Hgh-Od Dcnn Gln Mhd Mdlng Mc-Pld Pl h* G. Ln nd G.. Knd Dn ld Mhc n n Pdnc RI 9 4-86-7 gln@c.bn.d g@c.bn.d IP--54 n n ncl hd dl c-ld l h ngl -ld/ l l. cl/h ln l dcn ld bh cd nd ncd h n - nd h-dnn. h hd bd n dcnn Gln n h dcn nd dn cnn nd bl n h L n. Pln ln MHD l n dn g nd nd -nn dnd h ll hgh d ccc h -hng. Indcn h ld l h PP h bn dd cll h []. h h' nl lc nd bn lld n cl nl nl dng h 96' nd 97'. Rnd n ll ll n h d h ngn PP bh n d ch d nc nd b ngh clng n [-5]. Mc-PP h cnnnl PP.. ln bld nd nd dng ld dchg. H h ggng chn b dn nd n c n ll [6]. c-pp h chcc dnn h d hch n d gnd l hn n h ll cnnnl PP dgn. h cl ng dchg h d nd h bld l l b µg. l cl c-pp bcd dd RL h nd d nd bl ln. µg/l [6]. Mdlng h n c-dn n ch c c n nd h b n l lc-dnc nd g dnc cl. cbnd c -cnn ch d dd cd h nn-lb c cll h ll c-pp dgn. In cl n ddn h l-c n h l n PP nd h clng h h nl cc nd h blng ld c n c-pp l nd dd: nn nnl nd d g. Mll nd lngh cl. l nd hh ncn. Lcl nn-lb c. Dn lcc cc. N l-ggng chn. In h d cnn-bd hdlg h h c c b h n ncd l bnd cndn. hgh-d bnd cndn lc l nd j h bn dld n [7] nd ll b lnd n h cn h cnn ch. l lll PI N. Gn cncn cd n c dlng c-pp. * Pnd P IP--54 h 7 h Innnl lcc Pln nnc Pdn 5-9 Ocb. gh b n n. Pblhd b h lcc Rc Pln c h n.
h cbl gn-hd-dnc MHD n dcbng l l n PP dndn. In ddn h n ngl cld nd hb d hblc/blc chc dndng n h ng h lg ng l nd l cl nld. M h h bn dl ddd n h blhd [8-]. H n h ln h cn ncl hd h h l-d cc. Hgh-d ccc n cng h nhn nn bh PP. M hgh-d hd bl lng ll cl n h c c-ld l h. Nglcng h n cnbn h lcn nd cndng h n nd lcn h dn h l l cn b dld ngl-ld/- bl. h n h dgnc- cndn h gnc ld l n l h hblc h dl MHD n. h dln bl Rnn l b Pll [] cn b l ndd l-dnn nd l hghd dcn. In h llng l h dcnn Gln hd h dcn nd dn n. hn n h cc lgh h MHD n. bnl n ncl ln MHD l n c-pp n - nd h dnn. cncld h b. Dcnn Gln ln n h dcnn Gln DG ln gnc dcndn n h µ h nd cnd ncd nd c l cnbn cl. cc lnn h MHD ll b dcd l n h n cn. lng h dcn-dn n h ll n h ncd nd c cnbn hch n gnl hb dn hcl. Dcnn Gln dcn ln h ln cnd h ln -dnnl n dcn cnd n n gn h g h l c hch dn h n. h h nl n h ndd Gln ln b llng b ncn nd ngng b d n d d h n h n nl nd h l. In h dcnn Gln ln ch ln d l cndng nl n ngng b nc nd H ncl l h nc bn ln : :n h chn bd n nd cndn. n bnd ng n Rnn l [4]. Dcnn Gln Dn h n d n h dcnn Gln ln dn l h n n d hd [5].. h n l bl. H cnd dl bl blc n h bl ccn µ dn h n h c cnbn: µ n L 4
