INTERNATIONAL ISO STANDARD 7902-2

15
© ISO 2020 Hydrodynamic plain journal bearings under steady-state conditions — Circular cylindrical bearings — Part 2: Functions used in the calculation procedure Paliers lisses hydrodynamiques radiaux fonctionnant en régime stabilisé — Paliers circulaires cylindriques — Partie 2: Fonctions utilisées pour le calcul INTERNATIONAL STANDARD ISO 7902-2 Second edition 2020-06 Reference number ISO 7902-2:2020(E) iTeh STANDARD PREVIEW (standards.iteh.ai) ISO 7902-2:2020 https://standards.iteh.ai/catalog/standards/sist/e4b4ccab-3df0-4cc9-9b6e- fdeb83e492e7/iso-7902-2-2020

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© ISO 2020

Hydrodynamic plain journal bearings under steady-state conditions — Circular cylindrical bearings —Part 2: Functions used in the calculation procedurePaliers lisses hydrodynamiques radiaux fonctionnant en régime stabilisé — Paliers circulaires cylindriques —Partie 2: Fonctions utilisées pour le calcul

INTERNATIONAL STANDARD

ISO7902-2

Second edition2020-06

Reference numberISO 7902-2:2020(E)

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ISO 7902-2:2020(E)

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COPYRIGHT PROTECTED DOCUMENT

© ISO 2020All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address below or ISO’s member body in the country of the requester.

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Foreword ........................................................................................................................................................................................................................................iv1 Scope ................................................................................................................................................................................................................................. 12 Normative references ...................................................................................................................................................................................... 13 Termsanddefinitions ..................................................................................................................................................................................... 14 Tables of basic bearing characteristics ......................................................................................................................................... 15 Graphs of basic bearing characteristics ....................................................................................................................................116 Friction power loss ..........................................................................................................................................................................................617 Lubricantflowrateresultingfromfeedpressure...........................................................................................................61

7.1 General ........................................................................................................................................................................................................ 617.2 Lubrication hole located opposite to direction of load .....................................................................................627.3 Lubrication hole located at 90° to direction of load ............................................................................................627.4 Lubrication holes located at 90° to direction of load ..........................................................................................637.5 Circumferential groove (full groove) ................................................................................................................................ 637.6 Circumferential groove (partial groove) ........................................................................................................................ 647.7 Lubrication pocket, located opposite to direction of load ..............................................................................657.8 Lubrication pocket located at 90° to direction of application load ........................................................657.9 Two lubrication pockets at ±90° to direction of load .........................................................................................66

8 Effective dynamic viscosity, ηeff, of the lubricant as a function of effective bearing temperature, Teff ................................................................................................................................................................................................66

Bibliography .............................................................................................................................................................................................................................68

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Foreword

ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies (ISO member bodies). The work of preparing International Standards is normally carried out through ISO technical committees. Each member body interested in a subject for which a technical committee has been established has the right to be represented on that committee. International organizations, governmental and non-governmental, in liaison with ISO, also take part in the work. ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of electrotechnical standardization.

The procedures used to develop this document and those intended for its further maintenance are described in the ISO/IEC Directives, Part 1. In particular, the different approval criteria needed for the different types of ISO documents should be noted. This document was drafted in accordance with the editorial rules of the ISO/IEC Directives, Part 2 (see www .iso .org/ directives).

Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of any patent rights identified during the development of the document will be in the Introduction and/or on the ISO list of patent declarations received (see www .iso .org/ patents).

Any trade name used in this document is information given for the convenience of users and does not constitute an endorsement.

For an explanation of the voluntary nature of standards, the meaning of ISO specific terms and expressions related to conformity assessment, as well as information about ISO's adherence to the World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT), see www .iso .org/ iso/ foreword .html.

This document was prepared by Technical Committee ISO/TC 123, Plain bearings, Subcommittee SC 8, Calculation methods for plain bearings and their applications.

This second edition cancels and replaces the first edition (ISO 7902-2:1998), of which it constitutes a minor revision. The changes compared to the previous edition are as follows:

— adjustment to ISO/IEC Directives, Part 2:2018;

— correction of typographical errors.

A list of all parts in the ISO 7902 series can be found on the ISO website.

Any feedback or questions on this document should be directed to the user’s national standards body. A complete listing of these bodies can be found at www .iso .org/ members .html.

