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# FLD DYN OCEN & ENVRN ENG OCEN 678

Texas A&M

GPA 3.55

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This 21 page Class Notes was uploaded by Collin Harvey on Wednesday October 21, 2015. The Class Notes belongs to OCEN 678 at Texas A&M University taught by Scott Socolofsky in Fall. Since its upload, it has received 35 views. For similar materials see /class/225819/ocen-678-texas-a-m-university in Engineering Ocean at Texas A&M University.

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Date Created: 10/21/15

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QB SWbWAC l ydi r om Isulng 9M 3 x 39 SEQ E eld 560uxax My X2 a 3849 3 Axa7 QAKMQ a Gemevaleimj Jm 3D Ks VK QWAA dd C 9 Temsors omal Tensor mam 39Scalm 66 Concen rm wa fveSSMV C Repmswjoeg by a poim m a made i CC 52 Ca V 3 Z Smlmfi cam eie imdepem wi o Coovd vwdc Sy tem x salaried 39Ve iov 391 648 VdDCIl hj Covce Re 7v sw fd by A MamHAch W ddvec m 39 2 A 4 L I A l W k 7 lt gt lm am or v LUV My Mg 1 Ein ciuiam Mb m m x CM 2 5 A a le39 Compom wn 0 u Agggwl om aoow ma c Sy rtm sded d 39TeMSor 83 sWesses 04 4 mm e mampwl 2 140 40 26W ovclcw swear 15 dV A v vec cov 2quot 5 u 391 v IT 391 s 3 y order 2M ami x 76V150rquot u dd We cam 1mm some simple mks 0 MAW Jrer Madam Wao mbhe 1 15 am imJex oocws was an 5L 4mm if Tegreswis all comyommjcs 0f J216 JVCIIsbf 56 50m 6 3quot equa w 3M 444 MW order Jam15w M 313 v 25 imgues 01 0v3ar fantear rap til 5 iwupUzes a vec rOT uL M9 quot5 39r ivabmg 2 avatar 4945 ad Tu quotCu T33 ma h x It F521 23 T5 T5 233 CL U m uvtdex R5 vegm ma 7m A 4mm Hr iwm 0k SMVMVMA HM WW a 3 Aimwams ExaMlesc 2 9quot 9V 9w 9x 9 4 E 2 viii quotCu tvme 3 tn T22 T33 3 96146 Some SFeC39Md ersorsz 5 z I 34 w 0 Werste EMMP Z uquot Llquot CMUH gga39 a ng us 2 it gua 39 M3 66 l i we 2323I 3amp2 4 0 1 m5 2 whims are actual COLVa 371913 32 M AWfYMA BA OP A HDMS a I Scalar vaHcha W ci mmSMEH mHmn 615 b xcov 2 cjvor Mg bv m uHuhug 4 vmvaplg CulvUM1V2gt Waf e u l W5 Mulpljcam Do c Proqlud it NI 4quot qui 1quot 3 a V6 7 o Cvoss Premium3r quot xv f 39g 42 39W em5 We 11 uz M3 6 com DMW T V V2 V3 0 UK IZKVM gi JaWV z Emu 3 739 opam ror 0m swim Vt 9i 93 A a A a L aamp aa h I 95 8X D3V W3 wce W 52 9amp3 913 Curlquot gt 91g VX Ub 0642 LL MaMx WWIcwm mam in Mmer WWmKL Jiwm xm Agra Ai g rz quot 5ch m gag In ow We V Ml OM C le l above SgWVMdHC amd AMH Symme r c Tatmacrst 7 g 0 6439 AMHSVWWW 9 B quotB fi 3 515 215W an J a om dl IS IMWI V3 39 I g My wsor am be reywsmw 543 a Liva CWMKOK a svmmdric my MHSVWIWMC Paris 8 3455 89 B 832 W W Swmmei c My mmdvic W Chg is Wyn1 Hi16v PE W614 P 5 W1Wl c MA wc mul ply H 0 2 ovd v Jrevxsor TL39 BL freq Aggy Symmetric war r out 85 Siquot EL 1 RAMiSyMzmejwic 94 09 36 B60 A55 5 Bik 35L T sie J T Miy TQSLVL TL Ag 3 Tu 53 TJLSd39g quotLELAA m ccrchms Lia TQSQ quotCc Aiga J 0 3 Egg AL Wvow awn AVW F WHL pa m 2 CH Ta is Symme ic lit 3 3amp6 Qmss s Wanem I jg ow as conssacv e skacw S Vii Av V Le c an u v5 v03 RV We wcom ogmm 9w 9w L J VL E ny a X Wow Hm Sketch 9 5 273 MW W52 M60 5x53 9 s OV HAC boHom Faith 31quot G39s 1 8xc yw 0n 39Ha 14 Paid 52 rms 6x5y w Comb m lwgf Swag Wm 5315 WM as SWJQ39GJg s 51 S g AS SimK mrko a 5 3x 0W 39 SSML39VIJS j A vL v2rmA 3 Summ39lM3 L9i5v9wgt4vu rF Ala Axg V 575 55 wit 14 vamp39mwiaws S Gau S39S Tln awava 2 v4 a 9 A V V S45 m as i gxiw 59544714243 6 SJcol es TheoV BML Coms39ndew Mo dJWeMSiQIM case Amn S aw C 056d W 3w curve C Let u Cumuy So W r 4 9325 VX M bx A y Area 0 le war 31 Xmax 9 x M uxboampmgtdx gt SSS 5U Arm 0 Liv gtva S JWK u SW V er 39 u5etgt 1 SS 3 MAY LHSI X cowlrevclockw39use 0xle WHOM 4 Clockw39tsa 