Influence of the amplitude of a solid wavy wall on a turbulent flow. Part 1. Non-separated flows

DOI Web Site 被引用文献4件

書誌事項

公開日
1977-08-19
権利情報
  • https://www.cambridge.org/core/terms
DOI
  • 10.1017/s0022112077000524
公開者
Cambridge University Press (CUP)

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説明

<jats:p>Measurements of the shear-stress variation along and the velocity profiles above a solid wavy wall bounding a turbulent flow are presented for waves with height-to-length ratios of 2<jats:italic>a</jats:italic>/λ = 0·0312 and 0·05. These are compared with previous measurements of the wall shear stress reported by Thorsness (1975) and by Morrisroe (1970) for 2<jats:italic>a</jats:italic>/λ = 0·012. The investigation covered a range of conditions from those for which a linear behaviour is observed to those for which a separated flow is just being initiated.</jats:p><jats:p>Pressure measurements indicate a linear response in that the spatial variation is described quite well by a single harmonic with a wavelength equal to that of the surface. However, the variation of τ<jats:sub><jats:italic>w</jats:italic></jats:sub> for waves with 2<jats:italic>a</jats:italic>/λ = 0·0312 and 0·05 can be more rapid on the leeward side of the wave. The degree of departure from a sinusoidal variation increases with increasing wave height and fluid velocity and, from the results reported in this paper, it is suggested that nonlinear behaviour will become evident when <jats:italic>au</jats:italic>*/<jats:italic>v</jats:italic> [ges ] 27.</jats:p><jats:p>Many aspects of the flow for all three waves are described by a solution of the linear momentum equations previously presented by Thorsness (1975) and by Thorsness & Hanratty (1977). These include the phase and amplitude of the pressure profile and the first harmonic of the shear-stress profile and the velocity field outside the viscous wall region.</jats:p><jats:p>These results suggest that up to separation the flow is approximated quite well by linear theory. Nonlinearities affect the flow only in a region very close to the wave surface and are manifested by the appearance of higher harmonics in the variation of τ<jats:sub><jats:italic>w</jats:italic></jats:sub>.</jats:p>

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