BLASIUS EQUATION Solution with Finite Difference Method

AI Thread Summary
The discussion focuses on solving the Blasius equation using the finite difference method for a two-dimensional, incompressible flow over a flat plate. The boundary layer equations are simplified with a similarity variable, leading to the equation 2f''' + ff'' = 0, with specified boundary conditions for no slip at the wall and merging into the inviscid solution. Participants are tasked with obtaining a numerical solution to this equation and plotting the results for f' and f as functions of n. Additionally, the shear stress on the wall is evaluated by determining f''(0) from the numerical solution. The conversation emphasizes the application of numerical methods to fluid dynamics problems.
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1) Using a similarity variable, the boundary layer equations for a two-dimensional, incompressible flow over a flat plate can be written below:

2f'''+ff''=0


The boundary conditions are:

a) f ' (0) = 0, no slip at the wall
b) f(0)=0, solid wall
c) f ' (n) goes 1 as n goes infinity boundary layer solution merges into the inviscid solution.

I) using finite difference method, obtain a numerical solution of this equation. Plot f ' and f as a function n.
II) The shear stress on the wall requires f " (0) to be determined. From the numerical solution compute f " (0).
 
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