Graphing Matlab Heat Transfer | T_0 Variable

[Corey Williams]

I'm working with heat transfer and need to graph theoretical results. I've tried several things and it will either throw something along the lines of "no explicit solution found" or just hang forever. I'm not new to programming, but I am new to the Matlab library. The only variable is T(t). T_0 is the known initial value.

Alternatively you can use

% One of the things I tried. Seems to be a lot of methods, not sure which one to use.
syms T(t);
ode = (v^2) / r == (mass * specifSubstrate) * diff(T,t) + a * (convSubstrate + convFilm) * (T - tempAmbient) + stefBolt * a *(emOne + emTwo) * (4 * tempAmbient^3 * (T - tempAmbient));
cond = T(0) == tempAmbient;
TSol(t) = dsolve(ode,cond);

 

[Orodruin]

It seems that your problem is solving the differential equation, not (as your title suggests) the plotting part itself.

While Matlab is very useful for numerical computations, symbolic manipulations is not where it shines. I would suggest using Mathematica if you need an analytic solution. However, if your only worry is plotting the solution, you can (and should) use any of Matlab’s built-in numerical ODE solvers.

 

[kreil]

This topic shows how to solve and plot an ODE symbolically:
http://www.mathworks.com/help/symbolic/solve-a-system-of-differential-equations.html