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Hydrodynamic plain journal bearings under steady-state conditions — Circular cylindrical bearings —

Part 2: Functions used in the calculation procedure

1 Scope

This document specifies the values of the basic functions used in the calculation procedure for oil-lubricated circular cylindrical hydrodynamic bearings under conditions of full lubrication.

The values are given for the assumptions and boundary conditions given in ISO 7902-1. The values necessary for the calculation can be determined from the tables of bearing characteristics, the graphs and from the formulae.

The descriptions of the symbols used and calculation examples are given in ISO 7902-1.

2 Normative references

The following documents are referred to in the text in such a way that some or all of their content constitutes requirements of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.

ISO 7902-1, Hydrodynamic plain journal bearings under steady-state conditions Circular cylindrical bearings — Part 1: Calculation procedure

3 Termsanddefinitions

No terms and definitions are listed in this document.

ISO and IEC maintain terminological databases for use in standardization at the following addresses:

— ISO Online browsing platform: available at https:// www .iso .org/ obp

— IEC Electropedia: available at http:// www .electropedia .org/

4 Tables of basic bearing characteristics

ISO 7902-1:2020, Table 1 shall be referenced to identify the meaning of the symbols used in this document.

Tables 1 to 30 give

— the attitude angle, β,

— the Sommerfeld number, So,

— the specific coefficient of friction, taking account of the unloaded area of lubricant film, f′/φ,

— the specific coefficient of friction in the loaded area of the lubricant film, f/φ, and

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— the coefficient of lubricant flow rate, parameter Q3* , due to generation of the internal pressure, as a

function of angular span, Ω, relative eccentricity ε and relative bearing width B/D for various values of ε, Ω and B/D.

Table 1 — Values of the basic characteristics for Ω = 360° and B/D = 1,5

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

72,523 662,658 851,969 238,160 1

27,96124,618 419,800 713,597 1

0,427 31,000 51,972 44,682 4

10,138 213,825 622,044

48,842 9

7,599 23,603 52,227 21,365 30,921 80,790 60,617 30,404

4,968 42,658 21,669 51,073 60,760 40,667 80,535 90,358 6

0,047 70,093 50,136 10,175 90,193 90,1980,201

0,203 6

Table 2 — Values of the basic characteristics for Ω = 360° and B/D = 1,25

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

73,342 762,653 351,390 137,247 427,270 123,958 619,304 513,315 4

0,3410,815 51,671 54,210 79,462 1

13,083 921,127 147,533 2

9,497 84,380 82,583 71,485 50,967 80,819 70,633 20,409 7

6,201 63,245 71,925 71,128 50,794 9

0,690,548 40,363 1

0,044 40,087 60,128 70,167 90,186

0,190 10,193 60,195 9

Table 3 — Values of the basic characteristics for Ω = 360° and B/D = 1

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

74,20862,574 450,454 536,027 826,368 523,072 618,639 212,938 8

0,249 20,611

1,318 23,595 58,520 3

12,034 219,799

45,572 1

12,9585,786 83,210 21,691 51,045 70,868 20,659 90,419 3

8,448 94,272 12,376 11,276 60,853 70,727 50,569 60,371

0,039 40,078 50,116 40,153 30,170 80,174 80,178 30,180 8

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Table 4 — Values of the basic characteristics for Ω = 360° and B/D = 0,75

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

75,02262,258 449,355 434,514 425,188 721,882 317,739 312,426 4

0,158 40,399 30,915 52,784 87,161 4

10,461 117,736 342,382 9

20,390 98,760 64,516 72,106 71,197 90,962 70,711 90,438 4

13,237 26,183

3,316 11,571 20,969 60,801

0,611 40,386 9

0,032 60,065

0,097 20,129 20,144 70,148 30,151 60,153

Table 5 — Values of the basic characteristics for Ω = 360° and B/D = 0,5

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

75,818 861,762 847,970 332,965 323,503 720,317 116,529 211,716 4

0,077 90,202 60,499 5

1,745,157 97,916 8

14,175 736,438

41,264 117,0878,083 73,226 71,576 81,205

0,844 90,487

26,832 212,010 15,856 12,369 81,260 40,992

0,719 80,415

0,023 30,046 80,070 30,093 80,105 40,108 20,110 70,112 8

Table 6 — Values of the basic characteristics for Ω = 360° and B/D = 0,25

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

75,852 261,484 347,407 631,289 621,531 518,530 615,078

10,779 2

0,020 90,0560,146

0,605 32,203 73,670 77,346 6

22,666 5

153,24561,556 727,106 58,857 73,435 62,399 41,493 10,714 9

99,557 141,887 918,705 86,396 12,697 21,942 41,254 60,563 2

0,012 30,024 60,036 80,049 20,055 30,056 80,058 20,059 5

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Table 7 — Values of the basic characteristics for Ω = 180° and B/D = 1,5

