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INPUTS Area Ah 15.70796 m2 Diameter D 5 m D OUTPUT Height ratio h* 0.7459 Height h 3.73 m h

CIRCULAR GEOMENTRY HORIZONTAL CYLINDRICAL VESSELS

V H

INPUTS INPUTS

Diameter D 1.35 m

Height h 8 m Length t-t L 4.64 m

Diameter D 8 m Volume V 5

Dished end type HEMIELLIPSOIDAL

OUTPUT Depth of dished end 'b' 0.5 m

Area ratio A* 1.0000 OUTPUT

Area 50.27 Height H 0.84 m SPHERICAL VESSEL V H INPUTS Diameter D 5.3 m Volume V 550 OUTPUT Height H 5.30 m Legend: h A - Ah Ah h Ah m3 Ah m2 m3

1. h or H denotes partial height occupied by the fluid inside the vessel 2. Ah denotes partial area occupied by the fluid inside the vessel 3. V denotes volume of liquid inside the vessel

4. A* denotes partial area over total area of the vessel

5. h* denotes partial height of liquid over actual diameter of the vessel 6. b denotes depth of dished end applicable only for Hemiellipsoidal head

CALCULATE

CALCULATE

CALCULATE

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PARTIAL VOLUMES FOR DIFFERENT VESSEL GEOMENTRY

D WITH CIRCULAR CROSS SECTION

DIAMETER M 3.8 0.95 4 h LENGTH M 1.89 K1 K2 0.01 0.1329 156.03 0.038 0.036 0.041 0.045 0.009 0.040 0.02 0.1874 77.493 0.076 0.102 0.119 0.136 0.034 0.116 0.03 0.2288 51.313 0.114 0.187 0.225 0.263 0.076 0.219 0.04 0.2634 38.223 0.152 0.288 0.355 0.422 0.134 0.343 0.05 0.2936 30.369 0.19 0.401 0.505 0.609 0.208 0.486 0.06 0.3206 25.133 0.228 0.525 0.674 0.823 0.298 0.647 0.07 0.3452 21.393 0.266 0.659 0.861 1.062 0.403 0.825 0.08 0.3679 18.588 0.304 0.803 1.064 1.325 0.522 1.018 0.09 0.389 16.406 0.342 0.955 1.284 1.612 0.656 1.225 0.1 0.4088 14.661 0.38 1.116 1.518 1.920 0.804 1.446 0.11 0.4273 14.28 0.418 1.283 1.804 2.326 1.043 1.711 0.12 0.4447 13.09 0.456 1.456 2.077 2.698 1.241 1.966 0.13 0.4615 12.083 0.494 1.637 2.366 3.094 1.457 2.235 0.14 0.4774 11.22 0.532 1.824 2.669 3.513 1.689 2.518 0.15 0.4925 9.4248 0.57 2.016 2.889 3.762 1.745 2.733 0.16 0.507 8.7703 0.608 2.214 3.199 4.185 1.971 3.023 0.17 0.5208 8.1928 0.646 2.416 3.521 4.625 2.209 3.323 0.18 0.5341 7.6794 0.684 2.624 3.853 5.081 2.458 3.633 0.19 0.5468 7.2015 0.722 2.835 4.191 5.546 2.710 3.948 0.2 0.5591 6.8068 0.76 3.052 4.546 6.040 2.988 4.279 0.21 0.5709 6.4328 0.798 3.272 4.906 6.541 3.269 4.614 0.22 0.5823 6.0928 0.836 3.496 5.276 7.056 3.560 4.958 0.23 0.5933 5.7824 0.874 3.724 5.654 7.585 3.860 5.309 0.24 0.6039 5.4978 0.912 3.956 6.041 8.126 4.170 5.668 0.25 0.6142 5.236 0.95 4.191 6.435 8.680 4.489 6.034 0.26 0.6241 4.4943 0.988 4.428 6.596 8.763 4.334 6.208 0.27 0.6337 4.7706 1.026 4.670 7.246 9.822 5.152 6.785 0.28 0.6429 4.5628 1.064 4.913 7.661 10.409 5.496 7.170 0.29 0.6519 4.3693 1.102 5.160 8.083 11.007 5.847 7.561 0.3 0.6606 4.1888 1.14 5.409 8.512 11.615 6.206 7.957 0.31 0.669 4.0199 1.178 5.660 8.946 12.231 6.571 8.358 0.32 0.6771 3.8615 1.216 5.913 9.385 12.856 6.943 8.764 0.33 0.685 3.7128 1.254 6.169 9.830 13.491 7.321 9.176 0.34 0.6926 3.5728 1.292 6.427 10.279 14.132 7.705 9.591 0.35 0.6999 3.4408 1.33 6.685 10.733 14.780 8.095 10.009 0.36 0.7071 3.3161 1.368 6.947 11.192 15.437 8.490 10.433 0.37 0.714 3.1982 1.406 7.210 11.654 16.099 8.889 10.860 0.38 0.7207 3.0865 1.444 7.474 12.121 16.767 9.293 11.290 0.39 0.7272 2.9805 1.482 7.740 12.591 17.442 9.701 11.724 0.4 0.7334 2.8798 1.52 8.006 13.063 18.120 10.113 12.159 0.41 0.7395 2.784 1.558 8.275 13.539 18.803 10.529 12.598 0.42 0.7453 2.6928 1.596 8.543 14.017 19.490 10.947 13.038 0.43 0.751 2.6058 1.634 8.813 14.497 20.182 11.368 13.481 0.44 0.7565 2.5228 1.672 9.084 14.980 20.876 11.792 13.926 0.45 0.7617 2.4435 1.71 9.355 15.464 21.573 12.218 14.372 0.46 0.7668 2.3676 1.748 9.627 15.949 22.272 12.645 14.819 0.47 0.7717 2.2949 1.786 9.899 16.436 22.973 13.074 15.267 0.48 0.7765 2.2253 1.824 10.172 16.924 23.676 13.504 15.717 HEAD DEPTH 'b' M PHI (h/D) PARTIALLY FILLED HEIGHT(h) M

