My method about how to retrieve the parameters of inlet and outlet of one junction

[Wang-Yihu]

You guys told me that SideAverageValue is not correct to retrieve the parameters of inlet and outlet of one junction. The ADFlowJunctionFlux1Phase is correct. However, it can only retrieve (rho*u*A)_in, (rho*u^2*A+p*A)_in, (m_dot*h0)_in (We can call them m_dot, n_dot, and q_dot). How can we retrieve rho, u, p, T, rho ?
We can conclude a system of four equations with four unknowns：

rho*u*A = m_dot
m_dot*u + p*A = n_dot
m_dot*cp*T + 0.5*m_dot*u^2 = q_dot
p/rho = R_u/M*T

And we can derive a quadratic equation in u

(0.5*m_dot - cp*M/R_u*m_dot) * u^2 + (cp*M/R_u*n_dot) * u - q_dot = 0

We can solve this equation to get u.
Evidently, p will be (-m_dot*u+n_dot)/A, rho will be m_dot/u/A, T will be p/rho*M/R_u.
Input file is in this example.
#31282 (reply in thread)
And the data processing is shown in this excel. We can see that my guess can be proven with the similarity between the data I calculate and retrieved from MOOSE ( I marked them with colored font)
分析真正的入口参数.xlsm