Puru Univrity Puru -Pub Intrntionl Compror Enginring Confrn Sool of Mnil Enginring 004 T Stuy of Crtriti wit Smllr Ovrturning Momnt for Sroll Compror Co Li Lnzou Univrity of Tnology Zn Qun Liu Lnzou Univrity of Tnology Yu Hng Tin Lnzou Univrity of Tnology Zi Png Yng Lnzou Univrity of Tnology ollow ti n itionl work t: ttp://o.lib.puru.u/i Li, Co; Liu, Zn Qun; Tin, Yu Hng; n Yng, Zi Png, "T Stuy of Crtriti wit Smllr Ovrturning Momnt for Sroll Compror" (004). Intrntionl Compror Enginring Confrn. Ppr 167. ttp://o.lib.puru.u/i/167 Ti oumnt bn m vilbl troug Puru -Pub, rvi of t Puru Univrity Librri. Pl ontt pub@puru.u for itionl informtion. Complt proing my b quir in print n on CD-ROM irtly from t Ry W. Hrrik Lbortori t ttp://nginring.puru.u/ Hrrik/Evnt/orrlit.tml
THE STUDY O CHARACTERISTICS WITH SMALLER OERTURNING MOMENT OR SCROLL COMPRESSOR Li Co 1, Liu Znqun, Tin Yung, Yng Zipng 4. 1,,4 Sool of Ptromil Enginring, Lnzou Univrity of Tnology. No.85 Lngongping, Lnzou, Gnu, P.R.Cin. Tl: 86-91-75795, x: 86-91-757564, E-mil: Lio@lut.n 1 Poto: 70050, Autor for Corrponn Sool of Ptromil Enginring, Lnzou Univrity of Tnology. No.85 Lngongping, Lnzou, Gnu, P.R.Cin. Tl: 86-91-75795 x: 86-91-757564 E-mil: Liuzq@lut.n ABSTRACT C04, Pg 1 Aoring to t trutur ftur tt t roll wrp i ut n t r witout roll wrp i inr in t ntrl portion of orbiting n fix roll for lrgr iplmnt volum n lowr prur rtio roll ompror, t riving bring n b now fix into t roll wrp. A rult of our omprniv nly to inrti for n inrti momnt ting on t rnkft wll iffrnt kin of for ting on t orbiting roll, it i onlu tt t ovrturning momnt ting on t riving bring, wi rult from itr g for or inrti for of orbiting roll, i ru, n t working tbility of t roll ompror i inr. Ti ppr put forwr t of formul, wi r riv b on om gomtri prmtr of lrgr iplmnt volum n lowr prur rtio roll ompror. T formul n b u to trmin t ution volum, irg volum, buil-in volum rtio, roll wrp trting ngl, ution ommn ngl n irging ommn ngl. 1. INTRODUCTION Wit t vlopmnt of morn mnuftur tniqu n omputr tnology, t pplition fil of roll flui min v bn win grully. Sin t roll ompror i u for ir onitionr in 80, now t pplition of roll ompror b xtn to mor nginring fil, u ir roll ompror, roll xpnion min roll vuum pump, roll liqui pump, n roll ngin wll. [1][][][4] By urvying lrg quntity of publi ppr w foun tt tr r only fw of ppr onrning lrgr iplmnt volum n lowr prur rtio roll ompror. In ti ppr, om gomtri prmtr of orbiting n fix roll r nlyz, n t lultion formul of gomtri prmtr r givn for lrgr iplmnt volum n lowr prur rtio roll ompror. In virtu of t riving bring i t into t roll wrp, t mllr ovrturning momnt ting on orbiting roll i rliz. T for ting on orbiting roll n t inrti for ting on t rnkft r nlyz.. GEOMETRIC THEORY It i nry tt t roll wrp of orbiting n fix roll in ntrl r b ut for lrgr iplmnt volum n lowr prur rtio roll ompror, own in figur 1. By mn of t two pil prmtr, wi r t finl ngl,, n t trting ngl,, for milin of roll wrp tikn, w n implify lult t ution volum n t irg volum ftr t ntrl portion of roll wrp i ut. T r of involut of irl n b lult by, [5] 1 (1) 0 Intrntionl Compror Enginring Confrn t Puru, July 1-15, 004
