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November 25, 1974Journal of Fluid Mechanics187 citations

A boundary layer developing in an increasingly adverse pressure gradient

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ASA. E. SamuelPJP. N. Joubert

Key Points

  • This study investigates the behavior of a turbulent boundary layer developing in a setting with an adverse pressure gradient.
  • Survey of mean flow and fluctuating quantities in a turbulent boundary layer on a smooth wall
  • Momentum balance checks and velocity traverses measured around the center-line
  • Comparison of findings with existing boundary-layer development models using momentum integral equation
  • Skin friction and summed momentum and pressure terms differed by up to 19%; most measuring points differed by less than 14%
  • Off-center-line velocity profiles were similar to center-line profiles
  • Results aligned with existing models, supporting the law of the wall as the primary model for boundary-layer development.

Abstract

This paper deals with a survey of mean flow and fluctuating quantities in a turbulent boundary layer developing on a smooth wall in a pressure domain P (x), where both dP/dx and d 2 P/dx 2 are positive (increasingly adverse). The two-dimensional nature of the flow field was checked by momentum balance, as well as velocity traverses either side of the working section centre-line. Using the integrated form of the momentum integral equation, it was found that the skinfriction term and the summed momentum and pressure terms differed by at most 19%; but for the majority of measuring points they differed by less than 14%. The off-centre-line velocity profiles were indistinguishable from those taken on the centre-line. The flow field was also surveyed for fluctuating components (u²₁) ^1{2}, (u²₂) ^1{2}, (u²₃) ^1{2}, and u₁u₂, as well as for u 1 spectra. Wherever possible, the results were compared with existing models of boundary-layer development. These comparisons indicated that the only all-embracing model for boundary-layer development is the law of the wall.

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Cite This Study

Samuel et al. (1974) studied this question.

synapsesocial.com/papers/6a10ea2d8102eb4b66eeaceahttps://doi.org/10.1017/s0022112074000322
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