How to solve an implicit equation involving another MATLAB function with symbolics?

So I have the following equation for a gas turbine application

syms T013 T02 fprOF etaOF
T013 = T02 * (1 + (fprOF^((heat_property(T013,'gamma')-1)/heat_property(T013,'gamma')) - 1)/etaOF)

where I need to solve for T013. I wrote another function, 'heat_property', which also needs T013 as its input and as you can see, this make the equation implicit. Is there a pre-defined way of solving this (way I would normally do this is for instance to write an iterative solver in C/C++ but trying to start off with symbolic MATLAB)?

Answer 1

[Torsten]

Use "fzero" to solve

f=@(T013) T013 - (T02 * (1 + (fprOF^((heat_property(T013,'gamma')-1)/heat_property(T013,'gamma')) - 1)/etaOF))

for T013.

Since "fzero" is a numerical solver, remove all "syms" commands associated with variables in the above equation.

Best wishes

Torsten.

[Tahsin Emir Ersoy]

That works just fine!