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

66,676 754,239 544,217 132,58224,256

21,517 718,655 712,665 2

0,378 10,871 11,752 84,353 19,698 7

13,445 120,525 947,276 1

8,571 84,097 22,449 61,418 20,916 10,784 60,642 30,405 9

4,556 52,442 41,680 31,139 10,796

0,678 20,549 50,370 1

0,038 50,062 80,075 50,075

0,067 50,063 20,058 90,050 1

Table 8 — Values of the basic characteristics for Ω = 180° and B/D = 1,25

ε Β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

67,708 555,202 744,364 232,449 124,033 721,24718,433

12,347 1

0,310 60,732 61,531 23,981 99,227 9

12,858 419,947 146,753 5

10,4154,843 12,774 41,529 60,964 30,810 60,654 90,406 6

5,514 62,866 61,893 11,224 80,822

0,707 50,558 90,370 6

0,036 90,061 50,074 80,074 70,068 20,064 20,060 10,050 7

Table 9 — Values of the basic characteristics for Ω = 180° and B/D = 1

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

69,018 256,409 344,589

32,368 123,770 120,898 118,135 111,901 7

0,232 80,560 11,244 83,451 48,403 7

11,940 518,577 545,771

13,868 36,286 13,365 21,731 21,039

0,857 40,691

0,409 4

7,306 83,687 32,279 71,379 90,906 10,744 60,589 40,375 4

0,033 80,057 50,072 90,073 50,067 90,064

0,060 10,051 3

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Table 10 — Values of the basic characteristics for Ω = 180° and B/D = 0,75

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

70,534 957,855 845,012 432,312 823,336 720,438 417,579 311,294 8

0,151 30,381

0,888 32,698 77,137 5

10,425 216,746 543,512 8

21,282 49,166 34,632 82,1541,188

0,954 60,746 90,420 4

11,151 35,320 73,107 81,705

1,032 20,827 80,639

0,380 1

0,028 90,051 30,066

0,069 80,064 90,061 70,058

0,051 3

Table 11 — Values of the basic characteristics for Ω = 180° and B/D = 0,5

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

72,293 958,192 845,697 131,575 622,246

19,751 416,593 510,769 1

0,074 70,200 2

0,491,722 25,167 67,843 613,85 238,05 5

43,011 717,289 78,228 43,249 81,566 61,210 40,862

0,460 1

22,402 89,961

5,451 82,550 21,335 21,039

0,741 90,412

0,021 30,039 40,052 20,057 30,054 70,053

0,050 80,045 1

Table 12 — Values of the basic characteristics for Ω = 180° and B/D = 0,25

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

73,936 459,674 345,563 130,521 421,448 219,517 514,938 59,461 7

0,0190,053 70,146 50,605 42,172 53,461 77,348 5

23,426 6

169,07764,035 427,014 58,852 23,482 12,543

1,491 60,683 7

87,621 536,513 516,989 16,047 22,703 62,011 91,260 30,566 8

0,0110,021 40,029 50,033 90,033 40,033 20,032 10,029 9

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Table 13 — Values of the basic characteristics for Ω = 150° and B/D = 1,5

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

61,770 347,933 739,850 830,215 223,445 920,43217,26212,396

0,305 80,738

1,554 74,061 69,207 3

13,050 820,569 946,556 5

10,574 24,793 32,718 11,490 50,961 80,794 90,630 10,408 3

4,767 82,489

1,659 91,108 20,771 20,655 10,5250,35

0,028 80,044 50,052 10,050 10,043 70,040 30,036 50,032 5

Table 14 — Values of the basic characteristics for Ω = 150° and B/D = 1,25

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

62,776 548,877 340,280 130,231 123,432 620,295 417,159 212,298 7

0,258 80,637 41,380 63,747 28,690 612,474 119,833 745,382 6

12,4785,528 23,038 31,598 71,008 30,823 20,647 40,415 4

5,6042,850 11,843 61,184 40,800 20,680 50,542 50,370 5

0,028 30,044 50,052 60,050 90,044 70,041 30,037 50,033 4

Table 15 — Values of the basic characteristics for Ω = 150° and B/D = 1

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

64,170 850,190 441,135 130,244 522,963 420,115

16,946 512,184 4

0,202 20,509 91,143 43,296 78,078 7

11,598 618,783 743,302 6

15,9456,875 93,631 81,789 71,067 70,871 90,674 10,429 4

7,122 83,51

2,175 71,318 90,886 20,748 80,563 60,376

0,026 80,043 40,052 60,051 10,045

0,041 90,038 30,033 9

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Table 16 — Values of the basic characteristics for Ω = 150° and B/D = 0,75

