International Journal of Modern Engineering Research (IJMER) Vol. 2, Issue. 5, Sep.-Oct pp ISSN:

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1 Innainal Jnal f Mdn Engining Rsah IJMER.i. Vl. Iss. 5 Sp.-O. pp ISSN: Sdhaa R. Sinivasa Ra and M. Rangaa pan f Mahais nivsi llg f Sin Osania nivsi Hdabad Andha Padsh India. pan f Mahais Padasi. B. V. Ra Insi f hnlg Nasap Mda Andha Padsh India. Absa: h sd f his pap invsiga h ff f hial ain n an nsad agnhddnai f nvin fl f a viss inpssibl flid pas an infini vial alad pla bddd in ps di ih hal diffsin diffsin h and nsan ha flx in h psn f ansvs agni fild. h gvning qains a slvd b Galin fini ln hd. h sls a baind f vli pa nnain sin fiin Nssl nb and Shd nb. h ffs f diffn fl paas n h fl vaiabls a disssd and psnd hgh gaphs and abls. And h nial sls f s spial ass pad ih hadha al. [5] and fnd b in gd agn. ds: hal diffsin iffsin h nsad F nvin MH Ha flx Galin fini ln hd. Nnla: insinlss nnain hial lla diffsivi Psi f h ps di Eln llisin i in S nnain na h pla Rfn vli nnain in h flid fa Eln hag lbs insinlss pa aa f h pla M Haann nb pa f h flid n Nb dnsi f h ln pa f h pla Mass diffsivi pa f h flid fa aa hal diffsin ai f h pla s nnain sspibili Vli pnn in x diin Man flid pa x Spaial dina alng h pla P Pandl nb inais vissi /s pla P Eln Pss N/ Spaial dina nal h S Shid Nb pla g Alain d Gavi 9.8 /s hal iffsivi Man abspin ffiin G Gashf Nb hal ndivi W/ hial ain paa Elial ndivi h/ Vli ffiin f hal Vissi Ns/ Expansin - Magni pabili G Mdifid Gashf Nb Hn/ S S nb p Spifi ha a nsan Pss J/g- f nb ffiin f vl xpansin ih nsi g/ 3 Spis nnain q Radiaiv ha flx hial ain ff n an nsad MH f nvin fl pas an infini vial alad pla ih nsan ha flx hal diffsin and diffsin h Eln fqn adian/s I. Indin h phnnn f hdagni fl ih ha and ass ansf in an liall nding flid pas a ps pla bddd in a ps di has aad h anin f a gd nb f invsigas bas f is vaid appliains in an ngining pbls sh as MH gnas plasa sdis nla as il xplain ghal ng xains and in h bnda la nl in h fild f adnais. Ha ansf in laina fl is ipan in pbls daling ih hial ains and in dissiaing flids. bind ha and ass ansf pbls ih hial ain a f ipan in an psss and hav hf ivd a nsidabl an f anin in n as. In psss sh as ding vapain a h sfa f a a.i. 339 Pag

