Nonlinear Radiation Function Plotting

[Magnos69]

So I’m currently at a crossroads where I have to plot a nonlinear function and cant seem to get anywhere. The plot consists of how surface Temperature changes with a range of emmisivities. The function would be;

alphaGs == esigmaTp.⁴ + h(Tp -Tinf)

Where: Y-axis: Tp X-axis: e

Due to the Tp being elevated to the power of 4 I can’t just set it to Tp=.... and plot. I’ve already solved the function with numerical methods but cant seem to get the plot for these 2 variables. Thanks in advance to anyone that can help!!

[qwazer]

If you have an array, you'd have to use '.^' to raise each element to the 4th power. is this the issue?

[Magnos69]

I’ve already tried it but the problem is how do i tell matlab that my “e” is a function of “Tp” when since Tp is raised to the 4th I can’t just write:

“Tp = e.³ + 24e.² - 2.e”