I getting an typeerror of 'unsupported operand type(s) for *: 'function' and 'function' '

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That is not a reproducible example, since, for instance, we don’t have access to the mesh. You could have easily used a builtin mesh. You must also include the imports in your code.

From what I gather, in

def mu(T):
    return 19302.7-0.23786*T-2.2448e-5*T**2

is unnecessary to use a python function. Simply define a Function (not TrialFunction) T, and use it in

mu = 19302.7-0.23786*T-2.2448e-5*T**2