ajanuary't I11 F or,'.

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3 f j. J THE UNVERSTY OF MCHGAN College of Engneeng Depamen of Naval Achecue and Mane Engneeng Shp Hydodynamcs Laboaoy Resuls of Sll Wae Ressance Tess of a /48 Scale Model of a 605'-0" Cago Shp Wh and Whou a Lage Bulbous Bow J. L. Moss Fo: J.J. Heny Co., nc. 2 Wes See New Yok 6, N.Y., Admnseed hough: Offce of Reseach Admnsaon Januay 966 Ann Abo Pojec 07265

4 Unde he auhozaon fom J.J. Heny Co., nc. sll wae essance ess of a cago shp model wee un o nvesgae he effecs of a lage bulbous bow. The wok was ognally begun n he spng of 965 bu was sopped a he sponso's eques o faclae aleaons n hull desgn ncludng changes n basc dmensons.. Alhough a model of he eale desgn was consuced, no ess wee un. The model desgnaon of he eale hull was U of M Model 058. n he fall of 965, lnes of he updaed desgn wee suppled and a new-model., desgnaed U of M 080, was bul o J..J. Heny dawngs and A. A lage bulbous bow modfcaon o he foebody was desgned by laboaoy pesonnel and was desgnaed U of M 080-B lnes of whch wee fowaded o he sponso on Decembe 3, 965. Conaned n hs epo ae he esuls of essance ess n sll wae of models 080 and 080-B. Geneally, he effec of a lage bulb s o cancel bow waves ceaed by he man hull by ceang an opposng sysem of waves. The sze of he suface waves' ceaed by he bulb s a funcon of bulb sze (volume o coss-seconal aea), deph of submegence and shp speed. The phase elaon beween he opposng ses of waves s lagely conolled by he longudnal poson of he bulb. Fo he cago shp case, s dffcul o acheve opmum cancellaon n all condons snce he shp may commonly opeae a a numbe of fowad dafs. Hence, he bulb s locaed neae o he suface n lgh o ballas condons han n fully loaded condons and he ampludes of he waves geneaed by he man hull ae no subjec o he same changes wh vayng daf as - -

5 ae hose ceaed by he bulb. Also, he changes n shp speed wh vayng load condons may advesely effec he wave cancellaon pocess. Theefoe, o oban hebes oveall esuls, akng no consdeaon dffeen load condons, he bulb desgn s necessaly a compomse. n he pesen case, he followng abl~e shows he speed dffeenal caused by he bulb desgn esed n a numbe of load condons. The values of speed ae aken a a consan pedced EHP of 2,000. H Vk Vk Vk f. whou bulb wh bulb (model 080) (model 080-Bl) Tha s, he bulb caused an aveage of abou /4 kno speed ncease ove a ange of condons.' s doubful ha sgnfcan vaaons fom hs value could be affeced by bulb desgn changes. Howeve, he dsbuon of he speed ncemens vesus daf could be aleed wh changes n bulb sze, ec. Fgue s he pedced full scale EHP fo all ess un. Exapolaon was made by means of he 947 A.T.T.C. ubulen flow fla plae fcon coeffcen lne wh a coelaon allowance of ACf = Tubulence was smulaed n he ess by a nch damee gh we locaed 5% LBP af of he F.P. Addonally, small suds wee locaed on he bulb n he case of model n keepng wh ubulence nducemen n fundamenal expemenaon on sphees. - 2-

6 Table gves he geomec paculas fo he es condons fo he shp and model 080 and Table 2 fo shp and model 080-B. -3 -

7 TABLE Fo: J.J. Heny Co., nc. Shp:, Model No: Lnea Scale Rao: Appendages: C5-S-75a, Amecan Mal Lne Ld., Cago Vessel U of M None LOA LBP Beam MODEL f f..708 f. SHP 605 f. 0 n. 582 f. 6 n. 82 f. 0 n. Full Load Condon LWL f. 592 f. 4 n. H (even keel) f. W.S sq. f l'bs.@72 0 F. F. W. 33 f. 0 n. 64,627 sq."'f. 29,820 L. T.@59 F.S. W.' nemedae Load Condon LWL.872 f. 569 f. 0 n. H (even keel) f. W.S sq. f. a l bs.@72 0 F. F. W. 26 f. 6 n. 56,00 sq. f. 23, 70 L. T.@59 F. S. W Lgh.Load Condon LWL.707 f. H (even keel) f. 56 f. n. 23 f. 0 n. W.S. A sq. f bs.@72 0 F. F.W. 5,702 sq. f. 9,660 L.T.@59 0 F. S. W.

8 TABLE 2 Fo: J.J. Heny Co., nc Shp: Model No: Lnea Scale Rao: Appendages.: C5-S-75a, Amecan Mal Lne Ld., Cago Vessel U of M 080-B 48 None - MODEL. SHP LOA f. 605 f. 2 n. LBP 2.35 f. 582 f. 6 n. Beam.708 f. 82 f. 0 n. Full Load' Condon LWL H (even keel) W.S f. 592 f. 2 n f. 33 f. 0 n sq. f. 66,94 sq. f bs.@70of. F. W. 30,000 L. T.@59 0 F. S. W. nemedae Load-Condon LWL H (even keel) W.S..887 f. 570 f. 7 n f f. 6 n sq. f. 57, 53 sq. f bs.@70 F.F.W. 23,350 L.T.@59 0 F.S.W. Lgh Load Condon LWL H (even keel) W.S..753 f f sq. f bs.@70 0 F.F.W. 564 f. 2 n. 23 f. 0 n. 53,53 sq. f. 9,840 L.T.@F.S.'W.

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Name 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