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Table 2

Comparison of rheological models.

Nano (wt%) Salt (wt%) T (°C) Herschel-Bulkley-Papanastasiou
 Power law
 Herschel-Bulkley
τ o m k n R 2 k n R 2 τ o k n R 2
0 0 30 1.5701 0.544 2.982 0.37 1 3.712 0.358 0.9972 1.488 2.718 0.32 0.9992
0 0 50 2.2753 0.189 1.838 0.42 1 2.406 0.416 0.9945 0.9653 2.842 0.39 0.9954
0 0 70 2.9798 0.064 0.95 0.48 0.999 1.388 0.467 0.9886 1.589 1.264 0.38 0.9968
0 0 90 1.7224 0.011 0.072 0.81 1 0.132 0.746 0.9924 0.3349 0.603 0.65 0.995
0 0.5 30 1.6151 0.427 2.887 0.35 0.999 3.543 0.353 0.9972 1.289 2.909 0.36 0.9952
0 0.5 50 1.8817 0.144 2.021 0.38 0.999 2.408 0.394 0.9963 1.237 2.164 0.38 0.9928
0 0.5 70 3.1458 0.064 1.041 0.44 0.999 1.526 0.435 0.99 1.188 1.524 0.4 0.9882
0 0.5 90 6.6548 0.011 0.726 0.23 0.999 0.627 0.503 0.9936 0.4437 0.702 0.46 0.9719
0 1.5 30 1.3569 0.566 2.779 0.36 1 3.432 0.35 0.9977 0.9909 2.631 0.39 0.9913
0 1.5 50 1.966 0.187 1.869 0.39 1 2.392 0.39 0.9963 1.826 1.746 0.41 0.9931
0 1.5 70 2.1655 0.091 1.11 0.44 1 1.579 0.42 0.9946 1.8 1.088 0.45 0.9944
0 1.5 90 3.2987 0.018 0.712 0.39 0.998 0.857 0.454 0.9947 1.337 0.57 0.49 0.9718
0 3 30 1.3756 0.349 2.896 0.33 0.999 3.385 0.341 0.9978 1.2 2.453 0.37 0.9918
0 3 50 2.2764 0.134 1.896 0.36 1 2.349 0.377 0.9958 1.789 1.804 0.38 0.9876
0 3 70 2.3005 0.082 1.076 0.44 1 1.535 0.423 0.9941 1.278 1.311 0.42 0.9957
0 3 90 3.6433 0.017 0.784 0.34 0.998 0.885 0.432 0.9941 0.7114 0.858 0.41 0.9679
0.5 0 30 1.4659 1.472 6.147 0.26 1 7.054 0.267 0.9989 9.052 0.802 0.24 0.9981
0.5 0 50 1.2325 0.567 4.438 0.29 1 5.052 0.294 0.9991 2.142 2.331 0.29 0.9949
0.5 0 70 1.5695 0.299 3.095 0.34 1 3.616 0.343 0.9982 2.021 1.935 0.31 0.998
0.5 0 90 1.4029 0.033 0.38 0.61 1 0.56 0.569 0.9954 0.6961 1.008 0.52 0.9987
0.5 0.5 30 1.2011 1.078 5.685 0.25 1 6.359 0.262 0.9992 2.347 2.693 0.25 0.9928
0.5 0.5 50 1.1228 0.448 4.298 0.28 1 4.796 0.29 0.9993 1.935 2.749 0.25 0.997
0.5 0.5 70 1.155 0.32 3.136 0.33 0.999 3.526 0.338 0.9985 2.527 1.551 0.3 0.9977
0.5 0.5 90 1.4963 0.118 1.872 0.39 1 2.194 0.395 0.9982 1.228 2.334 0.33 0.9955
0.5 1.5 30 1.1481 1.901 5.447 0.26 1 6.22 0.262 0.9991 2.157 2.946 0.24 0.9985
0.5 1.5 50 1.1193 0.794 4.049 0.29 1 4.706 0.289 0.9991 1.907 2.47 0.28 0.9979
0.5 1.5 70 1.407 0.286 2.95 0.33 1 3.399 0.334 0.9982 2.426 1.519 0.3 0.9975
0.5 1.5 90 1.5046 0.124 2.444 0.35 1 2.801 0.351 0.9987 1.459 2.043 0.33 0.9958
0.5 3 30 0.97808 2.659 5.37 0.26 1 6.099 0.259 0.9994 2.114 2.864 0.25 0.9981
0.5 3 50 1.3764 0.89 3.845 0.29 0.999 4.694 0.284 0.9987 2.209 2.005 0.29 0.9907
0.5 3 70 1.3507 0.478 2.837 0.33 1 3.433 0.328 0.9981 1.288 2.619 0.32 0.994
0.5 3 90 1.7657 0.136 2.506 0.34 1 2.93 0.346 0.998 1.801 1.762 0.32 0.9948
0.75 0 30 1.4354 1.82 6.878 0.25 0.997 7.851 0.256 0.9985 3.029 2.665 0.23 0.9976
0.75 0 50 1.57 0.654 5.03 0.28 1 5.839 0.287 0.9989 2.121 2.8 0.27 0.9948
0.75 0 70 1.3512 0.317 3.689 0.32 1 4.263 0.324 0.9993 2.688 1.739 0.29 0.9983
0.75 0 90 1.0814 0.03 0.434 0.61 1 0.559 0.581 0.9967 0.7881 1.105 0.49 0.9904
0.75 0.5 30 1.6363 1.558 6.13 0.26 0.998 7.18 0.263 0.9984 2.761 2.771 0.22 0.9926
0.75 0.5 50 1.8962 0.452 4.572 0.27 0.999 5.352 0.29 0.9985 2.411 2.397 0.25 0.9918
0.75 0.5 70 1.6194 0.384 3.143 0.33 0.999 3.914 0.318 0.9987 1.691 2.565 0.28 0.9962
0.75 0.5 90 2.2943 0.13 1.853 0.39 0.999 2.372 0.391 0.9963 1.368 2.372 0.31 0.9927
0.75 1.5 30 1.2572 1.532 5.922 0.26 1 6.742 0.267 0.9991 2.567 2.783 0.23 0.9973
0.75 1.5 50 1.4979 0.658 4.184 0.29 0.999 4.954 0.291 0.9986 2.223 2.354 0.26 0.9967
0.75 1.5 70 1.4624 0.499 2.904 0.34 0.999 3.719 0.318 0.999 2.314 1.665 0.3 0.9982
0.75 1.5 90 1.6019 0.112 2.612 0.34 1 2.923 0.35 0.9984 1.535 1.995 0.33 0.9916
0.75 3 30 1.008 1.723 5.733 0.26 1 6.427 0.262 0.9994 2.185 3.011 0.24 0.9992
0.75 3 50 0.94664 0.677 4.43 0.28 0.999 4.929 0.283 0.999 1.801 2.845 0.26 0.9987
0.75 3 70 1.0928 0.286 3.258 0.31 1 3.688 0.317 0.9993 2.724 1.446 0.29 0.9987
0.75 3 90 1.9389 0.095 2.747 0.33 0.998 3.063 0.349 0.9981 1.647 2.427 0.28 0.9852

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