1 Correction to: Experiments in Fluids (2020) 61:151 https://doi.org/10.1007/s00348-020-02975-x

  • There is a typographical error in Equation 13, which should instead read:

    $$\begin{aligned} \left\{ \begin{array}{l} \frac{1}{\rho c_p(T)}\frac{\partial \lambda }{\partial t} = - \nabla \left( k(T) \nabla \lambda \right) , \ \forall \ \mathbf {x} \in \Omega \\ \lambda (\mathbf{x} ,t)=0, \ \forall \ \mathbf {x} \in \Omega , \ t=t_f \\ k(T)\frac{\partial \lambda }{\partial n} = 2 \left( T - Y \right) , \ \forall \ \mathbf {x} \in S, 0<t<t_{f} \end{array} \right. \end{aligned}$$
  • The values in Table 4 should be updated to contain the values in the table below. The values in the published version of the table are incorrect, caused by a bug in the averaging procedure in the error processing software. This bug does not affect the results presented in Figure 6 nor does it affect the global error of 12% presented in the text of the document.

Error source

Variation \(\Delta \)

\(\Delta C_{H_{\%}}\)

IHCP solution

1.5%

Ambient temperature measurement \(T_{amb} \ \mathrm {[K]}\)

1.7%

1.5%

Infrared Calibration \(T_{IR} \ \mathrm {[K]}\)

\(\sigma = 0.1\) K

1.5%

Model initial temperature distribution \(T_{i} \ \mathrm {[K]}\)

2.7%

1.5%

Material emissivity \(\epsilon \)

8.0%

8.7%

Material thermal conductivity \(k \ \mathrm {[J/kg.K]}\)

6.0%

1.5%

Material specific heat capacity \(c_p \ \mathrm {[J/kg.K]} \)

2.0%

1.5%

Free-stream total temperature \(T_{0} \ \mathrm {[K]}\)

2.5%

6.9%

Free-stream total pressure \(P_0 \ \mathrm {[Pa]}\)

4.2%

4.2%