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

65,961 151,996 342,117 430,636 722,669 519,853 416,681 211,904 4

0,136 70,356 10,837 22,606 86,943 8

10,166 216,940 940,595 3

23,553 79,782 74,891 82,211

1,211 40,970 40,730 20,448 8

10,449 64,927 42,887 71,615 41,000 80,815 50,608

0,380 9

0,023 80,040,05

0,049 70,044 30,041 50,038 20,033 7

Table 17 — Values of the basic characteristics for Ω = 150° and B/D = 0,5

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

67,982 154,289 643,007 830,304 722,185 9

19,6616,378 111,467 3

0,070 60,189 90,477 51,692 75,033 57,583 4

13,255 234,970 3

45,488 218,209 78,429 13,295 11,601 81,246

0,894 60,501 2

20,028 99,021 14,915 22,378 51,2931,022

0,738 30,424 5

0,018 40,032 30,041 20,043 10,040 20,038 50,036 10,031 7

Table 18 — Values of the basic characteristics for Ω = 150° and B/D = 0,25

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

70,141 756,480 443,946 429,809 321,215 218,326 815,853 810,791 7

0,018 50,052 90,144 70,600 82,153 93,587 16,827 2

21,429 5

173,65765,001 8

27,3518,914 33,509

2,450 41,603 50,751

75,891 231,701 115,684 66,343 32,611 21,911 41,270 10,631 5

0,009 90,018 50,024 80,026 90,025 90,025 10,024 40,022 1

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Table 19 — Values of the basic characteristics for Ω = 120° and B/D = 1,5

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

56,676 342,036 234,566 227,097 321,230 119,173 216,245 912,526 3

0,219 60,553 61,267 23,610 88,726 1

12,258 219,760 542,612 1

14,682 26,325 83,269 21,632 30,988 90,826 40,642

0,437 5

5,394 32,743 31,713 31,085 80,768

0,667 30,514 80,353 7

0,019 50,028 40,033 50,030 80,025 40,023 50,020 90,018 1

Table 20 — Values of the basic characteristics for Ω = 120° and B/D = 1,25

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

58,210 342,953

35,068 927,206 721,216 319,068 116,196 212,497 1

0,184 80,486 91,144 93,366 58,307 8

11,786 919,095 241,177 5

17,438 27,176 73,602 31,738 21,030 40,852 60,659 40,448 8

6,371 73,091 11,873 21,151 40,798 40,691 10,530 50,375 1

0,019 10,028 70,033 80,031 30,026 30,024 30,022 30,018 9

Table 21 — Values of the basic characteristics for Ω = 120° and B/D = 1

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

59,398 744,128 535,883 7

27,3621,254 918,998 116,145 212,470 2

0,1530,407 50,977 93,009 47,658 1

11,022 218,053 639,792 4

21,0368,550 64,191 51,923 71,104 30,900 70,689 40,460 6

7,650 63,649 72,157 81,266 50,852 50,728 20,541 80,389 6

0,018 80,028 80,033 60,031 60,027

0,025 10,022 50,019 7

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Table 22 — Values of the basic characteristics for Ω = 120° and B/D = 0,75

