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• W4379514295 abstract "Abstract Accurately determining the wall-shear-stress, $$tau _textrm{w}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>τ</mml:mi> <mml:mtext>w</mml:mtext> </mml:msub> </mml:math> , experimentally is challenging due to small spatial scales and large velocity gradients present in the near-wall region of turbulent flows. To avoid these resolution requirements, several indirect iterative fitting methods, most notably the Clauser chart method, exist for determining $$overline{tau }_{w}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mover> <mml:mi>τ</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi>w</mml:mi> </mml:msub> </mml:math> by fitting the mean velocity profile further away from the near-wall region in the log-law layer. These methods often require proper selection of fitting constants, assumptions of a canonical flow state, and other empirical-based generalizations. To reduce the amount of ambiguity, determining the near-wall velocity gradient by assuming a linear relationship between the mean streamwise velocity and wall normal distance in the viscous sublayer can be used. However, this requires an accurate unbiased measurement of the near-wall velocity profile in the region below five viscous spatial units, which can be less than 50 µm for high Reynolds number flows. Therefore, in this study a method for a volumetric defocusing microparticle tracking velocimetry method is presented that is capable of resolving the flow in the viscous sublayer of a turbulent boundary layer up to $$U_{textrm{e}}=44.7,$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>U</mml:mi> <mml:mtext>e</mml:mtext> </mml:msub> <mml:mo>=</mml:mo> <mml:mn>44.7</mml:mn> <mml:mspace /> </mml:mrow> </mml:math> m/s ( $$Re_{theta }=27250$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>R</mml:mi> <mml:msub> <mml:mi>e</mml:mi> <mml:mi>θ</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:mn>27250</mml:mn> </mml:mrow> </mml:math> ). This method allows for the measurement of the near-wall flow through a single optical access for illumination and imaging and serves as an excellent complement of larger scale measurements that require near-wall information. The $$overline{tau }_textrm{w}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mover> <mml:mi>τ</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mtext>w</mml:mtext> </mml:msub> </mml:math> values determined from the defocusing approach were found to be in good agreement values obtained from a simultaneous parallax PTV measurement. Furthermore, analysis of the diagnostic plot and cumulative distribution of measured fluctuations in the near-wall region, showed that both methods are capable of accurately determining mean velocity and fluctuation profiles in the self-similar viscous sublayer region." @default.
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• W4379514295 date "2023-06-01" @default.
• W4379514295 modified "2023-10-18" @default.
• W4379514295 title "Wall-shear-stress measurements using volumetric µPTV" @default.
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• W4379514295 doi "https://doi.org/10.1007/s00348-023-03656-1" @default.
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