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The independent variable for both tables is [http://en.wikipedia.org/wiki/Advance_ratio Advance Ratio] (J). The dependent variable is the coefficient of thrust (Ct) for the C_THRUST and the coefficient of power (Cp) for C_POWER. | The independent variable for both tables is [http://en.wikipedia.org/wiki/Advance_ratio Advance Ratio] (J). The dependent variable is the coefficient of thrust (Ct) for the C_THRUST and the coefficient of power (Cp) for C_POWER. | ||
For variable pitch propellers, it is possible to give a two-dimensional table, showing Ct and Cp for different J and different pitch angles of the propeller. See example below. | |||
[http://www.mh-aerotools.de/airfoils/pylonprops_1.htm Propellors for F3D Models explains the theory] and has [http://www.mh-aerotools.de/airfoils/pylonprops_2.htm formulas] and [http://www.mh-aerotools.de/airfoils/pylonprops_3.htm many graphs] showing the relationship between J, Ct, and Cp. | [http://www.mh-aerotools.de/airfoils/pylonprops_1.htm Propellors for F3D Models explains the theory] and has [http://www.mh-aerotools.de/airfoils/pylonprops_2.htm formulas] and [http://www.mh-aerotools.de/airfoils/pylonprops_3.htm many graphs] showing the relationship between J, Ct, and Cp. | ||
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* T = thrust (N) | * T = thrust (N) | ||
For a typical propeller, both Cp and Ct are downward sloping curves that reach 0 | For a typical propeller, both Cp and Ct are downward sloping curves that reach 0 when J is somewhere in the range 0-4 (depending on blade angle and other factors). Typically Ct is slightly greater than than Cp for small J, crosses (is equal to) Cp at some point (typically, 60-80% of the way from J=0 to the point where Ct=0)), and then remains smaller than Cp for larger J. Cp and Ct can be negative; this indicates the drag induced by the prop when the airspeed is relatively fast compared with prop RPM. | ||
Ct/Cp gives the efficiency (eta), and propeller shape and general design give each propeller a distinctive [http://www.mh-aerotools.de/airfoils/pylonprops_3.htm efficiency curve]. For fixed-pitch propellers, the propeller is generally designed to reach peak efficiency either at climb velocity & RPM, cruise velocity and RPM, or some compromise between the two. [http://en.wikipedia.org/wiki/Controllable_pitch_propeller Variable pitch propellers] and [http://en.wikipedia.org/wiki/Constant_speed_propeller constant speed propellers] bring different factors into play. | Ct/Cp gives the efficiency (eta), and propeller shape and general design give each propeller a distinctive [http://www.mh-aerotools.de/airfoils/pylonprops_3.htm efficiency curve]. For fixed-pitch propellers, the propeller is generally designed to reach peak efficiency either at climb velocity & RPM, cruise velocity and RPM, or some compromise between the two. [http://en.wikipedia.org/wiki/Controllable_pitch_propeller Variable pitch propellers] and [http://en.wikipedia.org/wiki/Constant_speed_propeller constant speed propellers] bring different factors into play. | ||
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</table> | </table> | ||
</nowiki> | </nowiki> | ||
Example of table for variable pitch propeller ([http://www.mail-archive.com/flightgear-devel@lists.sourceforge.net/msg32187.html source]): | |||
<nowiki> | |||
<!-- thrust coefficient as a function of advance ratio and blade angle --> | |||
<table name="C_THRUST" type="internal"> | |||
<tableData> | |||
-10 0 15 25 35 45 55 65 90 | |||
-0.2 -0.0734 0.0413 0.1503 0.1842 0.2030 0.2142 0.1974 0.1691 0.0000 | |||
0.0 -0.1090 0.0000 0.1503 0.1842 0.2030 0.2162 0.2021 0.1691 0.0000 | |||
0.2 -0.1222 -0.0376 0.1297 0.1804 0.2001 0.2162 0.2021 0.1691 0.0000 | |||
0.4 -0.1222 -0.0873 0.0977 0.1786 0.1963 0.2142 0.2021 0.1691 0.0000 | |||
