%0 Journal Article %1 chen2023universal %A Chen, Peng E.S %A Wu, Wen %A Griffin, Kevin P. %A Shi, Yipeng %A Yang, Xiang I.A %B Journal of Fluid Mechanics %D 2023 %K wall_turb %P A3-- %R DOI: 10.1017/jfm.2023.570 %T A universal velocity transformation for boundary layers with pressure gradients %U https://www.cambridge.org/core/article/universal-velocity-transformation-for-boundary-layers-with-pressure-gradients/0A02295DE2822A4B402D58C3735B49BD %V 970 %X The logarithmic law of the wall does not capture the mean flow when a boundary layer is subjected to a strong pressure gradient. In such a boundary layer, the mean flow is affected by the spatio-temporal history of the imposed pressure gradient; and accounting for history effects remains a challenge. This work aims to develop a universal mean flow scaling for boundary layers subjected to arbitrary adverse or/and favourable pressure gradients. We derive from the Navier–Stokes equation a velocity transformation that accounts for the history effects and maps the mean flow to the canonical law of the wall. The transformation is tested against channel flows with a suddenly imposed adverse or favourable pressure gradient, boundary layer flows subjected to an adverse pressure gradient, and Couette–Poiseuille flows with a streamwise pressure gradient. It is found that the transformed velocity profiles follow closely the equilibrium law of the wall.

@article{chen2023universal, abstract = {The logarithmic law of the wall does not capture the mean flow when a boundary layer is subjected to a strong pressure gradient. In such a boundary layer, the mean flow is affected by the spatio-temporal history of the imposed pressure gradient; and accounting for history effects remains a challenge. This work aims to develop a universal mean flow scaling for boundary layers subjected to arbitrary adverse or/and favourable pressure gradients. We derive from the Navier–Stokes equation a velocity transformation that accounts for the history effects and maps the mean flow to the canonical law of the wall. The transformation is tested against channel flows with a suddenly imposed adverse or favourable pressure gradient, boundary layer flows subjected to an adverse pressure gradient, and Couette–Poiseuille flows with a streamwise pressure gradient. It is found that the transformed velocity profiles follow closely the equilibrium law of the wall.}, added-at = {2023-08-31T01:09:23.000+0200}, author = {Chen, Peng E.S and Wu, Wen and Griffin, Kevin P. and Shi, Yipeng and Yang, Xiang I.A}, biburl = {https://www.bibsonomy.org/bibtex/2cae8b5076af43af5e9407dbad088730e/mzwangpku}, booktitle = {Journal of Fluid Mechanics}, description = {A universal velocity transformation for boundary layers with pressure gradients | Journal of Fluid Mechanics | Cambridge Core}, doi = {DOI: 10.1017/jfm.2023.570}, interhash = {fcb66c49cf9148228e297745f66593b4}, intrahash = {cae8b5076af43af5e9407dbad088730e}, issn = {00221120}, keywords = {wall_turb}, pages = {A3--}, timestamp = {2023-08-31T01:09:23.000+0200}, title = {A universal velocity transformation for boundary layers with pressure gradients}, url = {https://www.cambridge.org/core/article/universal-velocity-transformation-for-boundary-layers-with-pressure-gradients/0A02295DE2822A4B402D58C3735B49BD}, volume = 970, year = 2023 }