chapter  6
26 Pages

Convection-diffusion problems with frictionless walls

We remark that there are various kinds of parabolic boundary layers. How­ ever, in this chapter, we restrict the discussion to the kind that arises typically when we study the temperature in a fluid flowing parallel to a hot frictionless wall, as illustrated in Fig. 6.1. Because there is no friction on the wall the fluid slips easily along the wall, and no boundary layer is formed in the velocity pro­ file of the fluid. However, there is a parabolic boundary layer in the temperature profile of the fluid near the hot wall, because it heats the fluid close to the wall. Parabolic boundary layers are different from regular boundary layers, because they are rich in complexity. Moreover, they are not as thin as regular boundary layers.