English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Despite its limitations, Prandtl's mixing length model is widely applied inmodelling turbulent free shear flows. Prandtl's extended model addresses manyof the shortfalls of the original model, but is not so widely used, in part dueto additional mathematical complexities that arise in its derivation andimplementation. Furthermore, in both models Prandtl neglects the kinematicviscosity on the basis that it is much smaller in magnitude than the turbulentviscosity. Recent work has shown that including the kinematic viscosity in theoriginal model has both mathematical and physical advantages. In the presentwork, a novel derivation of the extended model is provided, and it isdemonstrated that similar advantages are again obtained when the kinematicviscosity is included. Additionally, through the use of scaling techniques,similarity mean velocity profiles of the extended model are derived, resultingin a single nonlinear ordinary differential equation that is solved numericallywith a Hermite spectral method. The computed profiles for the normalisedsimilarity mean velocity and shear stress are compared to experimentalobservations and shown to be in excellent agreement.

Prandtl's extended mixing length model applied to the two-dimensional turbulent classical far wake