Boundary Layer on a V-Shaped Body

We shall now investigate a plane problem involving laminar flow past a V-shaped body (a wedge). In a potential flow of an ideal fluid past the front critical point 

Here the X-axis is directed along the wedge surface, A is a constant, and the exponent m and angle w are related by [427] 

The steady-state flow in the plane boundary layer near the surface of a V-shaped body is described by system (1.8.1), where the F-axis is directed along the normal to the wedge surface (given by F = 0), p is the fluid density, Vx and Vy are, respectively, the longitudinal and transverse components of the fluid velocity, and U = U(X) is defined by Eq. (1.8.4). 

In the special case m = 0, problem (1.8.1)—(1.8.3) is reduced to problem (1.7.2)-(1.7.3)for the steady-state flow past a flat plate. The value m = 1, which corresponds to the angle u) = ir, characterizes the plane flow near the critical line. 

To estimate the value of the second derivative, one can use the approximate formula [359] 

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