Zgconf.uni-ruse.bg/bg/docs/cp15/1.2/1.2-52.pdf · 2016. 3. 19. · mjZ\g_gby fh]Zl ^Z bfZl fgh]h...

8
ɇȺɍɑɇɂɌɊɍȾɈȼȿɇȺɊɍɋȿɇɋɄɂəɍɇɂȼȿɊɋɂɌȿɌ-2015ɬɨɦ54ɫɟɪɢɹ1.2 -- ɆɚɬɟɦɚɬɢɱɟɧɦɨɞɟɥɡɚɢɡɫɥɟɞɜɚɧɟɨɛɟɦɧɢɹɄɉȾ ɧɚɬɪɢɪɨɬɨɪɧɚɡɴɛɧɚɩɨɦɩɚɫɞɜɭɫɬɪɚɧɧɨɰɟɜɧɨɡɚɰɟɩɜɚɧɟ ɂɜɚɣɥɨɇɢɤɨɥɚɟɜȽɟɧɱɨɉɨɩɨɜ ɄɪɚɫɢɦɢɪɌɭɠɚɪɨɜɍɢɫɚɦɆɯɚɧɚ Mathematical model for studying volumetric losses of a three-rotor hydraulic machine with bilateral lantern meshing: It has been selected a suitable mathematical model for studying of volumetric losses of a new type pump with bilateral lantern meshing that takes into account the influence of its main geometrical dimensions, operational parameters and properties of the fluid on the volumetric efficiency of the pump. For this purpose, the processes that occurring inside the pump have been examined, the quantities which in the fullest extent characterize the variation of the volumetric efficiency also have been defined and with the aid of the theory of similitude and dimensionalities analysis are derived their criteria of similitude. The geometric dimensions of the pump and especially their complexes impacting on the volumetric efficiency, are united in a common geometric factor valid for this class of pumps. Key words: gear pump, lantern meshing, mathematical model, volumetric efficiency, main indicators, theory of similitude, dimensionalities analysis. ȼɔȼȿȾȿɇɂȿ ɉɪɢ ɢɡɫɥɟɞɜɚɧɟɬɨ ɧɚ ɨɛɟɦɧɢ ɯɢɞɪɚɜɥɢɱɧɢ ɦɚɲɢɧɢ ɨɫɧɨɜɟɧ ɞɹɥ ɡɚɟɦɚ ɢɡɫɥɟɞɜɚɧɟɬɨɧɚɟɮɟɤɬɢɜɧɨɫɬɬɚɧɚɬɹɯɧɚɬɚɪɚɛɨɬɚɂɡɜɟɫɬɧɨɟ ɱɟɨɰɟɧɤɚɬɚɧɚɬɚɡɢ ɟɮɟɤɬɢɜɧɨɫɬɫɟɢɡɜɴɪɲɜɚɫɨɩɪɟɞɟɥɹɧɟɬɨɧɚɤɨɟɮɢɰɢɟɧɬɢɬɟɧɚɩɨɥɟɡɧɨɞɟɣɫɬɜɢɟ ɩɴɥɟɧɨɛɟɦɟɧɯɢɞɪɚɜɥɢɱɟɧɢɦɟɯɚɧɢɱɟɧ[3], [9]Ɂɚɫɴɡɞɚɜɚɧɟɧɚɦɚɲɢɧɢɧɚɜɢɫɨɤɨ ɬɟɯɧɢɱɟɫɤɨ ɧɢɜɨ ɟ ɧɟɨɛɯɨɞɢɦɨ ɨɳɟ ɧɚ ɫɬɚɞɢɹ ɩɪɨɟɤɬɢɪɚɧɟ ɞɚ ɫɟ ɪɚɡɩɨɥɚɝɚ ɫ ɦɚɬɟɦɚɬɢɱɟɫɤɢɦɨɞɟɥɢɞɨɫɬɚɬɴɱɧɨɬɨɱɧɨɨɩɢɫɜɚɳɢɬɟɯɧɢɬɟɯɚɪɚɤɬɟɪɢɫɬɢɤɢɐɟɥɬɚ ɧɚɧɚɫɬɨɹɳɚɬɚɪɚɛɨɬɚɟɞɚɫɟɫɴɡɞɚɞɟɩɨɞɯɨɞɹɳɦɚɬɟɦɚɬɢɱɟɧɦɨɞɟɥɡɚɢɡɫɥɟɞɜɚɧɟ ɧɚɨɛɟɦɧɢɹɤɨɟɮɢɰɢɟɧɬɧɚɩɨɥɟɡɧɨɞɟɣɫɬɜɢɟɤɩɞɧɚɧɨɜɜɢɞɩɨɦɩɚɫɞɜɭɫɬɪɚɧɧɨ ɰɟɜɧɨ ɡɚɰɟɩɜɚɧɟ [2], ɨɬɱɢɬɚɳ ɜɥɢɹɧɢɟɬɨ ɧɚ ɨɫɧɨɜɧɢɬɟ ɣ ɝɟɨɦɟɬɪɢɱɧɢ ɪɚɡɦɟɪɢ ɪɟɠɢɦɧɢɬɟ ɩɚɪɚɦɟɬɪɢ ɢ ɫɜɨɣɫɬɜɚɬɚ ɧɚ ɬɟɱɧɨɫɬɬɚ Ɂɚ ɰɟɥɬɚ ɟ ɧɟɨɛɯɨɞɢɦɨ ɞɚ ɫɟ ɪɚɡɝɥɟɞɚɬɩɪɨɰɟɫɢɬɟɤɨɢɬɨɜɥɢɹɹɬɜɴɪɯɭɧɟɝɨ ɂɁɅɈɀȿɇɂȿ ɉɪɢ ɪɨɬɨɪɧɢɬɟ ɨɛɟɦɧɢ ɦɚɲɢɧɢ ɤɨɢɬɨ ɫɚ ɫ ɛɟɡɤɥɚɩɚɧɧɨ ɪɚɡɩɪɟɞɟɥɟɧɢɟ ɧɚ ɬɟɱɧɨɫɬɬɚɤɚɤɜɚɬɨɟɢɢɡɫɥɟɞɜɚɧɚɬɚɩɨɦɩɚɫɤɨɪɨɫɬɢɬɟɧɚɞɜɢɠɟɧɢɟɧɚɬɟɱɧɨɫɬɬɚɜ ɩɨɞɜɟɠɞɚɳɢɬɟ ɢ ɨɬɜɟɠɞɚɳɢɬɟ ɤɚɧɚɥɢ ɫɚ ɫɪɚɜɧɢɬɟɥɧɨ ɧɢɫɤɢ ɢ ɤɚɬɨ ɫɥɟɞɫɬɜɢɟ ɯɢɞɪɚɜɥɢɱɧɢɬɟɡɚɝɭɛɢɜɬɹɯɫɚɩɪɟɧɟɛɪɟɠɢɦɨɦɚɥɤɢ>@Ɋɚɛɨɬɧɢɹɬɩɪɨɰɟɫɩɪɢɬɟɡɢ ɩɨɦɩɢ ɢ ɬɟɯɧɢɹɬ ɤɩɞ ɫɟ ɨɩɪɟɞɟɥɹ ɨɫɧɨɜɧɨ ɨɬ ɩɪɨɰɟɫɢɬɟ ɩɪɨɬɢɱɚɳɢ ɜ ɯɥɚɛɢɧɢɬɟ ɦɟɠɞɭɩɨɞɜɢɠɧɢɬɟɟɥɟɦɟɧɬɢɧɚɩɨɦɩɚɬɚ Ɍɪɭɞɧɨɫɬɢɬɟɫɜɴɪɡɚɧɢɫɬɨɱɧɨɬɨɮɨɪɦɭɥɢɪɚɧɟɢɪɟɲɟɧɢɟɧɚɯɢɞɪɨɞɢɧɚɦɢɱɧɚɬɚ ɡɚɞɚɱɚ ɨɬɧɨɫɧɨ ɞɜɢɠɟɧɢɟɬɨ ɧɚ ɬɟɱɧɨɫɬɬɚ ɜ ɯɥɚɛɢɧɢɬɟ ɧɚ ɩɨɦɩɚɬɚ ɧɚɥɚɝɚɬ ɧɟɨɛɯɨɞɢɦɨɫɬɬɚ ɩɪɢ ɢɡɫɥɟɞɜɚɧɟ ɧɚ ɨɛɟɦɧɢɬɟ ɡɚɝɭɛɢ ɞɚ ɫɟ ɢɡɩɨɥɡɜɚɬ ɩɪɢɛɥɢɠɟɧɢ ɦɨɞɟɥɢɫɴɫɬɚɜɟɧɢɫɩɨɦɨɳɬɚɧɚɚɧɚɥɢɡɚɧɚɪɚɡɦɟɪɧɨɫɬɢɬɟɢɬɟɨɪɢɹɬɚɧɚɩɨɞɨɛɢɟɢ ɦɨɞɟɥɢɪɚɧɟ ɈɛɨɛɳɟɧɚɤɪɢɬɟɪɢɚɥɧɚɡɚɜɢɫɢɦɨɫɬɡɚɢɡɫɥɟɞɜɚɧɟɧɚɨɛɟɦɧɢɹɄɉȾ Ɉɫɧɨɜɧɢɬɟ ɜɟɥɢɱɢɧɢ ɤɨɢɬɨ ɯɚɪɚɤɬɟɪɢɡɢɪɚɬ ɜ ɧɚɣ-ɝɨɥɹɦɚ ɫɬɟɩɟɧ ɢɡɦɟɧɟɧɢɟɬɨ ɧɚɨɛɟɦɧɢɹɤɩɞ o K ɩɪɢɢɡɫɥɟɞɜɚɧɚɬɚɩɨɦɩɚɫɚ ɚ). Ɋɟɠɢɦɧɢɩɚɪɚɦɟɬɪɢ - ɧɚɥɹɝɚɧɟɧɚɩɨɦɩɚɬɚ ɪ - ɱɟɫɬɨɬɚɧɚɜɴɪɬɟɧɟɧɚɜɚɥɚ – n. ɛ). ɋɜɨɣɫɬɜɚɧɚɬɟɱɧɨɫɬɬɚɫɤɨɹɬɨɪɚɛɨɬɢɩɨɦɩɚɬɚ - ɩɥɴɬɧɨɫɬ - U ;

