSR-1958-2-4-52
Published: 01 December 1958
..., for calculations of turbulent boundary layers in pressure gradients on rough surfaces, relations are derived for the local skin friction and velocity-profile shape parameter in terms of momentum-thickness Reynolds number. Simplified relations also are derived for the velocity profile of the...

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