This lesson covers the concept of laminar free shear flows, focusing on the free shear layer between two streams with different velocities. It explains how a velocity gradient forms when two different streams meet and continue in the axial direction. The lesson introduces the concept of similarity variables used by Blesius to solve this problem and explains how to write down the similarity variable. It also discusses the boundary layer equation and how to solve it using similarity variables. The lesson further delves into the boundary conditions for each layer and the use of asymptotic approach to true stream velocities. It also explains the use of numerical methods like finite difference method, finite volume method or finite element method to solve the boundary layer equation. The lesson concludes with a discussion on the use of explicit and implicit methods to discretize the boundary layer equation and the boundary conditions.

- The free shear layer between two streams with different velocities creates a velocity gradient.
- The concept of similarity variables, introduced by Blesius, is used to solve the problem of free shear flows.
- The boundary layer equation can be solved using similarity variables.
- Boundary conditions for each layer are important and the asymptotic approach to true stream velocities is used.
- Numerical methods like finite difference method, finite volume method or finite element method can be used to solve the boundary layer equation.
- Both explicit and implicit methods can be used to discretize the boundary layer equation.
- The boundary conditions are crucial in solving the boundary layer equation.

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