Volume 1, Issue 3
Boundary Vorticity Flux and Engineering Flow Management

Jiezhi Wu, Hong Wu & Qiushi Li

Adv. Appl. Math. Mech., 1 (2009), pp. 353-366.

Published online: 2009-01

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  • Abstract

To improve the performance of complex viscous engineering flows, the focus should be on local dynamics (local processes and structures) measured by the space-time derivatives of the primary-variable fields, rather than these fields themselves. In the context of optimal flow management such as optimal configuration design and flow control, the local fluid dynamics on solid wall is of most direct relevance. For large Reynolds-number flows, we show that the on-wall local dynamics is highlighted by the balance between tangential pressure gradient and vorticity creation rate at the wall (boundary vorticity flux, BVF), namely the on-wall coupling of the compressing and shearing processes. This basic concept is demonstrated by previously unpublished and newly obtained numerical examples for external and internal flows, including the role of BVF as a faithful marker of the local appearance of boundary-layer separation and wall curvature discontinuity, and the use of BVF-based formulas to optimize the integrated performance of airfoil and compressor rotor blade.

  • Keywords

Aerodynamics, boundary vorticity flux, optimal design.

  • AMS Subject Headings

76D17, 76D55, 76N25, 76G25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-1-353, author = {Wu , Jiezhi and Wu , Hong and Li , Qiushi}, title = {Boundary Vorticity Flux and Engineering Flow Management}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2009}, volume = {1}, number = {3}, pages = {353--366}, abstract = {

To improve the performance of complex viscous engineering flows, the focus should be on local dynamics (local processes and structures) measured by the space-time derivatives of the primary-variable fields, rather than these fields themselves. In the context of optimal flow management such as optimal configuration design and flow control, the local fluid dynamics on solid wall is of most direct relevance. For large Reynolds-number flows, we show that the on-wall local dynamics is highlighted by the balance between tangential pressure gradient and vorticity creation rate at the wall (boundary vorticity flux, BVF), namely the on-wall coupling of the compressing and shearing processes. This basic concept is demonstrated by previously unpublished and newly obtained numerical examples for external and internal flows, including the role of BVF as a faithful marker of the local appearance of boundary-layer separation and wall curvature discontinuity, and the use of BVF-based formulas to optimize the integrated performance of airfoil and compressor rotor blade.

}, issn = {2075-1354}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aamm/8374.html} }
TY - JOUR T1 - Boundary Vorticity Flux and Engineering Flow Management AU - Wu , Jiezhi AU - Wu , Hong AU - Li , Qiushi JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 353 EP - 366 PY - 2009 DA - 2009/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aamm/8374.html KW - Aerodynamics, boundary vorticity flux, optimal design. AB -

To improve the performance of complex viscous engineering flows, the focus should be on local dynamics (local processes and structures) measured by the space-time derivatives of the primary-variable fields, rather than these fields themselves. In the context of optimal flow management such as optimal configuration design and flow control, the local fluid dynamics on solid wall is of most direct relevance. For large Reynolds-number flows, we show that the on-wall local dynamics is highlighted by the balance between tangential pressure gradient and vorticity creation rate at the wall (boundary vorticity flux, BVF), namely the on-wall coupling of the compressing and shearing processes. This basic concept is demonstrated by previously unpublished and newly obtained numerical examples for external and internal flows, including the role of BVF as a faithful marker of the local appearance of boundary-layer separation and wall curvature discontinuity, and the use of BVF-based formulas to optimize the integrated performance of airfoil and compressor rotor blade.

Jiezhi Wu, Hong Wu & Qiushi Li. (1970). Boundary Vorticity Flux and Engineering Flow Management. Advances in Applied Mathematics and Mechanics. 1 (3). 353-366. doi:
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