Transcript of Zgconf.uni-ruse.bg/bg/docs/cp15/1.2/1.2-52.pdf · 2016. 3. 19. · mjZ\g_gby fh]Zl ^Z bfZl fgh]h...

Page 1: Zgconf.uni-ruse.bg/bg/docs/cp15/1.2/1.2-52.pdf · 2016. 3. 19. · mjZ\g_gby fh]Zl ^Z bfZl fgh]h j_r_gby g_h[oh^bfh _ dtf lyo ^Z k_ \dexqZl mkeh\bylZ gZ _^ghagZqghkl dhblh hljya\Zl

- 2015 54 1.2

- -

Mathematical model for studying volumetric losses of a three-rotor hydraulic machine with

bilateral lantern meshing: It has been selected a suitable mathematical model for studying of volumetric losses of a new type pump with bilateral lantern meshing that takes into account the influence of its main geometrical dimensions, operational parameters and properties of the fluid on the volumetric efficiency of the pump. For this purpose, the processes that occurring inside the pump have been examined, the quantities which in the fullest extent characterize the variation of the volumetric efficiency also have been defined and with the aid of the theory of similitude and dimensionalities analysis are derived their criteria of similitude. The geometric dimensions of the pump and especially their complexes impacting on the volumetric efficiency, are united in a common geometric factor valid for this class of pumps.

Key words: gear pump, lantern meshing, mathematical model, volumetric efficiency, main indicators, theory of similitude, dimensionalities analysis.

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Page 2: Zgconf.uni-ruse.bg/bg/docs/cp15/1.2/1.2-52.pdf · 2016. 3. 19. · mjZ\g_gby fh]Zl ^Z bfZl fgh]h j_r_gby g_h[oh^bfh _ dtf lyo ^Z k_ \dexqZl mkeh\bylZ gZ _^ghagZqghkl dhblh hljya\Zl

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2015 – –

[1].

86-92, ISSN 0861-9721 [2].

[3].

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[8]. -52, ISSN 1314-2550.

[9]. [10].

--73.

[11].

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-582, e-mail: [email protected]; -

-580, e-mail: gspopov@ uni-ruse.bg; -

- -mail: [email protected];

- -mail: [email protected];