Journal of Engineering Science and Technology Review 6 (1) (2013) Research Article

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1 Jes Jol of Egieeig Siee d Tehology Review 9 - Reseh ile JOURNL OF Egieeig Siee d Tehology Review High-esolio shee sed o he deeied oeffiie ehod d is ppliio Teg WU,* d Ligli WU College of Ho, Cosl d Offshoe Egieeig, Hohi Uivesiy, Nig 98, Chi College of Ho, Cosl d Offshoe Egieeig, Hohi Uivesiy, Nig 98, Chi Reeived 5 My ; eped 5 Jly s The pwid shee ehiis spios osillios i esolvig he oveively doied poles. I his ppe, high-esolio shee fo dveio eqio ws developed y sig he deeied oeffiie ehod o ede he eil diffsio. The ew shee is pplied o egl wve d Gssi wve. The esls show h he ew shee gees well wih he e solio fo pe oveio of Gss wve d he egl wve. The ew shee hs ee y h he oveiol pwid shee. Keywods: dveio eqio, deeied oeffiie ehod, eil shee, pwid shee. Iodio The dveio-diffsio eqio hs ee widely sed o sile sedie spo, poll dveio d he sfe, d so o. B i is hd o ge he e solio fo he dveio-diffsio eqio [,,]. Theefoe, y eil shees hve ee poposed o ge he eil solio of he eqio. dveive spo efes o sse eig ied log wih flid oio. Coside oi eig dveed dowse wih soe flid flowig hogh oe-diesiol pipe os veloiy,. The he oeio o desiy of he oi sisfies he dveio eqio of he fo I is esy o veify h his eqio dis solios of he fo, fo y fio. The oeio pofile o wve fo speified y siply popges wih os speed d hged shpe. Eqio is geelly lled oe spe diesio dveio eqio. Siilly, we ge he wo spe diesio dveio eqio v y. * E-il ddess: weg@hh.ed. ISSN: Kvl Isie of Tehology. ll ighs eseved. I Eqio, is he flow veloiy i he dieio, v is he flow veloiy i he y dieio, d y e flow dieios, d is he spo sse oeio. s o -D dveio eqio, he lssil p-wid diffeee shee e epess s [], / / > < 5 B he y is o qie high, espeilly i shok pig [5,,7,8]. The io eo is so lge h is sig e is ofied. Effos hve ee de o oi lss of shees fo his eqio [9,,,]. I his ppe, ew pwid diffeee shee sed o he deeied oeffiie ehod fo he dveio eqios wih he diesioless pees ws developed o ede he eil diffsio.. Upwid shee sed o he deeied oeffiie ehod. The ew pwid shee fo -D dveio eqio Cse : > Whe he veloiy, pee i Eq., is gee h zeo, d e ioded o he oveiol pwid shee, Eq., d he ew pwid shee is osed s, >,

2 T W d L.L W /Jol of Egieeig Siee d Tehology Review 9 - Usig Tylo epsio o he poi,, we oi... 7 Copig 7 d, we hve he followig eqios. 8 9 whee is diesioless pee o ede he eil diffsio, d C /. By solvig he Eq. 8-, we ge he epessios of he pees:,.,, Cse : < Whe hee is <, d e ioded o Eqio 5, d we ge he poi,, sig Tylo epsio we hve... Ssiig io, we oi 5 7 whee is diesioless pee. Solvig Eqs - 7, we hve,,,. Uifyig se d se, we oi he ew pwid shee ehod of he fo 5 8 Whee ; ; ;

3 T W d L.L W /Jol of Egieeig Siee d Tehology Review 9-5 ;, Copig pees: >, 5, 5, s,. /s,. ol opig ie is seods; < 95, 5,,. /s,., d he, s,, he ol opig ie is seods. The oped esls e show i Fige. I idies h, whehe > o <, he oped esls of he ew shee sed o he deeied oeffiie ehod e lose o he lyil solio esls. Fol 8 is he ew pwid shee sed o he deeied oeffiie ehod fo -D dveio eqio.. The ew pwid shee fo -D dveio eqio Veos spli ehod is eployed i he eil solio of he -D dveio eqio []. The wo-diesiol oveio is epessed i he followig wo eqios, Eq, 9 d Eq.. v y 9 Usig he deeied oeffiies ehod, we ge he eil solios of he ove eqios. / i C i Ci Ci i C5i C D C, D D i / / / i i i i / / / i D5i Di D Se s 8, i is esy o ge he epessio of pees i d.. Neil epeies Whe he veloiy is os, Eqio hs lyil solio. Fo he oigil ody odiios of C, f, < <, he lyil solio of Eqio is C, f Cse of oe-diesiol egl wve Se he iiil oeio s C,, C,, <, < 5 C > e esl he ew shee 5 5 X / < Fig.. Tes o he egl wve wih he oveiol pwid shee d he ew ehod Cse of wo-diesiol Gss wve Whe he veloiy i wo-diesiol oveio eqio is os, he iiil sfe will ove hoizolly ove ie. Se he iiil sfe epessed s y y, y ep[ ], δ δ whee. /s, v. /s,, y, δ, s,, y, he ol opig ie is 8 seods, d he oigil odiios. The oped esls e, y,,,, show i Fige. I showed h he Gssi wve shpe ws kep well fe 8 seods, d he eil diffsio is lile. The ew pwid shee e sed o ope he dveio of wo-diesiol Gss wve.

