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September 2nd, 2014, 10:04 AM  #1 
Newbie Joined: Sep 2013 Posts: 3 Thanks: 0  Real part of the complex potential(flow function)
Hi collegesmathematicians, just wondering if you could help me solve some tricky staff which I spend a lot of time on, and which kinda stops progress on my assignment Find the real part (velocity potential) of the complex potential: f(z)=0.5*z*sqrt(a^2z^2)+i(0.5*z^2) Thanx!!! 
September 3rd, 2014, 01:34 AM  #2 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,099 Thanks: 703 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
Taking the real part just means ignoring all terms with $\displaystyle i$ in them, so the real part of $\displaystyle f(z) = \frac{z}{2}\sqrt{a^2z^2}  \frac{1}{2}i(z^2)$ is $\displaystyle Re\{f(z)\} = \frac{1}{2}z\sqrt{a^2z^2}$ If $\displaystyle z$ is complex you have to substitute it in first before making this step. 
September 3rd, 2014, 02:19 AM  #3  
Newbie Joined: Sep 2013 Posts: 3 Thanks: 0  Quote:
Sorry, i have forgotten to define z, it s a complex number, which makes it kinda difficult to split the f function: z=x + i*y Last edited by Bogdano; September 3rd, 2014 at 02:23 AM.  

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