PARTIAL VOLUME OF VESSELS IN M3

Horizontal cylinder. vessel with flat ends Horizontal cylinder vessel with Hemiellipsoidal ends Horizontal cylinder vessel with hemispherical ends Spherical Vessel Horizontal cylinder with Torispherical ends

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K1 K2 PHI (h/D) PARTIALLY FILLED HEIGHT(h) M

PARTIAL VOLUME OF VESSELS IN M3

Horizontal cylinder. vessel with flat ends Horizontal cylinder vessel with Hemiellipsoidal ends Horizontal cylinder vessel with hemispherical ends Spherical Vessel Horizontal cylinder with Torispherical ends 0.49 0.781 2.1585 1.862 10.444 17.411 24.379 13.934 16.166 0.5 0.7854 2.0944 1.9 10.717 17.900 25.083 14.365 16.616 0.51 0.7896 2.0328 1.938 10.990 18.388 25.787 14.796 17.066 0.52 0.7936 1.9736 1.976 11.262 18.876 26.490 15.227 17.515 0.53 0.7975 1.9166 2.014 11.535 19.364 27.193 15.657 17.965 0.54 0.8012 1.8617 2.052 11.808 19.851 27.893 16.086 18.413 0.55 0.8048 1.8088 2.09 12.080 20.337 28.593 16.513 18.861 0.56 0.8081 1.7578 2.128 12.350 20.820 29.289 16.939 19.306 0.57 0.8119 1.7086 2.166 12.630 21.311 29.993 17.363 19.760 0.58 0.8144 1.6611 2.204 12.891 21.783 30.675 17.784 20.194 0.59 0.8173 1.6152 2.242 13.160 22.261 31.363 18.203 20.635 0.6 0.82 1.5708 2.28 13.427 22.736 32.045 18.618 21.072 0.61 0.8226 1.5279 2.318 13.695 23.209 32.724 19.030 21.509 0.62 0.8251 1.4863 2.356 13.961 23.680 33.398 19.437 21.943 0.63 0.8273 1.4461 2.394 14.224 24.145 34.066 19.841 22.372 0.64 0.8294 1.4072 2.432 14.487 24.608 34.728 20.242 22.799 0.65 0.8341 1.3694 2.47 14.797 25.114 35.432 20.636 23.270 0.66 0.8333 1.3328 2.508 15.010 25.523 36.035 21.026 23.643 0.67 0.8349 1.2973 2.546 15.266 25.971 36.676 21.410 24.058 0.68 0.8364 1.2628 2.584 15.522 26.416 37.310 21.788 24.469 0.69 0.8377 1.2293 2.622 15.775 26.855 37.934 22.159 24.874 0.7 0.8389 1.1968 2.66 16.026 27.289 38.552 22.525 25.276 0.71 0.8399 1.1652 2.698 16.275 27.717 39.158 22.884 25.671 0.72 0.8408 1.1345 2.736 16.522 28.139 39.757 23.236 26.063 0.73 0.8415 1.1046 2.774 16.765 28.555 40.344 23.579 26.447 0.74 0.8421 1.0755 2.812 17.007 