& Hydrofoil Cavitation Bubble Behavior and Noise
|
|
- Clifton Taylor
- 5 years ago
- Views:
Transcription
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
Silence is the only homogeneous sound field in unbounded space
Cha.5 Soues of Sound Slene s he onl homogeneous sound feld n unbounded sae Sound feld wh no boundaes and no nomng feld 3- d wave equaon whh sasfes he adaon ondon s f / Wh he lose nseon a he on of = he
More informationThe Two Dimensional Numerical Modeling Of Acoustic Wave Propagation in Shallow Water
The Two Densonal Nueal Modelng Of Aous Wave Poagaon n Shallow Wae Ahad Zaaa John Penose Fan Thoas and Xung Wang Cene fo Mane Sene and Tehnology Cun Unvesy of Tehnology. CSIRO Peoleu. Absa Ths ae desbes
More informationLIPSCHITZ ESTIMATES FOR MULTILINEAR COMMUTATOR OF MARCINKIEWICZ OPERATOR
Reseh d ouiios i heis d hei Siees Vo. Issue Pges -46 ISSN 9-699 Puished Oie o Deee 7 Joi Adei Pess h://oideiess.e IPSHITZ ESTIATES FOR UTIINEAR OUTATOR OF ARINKIEWIZ OPERATOR DAZHAO HEN Dee o Siee d Ioio
More informationNumerical Study of Large-area Anti-Resonant Reflecting Optical Waveguide (ARROW) Vertical-Cavity Semiconductor Optical Amplifiers (VCSOAs)
USOD 005 uecal Sudy of Lage-aea An-Reonan Reflecng Opcal Wavegude (ARROW Vecal-Cavy Seconduco Opcal Aplfe (VCSOA anhu Chen Su Fung Yu School of Eleccal and Eleconc Engneeng Conen Inoducon Vecal Cavy Seconduco
More informationcalculating electromagnetic
Theoeal mehods fo alulang eleomagne felds fom lghnng dshage ajeev Thoapplll oyal Insue of Tehnology KTH Sweden ajeev.thoapplll@ee.kh.se Oulne Despon of he poblem Thee dffeen mehods fo feld alulaons - Dpole
More informations = rθ Chapter 10: Rotation 10.1: What is physics?
Chape : oaon Angula poson, velocy, acceleaon Consan angula acceleaon Angula and lnea quanes oaonal knec enegy oaonal nea Toque Newon s nd law o oaon Wok and oaonal knec enegy.: Wha s physcs? In pevous
More informationL4:4. motion from the accelerometer. to recover the simple flutter. Later, we will work out how. readings L4:3
elave moon L4:1 To appl Newon's laws we need measuemens made fom a 'fed,' neal efeence fame (unacceleaed, non-oang) n man applcaons, measuemens ae made moe smpl fom movng efeence fames We hen need a wa
More informationTechnical Appendix for Inventory Management for an Assembly System with Product or Component Returns, DeCroix and Zipkin, Management Science 2005.
Techc Appedx fo Iveoy geme fo Assemy Sysem wh Poduc o Compoe eus ecox d Zp geme Scece 2005 Lemm µ µ s c Poof If J d µ > µ he ˆ 0 µ µ µ µ µ µ µ µ Sm gumes essh he esu f µ ˆ > µ > µ > µ o K ˆ If J he so
More information_ J.. C C A 551NED. - n R ' ' t i :. t ; . b c c : : I I .., I AS IEC. r '2 5? 9
C C A 55NED n R 5 0 9 b c c \ { s AS EC 2 5? 9 Con 0 \ 0265 o + s ^! 4 y!! {! w Y n < R > s s = ~ C c [ + * c n j R c C / e A / = + j ) d /! Y 6 ] s v * ^ / ) v } > { ± n S = S w c s y c C { ~! > R = n
More informationCOMPUTER SCIENCE 349A SAMPLE EXAM QUESTIONS WITH SOLUTIONS PARTS 1, 2
COMPUTE SCIENCE 49A SAMPLE EXAM QUESTIONS WITH SOLUTIONS PATS, PAT.. a Dene he erm ll-ondoned problem. b Gve an eample o a polynomal ha has ll-ondoned zeros.. Consder evaluaon o anh, where e e anh. e e
More information5-1. We apply Newton s second law (specifically, Eq. 5-2). F = ma = ma sin 20.0 = 1.0 kg 2.00 m/s sin 20.0 = 0.684N. ( ) ( )
5-1. We apply Newon s second law (specfcally, Eq. 5-). (a) We fnd he componen of he foce s ( ) ( ) F = ma = ma cos 0.0 = 1.00kg.00m/s cos 0.0 = 1.88N. (b) The y componen of he foce s ( ) ( ) F = ma = ma
More informationChapter 3: Vectors and Two-Dimensional Motion
Chape 3: Vecos and Two-Dmensonal Moon Vecos: magnude and decon Negae o a eco: eese s decon Mulplng o ddng a eco b a scala Vecos n he same decon (eaed lke numbes) Geneal Veco Addon: Tangle mehod o addon
More informationISSN 2075-4272. : 2 (27) 2014 004. (...) E-a: fee75@a.u... :.... [1-4]: ()... [5-6] [7].. [1389].. : TD-PSOLA ) FD-PSOLA ) LP-PSOLA ).. [10]. 127 ISSN 2075-4272. : 2 (27) 2014. : 1.. 2.. 3.. 4.. 5.. 6..