0.6 -0.1222 -0.1222 0.0517 0.1607 0.1879 0.2087 0.1992 0.1691 0.0000 | |||
0.8 -0.1222 -0.1222 0.0029 0.1203 0.1824 0.2012 0.1992 0.1691 0.0000 | |||
1.0 -0.1222 -0.1222 -0.0489 0.0734 0.1748 0.1908 0.1974 0.1691 0.0000 | |||
1.2 -0.1222 -0.1222 -0.1006 0.0226 0.1437 0.1842 0.1974 0.1691 0.0000 | |||
1.4 -0.1222 -0.1222 -0.1222 -0.0329 0.1034 0.1813 0.1936 0.1691 0.0000 | |||
1.6 -0.1222 -0.1222 -0.1222 -0.0836 0.0564 0.1748 0.1899 0.1691 0.0000 | |||
1.8 -0.1222 -0.1222 -0.1222 -0.1222 0.0095 0.1503 0.1842 0.1691 0.0000 | |||
2.0 -0.1222 -0.1222 -0.1222 -0.1222 -0.0376 0.1174 0.1834 0.1691 0.0000 | |||
2.2 -0.1222 -0.1222 -0.1222 -0.1222 -0.0846 0.0846 0.1804 0.1691 0.0000 | |||
2.4 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 0.0451 0.1473 0.1691 0.0000 | |||
2.6 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 0.0057 0.0932 0.1503 0.0000 | |||
2.8 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.0338 0.0610 0.1222 0.0000 | |||
3.0 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.0734 0.0320 0.0940 0.0000 | |||
3.2 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.1128 0.0029 0.0658 0.0000 | |||
3.4 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.0263 0.0376 0.0000 | |||
3.6 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.0555 0.0095 0.0000 | |||
3.8 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.0846 -0.0188 0.0000 | |||
4.0 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.1137 -0.0471 0.0000 | |||
6.0 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 -0.1222 0.0000 | |||
</tableData> | |||
</table> | |||
<!-- power coefficient as a function of advance ratio and blade angle --> | |||
<table name="C_POWER" type="internal"> | |||
<tableData> | |||
-10 0 15 25 35 45 55 65 90 | |||
-0.2 0.0108 0.0215 0.0753 0.1710 0.2949 0.4194 0.4839 0.5355 0.5355 | |||
0.0 0.0430 0.0108 0.0645 0.1594 0.2820 0.4194 0.4859 0.5355 0.5355 | |||
0.2 0.0613 0.0172 0.0624 0.1484 0.2697 0.4194 0.4859 0.5355 0.5355 | |||
0.4 0.0826 0.0376 0.0537 0.1368 0.2562 0.4194 0.4859 0.5355 0.5355 | |||
0.6 0.1013 0.0570 0.0355 0.1271 0.2400 0.4110 0.4839 0.5355 0.5355 | |||
0.8 0.1194 0.0763 0.0108 0.1078 0.2258 0.3923 0.4839 0.5355 0.5355 | |||
1.0 0.1374 0.0948 0.0108 0.0755 0.2129 0.3723 0.4820 0.5355 0.5355 | |||
1.2 0.1561 0.0758 -0.0355 0.0290 0.1884 0.3568 0.4788 0.5355 0.5355 | |||
1.4 0.1742 0.1310 -0.0536 -0.0215 0.1452 0.3516 0.4729 0.5355 0.5355 | |||
1.6 0.1923 0.1497 -0.0626 -0.0645 0.0916 0.3420 0.4626 0.5162 0.5355 | |||
1.8 0.2110 0.1678 -0.0645 -0.1078 0.0269 0.3033 0.4484 0.5052 0.5355 | |||
2.0 0.2291 0.1858 -0.0826 -0.1503 -0.0323 0.2581 0.4271 0.4949 0.5355 | |||
2.2 0.2471 0.2045 -0.1013 -0.1936 -0.0968 0.2097 0.4142 0.4729 0.5355 | |||
2.4 0.2658 0.2226 -0.1194 -0.2368 -0.1613 0.1497 0.4020 0.4626 0.5355 | |||
2.6 0.2839 0.2407 -0.1374 -0.2794 -0.2045 0.0626 0.3923 0.4465 0.5355 | |||
2.8 0.3020 0.2594 -0.1561 -0.3226 -0.2452 -0.0213 0.3839 0.4407 0.5355 | |||
3.0 0.3207 0.2774 -0.1742 -0.3658 -0.2903 -0.0968 0.3710 0.4407 0.5355 | |||
3.2 0.3387 0.2955 -0.1923 -0.4084 -0.3336 -0.1723 0.3471 0.4304 0.5355 | |||
3.4 0.3568 0.3142 -0.2110 -0.4517 -0.3762 -0.2471 0.2691 0.4194 0.5355 | |||
3.6 0.3755 0.3323 -0.2291 -0.4949 -0.4194 -0.3226 0.1890 0.4084 0.5355 | |||
3.8 0.3936 0.3504 -0.2471 -0.5355 -0.4626 -0.3981 0.1052 0.3955 0.5355 | |||
4.0 0.4117 0.3691 -0.2658 -0.5355 -0.5355 -0.4729 0.0213 0.3658 0.5355 | |||
6.0 0.5355 0.5355 -0.5355 -0.5355 -0.5355 -0.5355 -0.5355 -0.3226 0.5355 | |||
</tableData> | |||
</table> | |||
<!-- thrust effects of helical tip Mach --> | |||
<table name="CT_MACH" type="internal"> | |||
<tableData> | |||
0.85 1.0 | |||
1.05 0.8 | |||
</tableData> | |||
</table> | |||
</nowiki> | |||
=== CT_MACH and CP_MACH === | === CT_MACH and CP_MACH === |
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