Conditions of Compatibility at the Body Surface
The conditions of compatibility at the impermeable body surface, discussed in this section, are an extension of those for twodimensional incompressible boundary layers (SCHLICHTING ). These conditions relate flow variables and their derivatives at the body surface with each other. Such relationships are important not only for the understanding of the flow in the immediate neighbourhood of walls but also for series expansions of flow variables about a point on a surface. Here the continuity, Navier-Stokes and energy equations, as given in chapter 8.1 for locally monoclinic coordinates are considered for compressible flows. Consistent with the remainder of the book the compatibility conditions will be given for steady flows in terms of the surface metric tensor aαß for locally monoclinic coordinates.
Unable to display preview. Download preview PDF.