# Velocity and Temp. profiles for stagnation point (m=1)

1. Apr 10, 2007

### mejia198021

Hi,

Can anyone assist me in the findings of the velocity and temp. profiles for stagnation point flow (m=1) for Varoius values of Pr (.6,1,1.5,5,10). At this moment I am using Matlab's ode45 to solve this problem along with applying the Blasius Eqn (f''' +1/2f*f''=0) and Energy Eqn. (2*theta''+Pr*f*theta'=0). I have been reading on the use of ode45 and I think I know what I need to do, but I am not sure how to incorporate the above equations along with the B.C. that are f'=0, f=0, theta=o and phi=0.

Can someone please suggest any info., that would be great.

so far this is what I have in my M-file - this is the main part of the code:

ti=0.0;
tf=15.0;
tintval=[ti tf];
bcinit=[0.0 0.0 0.33206];

[t,y]= ode45(@stagnation,tintval,bcinit);

%t=the scalar time
%y=the column vector
%ode45 is the solver
%@rigid is the function handle calling function
%[0.0 15.0] is the time to be evaluated from ti to tf
%[0.0....etc] is the initial conditions

this next part is the function that is being called by ode45:

function df=stagnation(t,f)

dfdt = [

Of course it is not much, but that is why I need some help. Thank you