More informationI-POLYA PROCESS AND APPLICATIONS Leda D. Minkova
The XIII Inenaonal Confeence Appled Sochasc Models and Daa Analyss (ASMDA-009) Jne 30-Jly 3, 009, Vlns, LITHUANIA ISBN 978-9955-8-463-5 L Sakalaskas, C Skadas and E K Zavadskas (Eds): ASMDA-009 Seleced
More information2 shear strain / L for small angle
Sac quaons F F M al Sess omal sess foce coss-seconal aea eage Shea Sess shea sess shea foce coss-seconal aea llowable Sess Faco of Safe F. S San falue Shea San falue san change n lengh ognal lengh Hooke
More informationLecture 17: Kinetics of Phase Growth in a Two-component System:
Lecue 17: Kineics of Phase Gowh in a Two-componen Sysem: descipion of diffusion flux acoss he α/ ineface Today s opics Majo asks of oday s Lecue: how o deive he diffusion flux of aoms. Once an incipien
More informationX-Ray Notes, Part III
oll 6 X-y oe 3: Pe X-Ry oe, P III oe Deeo Coe oupu o x-y ye h look lke h: We efe ue of que lhly ffee efo h ue y ovk: Co: C ΔS S Sl o oe Ro: SR S Co o oe Ro: CR ΔS C SR Pevouly, we ee he SR fo ye hv pxel
More informationCaputo Equations in the frame of fractional operators with Mittag-Leffler kernels
nvenon Jounl o Reseh Tehnoloy n nneen & Mnemen JRTM SSN: 455-689 wwwjemom Volume ssue 0 ǁ Ooe 08 ǁ PP 9-45 Cuo uons n he me o onl oeos wh M-ele enels on Qn Chenmn Hou* Ynn Unvesy Jln Ynj 00 ASTRACT: n
More informationChapter 6 Plane Motion of Rigid Bodies
Chpe 6 Pne oon of Rd ode 6. Equon of oon fo Rd bod. 6., 6., 6.3 Conde d bod ced upon b ee een foce,, 3,. We cn ume h he bod mde of e numbe n of pce of m Δm (,,, n). Conden f he moon of he m cene of he
More informationAn Optimization Model for Empty Container Reposition under Uncertainty
n Omzon Mode o Emy onne Reoson nde neny eodo be n Demen o Mnemen nd enooy QM nd ene de Reee s es nsos Moné nd Mssmo D Fneso Demen o Lnd Enneen nesy o Iy o Zdds Demen o Lnd Enneen nesy o Iy Inodon. onne
More informationANSWERS TO ODD NUMBERED EXERCISES IN CHAPTER 2
Joh Rley Novembe ANSWERS O ODD NUMBERED EXERCISES IN CHAPER Seo Eese -: asvy (a) Se y ad y z follows fom asvy ha z Ehe z o z We suppose he lae ad seek a oado he z Se y follows by asvy ha z y Bu hs oads
More informationConsider a Binary antipodal system which produces data of δ (t)
Modulaion Polem PSK: (inay Phae-hi keying) Conide a inay anipodal yem whih podue daa o δ ( o + δ ( o inay and epeively. Thi daa i paed o pule haping ile and he oupu o he pule haping ile i muliplied y o(
More informationMCTDH Approach to Strong Field Dynamics
MCTDH ppoach o Song Feld Dynamcs Suen Sukasyan Thomas Babec and Msha Ivanov Unvesy o Oawa Canada Impeal College ondon UK KITP Sana Babaa. May 8 009 Movaon Song eld dynamcs Role o elecon coelaon Tunnel
More informationP a g e 3 6 of R e p o r t P B 4 / 0 9
P a g e 3 6 of R e p o r t P B 4 / 0 9 p r o t e c t h um a n h e a l t h a n d p r o p e r t y fr om t h e d a n g e rs i n h e r e n t i n m i n i n g o p e r a t i o n s s u c h a s a q u a r r y. J
More informationOn Fractional Operational Calculus pertaining to the product of H- functions
nenonl eh ounl of Enneen n ehnolo RE e-ssn: 2395-56 Volume: 2 ue: 3 une-25 wwwene -SSN: 2395-72 On Fonl Oeonl Clulu enn o he ou of - funon D VBL Chu, C A 2 Demen of hem, Unve of Rhn, u-3255, n E-ml : vl@hooom