. n g hn ndc h l bl µ h L nd - h blc n n n / µ n g h ln h bl hn ll. nd L L ch h L n b / L n b µ n g ngng b gn bn n ln ln hch ln. h n nl bl L n b / L n b µ n g H h bc dn cnbn ld h n d h bnd. h h bnd dnd b b ld bd n gng h cndng l h d h ln. h b cnl ld lcl b ln ch lc l nd cndn. In c cl/h dcn ld h nl cb hgnl lnl h n ch ln [4]. Gnng n h ngl-ld/- l n cn b d n cn n cc nn τ I n cn σ σ n cn I l l P P σ σ τ φ τ P h j j j δ τ l ε ε nd l h Gnld Oh L n P cn η lnl n l h h lcl d l h d MHD
P P P P P P MHD φ τ h l κ c µ P µ L η L h nn h nc h cnn l h h n d n h cl hblc chc. I h bn hn n [6] h n ll dgnc n h gnc ld cn dcll chng h chc l ncl ln. H ll h ln Pll []. ngl h d -l h cbn ncld n "ghh-".. h dgn d h cnd lc. In h h dgnc cd h h dgnc- cndn dd; h h gnl h cbn n h. h dcn cl cnd ddng h MHD n c nl h gh-hnd-d h ln n. h cn ln h dn h n nd lcn nd h l nb gnl nn. Ilnn h Incd l l h ncd l nd h d n h n h ln nd dd ccn ll
h dcnn n h l bn n djcn ln dcd n bcn.. In d l h ncd l n ln nc n-dnnl Rnn l l ncl l h. dn bnd h cd cndn nd h bnd h bnd gh ln. h cn h Rnn l ll ln bnd. ln h n-dnnl l n n h nl dcn hd ln-bnd ng h g h c h d h ln bnd. h nc n nnln ncn h c h g n n h cbn h l c c. h cbn h l c h ln n d n bl l hn h cnd. h h lnn h nd n h cnd. h cbn 99 nd h h h cld l- nd gh-gnc h cbn d Pll [] n λ l ln λ l λ l d [] h n nnh hch cnd h lcn ng: l h: * 4 4 * * 4 4 * * gn
cn n bn h nd cnd bl h h llng n c h ω υ h cnd bl nd ω υ h bl. h g: ω υ ω υ nd h. n n n l h ncl l h ln bnd. h llng ln h ndd l: 9 5 I I λ 6 I l H h l nd h dd l nd gh gnc h cbn. h l h h gh gnc clcl h cnd l. h λ h d cd h h gnc. Ilnn h h c ld n. bn h l d h bl ng h dcnn Gln ch. hn h c ch h c l ng h d. Dchl bnd cndn h n nd ng chcc bl cn b d l lcl h l h bn ld nd hn jc h l ng h hgnl cb lnl b. Ncl ln Mc-PP dld h c MHD ld nl cnd -dnnl dl bl h l h c-pp d n [6]. ccll h dld -dnnl MHD cd b bl dl h -dndn bnd cndn ll bl. h bnd cndn nln Inl : n. π..
7.4 lcn l h cndng nl cndn nln :... 7.4 l lcn g - lcn nnl ng n c MHD nd ld nl. g - ncd h PP dl h c MHD nd ld nl. g 4 - In nnl ng n c MHD nd ld nl. In g h h ncd h h b gn. h lnl d d n ch ln 4. In g nd 4 h cl l h l l. - nd h-dnnl MHD l n L/6 PP H cnd h L/6 PP g; nc [7] dnn. -dnnl MHD l n Mc-PP L/6 g - Mn n dcn. h h ld n h -dnnl ln hn n g 5. h bnd cndn l : Inl:.6 g/
n l. 5 µ j h: 7 H 4 µ 4π σ. 6 j σ h. h / R l µ 6 K R R l µ Ol:.6 5 g / g 5 - cd h -dnnl PP L/6 dl. l nl. 6K > R l µ ld h llng nl cndn:.6 g/.45 5.6 g/.45 <.6 g 6 - PP L/6 dl nl ccln. µ j.45.6 j.45µ.45 <.6.6.45.6 <.6 h: 7 H 4 µ 4π σ. 6 j σ h. h g 7 - lc n PPL/6 ng n l hd. 6 K K.6 < <.6