2 Innainal Jnal f Mdn Engining Rsah IJMER.i. Vl. Iss. 5 Sp.-O. pp ISSN: bd ng ansf in a ling and h fl in a ds l ha and ass ansf silansl. Pssibl appliains f his p f fl an b fnd in an indsis. F xapl in h p inds ang h hds f gnaing li p is n in hih lial ng is xad dil f a ving nding flid. Man paial diffsiv pains invlv h lla diffsin f a spis in h psn f hial ain ihin a h bnda. h a ps f ains hgns ain and hgns ain. A hgns ain is n ha s nifl hgh a givn phas. h spis gnain in a hgns ain is analgs innal s f ha gnain. In nas a hgns ain as pla in a sid gin ihin h bnda f a phas. I an hf b ad as a bnda ndiin siila h nsan ha flx ndiin in ha ansf. h sd f ha and ass ansf ih hial ain is f ga paial ipan ngins and siniss bas f is als nivsal n in an banhs f sin and ngining. h fl f a flid pas a dg is f fndanal ipan sin his p f fl nsis a gnal and id lass f fls in hih h f sa vli is ppinal a p f h lngh dina asd f h sagnain pin. All indsial hial psss a dsignd ansf hap a aials high val pds sall via hial ain. A a in hih sh hial ansfains a pla has a sval fnins li binging aans in inia na pviding an apppia nvinn pa and nnain filds f adqa i and alling f val f pds. Flid dnais plas a pival l in sablishing lainship bn a hada and a pfan. F a spifi his aals h a pfan is a plx fnin f h ndling ansp psss. h fis sp in an ain ngining analsis is flaing a ahaial fa dsib h a and haniss b hih n hial spis is nvd in anh in h absn f an ansp liiains hial inis. On h ininsi inis is availabl h pdin a and psiin f h pds an b lad in pinipl a vl a nfigain and d f pain b slving ass n and ng balans v h a. his is h nal as f a ain and a ngining aivi. Analsis f h ansp psss and hi inain ih hial ains an b qi diffil and is inial nnd h ndling flid dnais. Sh a bind analsis f hial and phsial psss nsis h f hial ain ngining. Rn advans in ndsanding h phsis f fls and painal fl dling FM an a nds nibins in hial ngining. In vi f is id appliains Ahaa al. [] hav pd h pbl f ha and ass ansf v an alaing sfa ih ha s in psn f sin and bling. haha and aha [3] a sd h bl diffn hd sd laina f nvin fl f ai pas a si infini vial pla in h psn f hial spis nnain and hal adiain ffs. handan and his assias [4] hav disssd h nsad f nvin fl f an liall nding flid ih ha flx and alad bnda la in in psn f a ansvs agni fild. hadha al. [5] sdid h ff f f nvin ffs n agnhddnai fl pas an infini vial alad pla bddd in ps dia ih nsan ha flx b sing Lapla ansf hniq f finding h analial slins. as and Mia [6] disssd h nsad ixd nviv MH fl and ass ansf pas an alad infini vial pla ih sin. Rnl as and his s [7] analzd h ff f ass ansf n MH fl and ha ansf pas a vial ps pla hgh a ps di nd silla sin and ha s. as al. [8] invsigad niall h nsad f nviv MH fl pas an alad vial pla ih sin and ha flx. as and his assias [9] siad h ass ansf ffs n nsad fl pas an alad vial ps pla ih sin pling fini diffn analsis. Gish a al. [] invsigad ffs f hial ain and ass ansf n MH nsad f nvin fl pas an infini vial pla ih nsan sin and ha sin. Hasi [] iniiad h bnda la gh n a fla pla ih sin inin. Ibahi [] sdid h ffs f hial ain and adiain abspin n ansin hdagni naal nvin fl ih all anspiain and ha s. Jha [3] analzd h ff f applid agni fild n ansin f nviv fl in a vial hannl. h nsad f nviv MH fl ih ha ansf pas a si-infini vial ps ving pla ih vaiabl sin has bn sdid b i [4]. Maind al. [5] disssd h nsad f nviv fl ih sin n an alaing ps pla. Mansi al. [6] hav disssd h sad fl f a nn Nnian flid pas a ps pla ih sin inin. Saangi and Js [8] sdid h nsad f nviv MH fl and ass ansf pas a vial ps pla ih vaiabl pa. Shaa and Pa [9] xplaind h bhavi f sad f nviv MH fl pas a vial ps ving sfa. Singh and his s [] hav analzd h ff f ha and ass ansf in MH fl f a viss flid pas a vial pla nd silla sin vli. Singh and ha [] hav givn an xa slin f a plan nsad MH fl f a nn Nnian flid. Sndalga [] shd h ff f f nvin n sad MH fl f an liall nding flid pas a vial pla. Yaa and Iaa [3] xplaind h fl f a viss flid ih nviv alain hgh a ps di. Miva b abv fn i is ppsd h sd h ff f hial ain n an nsad MH f nvin fl pas an infini vial alad pla bddd in ps dia ih nsan ha flx hal diffsin and diffsin h b Galin fini ln hd hih is nial f painal vi pin and h sls baind a gd agn ih h sls f hadha al. [5] in s spial ass..i. 333 Pag

3 Innainal Jnal f Mdn Engining Rsah IJMER.i. Vl. Iss. 5 Sp.-O. pp ISSN: i. 333 Pag II. Mahaial analsis: W nsid a dinsinal fl f an inpssibl liall nding viss flid alng an infini nn nding vial fla pla hgh a ps di. Iniiall f i h pla and h flid a a s pa in a saina ndiin ih h sa spis nnain a all pins. h x axis is an alng h pla in h viall pad diin and h axis is an nal h pla. A i > a agni fild f nif sngh is applid in h diin f axis and h indd agni fild is ngld. A i > h pla sas ving iplsivl in is n plan ih a vli ih ha spplid h pla a nsan a. h gvning qains f in and ng nd sal Bssinsq s appxiain a givn b: nini Eqain: v v v nsan Mn Eqain: g g B Eng Eqain: p S p 3 iffsin Eqain: 4 Wih h flling iniial and bnda ndiins: 5 Inding h flling dinsinlss qaniis: 3 3. P S g G g G B M S P S p 6 sing dinsinlss qaniis f 6 h qains 3 and 4 ds M G G 7 P P 8 S S S S 9 a a q fall : :

