# Johnson-King model

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It is also categorized as half-equation model, because it essentially solves for an Ordinary Differential Equation (ODE) rather than a Partial Differential Equation (PDE) (Normally for popular turbulence models transport equations are solved which are PDE's). This model solves for a transport equation for the maximum shear stress. It was not developed to be a universal model, rather to solve only for turbulent boundary layer flows with strong adverse pressure gradient.

## References

• Johnson, D.A. and King, L.S. A mathematically simple turbulence closure model for attached and separated turbulent boundary layers, AIAA Journal, 23, 1684-1692, 1985.