Follow up the derivations leading to the Blasius equation leading to

\[f^{\prime \prime \prime}+f f^{\prime \prime}=0\]

A useful routine to solve this is BVP4C in MATLAB. Solve the Blasius equation using this routine, and compare your answer with the results in Table 15.1. In particular, use the boundary condition of \(f^{\prime}=2\) at \(\eta=5\) rather than at infinity as an approximation. The other conditions at \(\eta=0\) are \(f=0\) and \(f^{\prime}=0\).
You may wish to extend this for Falkner-Skan flow and show the effect of the \(m\) parameter on the wall shear stress.

Transcribed Image Text:

Table 15.1. Solution to Blasius flow using the program THIRD.FOR; note that m = 0 for this case of a flat plate f f' f" 0.00 0.0000 0.0000 1.3284 0.20 0.0266 0.2655 1.3260 0.40 0.1061 0.5294 1.3096 0.60 0.2380 0.7876 1.2664 0.80 0.4283 1.0336 1.1867 1.00 0.6500 1.2596 1.0670 2.00 2.3058 1.9110 0.2570 3.00 4.2796 1.9980 00096 4.00 6.272 2.0000 0.0000 5.00 8.2792 2.0000 0.0000