& Hydrofoil Cavitation Bubble Behavior and Noise

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1 The 3nd Inenaona Congess and Eoson on Nose Cono Engneeng Jeju Inenaona Convenon Cene Seogwo Koea Augus [N689] Pedon o Undewae Poee Nose Hydoo Cavaon Bue Behavo and Nose Fs Auho: Hanshn Seo Cene o Envonmena Nose and Vaon Reseah (CENVR Seou Naona Unvesy Seou Koea 5-7 hsseo7@snu.a.k Seond Auho: Sangwoo Pyo Reseah Insue o ane Sysems Engneeng Seou Naona Unvesy Seou Koea 5-7 Thd Auho: Sooga Lee Cene o Envonmena Nose and Vaon Reseah (CENVR Seou Naona Unvesy Seou Koea 5-7 ABSTRACT Sound geneaed y a oee s a n undewae deeon and s oen eaed o he suvvay o he vesse eseay o may uoses. ane oee nose mgh e assed no omsng wo na onsuens (non-avang and avang omonens. The man uose o hs eseah s o anayze hese nose soues om mane oee. The aoah o he nvesgaon s a oena ased ane mehod oued wh aous anaogy. The ow ed s anayzed wh oena ased ane mehod and hen he me deenden essue daa ae used as he nu o Fows-Wams Hawkngs omuaon o ed he a-ed aouss. To ed oee avaon nose he ade

2 suae avy onsdeed as a snge vaued usang voume o vao aahed o he ade suae. The me deenden avy voume daa ae used o nose edon. Fuhemoe we anayze hydoo avaon ue ehavo and nose usng Euean/Lagangan aoah. Though hs sudy we an anayze domnan nose soue o mane oee and ovde a ass o oe nose ono saeges. KEWORDS: Undewae Poee Nose Aous Anaogy Cavaon Nose INTRODUCTION Sound geneaed y a oee s a n undewae deeon and s oen eaed o he suvvay o vesses eseay o may uoses. ane oee nose an e assed no avang and non-avang nose. Cavaon o he mane oee s he mos evaen soue o undewae sound n he oean and s oen he domnan nose soue o a snge mane vehe. Howeve sumanes and oedoes ae usuay oeaed unde he dee sea enough o avod avaon[]. Theeoe oh avang and nonavang nose ae aso moan. The aoah o he nvesgaon o he non-avang nose s oena ased ane mehod oued wh he aous anaogy. O he vaous yes o avaon shee avaon on he suon suae and ue avaon odue he hghes nose eve []. So we deveoed omuaona mehod o he anayss o oee suae avaon nose. Ths mehod emoyed a oena o veoy ased omuaon. Cavy has een onsdeed as a snge usang voume aahed o he suae whh an e auaed y he oena ow mehod. Fo ade shee avaon nose edon he me deendan avy voume daa ae used. And hydoo ue avaon s anayzed usng Euean/Lagangan aoah. NUERICAL ETHODS Fow Sove (ane Poee The ow sove mehod s ased on Geen s hd deny o veoy oena φ. The euaon oena φ ( a any me and any on on he weed suae ( S WS ( o he avy suae ( S C ( may e eessed y usng Geen s hd deny []. φ ( P φq φ q ( ( nq ( R( ; q nq R( ; q φw ( nq ( R( ; q S ( S ( S ( WS C W -376-

3 To deemne he unque oena ow souon he ounday ondons have o e aed on he ow oundaes. Howeve sne he geomey o he avy suae s unknown as na ow oundaes he avy suae on he ade s aomaed o he ade suae and he avy suae n he wake s aomaed o he wake suae []. Kua ondon s used and he essue equay a he ang edge o he ade and du s aso enoed. Aous Anayss (ane Poee Fows Wams and Hawkngs omuaed he equaon o he manesaon o aous anaogy oosed y Lghh [3]. Thee ae vaous ways o evauae Fows Wams- Hawkngs equaon and he hee yes o nose soue em (monooe doe and quaduoe have een oosed. Faasa oosed a me-doman omuaon ha an ed nose om an aay shaed oje n moon whou he numea deenaon o he oseve me []. The memenaon o hs omuaon s que saghowad eause onuons om eah ane wh deen eaded mes ae added o om an aous wave. Bade suaes ae dvded no eangua anes adang nose as soues a deen eaded mes. The souon o he aous essue an e oaned n he oowng om y usng Geen s unon and oodnae ansomaons. e e n v ρ The sus e denoes ha he negaon s evauaed a he eaded me. The seed and auay o he numea auaon s moved y emnang he numea deenaon. The na esu s as oow. L T whee 3 ˆ e n e n T v v ρ ρ and 3 ˆ ˆ e e e L Hee T and L esevey denoe he aous essue due o hkness and oadng oesondng o he monooe and he doe ems. Nea-ed and a-ed ems ae seen ey as and ems n he negas esevey

