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Second-moment closure for the near-wall sublayer - Development and application

Brian E. Launder, Nobuyuki Shima

Open publisher page 371 citations

Abstract

This paper extends the widely used second-moment closure of Gibson and Launder so as to be applicable within the near-wall sublayer where viscous effects are substantial. This extension, which allows the usual log-law/local-equilibrium matching to be discarded, enables boundary-layer problems to be tackled where the flow structure in the inner region departs from what is usually termed the universal wall law. Applications are reported of the flat-plate boundary layer and three cases in which strong streamwise pressure gradients are imposed. Agreement with experiment is better than when the simpler A-e model is adopted.

About this research paper

What this paper is about

This paper extends the widely used second-moment closure of Gibson and Launder so as to be applicable within the near-wall sublayer where viscous effects are substantial. This extension, which allows the usual log-law/local-equilibrium matching to be discarded, enables boundary-layer problems to be tackled where the flow structure in the inner region departs from what is usually termed the universal wall law. Applications are reported of the flat-plate boundary layer and three cases in which strong streamwise pressure gradients are imposed. Agreement with experiment is better than when the simpler A-e model is adopted.

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OpenAlex reports 371 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper extends the widely used second-moment closure of Gibson and Launder so as to be applicable within the near-wall sublayer where viscous effects are substantial. This extension, which allows the usual log-law/local-equilibrium matching to be discarded, enables boundary-layer problems to be tackled where the flow structure in the inner region departs from what is usually termed the universal wall law. Applications are reported of the flat-plate boundary layer and three cases in which strong streamwise pressure gradients are imposed. Agreement with experiment is better than when the simpler A-e model is adopted.

Key concepts: Closure (psychology), Moment (physics), Mechanics, Materials science, Geology, Physics, Classical mechanics, Economics

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