lng cl dn d bn h l. h-dnnl MHD l n Mc-PP L/6 R L ll c c g 8 lc n PPL/6 ng cnd-d cl/h ln hd. I.c.4c Inl 6K 6R ll Ol.5 6K 6R >. g ch h h-dnnl PP L/6 nd bnd cndn. g 9 - lc n PPL/6 ng h-d cl/h ln hd. N l h h-dnnl L/6 PP hn n g. h cndng cd h hn n g. h bnd cndn : Inl:.6 g/ g - lc n PPL/6 ng h-d cl/h ln hd. In g 6 h h nl ccln bnd n h ln L/6. g 7 h cc -nn.. h d h cb lnl ncd h chng h h g 5. h h ln d gncnl nd bnd h-d h ll cngnc. N h h n l gn h c h dl h l h hc nd gdn hch cnnnl cl hd cnn hndl. H h dcnn Gln hd bl n h L n nd n lc Ol: h:.5µ j 7 H 4 µ 4π σ. 6 j σ h. h 6 K R l R µ
5.6 g/. l nl 6 K > l R µ h nl cndn l : g - cd h h-dnnl PP L/6 dl..6 g/.45 5.6 g/.45 <.6 µ j.45.6 j.45µ.45 <.6.6.45.6 <.6 h: 7 H 4 µ 4π σ. 6 j σ h. h 6 K K.6 < <.6 g - lc n hdnnl PP L/6 dl. / R l µ In g nd l nnn cn h lc nd h l ng h ln ln. g 4 - l ng n h-dnnl PP L/6 dl.
h nd hgh-d hd dl c MHD ld ngl ld b n nd lcn. In h h hn ll h h hd nd h -nn.. cl nn cn ld hgh ccc n n h nc gdn nd n hc. In ll cl h MHD l n bln dl nd h nl cc nd ll ln lc l nd j bnd cndn. h ddn nc n d d nngl n nn h d h dgn c-pp. cnldgn h d b h nl Mhc g OR. n d NPI nd n IM P. ld l hn P. N. Gn PI l ggn gdng h. Rnc []. lb nd R.. nd Pnc d ld l-ld lcc ch. cc 6 97. [] H. Kh nd P.. ch Dgn n nd ngn n ndcl-dn ld l h I 98-84 4 h I/M// n Pln nnc & hb l -5 998 llnd OH. [] P.. ch I.G. Mld P.G. Mld nd H. Kh On ld l h cll ln I-99-5 h I/M// n P ln nnc & hb -4 n 999 L ngl. [4].. chlnn R. I.G. Mld P.. ch nd P.G. Mld Pld l h n d n cbl I-- 6 6 h I/M// n Pln nnc & hb 6-9 l Hnll lb. [5] H. Kh P.. ch P.G. Mld nd I.G. Mld nl nd hcl ngn n n-nch cl ld l h I- -6 6 h I/M// n Pln nnc & hb 6-9 l Hnll lb [6].. Glcn M.. Dllgn.P. L nd G.G. nj Mcln ch RL I -55 8 h n Pln nnc & hb 6-9 l Hnll lb. [7] G.. Knd nd. Mc l: ndnl nd ln ng. [8]. D nd P.R. dd l Rnn l nd hgh-d Gdn ch hblc cnn l.. Ph. 5 995. [9]. L. Zch. Mlgl nd P. lll hghd Gdn hd ldnnl dl gnhddnc IM. c.. 5 994 [] R..Pn M.H. nd.r.nc n gnc l n n b cdn L cd.. Ph. 448 998 [] K.G.Pll n Rnn l Mgnhddnc chncl R I R 94-4 I N Lngl 994. [] O.. n. hl nd D.. bhd n lc ch nndl gnhddnc.. Ph. 997 [] P.lll M.D nd D.D. n n Dnc Mhd h Ncl ln Pl ld n chncl R RL-- 99 Lnc L Nnl Lb 998. [4].. bn nd G.. Knd Dcnn Gln Mhd h MHD n.. Ph. 568-64 999 [5]. Gl nd P.. R n ln Mhd N- n ng-lg N Y/ln 986. [6].. cbll nd D.. n h c nn dgnc n h ncl ln h gnhddnc n.. Ph. 546 98. [7] P.G.Mlld nd P.. ch Mdlng l bln n ln ld l h I 96-7 nd I/M// n Pln nnc & hb l - 996 n L.