4 Hydoo Cavaon Bue Behavo and Nose Hydoo avaon s numeay nvesgaed usng Euean/Lagangan aoah. Sne avaon ues ae vey sma mass momenum and enegy o ues have e nuene on ow ed. Fo Euean/Lagangan anayss ow ed s omued usng Euean Reynods-Aveaged Nave-Sokes sove. The sma ues ae aed hough he ow ed ased on he Newon s seond aw wh modes o vaous oes ang on he ue. ρ V du d V ( ρ ρ g V ρac D ρµ du du 6A τ dτ dτ d ( U U U U ρv Aso he gowh-oase o ue s modeed y Rayegh-Pesse equaon. 3k 3 R ( U U RR R γ µ v g R ρ R R R Theeoe ow ed as ae-ow s one-way oued o ue dynams. The aous essue n he a away om he ue s gven y as oows. ρ V '( Sne he ue voume s V 3 V /3R and R(R' RR Fa away om he ue he aous essue s as oows [5]. whee R '( ρ (R' RR ( ' s he aous essue and s he sound seed. du d du d RESULTS AND DISCUSSION The oee mode s shown n Fgue. Fow eds ae omued usng hs oee mode n non-unom ow. ane oee ow anayss esus ae shown n Fgue whh shows ade suae essue dsuon and onveged shee avy anom. The avy voumes om he esen mehod ae good ageemen wh ohe numea esus []. These esus ae used o nose edon. Fgue 3-(a shows non-avang nose sound essue eve and devy aen. The devy o he hkness nose s an 8-shaed wh

5 mamum oung on he oee oaon ane. The unseady oadng nose s known o e doe n naue wh a song adaon endeny owads on he hu as. These esus ae deed we n Fgue 3-(a. And as shown n hese esus unde non-avang ondon unseady oadng nose s domnan. Fgue 3-( shows ade shee avaon nose sound essue eve and devy aen. Geneay avaon nose adaes sound as a monooe u ou esus show somewha doe haaess. Ths esu shows ha oang voume o vao aahed o ade ees nose devy. Fuhemoe hydoo ue avaon s eded usng Euean/Lagangan aoah. Fgue shows eah ue ajeoy and gowh-oase. CONCLUSIONS The non-avang and avang nose geneaed y undewae oee and hydoo ue avaon have anayzed numeay n hs sudy. Poena ased ane mehod oued wh me-doman aous anaogy s used o ed he nose geneaed y mane oee n non-unom now ondon. Fo he nose edon Fows Wams- Hawkngs equaon s aed as Faasa oosed. Unde non-avang ondon he nose devy aen s a de esu o doe domnang ovea nose eve. In addon o shee avaon and hydoo ue avaon ehavo and aouss ae aso anayzed. Though hs sudy we an anayze domnan nose soue o mane oee. REFERENCES. Donad Ross ehans o Undewae Nose (Pegam on Pess 976. N.E. Fne Nonnea Anayss o Cavang Poees n Nonunom Inow IT De. o Oean Engneeng Reo No J. Lghh On Sound Geneaed Aeodynamay. Genea Theoy Po. Roya Soey (95. F.Faassa and.k.yes Eensons o Khho s Fomua o Radaon om ovng Suaes J. Sound and Vaon Vo. 3 ( Chsohe E. Bennen Cavaon and Bue Dynams (Ood Unvesy Pess Hanshn Seo Byungsok Jung Jung-Chun Suh and Sooga Lee Pedon o Non-avang undewae Poee Nose Jouna o Sound and Vaon Vo.57 (

6 DTB 9 DTB 9 Fgue : Poee odes and ondons Fgue : Poee Bade Suae Pessue Dsuon and Bade Shee Cavy Panom Thk: Loadng: an: (a ( Fgue 3. : Non-Cavang and Shee Cavaon Nose SPL and Devy 3D Conou. (a Non-avang Nose : Thkness Loadng ( Cavang Nose : Shee Cavaon....3 Radus Tme Fgue. : Hydoo Cavaon Bue Tajeoy and Behavo

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