My Math Forum  

Go Back   My Math Forum > College Math Forum > Complex Analysis

Complex Analysis Complex Analysis Math Forum


Reply
 
LinkBack Thread Tools Display Modes
September 2nd, 2014, 10:04 AM   #1
Newbie
 
Joined: Sep 2013

Posts: 3
Thanks: 0

Real part of the complex potential(flow function)

Hi colleges-mathematicians, 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^2-z^2)+i(-0.5*z^2)

Thanx!!!
Bogdano is offline  
 
September 3rd, 2014, 01:34 AM   #2
Senior Member
 
Joined: Apr 2014
From: Glasgow

Posts: 2,119
Thanks: 710

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

$\displaystyle f(z) = \frac{z}{2}\sqrt{a^2-z^2} - \frac{1}{2}i(z^2)$

is

$\displaystyle Re\{f(z)\} = \frac{1}{2}z\sqrt{a^2-z^2}$

If $\displaystyle z$ is complex you have to substitute it in first before making this step.
Benit13 is offline  
September 3rd, 2014, 02:19 AM   #3
Newbie
 
Joined: Sep 2013

Posts: 3
Thanks: 0

Quote:
Originally Posted by Benit13 View Post
Taking the real part just means ignoring all terms with $\displaystyle i$ in them, so the real part of

$\displaystyle f(z) = \frac{z}{2}\sqrt{a^2-z^2} - \frac{1}{2}i(z^2)$

is

$\displaystyle Re\{f(z)\} = \frac{1}{2}z\sqrt{a^2-z^2}$

If $\displaystyle z$ is complex you have to substitute it in first before making this step.



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.
Bogdano is offline  
Reply

  My Math Forum > College Math Forum > Complex Analysis

Tags
complex, function, part, potentialflow, real



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Real part of complex? archer18 Complex Analysis 3 March 2nd, 2014 12:46 PM
Which potential function does this algorithm minimize ? ShNaYkHs Computer Science 0 November 26th, 2013 01:26 PM
Find the potential function OriaG Calculus 2 May 25th, 2013 02:59 PM
Complex numbers: Show that real part is -1 Punch Complex Analysis 4 April 1st, 2012 09:23 AM
Real part Mazaheri Complex Analysis 4 April 3rd, 2007 08:56 PM





Copyright © 2018 My Math Forum. All rights reserved.