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Engineering LibreTexts

11.8: The Table for Fanno Flow

\(M\) 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 20.00 25.00 30.00 35.00 40.00 45.00 50.00 55.00 60.00 65.00 70.00
\(\dfrac{4\,f\,L}{D}\) 787.08 440.35 280.02 193.03 140.66 106.72 83.4961 66.9216 14.5333 8.4834 5.2993 3.4525 2.3085 1.5664 1.0691 0.72805 0.49082 0.32459 0.20814 0.12728 0.07229 0.03633 0.01451 0.00328 0.0 0.30500 0.52216 0.63306 0.69380 0.72988 0.75280 0.76819 0.77899 0.78683 0.81265 0.81582 0.81755 0.81860 0.81928 0.81975 0.82008 0.82033 0.82052 0.82066 0.82078
\(\dfrac{P}{P^{\star}}\) 36.5116 27.3817 21.9034 18.2508 15.6416 13.6843 12.1618 10.9435 5.4554 4.3546 3.6191 3.0922 2.6958 2.3865 2.1381 1.9341 1.7634 1.6183 1.4935 1.3848 1.2893 1.2047 1.1291 1.061 1.00000 0.40825 0.21822 0.13363 0.089443 0.063758 0.047619 0.036860 0.029348 0.023905 0.00609 0.00390 0.00271 0.00200 0.00153 0.00121 0.000979 0.000809 0.000680 0.000579 0.000500
\(\dfrac{P_0}
ParseError: EOF expected (click for details)
Callstack:
    at (Textbook_Maps/Map:_Fluid_Mechanics_(Bar-Meir)/11:_Compressible_Flow_One_Dimensional/11.8:_The_Table_for_Fanno_Flow), /content/body/table/tbody/tr[4]/td[1]/span, line 1, column 4
\)
19.3005 14.4815 11.5914 9.6659 8.2915 7.2616 6.4613 5.8218 2.9635 2.4027 2.0351 1.7780 1.5901 1.4487 1.3398 1.2549 1.1882 1.1356 1.0944 1.0624 1.0382 1.0207 1.0089 1.002 1.000 1.688 4.235 10.72 25.00 53.18 1.0E+2 1.9E+2 3.3E+2 5.4E+2 1.5E+4 4.6E+4 1.1E+5 2.5E+5 4.8E+5 8.6E+5 1.5E+6 2.3E+6 3.6E+6 5.4E+6 7.8E+6
\(\dfrac{\rho}
ParseError: invalid DekiScript (click for details)
Callstack:
    at (Textbook_Maps/Map:_Fluid_Mechanics_(Bar-Meir)/11:_Compressible_Flow_One_Dimensional/11.8:_The_Table_for_Fanno_Flow), /content/body/table/tbody/tr[5]/td[1]/span, line 1, column 1
\)
30.4318 22.8254 18.2620 15.2200 13.0474 11.4182 10.1512 9.1378 4.5826 3.6742 3.0702 2.6400 2.3184 2.0693 1.8708 1.7092 1.5753 1.4626 1.3665 1.2838 1.2119 1.1489 1.0934 1.044 1.000 0.61237 0.50918 0.46771 0.44721 0.43568 0.42857 0.42390 0.42066 0.41833 0.41079 0.40988 0.40938 0.40908 0.40889 0.40875 0.40866 0.40859 0.40853 0.40849 0.40846
\(\dfrac{U}
ParseError: EOF expected (click for details)
Callstack:
    at (Textbook_Maps/Map:_Fluid_Mechanics_(Bar-Meir)/11:_Compressible_Flow_One_Dimensional/11.8:_The_Table_for_Fanno_Flow), /content/body/table/tbody/tr[6]/td[1]/span, line 1, column 2
\)
0.03286 0.04381 0.05476 0.06570 0.07664 0.08758 0.09851 0.10944 0.21822 0.27217 0.32572 0.37879 0.43133 0.48326 0.53452 0.58506 0.63481 0.68374 0.73179 0.77894 0.82514 0.87037 0.91460 0.95781 1.00 1.633 1.964 2.138 2.236 2.295 2.333 2.359 2.377 2.390 2.434 2.440 2.443 2.445 2.446 2.446 2.447 2.447 2.448 2.448 2.448
\(\dfrac{T}
ParseError: EOF expected (click for details)
Callstack:
    at (Textbook_Maps/Map:_Fluid_Mechanics_(Bar-Meir)/11:_Compressible_Flow_One_Dimensional/11.8:_The_Table_for_Fanno_Flow), /content/body/table/tbody/tr[7]/td[1]/span, line 1, column 2
\)
1.1998 1.1996 1.1994 1.1991 1.1988 1.1985 1.1981 1.1976 1.1905 1.1852 1.1788 1.1713 1.1628 1.1533 1.1429 1.1315 1.1194 1.1065 1.0929 1.0787 1.0638 1.0485 1.0327 1.017 1.000 0.66667 0.42857 0.28571 0.20000 0.14634 0.11111 0.086957 0.069767 0.057143 0.014815 0.00952 0.00663 0.00488 0.00374 0.00296 0.00240 0.00198 0.00166 0.00142 0.00122

Contributors

  • Dr. Genick Bar-Meir. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or later or Potto license.