Table 4.
Name of model | Statistical parameters and model constants | Various temperature-thickness combinations | Master-curve | Optimal condition | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
55 °C | 65 °C | 75 °C | 55–75 °C | 70 °C | ||||||||
3 mm | 6 mm | 9 mm | 3 mm | 6 mm | 9 mm | 3 mm | 6 mm | 9 mm | 3–9 mm | 6 mm | ||
Newton | R 2 | 0.9902 | 0.9890 | 0.9932 | 0.9855 | 0.9891 | 0.9910 | 0.9850 | 0.9873 | 0.9925 | 0.9897 | 0.9927 |
χ 2 | 1.228E-03 | 1.407E-03 | 8.603E-04 | 1.753E-03 | 1.360E-03 | 1.153E-03 | 1.895E-03 | 1.521E-03 | 9.245E-04 | 1.205E-03 | 8.978E-04 | |
RMSE | 0.03366 | 0.03632 | 0.02851 | 0.03972 | 0.03543 | 0.03280 | 0.04104 | 0.03719 | 0.02921 | 0.03456 | 0.02869 | |
Page | R 2 | 0.9977 | 0.9988 | 0.9994 | 0.9978 | 0.9989 | 0.9993 | 0.9988 | 0.9993 | 0.9997 | 0.9988 | 0.9995 |
χ 2 | 3.095E-04 | 1.584E-04 | 7.789E-05 | 2.982E-04 | 1.497E-04 | 8.934E-05 | 1.767E-04 | 8.645E-05 | 3.618E-05 | 1.452E-04 | 6.237E-05 | |
RMSE | 0.01618 | 0.01177 | 0.00832 | 0.01545 | 0.01126 | 0.00880 | 0.01172 | 0.00841 | 0.00553 | 0.01195 | 0.00721 | |
Henderson and Pabis | R 2 | 0.9922 | 0.9921 | 0.9953 | 0.9887 | 0.9922 | 0.9938 | 0.9882 | 0.9914 | 0.9954 | 0.9925 | 0.9950 |
χ 2 | 1.065E-03 | 1.087E-03 | 6.290E-04 | 1.534E-03 | 1.052E-03 | 8.469E-04 | 1.698E-03 | 1.147E-03 | 6.242E-04 | 8.798E-04 | 6.771E-04 | |
RMSE | 0.03002 | 0.03084 | 0.02365 | 0.03503 | 0.02984 | 0.02709 | 0.03634 | 0.03064 | 0.02298 | 0.02941 | 0.02375 | |
Logrithmic | R 2 | 0.9961 | 0.9976 | 0.9988 | 0.9976 | 0.9979 | 0.9981 | 0.9980 | 0.9979 | 0.9984 | 0.9974 | 0.9982 |
χ 2 | 5.906E-04 | 3.568E-04 | 1.702E-04 | 3.778E-04 | 3.126E-04 | 2.821E-04 | 3.449E-04 | 3.066E-04 | 2.316E-04 | 3.062E-04 | 2.655E-04 | |
RMSE | 0.02131 | 0.01703 | 0.01191 | 0.01626 | 0.01551 | 0.01502 | 0.01516 | 0.01493 | 0.01335 | 0.01720 | 0.01411 | |
Two term | R 2 | 0.9922 | 0.9921 | 0.9953 | 0.9887 | 0.9922 | 0.9938 | 0.9882 | 0.9914 | 0.9954 | 0.9925 | 0.9950 |
χ 2 | 1.302E-03 | 1.268E-03 | 7.189E-04 | 2.045E-03 | 1.286E-03 | 1.001E-03 | 2.377E-03 | 1.475E-03 | 7.629E-04 | 8.953E-04 | 8.463E-04 | |
RMSE | 0.03002 | 0.03084 | 0.02365 | 0.03503 | 0.02984 | 0.02709 | 0.03634 | 0.03064 | 0.02298 | 0.02941 | 0.02375 | |
Midilli-Kucuka | R 2 | 0.9982 | 0.9994 | 0.9997 | 0.9989 | 0.9995 | 0.9996 | 0.9996 | 0.9998 | 0.9998 | 0.9991 | 0.9997 |
χ 2 | 3.048E-04 | 1.004E-04 | 4.090E-05 | 1.958E-04 | 9.103E-05 | 5.708E-05 | 9.054E-05 | 3.478E-05 | 2.726E-05 | 1.028E-04 | 4.844E-05 | |
RMSE | 0.01453 | 0.00868 | 0.00564 | 0.01084 | 0.00794 | 0.00647 | 0.00709 | 0.00470 | 0.00434 | 0.009964 | 0.00568 | |
k (min-1) | 2.592E-03 | 1.348E-03 | 1.579E-03 | 4.402E-03 | 2.493E-03 | 1.943E-03 | 5.779E-03 | 3.308E-03 | 3.206E-03 | 2.436E-03 | 3.861E-03 | |
n | 1.217 | 1.230 | 1.163 | 1.185 | 1.195 | 1.197 | 1.201 | 1.198 | 1.164 | 1.200 | 1.165 | |
a | 0.9821 | 0.9839 | 0.9899 | 0.9920 | 0.9911 | 0.9901 | 0.9952 | 0.9964 | 0.9987 | 0.9898 | 0.9949 | |
b (min-1) | −2.218E-05 | −2.660E-05 | −2.284E-05 | −1.853E-04 | −5.936E-05 | −2.735E-05 | −2.048E-04 | −9.348E-05 | −2.856E-05 | −4.144E-05 | −3.690E-05 |
abest fitted model