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Numerical solution of the Falkner-Skan equation for various wedge angles

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Numerical solution of the Falkner-Skan equation for various wedge angles


Housam Binous (view profile)


21 Jan 2006 (Updated )

Solves the Falkner-Skan equation

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Flow past a wedge is governed by the Falkner-Skan equation. This equation admits only numerical solution, which requires the application of the shooting technique. The program plots the velocity for various wedge angles. The result obtained is in agreement with figure 8-10 in page 352 of Deen's book (Analysis of Transport Phenomena, William M. Deen, OUP, 1998). The well-known Blasius equation appears as a particular case in this study. It represents the flow past a flat plate (parameter beta=0). Planar stagnation flow is also treated by the notebook (parameter beta=1).

Also visit this link for similar treatment using Mathematica:

Required Products Optimization Toolbox
MATLAB release MATLAB 7.0.1 (R14SP1)
Other requirements windows
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Comments and Ratings (10)
27 Dec 2013 Reza Rohani

how can I change value of m ? I want solve it for beta=1.666 .

Comment only
29 Oct 2010 Sohaib Obeid

I found this code very useful and efficient to solve Blasuis equation. I compared the results of this code with another script (self made) and I got closed results with very minor errors. My code based in ''Spectral Techniques''.

I appreciate what Dr. Housam did and hope to see many other useful works from him.

I have to say, thanks Dr. Housam for what you did.


Sohaib Obeid

Comment only
29 May 2008 moh jamal  
17 Jan 2008 duygu ba?aran  
27 Nov 2007 Bashar Qawasmeh  
15 Nov 2007 ehsan afrasiabian  
11 Jan 2007 Pourya Ahmadi

Thanks for your costructing this site.
if you solve Exact solution for flow over a flat plate (Blasius equation)and similarity solution to low speed energy equation it will be better.

13 Nov 2006 masoud dehgandokht  
25 Jun 2006 Mike Munroe

Matlab is such a high level language that you dont HAVE to have comments, especially if you are familiar with the problem. I found this to be very useful for working through problems in heat transfer

26 Jan 2006 Duane Hanselman

Not a function. No inputs. No usable outputs. No help text. No value.

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