More informationThe sound field of moving sources
Nose Engneeng / Aoss -- ong Soes The son el o mong soes ong pon soes The pesse el geneae by pon soe o geneal me an The pess T poson I he soe s onenae a he sngle mong pon, soe may I he soe s I be wen as
More informationBackcalculation Analysis of Pavement-layer Moduli Using Pattern Search Algorithms
Bakallaon Analyss of Pavemen-laye Modl Usng Paen Seah Algohms Poje Repo fo ENCE 74 Feqan Lo May 7 005 Bakallaon Analyss of Pavemen-laye Modl Usng Paen Seah Algohms. Inodon. Ovevew of he Poje 3. Objeve
More information4/12/2018. PHY 712 Electrodynamics 9-9:50 AM MWF Olin 105. Plan for Lecture 34: Review radiating systems
PHY 7 Eodynams 9-9:5 M MWF On 5 Pan o u : Rvw adang sysms Souon o Maxw s quaons wh sous Tm pod sous Examps //8 PHY 7 Spng 8 -- u //8 PHY 7 Spng 8 -- u Gna vw -- SI uns mosop o vauum om ( P M ): Couombs
More information4/3/2017. PHY 712 Electrodynamics 9-9:50 AM MWF Olin 103
PHY 7 Eleodnais 9-9:50 AM MWF Olin 0 Plan fo Leue 0: Coninue eading Chap Snhoon adiaion adiaion fo eleon snhoon deies adiaion fo asonoial objes in iula obis 0/05/07 PHY 7 Sping 07 -- Leue 0 0/05/07 PHY
More informationT h e C S E T I P r o j e c t
T h e P r o j e c t T H E P R O J E C T T A B L E O F C O N T E N T S A r t i c l e P a g e C o m p r e h e n s i v e A s s es s m e n t o f t h e U F O / E T I P h e n o m e n o n M a y 1 9 9 1 1 E T
More informationOrthotropic Materials
Kapiel 2 Ohoopic Maeials 2. Elasic Sain maix Elasic sains ae elaed o sesses by Hooke's law, as saed below. The sesssain elaionship is in each maeial poin fomulaed in he local caesian coodinae sysem. ε
More informationON THE EXTENSION OF WEAK ARMENDARIZ RINGS RELATIVE TO A MONOID
wwweo/voue/vo9iue/ijas_9 9f ON THE EXTENSION OF WEAK AENDAIZ INGS ELATIVE TO A ONOID Eye A & Ayou Eoy Dee of e Nowe No Uvey Lzou 77 C Dee of e Uvey of Kou Ou Su E-: eye76@o; you975@yooo ABSTACT Fo oo we
More informationA New Interference Approach for Ballistic Impact into Stacked Flexible Composite Body Armor
5h AIAA/ASME/ASCE/AHS/ASC Suues, Suual Dynams, and Maeals Confeene17h 4-7 May 9, Palm Sngs, Calfona AIAA 9-669 A New Inefeene Aoah fo Balls Ima no Saked Flexble Comose Body Amo S. Legh Phoenx 1 and
More informationModel of the Feeding Process of Anisotropic Warp Knitted Fabrics
Zgnew Mo³ajczy Technca Unvesy of ódÿ Insue of Knng Technoogy and Sucue of Kned oducs u. eomsego 6 90-54 ódÿ oand Mode of he Feedng ocess of Ansooc Wa Kned Facs Asac The mode of he feedng ocess of ansooc
More informationTHIS PAGE DECLASSIFIED IAW E
THS PAGE DECLASSFED AW E0 2958 BL K THS PAGE DECLASSFED AW E0 2958 THS PAGE DECLASSFED AW E0 2958 B L K THS PAGE DECLASSFED AW E0 2958 THS PAGE DECLASSFED AW EO 2958 THS PAGE DECLASSFED AW EO 2958 THS
More informationMass-Spring Systems Surface Reconstruction
Mass-Spng Syses Physally-Based Modelng: Mass-Spng Syses M. Ale O. Vasles Mass-Spng Syses Mass-Spng Syses Snake pleenaon: Snake pleenaon: Iage Poessng / Sae Reonson: Iage poessng/ Sae Reonson: Mass-Spng
More informationECON 8105 FALL 2017 ANSWERS TO MIDTERM EXAMINATION
MACROECONOMIC THEORY T. J. KEHOE ECON 85 FALL 7 ANSWERS TO MIDTERM EXAMINATION. (a) Wh an Arrow-Debreu markes sruure fuures markes for goods are open n perod. Consumers rade fuures onras among hemselves.