C04, Pg Intrntionl Compror Enginring Confrn t Puru, July 1-15, 004 So t ution volum,, i obtin by, ( ) t P P () Wr, P i roll wrp pit, i roll wrp igt, t i roll wrp tikn, i t finl ngl for milin of roll wrp tikn. T irg volum,, i givn by, ( ) t P P () Wr, i t trting ngl for milin of roll wrp tikn. Trfor, t buil-in volum rtio, v, n b xpr by, v (4) T trting ngl,, for milin of roll wrp tikn i givn by, ε 1 m (5) Wr, ε i prur rtio, m i polytropi xponnt. () roll wrp trting ngl (b) ution ommn ngl () irging ommn ngl igur 1: trting ngl, ution ommn ngl n irging ommn ngl
C04, Pg T ution ommn ngl,, i xpr by, { 1 [ n int( n) ]} (6) * T irging ommn ngl,, n b lult by, 7 (7) * * ( ) ( ) Wn t rotor of roll ompror prform t rotry motion, t ntri m woul rult in ntrifugl for. T ntrifugl for prou by orbiting roll t on t ntr of m itlf, n inrti for p of rnk pin t on t mipoint of rnk pin lngt (tt i witin riving pln of orbiting roll). T inrti for of t min n vi bln iron t rptivly on t poition btwn orbiting roll n min bring wll on t trp wl, own in figur. rom for n t momnt bln for t min bring A-A pln, t qution (9) i obtin. p b b 1 (9) p p b1 b1.inertia ORCE AND INERTIA MOMENT b b Owing to riving bring i t into t orbiting roll, w n ovrlp t riving pln n t ntroi pln of orbiting roll. T itn from t pln of ntr of m of orbiting roll to min bring pln i r. It i known from qution (9) tt t momnt ting on min bring A-A pln, wi i gnrt by ntrifugl for of t orbiting igur : inrti for n inrti momnt roll, i ru, mnwil t wigt of t min n vi bln iron i lo ru. A rult, t wigt of rotor n b r. urtrmor, t momnt wi t on t riving pln of orbiting roll by inrti for of orbiting roll i qul to zro, wi t working itution of riving bring i improv, n t uing lifpn of riving bring i prolong, n moot oprtion n lowr fritionl work onumption for roll ompror r rliz. 4. ORCES ON THE ORBITING SCROLL T for ting on t orbiting roll inlu: g for, inrti for, n fritionl for n o on. T for r givn in figur. Wn riving bring i mb into roll wrp, t itn from riving pln to t pln of t ril for r n t tngntil for t on t orbiting roll i ru. Conquntly, t ovrturning momnt tt t on orbiting roll i ln, wi i gnrt by t ril for r n t tngntil for t. 5.CONCLUSION (1) T riving bring of orbiting roll i mb into orbiting roll wrp, n t ovrturning momnt, wi t on orbiting roll rt by t ril for r n t tngntil for t, i ln. Bi, it i qul to zro tt t ovrturning momnt t on t orbiting roll by ntrifugl for of orbiting roll, n t (8) Intrntionl Compror Enginring Confrn t Puru, July 1-15, 004
C04, Pg 4 working tbility of t roll ompror i nn. () T pln of Inrti for funtion for orbiting roll ovrlp wit t riving pln of orbiting roll, wi t momnt tt t on min bring by t inrti for of orbiting roll i ru, n t working itution of rnkft n min bring i improv. () T for itution i improv for riving bring n t uing lifpn of riving bring i prolong. Ζf Ζο Ζf Ζο n rx x n g tx / x n n o Xο Yο ty n ry y f g y f n b b Yf Yο r n f Of Xf t Oo f Xο n igur : for on t orbiting roll REERENCES [1] Etuo Moriit, t l, 1984, Sroll Compror Anlytil Mol, Pro. Int. Compror Enginring Confrn t Puru, P.487-495 [] Toio Kuiro, t l, 1990, Dvlopmnt of Sroll-Typ Oil-r uum Pump, Pro. Int. Compror Enginring Confrn t Puru, P.147-155 [] Etuo Moriit, t l, 199, Bi Stuy on Engin wit Sroll Compror n Expnr, Pro. Int. Compror Enginring Confrn t Puru, P.577-586 [4] Zo Yunyng, t l, 00, Rr on Oil-r Air Sroll ompror wit Hig Sp in 0 Kw ull Cll, Appli Trml Enginring, () P.59-60 [5] Etuo Moriit, t l, 1985, Gomtril Tory of Sroll Compror (in Jpn), Turbomin, ol.1, No.4, P.- Intrntionl Compror Enginring Confrn t Puru, July 1-15, 004