Two Dimensional Incompressible Flow — Lesson 4

This lesson covers the concept of Two Dimensional Incompressible Flow, focusing on both steady and unsteady cases. It explains the Laplace equation and its boundary conditions, and discusses the thickness problem and lifting problem. The lesson also delves into the concept of disturbance pressure and how it affects the velocity and pressure of the flow. It further explains the potential of a vortex and how it can be used to represent an airfoil. The lesson concludes with the calculation of lift and moment expressions, and the identification of the aerodynamic center. For instance, it explains how a vortex can replace an airfoil, satisfying boundary conditions and leading to a potential solution for the flow.

Video Highlights

01:38 - Discussion on steady flow boundary condition.
07:00 - Explanation of velocity potential for a vortex.
13:10 - Explanation of boundary conditions and pressure expression.
35:15 - Discussion on the concept of singular integral.
54:44 - Calculation of lift and moment for an airfoil.
64:25 - Explanation of aero dynamic center.

Key Takeaways

- The Laplace equation and its boundary conditions play a crucial role in understanding Two Dimensional Incompressible Flow.
- The thickness problem and lifting problem are key aspects to consider when dealing with incompressible flow.
- Disturbance pressure can significantly affect the velocity and pressure of the flow.
- A vortex can be used to represent an airfoil, which can lead to a potential solution for the flow.
- The lift and moment expressions can be calculated using the concepts discussed in the lesson.
- The aerodynamic center is the point where the moment is independent of the angle.