More informationOutline. GW approximation. Electrons in solids. The Green Function. Total energy---well solved Single particle excitation---under developing
Peenaon fo Theoecal Condened Mae Phyc n TU Beln Geen-Funcon and GW appoxmaon Xnzheng L Theoy Depamen FHI May.8h 2005 Elecon n old Oulne Toal enegy---well olved Sngle pacle excaon---unde developng The Geen
More informationTwo-Pion Exchange Currents in Photodisintegration of the Deuteron
Two-Pion Exchange Cuens in Phoodisinegaion of he Deueon Dagaa Rozędzik and Jacek Goak Jagieonian Univesiy Kaków MENU00 3 May 00 Wiiasbug Conen Chia Effecive Fied Theoy ChEFT Eecoagneic cuen oeaos wihin
More informationCourse Outline. 1. MATLAB tutorial 2. Motion of systems that can be idealized as particles
Couse Oulne. MATLAB uoal. Moon of syses ha can be dealzed as pacles Descpon of oon, coodnae syses; Newon s laws; Calculang foces equed o nduce pescbed oon; Deng and solng equaons of oon 3. Conseaon laws
More informationSome Analytic Results for the Study of Broadband Noise Radiation from Wings, Propellers and Jets in Uniform Motion *
Some Analy Resuls fo he Suy of Boaban Nose Raaon fom Wngs Poelles an Jes n Unfom oon *. aassa an J. Case NASA Langley Reseah Cene Hamon gna Absa Alan Powell has mae sgnfan onbuons o he unesanng of many
More informationPendulum Dynamics. = Ft tangential direction (2) radial direction (1)
Pendulum Dynams Consder a smple pendulum wh a massless arm of lengh L and a pon mass, m, a he end of he arm. Assumng ha he fron n he sysem s proporonal o he negave of he angenal veloy, Newon s seond law
More informationPhysics 201 Lecture 15
Phscs 0 Lecue 5 l Goals Lecue 5 v Elo consevaon of oenu n D & D v Inouce oenu an Iulse Coens on oenu Consevaon l oe geneal han consevaon of echancal eneg l oenu Consevaon occus n sses wh no ne eenal foces
More informationComputer Propagation Analysis Tools
Compue Popagaion Analysis Tools. Compue Popagaion Analysis Tools Inoducion By now you ae pobably geing he idea ha pedicing eceived signal sengh is a eally impoan as in he design of a wieless communicaion
More informationc- : r - C ' ',. A a \ V
HS PAGE DECLASSFED AW EO 2958 c C \ V A A a HS PAGE DECLASSFED AW EO 2958 HS PAGE DECLASSFED AW EO 2958 = N! [! D!! * J!! [ c 9 c 6 j C v C! ( «! Y y Y ^ L! J ( ) J! J ~ n + ~ L a Y C + J " J 7 = [ " S!
More informationMATHEMATICAL MODEL OF THE DUMMY NECK INCLUDED IN A FRONTAL IMPACT TESTING SYSTEM
he h Inenaonal onfeene Advaned opose Maeals Enneen OMA 8- Oobe Basov Roana MAHEMAIAL MODEL O HE DUMMY NEK INLUDED IN A RONAL IMPA ESIN SYSEM unel Sefana Popa Daos-Lauenu apan Vasle Unves of aova aova ROMANIA
More informationLecture 18: Kinetics of Phase Growth in a Two-component System: general kinetics analysis based on the dilute-solution approximation
Lecue 8: Kineics of Phase Gowh in a Two-componen Sysem: geneal kineics analysis based on he dilue-soluion appoximaion Today s opics: In he las Lecues, we leaned hee diffeen ways o descibe he diffusion
More informationJackson 4.7 Homework Problem Solution Dr. Christopher S. Baird University of Massachusetts Lowell
Jackson 4.7 Homewok obem Soution D. Chistophe S. Baid Univesity of Massachusetts Lowe ROBLEM: A ocaized distibution of chage has a chage density ρ()= 6 e sin θ (a) Make a mutipoe expansion of the potentia
More informationNanoparticles. Educts. Nucleus formation. Nucleus. Growth. Primary particle. Agglomeration Deagglomeration. Agglomerate
ucs Nucleus Nucleus omaon cal supesauaon Mng o eucs, empeaue, ec. Pmay pacle Gowh Inegaon o uson-lme pacle gowh Nanopacles Agglomeaon eagglomeaon Agglomeae Sablsaon o he nanopacles agans agglomeaon! anspo
More informationOH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9
OH BOY! O h Boy!, was or igin a lly cr eat ed in F r en ch an d was a m a jor s u cc ess on t h e Fr en ch st a ge f or young au di enc es. It h a s b een s een by ap pr ox i ma t ely 175,000 sp ect at
More information4.1 Schrödinger Equation in Spherical Coordinates
Phs 34 Quu Mehs D 9 9 Mo./ Wed./ Thus /3 F./4 Mo., /7 Tues. / Wed., /9 F., /3 4.. -. Shodge Sphe: Sepo & gu (Q9.) 4..-.3 Shodge Sphe: gu & d(q9.) Copuo: Sphe Shodge s 4. Hdoge o (Q9.) 4.3 gu Moeu 4.4.-.