4 Innainal Jnal f Mdn Engining Rsah IJMER.i. Vl. Iss. 5 Sp.-O. pp ISSN: ih h flling iniial and bnda ndiins : f all d a : d a All h phsial vaiabls a dfind in h nnla. III. Mhd f slin Appling h Galin fini ln hd f qains 7 9 v h ln N P Q d N S S R d i Wh B M P G G Q P i i L h lina piis appxiain slin b N N N N ilds N B Pd i R S S N N N N N N N N. N Wh N N N N N. N h diffnial qains 3 sbd h bnda ndiins a highl nn lina and pld and ann b slvd analiall. hf flling Bah [] and Rdd [7] s h fini ln hd bain an aa and ffiin slin h bnda val pbl nd nsidain. h fndanal sps pising h hd a as flls: Sp : isiz h dain in lns: h hl dain is dividd in a fini nb f sb dains. Eah sb dain is d b a fini ln. h llin f h lns is dsignad h fini ln sh. Sp : iv h ln qains: h divain f h fini ln qains i.. h algbai qains ang h nnn paas f h fini ln appxiain invlvs nsing h vaiainal flain f h diffnial qain assing h f f h appxia slin v a pial fini ln and diving h fini ln qains b sbsiing h appxia slin in h vaiainal flain. Sp 3: Assbl h ln qains: h algbai qains baind a assbld b ipsing h in ln nini ndiins. his ilds a lag nb f algbai qains hih an nsi h glbal fini ln dl gvning h hl fl dain. Sp 4: Ips h bnda ndiins: h phsial bnda ndiins dfind in qain a ipsd n h assbld qains. Sp 5: Slv h assbld qains: h final aix qain an b slvd b a di indi iaiv hd. F painal ppss h dina vais f ax h ax psns infini i.. xnal h n ng and nnain bnda las. h hl dain is dividd in lin lns ih h qal idh.5 and ah ln has h nds. hf af assbl f all h ln qains bain a aix f h d. his baind ss f qains af assbl f h ln qains is nn lina. hf an iaiv sh is sd slv i. h ss is linaizd b inpaing h nn fnins. Af appling h givn bnda ndiins nl a ss 3.i. 333 Pag

5 Innainal Jnal f Mdn Engining Rsah IJMER.i. Vl. Iss. 5 Sp.-O. pp ISSN: f 95 qains ains f h slin hih has bn slvd b sing h Gass liinain hd. his pss is 4 pad nil h dsid aa f 5 is baind. IV. Sin fiin and a f ha and ass ansf h sin fiin Nssl nb and Shd nb a ipan phsial paas f his p f bnda la fl. h sin fiin a h pla hih in h nn dinsinal f is givn b v 4 h a f ha ansf ffiin hih in h nn dinsinal f in s f h Nssl nb is givn b N x N R x 5 h a f ass ansf ffiin hih in h nn dinsinal f in s f h Shd nb is givn b Sh x Sh R x 6 x Wh R is h lal Rnlds nb. V. Rsls and isssins In d ndsand h ffs f diffn paas in h pbl vli pa and nnain pfils sin fiin Nssl nb and Shd nb hav bn disssd b assigning nial vals vais paas Gashf nb G Mdifid Gashf nb G Pandl nb P Shid nb S Haann nb M Pabili paa S nb S f nb and hial ain paa spaal. W disssd h ffs f aial paas n pia vli pfils f figs pa pfils f figs and and nnain pfils f h figs 3 5. ing h s f nial allains f h pia vli pa and nnain h vals f h Pandl nb a hsn f M P =.5 Ai a 5 and n asphi pss P =.7 Wa P = 7. and Wa a 4 P =.6. fs anin n nial vals f h sls baind in h sd h vals f S a hsn f h gass psning diffsing hial spis f s n ins in ai nal Hdgn S =. Hli S =.3 Wa vap S =.6 Oxgn S =.66 and Ania S =.78. F h phsial signifian h nial disssins in h pbl and a =. sabl vals f pia vli snda vli pa and nnain filds a baind. xain h ff f paas lad h pbl n h vli fild and sin fiin nial pains a aid a P =.7. find h slin f his pbl hav plad an infini vial pla in a fini lngh in h fl. Hn slv h ni pbl in a fini bnda. Hv in h gaphs h vals va f 4 and h vli pa and nnain nd z as nds 4. his is f an val f. hs hav nsidd fini lngh.. Vli fild h vli f h fl fild is fnd hang lss ih h vaiain f h fl f nin paas. h a fas affing h vli f h fl fild a Gashf nb G Mdifid Gashf nb G Pandl nb P Shid nb S Haann nb M Pabili paa S nb S f nb and hial ain paa. h ffs f hs paas n h vli fild hav bn analzd ih h hlp f figs. Fig shs h ff f Gashf nb f ha ansf.i Pag