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

61,304 545,817 937,124 927,997 821,183 618,901 515,968 812,355 1

0,110 20,301

0,747 12,440 16,656 19,760 2

16,405 737,152 8

29,196 211,530 25,437 22,333 61,245 40,996 90,744

0,484 9

10,540 94,858 32,756 51,518 50,956 10,766 50,590 50,401

0,017 50,027 70,032 80,031 80,027 30,025 50,022 90,020 2

Table 23 — Values of the basic characteristics for Ω = 120° and B/D = 0,5

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

63,707 248,359 739,012 5

27,96120,901 318,945 415,685 611,904 8

0,061 10,171 30,444 61,641 34,956 17,410 6

13,250 331,950 5

52,60220,1559,021 43,377 61,614 81,265 90,887 80,548 1

18,817 38,330 54,469 22,166 41,227 20,962 40,691 30,436 5

0,014 40,023 80,029 50,029 70,026 30,025

0,022 70,019 9

Table 24 — Values of the basic characteristics for Ω = 120° and B/D = 0,25

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

66,239 951,432

41,159 628,646 620,788 517,974 114,837 711,015 9

0,016 90,050 70,138 70,589 22,124 43,548 57,037 8

20,770 2

190,02367,705 128,511 79,077 73,552 32,472 81,551 20,773 9

67,326 827,357

13,726 95,683 12,517 71,878 21,195 10,609 1

0,008 20,014 80,019

0,019 90,018 50,017 60,016 50,015 3

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Page 14: INTERNATIONAL ISO STANDARD 7902-2

ISO 7902-2:2020(E)

Table 25 — Values of the basic characteristics for Ω = 90° and B/D = 1,5

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

53,340 237,166 528,916 723,203 718,831 517,184 514,926 511,529 4

0,117 60,330 10,864 22,881 77,636 6

11,026 118,268 340,891 4

27,35510,503 44,688 11,974 61,089

0,886 50,673 10,443 2

7,627 63,54

1,975 81,104 10,748 70,623 50,509 70,354 1

0,011 40,015 90,017 40,015 10,012 50,011 50,010 50,009 7

Table 26 — Values of the basic characteristics for Ω = 90° and B/D = 1,25

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

54,116 537,610 129,198 423,378 218,857

17,239 614,908

11,511 7

0,106 90,307 40,800 8

2,7197,317 6

10,598 217,588 539,939 2

30,061 711,266

5,052,084 41,130 40,917 20,694 20,451 3

8,360 53,786

2,114 51,160 50,775 20,645 10,519

0,360 1

0,011 50,016 10,017 80,015 80,013 10,012 10,011

0,009 9

Table 27 — Values of the basic characteristics for Ω = 90° and B/D = 1

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

55,814 538,693 229,800 623,653 619,043

17,202 114,919 611,480 1

0,089 30,266

0,710 52,477 46,803

10,011 516,815 838,478 5

35,979 213,010 35,67622,274

1,206 20,962 60,720 60,464 5

9,946 34,335

2,356 71,257 60,823 30,673 50,537 70,369 9

0,011 20,016 30,018 30,016 50,013 80,012 60,011 50,010 3

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Page 15: INTERNATIONAL ISO STANDARD 7902-2

ISO 7902-2:2020(E)

Table 28 — Values of the basic characteristics for Ω = 90° and B/D = 0,75

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

56,944 440,269 7

30,8724,152 318,953 417,165 114,823 7

11,44

0,072 40,209 40,574 62,093 36,057 69,020 4

15,375 736,078 4

44,358 316,497 36,988 62,664 91,336

1,053 10,775 90,488

12,206 85,433 22,863 81,456 80,906 40,737 30,578

0,387 8

0,010 90,016 30,018 50,017 10,014 30,013 20,011 70,010 3

Table 29 — Values of the basic characteristics for Ω = 90° and B/D = 0,5

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

59,75842,706 332,766

24,867 719,130 217,137 314,715 411,271 1

0,043 60,132

0,373 11,468 54,626 17,140 5

12,688 231,525 5

73,5626,098 710,6863,733 81,705 41,294 20,913 60,543 8

20,031 88,439 34,276 12,000 81,141 80,870 40,675 20,430 8

0,009 60,015 10,017 60,016 80,014 30,013 20,011 80,010 3

Table 30 — Values of the basic characteristics for Ω = 90° and B/D = 0,25

ε β So f′/φ f/φ Q3

*

0,20,40,60,80,9

0,9250,95

0,975

62,837 446,171 935,874 726,275 419,422 417,290 714,552 210,663

0,013 70,043 50,127 60,562 62,082 73,434

6,800 320,280 2

234,85979,019 730,956 5

9,4843,610 32,545 11,598 90,787 3

63,203 824,894 211,918 64,901 42,286

1,695 81,109 30,587 5

0,006 10,010 30,012 90,013

0,011 40,010 80,009 90,008 7

5 Graphs of basic bearing characteristics

Figures 1 to 50 graphically represent the functions β, So, f′/φ, f/φ and Q3* .

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