This lesson covers the concept of boundary layer flow over a wedge, where the free stream velocity outside the boundary layer is not constant but a function of the axial direction. The lesson explains the derivation of the Blasius equation, the assumptions considered for boundary layer flow over a wedge, and the concept of wedge parameters. It also discusses the special cases of flow over a flat plate and flow over a vertical flat plate. The lesson further delves into the similarity transformation, the von Mises transformation, and the Faulkner-Skan equation. It concludes with a discussion on displacement thickness and moment of thickness in the context of boundary layer flow.

- The Blasius equation is derived considering flow over a flat plate where the velocity outside the boundary layer is constant.
- In the case of boundary layer flow over a wedge, the free stream velocity outside the boundary layer is not constant but a function of the axial direction.
- The wedge parameter 'M' is introduced, which is a function of the wedge angle 'beta'.
- The von Mises transformation is used to find the derivative of the stream function.
- The Faulkner-Skan equation, a third-order non-linear ordinary differential equation, is derived using similarity transformation.
- The concept of displacement thickness is introduced, which is the distance by which the external potential flow is displaced as a consequence of the decrease in velocity in the boundary layer.

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