01 095 Kwax ugh S bule uxlbom Ax x M IIA 5 clockwise atom M CWM6VCEDCkwES 1W3 WW Xmax AX j Mylrigkf MAM szw QB SWbWAC l ydi r om Isulng 9M 3 x 39 SEQ E eld 560uxax My X2 a 3849 3 Axa7 QAKMQ a Gemevaleimj Jm 3D Ks VK QWAA dd C 9 OCEN 678600 Fluid Dynamics for Ocean and Environmental Engineering Homework 6 Boundary layer ows and forces Date distributed 11192007 Date due 1232007 at 500 pm Return your solution either in class or in my mail box CETTl 802B by the date shown above Please show all your work and follow the rules outlined in the course syllabus 1 Plate drag A at plate 4 m wide and 1 m long in the direction of ow is immersed in water at 20 C owing with an uniform upstream velocity of 05 ms Show that the ow everywhere over the plate is laminar Calculate the thickness of the boundary layer and the local shear stress on the plate in the center and at the trailing edge Calculate the total friction drag on one side of the plate assuming that Blasius solution can be applied everywhere on the plate 2 Momentum integral Use the momentum integral and the velocity pro le u y 7 b 1 U a 6 to evaluate the boundary layer thicknesses 6 6 and t9 and the surface shear stress To for ow over a at plate 3 Ship models For a 2 m ship model moving at 10 ms7 estimate the displacement thickness of the boundary layer at the stern using the Blasius result for laminar ow and the 17 power law for turbulent ow Calculate the plate Reynolds number7 and give the correct value for the displacement thickness at the stern based on your engineering judgement Compare the values of 6L for the model ship with those for the prototype of a 200 m ship moving at 10 ms 3136 TAMU 39 College SiolionTeXQS 7784373136 39 979 84574517 39 FAX 979 86278162 Figule 1 Photog Iaph of the MV Vtng Pusatdun owned by Eldesvlk MPSV As f0 Statoll semng the Nozth Sea In ozdex to get an ac u ate scale model we would llke the boundaxy layez scales and w e wave ploductlon scales to match In nondlmenslonal space F0 wake wave ploductlon the lmpoztant pazametez ls the Flou e numbe 2 U FT 7 7 ME Comment on the posslblhty of accuxately scallng the shlp In the labozatozy What physlcal mo el 1 oxdez to get the collect model scallng f0 both constants could be change lnt e boundanr layez tuxbulence and wake wave ploductlorl 4 Ship biofowling t n the vahdlty of the followmg statement fxom a student zecently captwated p0 ant on ommen Baxnacles and slmllax maune glowth axe unlm to the s c by the subject ofscale analysls L L L 126 of the shlp quot Base you comments on the followmg example a m lurpuxpose offshoze vessel based In ovldes a few specl ca data ale f0 hydxaullcally smooth condltlons Estlmate each of the followlng 1 Using Figure 312 from Newman refer to course handouts7 estimate the total drag on the ship when traveling at 15 knots E0 For the same ship engine power output7 estimate the reduced speed of the Viking Poseidon when covered with barnacles of a typical scale k 2 mm 9 Estimate the percent added fuel cost per 1000 NM when the ship is covered with barnacles compared to the hydraulically smooth vessel Assume a diesel cost of 259 per gallon and that the engine power output is that from part 1 7 What is the range maximum travel distance without refueling of the ship under each condition smooth and with barnacles Based on these estimates7 do you think it is worth the effort to keep the vessel free of bar nacles Viking Poseidon speci cations Length 9335 m Breadth 2200 m Draught 705 m Fuel capacity 1355 m3 Fuel density 0870 gcm3 Service Speed 15 knots Fuel consumption 21 tonsday at 15 knots

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