Abstract
In this chapter the boundary-layer equations, both for laminar and turbulent weakly interacting three-dimensional flow, are derived and discussed. Assumed as before is Newtonian fluid, calorically and thermally perfect gas, and steady flow. The basic considerations are made in Cartesian coordinates. With the boundary-layer equations the characteristic properties and the compatibility conditions for attached viscous flow are treated. This is easier to accomplish than with the Navier-Stokes equations. The results apply for the latter, too. The boundary-layer equations in general notation for surface oriented non-orthogonal curvilinear coordinates, the small cross-flow equations, and the equations in contravariant formulation are given in Appendix A.2. The latter permit a convenient treatment of cases with geometrical complexity and a compact formulation of higher-order equations.
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Hirschel, E.H., Cousteix, J., Kordulla, W. (2014). Boundary-Layer Equations for Three-Dimensional Flow. In: Three-Dimensional Attached Viscous Flow. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41378-0_4
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DOI: https://doi.org/10.1007/978-3-642-41378-0_4
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