6 Innainal Jnal f Mdn Engining Rsah IJMER.i. Vl. Iss. 5 Sp.-O. pp ISSN: n vli. h Gashf nb G f ha ansf is fnd nhan vli a all pins d h ain f f nvin n in h fl fild. Fig 3 psns h ff f Gashf nb f ass ansf n vli. h fig shs h alaing ff f h paa G n h vli f h fl fild a all pins. In fig 4 dpi h ff f Pandl nb n vli f h fl fild. h psn f havi Pandl nb in h fl fild is fnd dla vli a all pins. In fig 5 dpi h ff f Shid nb n vli f h fl fild. h psn f havi Shid nb in h fl fild is fnd dla vli a all pins. h ff f Haann nb M is shn in h fig 6. I is bsvd ha h vli f h flid dass ih h inas f Haann nb vals. As xpd h vli dass ih an inas in h Haann nb. I is bas ha h appliain f ansvs agni fild ill sl in a sisiv p f Lnz f siila dag f hih nds sis h flid fl and hs ding is vli. Als h bnda la hinss dass ih an inas in h Haann nb. W als s ha vli pfils das ih h inas f agni ff indiaing ha agni fild nds ad h in f h flid. Magni fild a nl h fl haaisis. Fig 7 shs h ff f h pabili f h ps di paa n h vli disibin. As shn h vli is inasing ih h inasing dinsinlss ps di paa. h ff f h dinsinlss ps di bs sall as inas. Phsiall his sl an b ahivd hn h hls f h ps di a b ngld. F figs 8 and 9 h ffs f S and f nbs n h vli fild a shn. W bsv ha h vli inass ih h inas f bh f and S nb. Fig displas h ff f h hial ain paa n h vli pfils. As xpd h psn f h hial ain signifianl affs h vli pfils. I shld b nind ha h sdid as is f a dsiv hial ain. In fa as hial ain inass h nsidabl din in h vli pfils is pdid and h psn f h pa indias ha h axi val f h vli s in h bd f h flid ls h sfa b n a h sfa. 5. pa fild h pa f h fl fild sffs a sbsanial hang ih h vaiain f h fl paas sh as Pandl nb P and f nb.hs vaiains a shn in figs and. An inas in Pandl nb dass h pa fild fig. Als pa fild falls apidl f Wa in paisn Ai and h pa fild v is xal lina f M hih is snsibl ads hang in pa. F his bsvain i is nldd ha M is s ffiv f ainaining pa diffns an b sd ffiinl in h laba. Ai an pla M h ffivnss f ainaining h pa hangs a h lss han M. If pas a ainaind Ai an b b and hap plan f indsial ppss. h f nb ds n n dil in h n and ass qains. hs h ff f f nb n vli and ass pfils is n appan. Fig shs h vaiain f pa pfils f diffn vals f. h paa has ad ffs n h pa pfils. I is bsvd ha h pa pfils inas ih h inasing vals f. I is als bsvd f his fig ha hn =. ha is hn h ai bn pa and nnain gadin is v sall h pa pfil shs is sal nd f gadal da. As f nb bs lag h pfils vsh h nif pa ls h bnda. 5.3 nnain disibin h nnain f h fl fild sffs a sbsanial hang ih h vaiain f h fl paas sh as Shid nb S S nb S and hial ain paa. hs vaiains a shn in figs f 3 5. F fig 3 shs ha an inas in Shid nb dass h nnain fild. Als nnain fild falls sll and sadil f Hdgn and Hli b falls v apidl f Oxgn and Ania in paisn Wa vap. hs Wa vap an b sd f ainaining nal nnain fild and Hdgn an b sd f ainaining ffiv nnain fild. h S nb S ds n n dil in h n and ng qains. hs h ff f S nb n vli and pa pfils is n appan. Fig 4 shs h vaiain f nnain pfils f diffn vals f S. h paa S has ad ffs n h nnain pfils. I is bsvd ha h nnain pfils inas ih h inasing vals f S. I is als bsvd f his fig ha hn S =. ha is hn h ai bn nnain and pa gadin is v sall h nnain pfil shs is sal nd f gadal da. As S nb S bs lag h pfils vsh h nif nnain ls h bnda. Fig 5 displas h ff f h hial ain paa n nnain pfils. As xpd h psn f h hial ain signifianl affs h nnain pfils. I shld b nind ha h sdid as is f a dsiv hial ain. In fa as hial ain inass h nnain dass. I is vidn ha h inas in h hial ain signifianl als h nnain bnda la hinss b ds n al h n bnda las..i Pag

