# Pohlhausen energy equation MATLAB help

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 May 3, 2010, 13:16 Pohlhausen energy equation MATLAB help #1 New Member   Abe Join Date: May 2010 Posts: 4 Rep Power: 9 Hi all, I am completely new to this forum, and am impressed with the amount of knowledge posted here! I am taking few heat transfer and fluid courses this term, and one of them involves deriving solution for the Blasius equation and the Pohlhausen equation in MATLAB. I am not very familiar with MATLAB and don't know how to go about doing so. Both solutions are going to be in tabular form. Blasius equation: 2f'''+ff''=0 with B.C. f'(0)=df/d(eta) @ eta=0 = 0, f(0)=0, and f'(inf)=df/d(eta) @ eta=inf = 1. Pohlhausen equation: Tstar''+0.5fTstar'Pr=0 with B.C. Tstar(0)=0 and Tstar(inf)=1 I am more concerned with the second equation. Can anyone guide me in how to implement this in MATLAB? I really appreciate all your help! Thanks, Abe

 May 3, 2010, 13:38 #2 Senior Member   Join Date: Nov 2009 Posts: 411 Rep Power: 13 Hello, if you know how to implement Blasius, just apply the same procedure for Polhausen, use a Runge-Kutta method combined with shooting method to tune Tstar'(0)=T_tuned, where T_tuned must satisfy Tstar(inf)=1. Do

 May 3, 2010, 16:58 #3 New Member   Abe Join Date: May 2010 Posts: 4 Rep Power: 9 That's the thing though. I don't know how to implement the Blasius equation in matlab. I have been reading about it ODE45 function in MATLAB and information on runge-kutta and shooting method, but still lost.

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