More informationFundamental Vehicle Loads & Their Estimation
Fundaenal Vehicle Loads & Thei Esiaion The silified loads can only be alied in he eliinay design sage when he absence of es o siulaion daa They should always be qualified and udaed as oe infoaion becoes
More informationThe Non-Truncated Bulk Arrival Queue M x /M/1 with Reneging, Balking, State-Dependent and an Additional Server for Longer Queues
Alied Maheaical Sciece Vol. 8 o. 5 747-75 The No-Tucaed Bul Aival Queue M x /M/ wih Reei Bali Sae-Deede ad a Addiioal Seve fo Loe Queue A. A. EL Shebiy aculy of Sciece Meofia Uiveiy Ey elhebiy@yahoo.co
More informationField due to a collection of N discrete point charges: r is in the direction from
Physcs 46 Fomula Shee Exam Coulomb s Law qq Felec = k ˆ (Fo example, f F s he elecc foce ha q exes on q, hen ˆ s a un veco n he decon fom q o q.) Elecc Feld elaed o he elecc foce by: Felec = qe (elecc
More informationJ i-1 i. J i i+1. Numerical integration of the diffusion equation (I) Finite difference method. Spatial Discretization. Internal nodes.
umercal negraon of he dffuson equaon (I) Fne dfference mehod. Spaal screaon. Inernal nodes. R L V For hermal conducon le s dscree he spaal doman no small fne spans, =,,: Balance of parcles for an nernal
More information! -., THIS PAGE DECLASSIFIED IAW EQ t Fr ra _ ce, _., I B T 1CC33ti3HI QI L '14 D? 0. l d! .; ' D. o.. r l y. - - PR Pi B nt 8, HZ5 0 QL
H PAGE DECAFED AW E0 2958 UAF HORCA UD & D m \ Z c PREMNAR D FGHER BOMBER ARC o v N C o m p R C DECEMBER 956 PREPARED B HE UAF HORCA DVO N HRO UGH HE COOPERAON O F HE HORCA DVON HEADQUARER UAREUR DEPARMEN
More informationControl and Path Planning of a Walk-Assist Robot using Differential Flatness
he 00 EEE/RSJ nenaona Coneene on negen Robos and Sses Oobe 8-, 00, ape, awan Cono and Pah Pannng o a Wak-Asss Robo usng Deena Faness Chun-Hsu Ko and Sun K. Agawa Absa Wh he gowh o ede popuaon n ou soe,
More informationModern Energy Functional for Nuclei and Nuclear Matter. By: Alberto Hinojosa, Texas A&M University REU Cyclotron 2008 Mentor: Dr.
Moden Enegy Funconal fo Nucle and Nuclea Mae By: lbeo noosa Teas &M Unvesy REU Cycloon 008 Meno: D. Shalom Shlomo Oulne. Inoducon.. The many-body poblem and he aee-fock mehod. 3. Skyme neacon. 4. aee-fock
More informationNon-Ideal Gas Behavior P.V.T Relationships for Liquid and Solid:
hemodynamis Non-Ideal Gas Behavio.. Relationships fo Liquid and Solid: An equation of state may be solved fo any one of the thee quantities, o as a funtion of the othe two. If is onsideed a funtion of
More informationTHIS PAGE DECLASSIFIED IAW EO IRIS u blic Record. Key I fo mation. Ma n: AIR MATERIEL COMM ND. Adm ni trative Mar ings.
