Titlebook: Boundary-Layer Theory; Herrmann Schlichting,Klaus Gersten Book 2000Latest edition Springer-Verlag Berlin Heidelberg 2000 Dissipation.Navie

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https://doi.org/10.1007/978-3-662-25370-0The examples of solutions of the boundary-layer equations treated up until now have been those for steady flows. Although it is steady flows which are by far of greatest importance in practical applications, in this chapter we will treat some cases of boundary layers which vary in time, that is, unsteady boundary layers.

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General Properties and Exact Solutions of the Boundary—Layer Equations for Plane FlowsBefore further examples of the calculation of boundary layers are treated in the next chapter, some general properties of boundary-layer equations will be discussed. We will confine ourselves to steady, two-dimensional, incompressible boundary layers.

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Approximate Methods for Solving the Boundary-Layer Equations for Steady Plane FlowsIn order to calculate the flow in the boundary layer, in general partial differential equations must by solved. Today there are many very effective and precise numerical methods available, as will be shown in Chap. 23.

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Axisymmetric and Three-Dimensional Boundary LayersIn the previous chapters, the calculation of boundary layers was restricted to the plane case, where the two velocity components depended only on two spatial coordinates. There was no velocity component present in the direction of the third spatial coordinate.

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Exact Solutions of the Navier-Stokes Equationsse of the principle of superposition which served so well in the case of inviscid incompressible potential flows. In spite of this, there are some special cases where exact solutions can be given, and this is most often true when the nonlinear inertial terms vanish in a natural way.

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