Solving a single non-linear equation

Hi all, relatively new to MATLAB and just had a quick question.

I am trying to solve a non-linear equation (the Navier-Stokes Model) and am getting confused with the solve command. I wish to plot the variable v (in the equation) vs. position x, which I have already defined.

The equation is as follows:

((1 - v) / (v - a_NS)^a_Ns) = (((1 - sqrt(a_NS)) / (sqrt(a_NS) - a_NS)^(a_NS)) * exp((9/2) .* sqrt(pi/30) .* (1 - a_NS) .* M .* x));

where a_Ns, M, and x are defined above as;

a_NS = (1/4) * (1 + (3 / M^2)); M = 1.5; x = -4:1:4;

Simply trying to solve v at each of these positions and plot it.

Any help is greatly appreciated!

[Karan Gill]

Can you show your code and result? Without that your question is hard to answer.

Answer 1

[Roger Stafford]

It is likely that ‘solve’ is unable to find v as a function of x, as is so often the case, so you would then need to use ‘fzero’ or ‘fsolve’ for specific values of x. If all you need is a plot, you can easily solve for x as a function of v and do the plot over some range of v.