how do i use fsolve to solve a stream function ?

I have a stream function and am asked to solve it numerically to
calculate velocity at the x and y co-ordinates and then plot the pressure
co-efficient on a rankin oval. But am unsure of how to use the fsolve function to
solve the stream function .
the code i have so far:
syms U0 x y real
psi = U0*y + 4/2/pi * atan2(y, x+1) - 4/2/pi * atan2 (y, x-1);
v=-diff(psi, x)
u=diff(psi, y)
U0=1
x=-3:0.01:3;
y=-3:0.01:3;
u=eval(u)
v=eval(v)
any help is appreciated.

4 Kommentare

Ameer Hamza
Ameer Hamza am 29 Mär. 2020
Can you shows the mathematical form of the equation?
steven hong
steven hong am 29 Mär. 2020
Why you need to "solve" the stream function since it is already there? There's nothing to solve. Most likely what was meant was discretize/numeric calculate it, and your code seems fine so far.
steven hong
steven hong am 29 Mär. 2020
Ive added the full question to make it clear what im trying to achieve.
ive added the following to get the velocity magnitude after calculating u and v.
Z=sqrt(u.^2 + v.^2)
then after this i have to calculate pressure and the pressure co-efficient on the surface of the rankin oval using bernoullis equation.

Melden Sie sich an, um zu kommentieren.

Antworten (0)

Kategorien

Mehr zu Mathematics and Optimization finden Sie in Hilfe-Center und File Exchange

Gefragt:

am 29 Mär. 2020

Kommentiert:

am 29 Mär. 2020

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by