Blasius solution for a flat plate-MATLAB
Hello,I am here again with a new blog. which would discuss the topic of basic fluid mechanics. If we consider the flow over the flat plate & simplify momentum and continuity equations, there would be an x momentum equation(y momentum equation is inbuilt) and the continuity equation. For the flat plate, there would be no pressure gradient term in the x direction; which would turn out to be dp/dx=0. One should be aware that boundary layer equations are valid under i) Re>>1 ii) No boundary layer separation. So, we have two boundary layer equations, which are non-linear partial differential equations. To solve them it is required to write them in the form of ordinary differential equations, which can be done by doing stretching (similarity) transformation, so that equation would be a single variable function; lots of efforts were done by Blasius for this transformation. Blasius showed that velocity distribution downstream of the plate merges into a single curve, only if it has a ...