7 Innainal Jnal f Mdn Engining Rsah IJMER.i. Vl. Iss. 5 Sp.-O. pp ISSN: Sin fiin and a f ha and ass ansf abl shs h vaiain f diffn vals G G P his abl i is nldd ha h sin fiin bhavi is fnd s vs ih h inas f P S M and. abl. Vaiain f nial vals f sin fiin S M S and n sin fiin. F inass as h vals f G G S inas and his f diffn vals f G G S P M S and G G P S M S abl shs h vaiain f Nssl nb N diffn vals P and. F his abl i is nldd ha h Nssl nb N inass as h val f inass and his bhavi is fnd s vs ih h inas f P. abl 3 shs h vaiain f Shd nb Sh diffn vals S S and. F his abl i is nldd ha Shd nb Sh inas as h val f S inas and his bhavi is fnd s vs ih h inas f S and. abl. Vaiain f Nssl nb N f diffn vals f P and P N abl 3. Vaiain f Shd nb Sh f diffn vals f S S and S S Sh In d asain h aa f h nial sls h psn sin fiin sls a pad ih h pvis sin fiin sls f hadha al. [5] in abl 4. h a fnd b in an xlln agn. abl 4: paisn f psn Sin Fiin sls ih h Sin Fiin sls baind b hadha al. [5] f diffn vals f G P and M G P M i Pag