4 T W d L.L W /Jol of Egieeig Siee d Tehology Review 9 - eil diffsio fe 8 seods le, while i efle he egl wve shpe well. I peses good esl i solvig -D egl wve pole. iiil vle iiil vle Coped vle Fig.. Tes o he -D Gssi wve y he ew pwid shee Cse of wo-diesiol egl wve Mos shees well sile wves wih fl hges, sh s Gss wve d ellipil wve, e. B whe he wve hges pidly sh s egl wve, i is hd o ge good silio esls, d seios dispesio d dissipio poles geelly o. To veify he pefoe of he ew pwid shee i solvig wodiesiol dveio eqio, es o he ew pwid shee is deployed. I his se, he heigh of he egl wve is., he op widh d legh e, d he egl wve loes 75 5 d 75 y 5 he egiig. I he opio, he pees se s 5s,, y, -./s, v-./s, d 5s. The ple ee is ~ espeively i d y dieio. Whe d v e oss, Eqio hs lyil solio. Le s,y,f, y, d he lyil solio of Eqio o y ie e epessed s s, y, f, y v,, 7 whih es h he iiil wve shpe oves hoizolly wiho eil diffsio fe seods le, d he ovig dises e ee d v ee espeively i d y dieio. Fige is he opig esl o he -D egl wve y he ew pwid shee. I showed h he ew pwid shee hd lile Coped vle Fig.. Tes o he -D egl wve y he ew pwid shee. Colsios Neil diffsio geelly os i he oveiol pwid shee whe i is pplied o esolve dveio eqios. To ede he eil diffsio, highesolio is osed sed o he deeied oeffiie ehod. I he es of egl wve d Gss wve, he esls of he ew shee ehod e geed wih he e solio. The ew shee hs ee y h he oveiol pwid shee i opig he egl wve. kowledgee Refeees The wok is sppoed y he Niol Siee Fodio of Chi 59.. Holly, F. M. J.; Peiss,., e llio of spo i wo diesios. Jol of Hydli divisio. SCE., 977,pp Sege, J. L.; Wig, R. F., Fl spliig of ivisid gs dyis eqios wih ppliio o fiie-diffeee ehods. J. Copiol physis,, 98, pp-9.. Sh, C.W.; Oshe, S., Effiie ipleeio of esseilly oosilloy shok-pig shees. J. Copiol physis, 8,989, pp Oshe, S., Upwid diffeee shees fo hypeoli syses of osevio lws. Mheis of opio, 8,98, pp Yilev,.M.; Medvedev,.Y. ; Nsillyev, I.Sh.; Selivov,.S.; Gzizov, R.K.; Viis,.; wo-pee D-odel of he elsi sge of lie fiio weldig sig NSYS ehil fiie elee lysis poge. Jol of Egieeig Siee d Tehology Review, 5,, pp -9.. Wey Li, Shig Shi, Feif Wg, Zhih Zhg, Tie M, Jiglog Li, Neil silio of fiio weldig poesses sed o BQUS evioe. Jol of Egieeig Siee d Tehology Review, 5:-9 7. Viis,. Mheil odellig of he lie fiio weldig poess. Jol of Egieeig Siee d Tehology Review, 5,, pp5-.

5 T W d L.L W /Jol of Egieeig Siee d Tehology Review 9-8. Bkhi, F.Z.; Si-e, M., Neil silio of ied oveio i ilied hik d. Jol of Egieeig Siee d Tehology Review,,, pp Teg, W.; Hogw, Zhg. Dey, Zhog., Up-wid shee sed o he deeied oeffiie ehod. J Tsigh Uiv Si &Teh, 9, 9, pp5-57. i Chiese. Zoo, Xie.; Xiofeg, Zhg., Ipovee of Holly- Peiss shee. Hydo siee d egieeig.,, pp-8. i Chiese. Xiofeg, Zhg.; Hogw, Zhg., Effiie ipovee of Ck-Niolso shee. dve i we siee.,, pp-8. i Chiese. Xiofeg, Zhg.; J, Che., Ipovee of Lep-fog shee. Egieeig ol of Wh ivesiy, 85, 5, pp-. i Chiese