Research Article
Thermohydraulic Performance of a Series of In-Line Noncircular Ducts in a Parallel Plate Channel
Table 2
Comparison of normalized pressure drop and module average Nusselt number for all the geometric tube shapes.
| Module | Circular | Shape-1 | Shape-2 | Shape-3 | | Nu0 | | / | Nu | Nu+ | Nu* | | / | Nu | Nu+ | Nu* | | / | Nu | Nu+ | Nu* |
| Re = 25 | | | | | | | | | | | | | | | | | | 1 | 8.020 | 6.882 | 8.090 | 1.009 | 7.017 | 1.020 | 1.017 | 7.985 | 0.996 | 7.032 | 1.022 | 1.023 | 7.966 | 0.993 | 7.029 | 1.021 | 1.024 | 2 | 8.118 | 6.890 | 8.177 | 1.007 | 7.015 | 1.018 | 1.016 | 8.058 | 0.993 | 7.033 | 1.021 | 1.023 | 8.061 | 0.993 | 7.039 | 1.022 | 1.024 | 3 | 8.113 | 6.883 | 8.182 | 1.009 | 7.021 | 1.020 | 1.017 | 8.045 | 0.992 | 7.024 | 1.021 | 1.023 | 8.060 | 0.994 | 7.030 | 1.021 | 1.024 | 4 | 8.104 | 6.885 | 8.174 | 1.009 | 7.009 | 1.018 | 1.015 | 8.044 | 0.993 | 7.032 | 1.021 | 1.024 | 8.058 | 0.994 | 7.035 | 1.022 | 1.024 | 5 | 8.128 | 6.908 | 8.191 | 1.008 | 6.938 | 1.004 | 1.002 | 8.084 | 0.994 | 7.067 | 1.023 | 1.025 | 8.064 | 0.992 | 7.053 | 1.021 | 1.024 | Re = 50 | | | | | | | | | | | | | | | | | | 1 | 4.538 | 9.486 | 4.525 | 0.997 | 9.799 | 1.033 | 1.034 | 4.442 | 0.979 | 9.827 | 1.036 | 1.043 | 4.476 | 0.986 | 9.832 | 1.037 | 1.041 | 2 | 4.507 | 9.517 | 4.498 | 0.998 | 9.769 | 1.027 | 1.027 | 4.419 | 0.980 | 9.812 | 1.031 | 1.038 | 4.418 | 0.980 | 9.855 | 1.036 | 1.042 | 3 | 4.510 | 9.482 | 4.501 | 0.998 | 9.797 | 1.033 | 1.034 | 4.407 | 0.977 | 9.772 | 1.031 | 1.039 | 4.434 | 0.983 | 9.814 | 1.035 | 1.041 | 4 | 4.500 | 9.479 | 4.497 | 0.999 | 9.766 | 1.030 | 1.030 | 4.406 | 0.979 | 9.777 | 1.031 | 1.039 | 4.429 | 0.984 | 9.813 | 1.035 | 1.041 | 5 | 4.496 | 9.509 | 4.482 | 0.997 | 9.794 | 1.030 | 1.031 | 4.406 | 0.980 | 9.788 | 1.029 | 1.036 | 4.394 | 0.977 | 9.851 | 1.036 | 1.044 | Re = 100 | | | | | | | | | | | | | | | | | | 1 | 3.208 | 11.340 | 3.130 | 0.976 | 11.711 | 1.033 | 1.041 | 3.038 | 0.947 | 11.711 | 1.033 | 1.052 | 3.117 | 0.972 | 11.768 | 1.038 | 1.048 | 2 | 2.690 | 11.224 | 2.692 | 1.001 | 11.422 | 1.018 | 1.017 | 2.658 | 0.988 | 11.487 | 1.023 | 1.027 | 2.620 | 0.974 | 11.570 | 1.031 | 1.040 | 3 | 2.729 | 11.134 | 2.702 | 0.990 | 11.478 | 1.031 | 1.034 | 2.631 | 0.964 | 11.384 | 1.022 | 1.035 | 2.684 | 0.984 | 11.469 | 1.030 | 1.036 | 4 | 2.697 | 11.123 | 2.701 | 1.002 | 11.412 | 1.026 | 1.025 | 2.627 | 0.974 | 11.391 | 1.024 | 1.033 | 2.664 | 0.988 | 11.470 | 1.031 | 1.035 | 5 | 2.662 | 11.172 | 2.623 | 0.985 | 11.437 | 1.024 | 1.029 | 2.565 | 0.964 | 11.383 | 1.019 | 1.032 | 2.546 | 0.956 | 11.507 | 1.030 | 1.046 | Re = 150 | | | | | | | | | | | | | | | | | | 1 | 2.871 | 12.588 | 2.779 | 0.968 | 13.009 | 1.033 | 1.045 | 2.696 | 0.939 | 12.954 | 1.029 | 1.051 | 2.774 | 0.966 | 13.110 | 1.041 | 1.053 | 2 | 2.020 | 12.070 | 2.055 | 1.017 | 12.258 | 1.016 | 1.010 | 2.044 | 1.012 | 12.345 | 1.023 | 1.019 | 1.981 | 0.981 | 12.361 | 1.024 | 1.031 | 3 | 2.071 | 11.973 | 2.058 | 0.994 | 12.281 | 1.026 | 1.028 | 2.001 | 0.966 | 12.195 | 1.019 | 1.030 | 2.068 | 0.998 | 12.253 | 1.023 | 1.024 | 4 | 2.028 | 11.937 | 2.065 | 1.018 | 12.238 | 1.025 | 1.019 | 1.992 | 0.982 | 12.187 | 1.021 | 1.027 | 2.036 | 1.004 | 12.238 | 1.025 | 1.024 | 5 | 2.008 | 11.988 | 1.968 | 0.980 | 12.188 | 1.017 | 1.024 | 1.926 | 0.959 | 12.136 | 1.012 | 1.027 | 1.896 | 0.944 | 12.199 | 1.018 | 1.037 | Re = 200 | | | | | | | | | | | | | | | | | | 1 | 2.684 | 14.053 | 2.604 | 0.970 | 14.523 | 1.033 | 1.044 | 2.532 | 0.943 | 14.389 | 1.024 | 1.044 | 2.608 | 0.972 | 14.705 | 1.046 | 1.056 | 2 | 1.667 | 12.681 | 1.723 | 1.033 | 12.967 | 1.023 | 1.011 | 1.716 | 1.029 | 13.062 | 1.030 | 1.020 | 1.643 | 0.986 | 12.882 | 1.016 | 1.021 | 3 | 1.707 | 12.630 | 1.704 | 0.998 | 12.825 | 1.015 | 1.016 | 1.666 | 0.976 | 12.852 | 1.018 | 1.026 | 1.733 | 1.015 | 12.887 | 1.020 | 1.015 | 4 | 1.664 | 12.548 | 1.726 | 1.037 | 12.940 | 1.031 | 1.019 | 1.648 | 0.990 | 12.789 | 1.019 | 1.023 | 1.693 | 1.017 | 12.833 | 1.023 | 1.017 | 5 | 1.668 | 12.435 | 1.630 | 0.978 | 12.579 | 1.012 | 1.019 | 1.606 | 0.963 | 12.592 | 1.013 | 1.026 | 1.565 | 0.938 | 12.512 | 1.006 | 1.028 | Re = 250 | | | | | | | | | | | | | | | | | | 1 | 2.551 | 15.706 | 2.491 | 0.976 | 16.322 | 1.039 | 1.048 | 2.429 | 0.952 | 16.142 | 1.028 | 1.045 | 2.502 | 0.981 | 16.582 | 1.056 | 