8 Innainal Jnal f Mdn Engining Rsah IJMER.i. Vl. Iss. 5 Sp.-O. pp ISSN: VI. nlsins In his pap h gvning qains f h ff f hial ain n an nsad agnhddnai f nvin fl f a viss inpssibl flid pas an infini vial alad pla bddd in ps di ih hal diffsin diffsin h and nsan ha flx in h psn f ansvs agni fild has bn psnd. Epling h highl ffiin fini ln hd h lading qains a slvd niall. h sls illsa h fl haaisis f h vli pa nnain sin fiin Nssl nb and Shd nb. h nlsins f hs sls a:. I is bsvd ha h vli f h flid inass ih h inasing f paas G G S and dass ih h inasing f paas P S M and.. h flid pa inass ih h inasing f and dass ih h inasing f P. 3. h nnain f h flid inass ih h inasing f S and dass ih h inasing f S and. 4. F abl i is nldd ha h sin fiin inass ih h inasing vals f G G S and his bhavi is fnd s vs ih h inasing f P S M and. 5. F abl i is nldd ha h Nssl nb N inass ih h inasing vals f and his bhavi is fnd s vs ih h inasing f P. 6. F abl 3 i is nldd ha h Shd nb Sh inass ih h inasing vals f S and his bhavi is fnd s vs ih h inasing f S and. 7. On paing h sin fiin sls ih h sin fiin sls f hadha al. [5] i an b sn ha h ag v ll. Rfns [] M. Ahaa L. P. Singh and G.. ash Ha and ass ansf v an alaing sfa ih ha s in psn f sin and bling In. J. Engng. Si []. J. Bah Fini Eln Pds Pni Hall N Js 996. [3] A. J. haha H. S. haha and V. M. Sndalga Radiain ffs n f nvin fl pas a si infini vial pla ih ass ansf hial Engining Jnal [4] P. handan N.. Sahi and A.. Singh nsad hdagni f nvin fl ih ha flx and alad bnda in J. Phs. S. Japan [5] R.. hadha M.. Gal A. Jain F nvin ffs n MH fl pas an infini vial alad pla bddd in ps dia ih nsan ha flx Maaias Ensnanza nivsiaia XVII [6] S. S. as and M. Mia nsad ixd nviv MH fl and ass ansf pas an alad infini vial pla ih sin Ind. J. Si. h [7] S. S. as A. Saapah J.. as and J. P. Panda Mass ansf ffs n MH fl and ha ansf pas a vial ps pla hgh a ps di nd silla sin and ha s In. J. Ha Mass ansf [8] S. S. as A. Saapah J.. as and S.. Sah Nial slin f nsad f nviv MH fl pas an alad vial pla ih sin and ha flx J. la Si. Phs. Si [9] S. S. as S.. Sah and G.. ash Nial slin f ass ansf ffs n an nsad fl pas an alad vial ps pla ih sin Bll. Malas. Mah. Si. S [] J. Gish a P. V. Saanaaana and S. Raaishna Effs f hial ain and ass ansf n MH nsad f nvin fl pas an infini vial pla ih nsan sin and ha sin J.la Sinis [] H. Hasi Bnda la gh n a fla pla ih sin inin J. Phs. S. Japan [] F. S. Ibahi A. M. Elai and A. A. Ba Eff f h hial ain and adiain abspin n h nsad MH f nvin fl pas a si infini vial pabl ving pla ih ha s and sin niains Nnlina Sin Nial Silain [3] B.. Jha Effs f applid agni fild n ansin f nviv fl in a vial hannl Ind. J. P Appl. Mah [4] Y. J. i nsad MH nviv ha ansf pas a si infini vial ps ving pla ih vaiabl sin In. J. Engg. Si [5] O.. Maind J. M. Mang and. M. hi nsad f nvin fl ih sin n an alaing ps pla AMSEJ. Md. Mas. n. B [6]. Mansi G. Pnlli and. R. Raagpal Sad fls f nn-nnian flids pas a ps pla ih sin inin In. J. N. Mhds Flids [7] J. N. Rdd An Indin h Fini Eln Mhd MGa Hill N Y 985. [8].. Saangi and. B. Js nsad f nviv MH fl and ass ansf pas a vial ps pla ih vaiabl pa Bll. al. Mah. S i Pag

9 Innainal Jnal f Mdn Engining Rsah IJMER.i. Vl. Iss. 5 Sp.-O. pp ISSN: [9] P. R. Shaa and. Pa Sad f nvin MH fl pas a vial ps ving sfa Ind. J. h. Phs [] A.. Singh A.. Singh and N. P. Singh Ha and ass ansf in MH fl f a viss flid pas a vial pla nd silla sin vli Ind. J. P Appl. Mah [] B. Singh and. ha An xa slin f plan nsad MH nn Nnian flid fls Ind. J. P Appl. Mah [] V. M. Sndalga F nvin ffs n sad MH fl pas a vial ps pla J. Flid Mh [3]. Yaa and N. Iaa Fl ih nviv alain hgh a ps di Engg. Mah ' x ' ' v g B Vial ps pla Ps Mdi O ' ' ' Fig. Phsial sh and g f h pbl = Fig. Eff f Gashf nb G n vli pfils 3 = = Fig 4. Eff f Pandl nb P n vli pfils = Fig 3. Eff f Mdifid Gashf nb G n vli pfils.i. 3 Fig 5. Eff f Shid nb S n vli pfils 3337 Pag

10 Innainal Jnal f Mdn Engining Rsah IJMER.i. Vl. Iss. 5 Sp.-O. pp ISSN: = = Fig 6. Eff f Haann nb M n vli pfils 3 Fig 9. Eff f f nb n vli pfils = = Fig 7. Eff f Pabili paa n vli pfils 3 Fig. Eff f hial ain paa vli pfils n 4 = = Fig 8. Eff f S nb S n vli pfils 3 Fig. Eff f Pandl nb P n pa pfils.i Pag

11 Innainal Jnal f Mdn Engining Rsah IJMER.i. Vl. Iss. 5 Sp.-O. pp ISSN: = = Fig. Eff f f nb n pa pfils 3 Fig 4. Eff f S nb S n nnain pfils = = Fig 3. Eff f Shid nb S n nnain pfils 3 Fig 5. Eff f hial ain paa nnain pfils n.i Pag