28.964 40.921 23.914 26.827 0.75 0.8425 1.0472 2.85 17.245 29.366 41.487 24.242 27.199 0.76 0.8427 1.0196 2.888 17.479 29.759 42.039 24.560 27.564 0.77 0.8428 0.9928 2.926 17.711 30.146 42.582 24.871 27.924 0.78 0.8429 0.9666 2.964 17.943 30.528 43.113 25.170 28.279 0.79 0.8424 0.9412 3.002 18.162 30.894 43.626 25.463 28.618 0.8 0.842 0.9163 3.04 18.384 31.255 44.127 25.743 28.954 0.81 0.8414 0.892 3.078 18.600 31.606 44.612 26.012 29.281 0.82 0.8406 0.8684 3.116 18.812 31.948 45.085 26.273 29.600 0.83 0.8396 0.8453 3.154 19.019 32.279 45.540 26.521 29.909 0.84 0.8384 0.8228 3.192 19.220 32.600 45.980 26.760 30.209 0.85 0.8371 0.8008 3.23 19.419 32.912 46.405 26.986 30.500 0.86 0.8355 0.7793 3.268 19.610 33.209 46.809 27.199 30.778 0.87 0.8338 0.7583 3.306 19.797 33.497 47.197 27.400 31.049 0.88 0.8318 0.7378 3.344 19.977 33.772 47.566 27.589 31.306 0.89 0.8296 0.7177 3.382 20.151 34.032 47.913 27.763 31.551 0.9 0.8272 0.6981 3.42 20.318 34.281 48.243 27.925 31.785 0.91 0.8246 0.679 3.458 20.479 34.518 48.556 28.077 32.008 0.92 0.8217 0.6602 3.496 20.631 34.736 48.841 28.209 32.215 0.93 0.8185 0.6418 3.534 20.775 34.938 49.101 28.327 32.406 0.94 0.8151 0.6239 3.572 20.911 35.128 49.345 28.435 32.587 0.95 0.8113 0.6063 3.61 21.035 35.297 49.559 28.524 32.747 0.96 0.8071 0.589 3.648 21.146 35.443 49.740 28.594 32.888 0.97 0.8026 0.5722 3.686 21.247 35.575 49.903 28.656 33.014 0.98 0.7976 0.5556 3.724 21.332 35.679 50.026 28.694 33.115 0.99 0.792 0.5395 3.762 21.399 35.761 50.123 28.724 33.194 1 0.7854 0.5236 3.8 21.435 35.800 50.166 28.731 33.233

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PARTIAL VOLUMES FOR DIFFERENT VESSEL GEOMENTRY

D WITH CIRCULAR CROSS SECTION

DIAMETER M 3.8 0.95 4 h LENGTH M 1.89 K1 K2 HEAD DEPTH 'b' M PHI (h/D) PARTIALLY FILLED HEIGHT(h) M

PARTIAL VOLUME OF VESSELS IN M3

Horizontal cylinder. vessel with flat ends Horizontal cylinder vessel with Hemiellipsoidal ends Horizontal cylinder vessel with hemispherical ends Spherical Vessel Horizontal cylinder with Torispherical ends

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