T H S PA G E D E CLA SSFED AW E O 2958 RS u blc Recod Key fo maon Ma n AR MATEREL COMM ND D cumen Type Call N u b e 03 V 7 Rcvd Rel 98 / 0 ndexe D 38 Eneed Dae RS l umbe 0 0 4 2 3 5 6 C D QC d Dac A cesson
More informationToday - Lecture 13. Today s lecture continue with rotations, torque, Note that chapters 11, 12, 13 all involve rotations
Today - Lecue 13 Today s lecue coninue wih oaions, oque, Noe ha chapes 11, 1, 13 all inole oaions slide 1 eiew Roaions Chapes 11 & 1 Viewed fom aboe (+z) Roaional, o angula elociy, gies angenial elociy
More informationRAKE Receiver with Adaptive Interference Cancellers for a DS-CDMA System in Multipath Fading Channels
AKE v wh Apv f Cs fo DS-CDMA Ss Muph Fg Chs JooHu Y Su M EEE JHog M EEE Shoo of E Egg Sou o Uvs Sh-og Gw-gu Sou 5-74 Ko E-: ohu@su As hs pp pv AKE v wh vs og s popos fo DS-CDMA ss uph fg hs h popos pv
More informationWORK POWER AND ENERGY Consevaive foce a) A foce is said o be consevaive if he wok done by i is independen of pah followed by he body b) Wok done by a consevaive foce fo a closed pah is zeo c) Wok done
More informationPseudosteady-State Flow Relations for a Radial System from Department of Petroleum Engineering Course Notes (1997)
Pseudoseady-Sae Flow Relaions fo a Radial Sysem fom Deamen of Peoleum Engineeing Couse Noes (1997) (Deivaion of he Pseudoseady-Sae Flow Relaions fo a Radial Sysem) (Deivaion of he Pseudoseady-Sae Flow
More informationMATHEMATICAL FOUNDATIONS FOR APPROXIMATING PARTICLE BEHAVIOUR AT RADIUS OF THE PLANCK LENGTH
Fundamenal Jounal of Mahemaical Phsics Vol 3 Issue 013 Pages 55-6 Published online a hp://wwwfdincom/ MATHEMATICAL FOUNDATIONS FOR APPROXIMATING PARTICLE BEHAVIOUR AT RADIUS OF THE PLANCK LENGTH Univesias
More informationCptS 570 Machine Learning School of EECS Washington State University. CptS Machine Learning 1
ps 57 Machne Leann School of EES Washnon Sae Unves ps 57 - Machne Leann Assume nsances of classes ae lneal sepaable Esmae paamees of lnea dscmnan If ( - -) > hen + Else - ps 57 - Machne Leann lassfcaon
More informationSeveral Intensive Steel Quenching Models for Rectangular and Spherical Samples
Recen Advances n Fud Mecancs and Hea & Mass ansfe Sevea Inensve See Quencng Modes fo Recangua and Speca Sampes SANDA BLOMKALNA MARGARIA BUIKE ANDRIS BUIKIS Unvesy of Lava Facuy of Pyscs and Maemacs Insue
More informationA L A BA M A L A W R E V IE W
A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N
More informationAddition & Subtraction of Polynomials
Addiion & Sucion of Polynomil Addiion of Polynomil: Adding wo o moe olynomil i imly me of dding like em. The following ocedue hould e ued o dd olynomil 1. Remove enhee if hee e enhee. Add imil em. Wie
More informationPhysics 232 Exam II Mar. 28, 2005
Phi 3 M. 8, 5 So. Se # Ne. A piee o gl, ide o eio.5, h hi oig o oil o i. The oil h ide o eio.4.d hike o. Fo wh welegh, i he iile egio, do ou ge o eleio? The ol phe dieee i gie δ Tol δ PhDieee δ i,il δ
More informationElectromagnetic Theory 1
/ lectomagnetic Theoy uestion : lectostatic Potential negy A sphee of adius caies a positive chage density ρ constant Obviously the spheical coodinates system is appopiate hee Take - C m - and cm τ a)
More information[ ] 2. [ ]3 + (Δx i + Δx i 1 ) / 2. Δx i-1 Δx i Δx i+1. TPG4160 Reservoir Simulation 2018 Lecture note 3. page 1 of 5
TPG460 Reservor Smulaon 08 page of 5 DISCRETIZATIO OF THE FOW EQUATIOS As we already have seen, fne dfference appromaons of he paral dervaves appearng n he flow equaons may be obaned from Taylor seres
More informationA PRESSURE CORRECTION METHOD FOR CALCULATING THE FLOWS IN LOW SPEED AXIAL FANS AND COMPRESSORS