1.063 | 2 | 1.450 | 13.225 | 1.518 | 1.047 | 13.637 | 1.031 | 1.016 | 1.506 | 1.039 | 13.650 | 1.032 | 1.019 | 1.431 | 0.987 | 13.305 | 1.006 | 1.011 | 3 | 1.474 | 13.175 | 1.475 | 1.001 | 13.207 | 1.002 | 1.002 | 1.456 | 0.988 | 13.458 | 1.021 | 1.026 | 1.518 | 1.030 | 13.420 | 1.019 | 1.009 | 4 | 1.435 | 13.125 | 1.514 | 1.055 | 13.601 | 1.036 | 1.018 | 1.429 | 0.996 | 13.295 | 1.013 | 1.014 | 1.472 | 1.026 | 13.282 | 1.012 | 1.003 | 5 | 1.454 | 12.525 | 1.425 | 0.981 | 12.601 | 1.006 | 1.013 | 1.414 | 0.973 | 12.720 | 1.016 | 1.025 | 1.364 | 0.938 | 12.540 | 1.001 | 1.023 | Re = 300 | | | | | | | | | | | | | | | | | | 1 | 2.450 | 17.352 | 2.409 | 0.983 | 18.224 | 1.050 | 1.056 | 2.355 | 0.961 | 18.024 | 1.039 | 1.053 | 2.423 | 0.989 | 18.499 | 1.066 | 1.070 | 2 | 1.302 | 13.717 | 1.377 | 1.057 | 14.209 | 1.036 | 1.017 | 1.358 | 1.043 | 14.106 | 1.028 | 1.014 | 1.285 | 0.986 | 13.703 | 0.999 | 1.004 | 3 | 1.311 | 13.625 | 1.315 | 1.003 | 13.526 | 0.993 | 0.992 | 1.312 | 1.001 | 14.001 | 1.028 | 1.027 | 1.368 | 1.043 | 13.850 | 1.017 | 1.002 | 4 | 1.277 | 13.681 | 1.366 | 1.070 | 14.198 | 1.038 | 1.015 | 1.277 | 1.000 | 13.741 | 1.004 | 1.004 | 1.316 | 1.031 | 13.600 | 0.994 | 0.984 | 5 | 1.302 | 12.435 | 1.287 | 0.989 | 12.521 | 1.007 | 1.011 | 1.284 | 0.986 | 12.713 | 1.022 | 1.027 | 1.227 | 0.942 | 12.514 | 1.006 | 1.026 | Re = 350 | | | | | | | | | | | | | | | | | | 1 | 2.370 | 18.945 | 2.347 | 0.990 | 20.124 | 1.062 | 1.066 | 2.298 | 0.969 | 19.925 | 1.052 | 1.063 | 2.358 | 0.995 | 20.379 | 1.076 | 1.078 | 2 | 1.194 | 14.149 | 1.272 | 1.066 | 14.681 | 1.038 | 1.016 | 1.245 | 1.043 | 14.471 | 1.023 | 1.008 | 1.177 | 0.986 | 14.051 | 0.993 | 0.998 | 3 | 1.190 | 14.009 | 1.196 | 1.004 | 13.812 | 0.986 | 0.985 | 1.205 | 1.012 | 14.474 | 1.033 | 1.029 | 1.256 | 1.055 | 14.217 | 1.015 | 0.997 | 4 | 1.160 | 14.185 | 1.255 | 1.082 | 14.712 | 1.037 | 1.010 | 1.163 | 1.003 | 14.127 | 0.996 | 0.995 | 1.198 | 1.033 | 13.823 | 0.975 | 0.964 | 5 | 1.186 | 12.299 | 1.186 | 1.000 | 12.455 | 1.013 | 1.013 | 1.187 | 1.001 | 12.694 | 1.032 | 1.032 | 1.124 | 0.948 | 12.483 | 1.015 | 1.033 |
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