eond Inernaona onerene on FD n he Mneras and Proess Indusres IRO Mebourne Ausraa 6-8 Deember 999 A PREURE ORRETION METHOD FOR ALULATIN THE FLO IN LO PEED AXIAL FAN AND OMPREOR N.X. HEN Y.. XU.. HUAN Insue
More informationCHAPTER 10: LINEAR DISCRIMINATION
HAPER : LINEAR DISRIMINAION Dscmnan-based lassfcaon 3 In classfcaon h K classes ( k ) We defned dsmnan funcon g () = K hen gven an es eample e chose (pedced) s class label as f g () as he mamum among g
More informationHyperbolic Heat Equation as Mathematical Model for Steel Quenching of L-shape and T-shape Samples, Direct and Inverse Problems
SEAS RANSACIONS o HEA MASS RANSER Bos M Be As Bs Hpeo He Eo s Me Moe o See Qe o L-spe -spe Spes De Iese Poes ABIA BOBINSKA o Pss Mes es o L Ze See 8 L R LAIA e@o MARARIA BIKE ANDRIS BIKIS Ise o Mes Cope
More informationDeadlock Avoidance for Free Choice Multi- Reentrant Flow lines: Critical Siphons & Critical Subsystems 1
Deadlo Avodane fo Fee Choe Mul- Reenan Flow lnes: Cal Shons & Cal Subsysems P. Ballal, F. Lews, Fellow IEEE, J. Meles, Membe IEEE, J., K. Seenah Auomaon & Robos Reseah Insue, Unvesy of exas a Alngon, 73
More informationDiscretizing the 3-D Schrödinger equation for a Central Potential
Discetizing the 3-D Schödinge equation fo a Centa Potentia By now, you ae faiia with the Discete Schodinge Equation fo one Catesian diension. We wi now conside odifying it to hande poa diensions fo a centa
More information-HYBRID LAPLACE TRANSFORM AND APPLICATIONS TO MULTIDIMENSIONAL HYBRID SYSTEMS. PART II: DETERMINING THE ORIGINAL
UPB Sc B See A Vo 72 I 3 2 ISSN 223-727 MUTIPE -HYBRID APACE TRANSORM AND APPICATIONS TO MUTIDIMENSIONA HYBRID SYSTEMS PART II: DETERMININ THE ORIINA Ve PREPEIŢĂ Te VASIACHE 2 Ace co copeeă oă - pce he
More informationCHAPTER 5: Circular Motion; Gravitation
CHAPER 5: Cicula Motion; Gavitation Solution Guide to WebAssign Pobles 5.1 [1] (a) Find the centipetal acceleation fo Eq. 5-1.. a R v ( 1.5 s) 1.10 1.4 s (b) he net hoizontal foce is causing the centipetal
More information2-d Motion: Constant Acceleration
-d Moion: Consan Acceleaion Kinemaic Equaions o Moion (eco Fom Acceleaion eco (consan eloci eco (uncion o Posiion eco (uncion o The eloci eco and posiion eco ae a uncion o he ime. eloci eco a ime. Posiion
More informationESS 265 Spring Quarter 2005 Kinetic Simulations
SS 65 Spng Quae 5 Knec Sulaon Lecue une 9 5 An aple of an lecoagnec Pacle Code A an eaple of a knec ulaon we wll ue a one denonal elecoagnec ulaon code called KMPO deeloped b Yohhau Oua and Hoh Mauoo.
More informationAPPLICATION OF A Z-TRANSFORMS METHOD FOR INVESTIGATION OF MARKOV G-NETWORKS
Joa of Aed Mahema ad Comaoa Meha 4 3( 6-73 APPLCATON OF A Z-TRANSFORMS METHOD FOR NVESTGATON OF MARKOV G-NETWORKS Mha Maay Vo Nameo e of Mahema Ceohowa Uey of Tehoogy Cęohowa Poad Fay of Mahema ad Come
More informationRotations.
oons j.lbb@phscs.o.c.uk To s summ Fmes of efeence Invnce une nsfomons oon of wve funcon: -funcons Eule s ngles Emple: e e - - Angul momenum s oon geneo Genec nslons n Noehe s heoem Fmes of efeence Conse
More informationTHEORETICAL AUTOCORRELATIONS. ) if often denoted by γ. Note that
THEORETICAL AUTOCORRELATIONS Cov( y, y ) E( y E( y))( y E( y)) ρ = = Var( y) E( y E( y)) =,, L ρ = and Cov( y, y ) s ofen denoed by whle Var( y ) f ofen denoed by γ. Noe ha γ = γ and ρ = ρ and because
More informationLecture Notes 4: Consumption 1
Leure Noes 4: Consumpon Zhwe Xu (xuzhwe@sju.edu.n) hs noe dsusses households onsumpon hoe. In he nex leure, we wll dsuss rm s nvesmen deson. I s safe o say ha any propagaon mehansm of maroeonom model s
More information( 1) β function for the Higgs quartic coupling λ in the standard model (SM) h h. h h. vertex correction ( h 1PI. Σ y. counter term Λ Λ.
funon for e Hs uar oun n e sanar moe (SM verex >< sef-ener ( PI Π ( - ouner erm ( m, ( Π m s fne Π s fne verex orreon ( PI Σ (,, ouner erm, ( reen funon ({ } Σ s fne Λ Λ Bn A n ( Caan-Smanz euaon n n (
More informationP a g e 5 1 of R e p o r t P B 4 / 0 9
P a g e 5 1 of R e p o r t P B 4 / 0 9 J A R T a l s o c o n c l u d e d t h a t a l t h o u g h t h e i n t e n t o f N e l s o n s r e h a b i l i t a t i o n p l a n i s t o e n h a n c e c o n n e
More informationCalculus 241, section 12.2 Limits/Continuity & 12.3 Derivatives/Integrals notes by Tim Pilachowski r r r =, with a domain of real ( )
Clculu 4, econ Lm/Connuy & Devve/Inel noe y Tm Plchow, wh domn o el Wh we hve o : veco-vlued uncon, ( ) ( ) ( ) j ( ) nume nd ne o veco The uncon, nd A w done wh eul uncon ( x) nd connuy e he componen
More informationPHYS 705: Classical Mechanics. Central Force Problems I
1 PHYS 705: Cassica Mechanics Centa Foce Pobems I Two-Body Centa Foce Pobem Histoica Backgound: Kepe s Laws on ceestia bodies (~1605) - Based his 3 aws on obsevationa data fom Tycho Bahe - Fomuate his
More informationTHIS PAGE DECLASSIFIED IAW E
THS PAGE DECLASSFED AW E0 2958 BL K THS PAGE DECLASSFED AW E0 2958 THS PAGE DECLASSFED AW E0 2958 B L K THS PAGE DECLASSFED AW E0 2958 THS PAGE DECLASSFED AW E0 2958 BL K THS PAGE DECLASSFED AW E0 2958
More informationName of the Student:
Engneeng Mahemacs 05 SUBJEC NAME : Pobably & Random Pocess SUBJEC CODE : MA645 MAERIAL NAME : Fomula Maeal MAERIAL CODE : JM08AM007 REGULAION : R03 UPDAED ON : Febuay 05 (Scan he above QR code fo he dec
More informationH STO RY OF TH E SA NT
O RY OF E N G L R R VER ritten for the entennial of th e Foundin g of t lair oun t y on ay 8 82 Y EEL N E JEN K RP O N! R ENJ F ] jun E 3 1 92! Ph in t ed b y h e t l a i r R ep u b l i c a n O 4 1922
More informationOnline Appendix for. Strategic safety stocks in supply chains with evolving forecasts
Onlne Appendx for Sraegc safey socs n supply chans wh evolvng forecass Tor Schoenmeyr Sephen C. Graves Opsolar, Inc. 332 Hunwood Avenue Hayward, CA 94544 A. P. Sloan School of Managemen Massachuses Insue
More informationClassical Electrodynamics
A Fst Look at Quantum Physcs Cassca Eectodynamcs Chapte 4 Mutpoes, Eectostatcs of Macoscopc Meda, Deectcs Cassca Eectodynamcs Pof. Y. F. Chen Contents A Fst Look at Quantum Physcs 4. Mutpoe Expanson 4.
More informationMonetary policy and models
Moneay polcy and odels Kes Næss and Kes Haae Moka Noges Bank Moneay Polcy Unvesy of Copenhagen, 8 May 8 Consue pces and oney supply Annual pecenage gowh. -yea ovng aveage Gowh n oney supply Inflaon - 9
More informationTableofContents. Introduction. President saddress. YourBenefits.3
Inoducon TabeoConens Congauaonsonhepuchaseoyounew EahLnked Geohema RenewabeEnegySysem,hemosecen,advancedandeabeheang andcoongsysem avaabeoday. Wehopeyouwakepdenowneshpohscung-edgegeohema sysem whchhanessesnnovaveechnoogy.theeahlnkedrenewabe
More informationDesign Guideline for Buried Hume Pipe Subject to Coupling Forces
Design Guideline fo Buied Hume Pipe Sujec o Coupling Foces Won Pyo Hong 1), *Seongwon Hong 2), and Thomas Kang 3) 1) Depamen of Civil, nvionmenal and Plan ngineeing, Chang-Ang Univesiy, Seoul 06974, Koea
More informationThe Finite Element Method for the Analysis of Non-Linear and Dynamic Systems
Swss Federal Insue of Page 1 The Fne Elemen Mehod for he Analyss of Non-Lnear and Dynamc Sysems Prof. Dr. Mchael Havbro Faber Dr. Nebojsa Mojslovc Swss Federal Insue of ETH Zurch, Swzerland Mehod of Fne
More informationPhysics 120 Spring 2007 Exam #1 April 20, Name
Phc 0 Spng 007 E # pl 0, 007 Ne P Mulple Choce / 0 Poble # / 0 Poble # / 0 Poble # / 0 ol / 00 In eepng wh he Unon College polc on cdec hone, ued h ou wll nehe ccep no pode unuhozed nce n he copleon o
More informationObjectives. We will also get to know about the wavefunction and its use in developing the concept of the structure of atoms.
Modue "Atomic physics and atomic stuctue" Lectue 7 Quantum Mechanica teatment of One-eecton atoms Page 1 Objectives In this ectue, we wi appy the Schodinge Equation to the simpe system Hydogen and compae
More information