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(   H    !  @)    @ ( ) ( )  `HKCVCO2PF`iZR3  @@   Cv*1000=I<<< (G2)should be between .7 & 3.0 or results are more suspect than usualIn R9 estimate midship flare (little to none=0, moderate=1, extreme=2), In V9 & W9 estimate the fineness of the bow &stern ( from -2=very fine, 0=avg. to +2=v. blunt) Little or Est. or measbow (V9), stern (W9) WLLWL=Waterline length (ft), BWL=WL beam (ft), H=draft (ft), W.S.=Wetted surface (sq.ft), Cp=Prismatic coef., Disp.=Displacement (lb.), le=Bow half-angle (degrees), lx=Stern half-angle (not important at this time) No flare=0 overhang @ finer = -1, -2fill in as many yellow shaded items as you can and calculations will be made on line 10 (& R12) or suggestions will be made on line 11 for the unknown dimensions, transfer them to line 9 and use the results to transfer more calculated or estimated dataLCB=Longitudinal center of buoyancy, At/Ax=Area of immersed transom divided by area of immersed midship, LOA & BOA=Length & Beam Overall (ft), Cx=midship coef., Cb=block coef.Flare=1 bow (T9) & average = 0 BOAT NAMELWLEWLBWLH W.S.Cp Disp.lb. leIxLCBAt/AxLOABOAAt--ft^2CxCb V.Flare=2stern (U9)(in inches)blunter = 1, 2Avalon Viviane!Calculated if related dims. knownG?use LWL or estimate it based on LWL, Cp, & le (or fineness of the bow)?use 10 unnecessary?use .5meas.How to meas. hull, BOA--calipers or two carpenter squares, LWL & BWL--in water--load to weight, check with level, mark WL @ bow, stern, & sides at widest point, mark floor directly under marks & measure (or use calipers for BWL)(continued next cell down)Suggestions if meas. unknown|If the # on line 9 differs from the one on line 10 most likely the hull is out of trim so one end is deeper than the middle. wt. + load est./meas.?use 0Cb=Cp times CxTo est. LCB divide length from bow WL to the widest point by LWL. To meas. Cx cut cardboard to fit hull at widest WL, draw that pattern on graph paper & make a rectangle around it--width=WL beam, depth=draft, the % that hull shape fills is Cx.Speed in Knots Cp=Cb/Cx or=Cp=Cb/Cx (=R12)(or divide total disp.--in lb.--by 64 and divide that by Cx x LWL x BWL x H)(or put all the data in line 9 & Cp=G10)(If you know all but one of Disp., Cp, Cx, LWL, BWL, or H this program provides the other #'s on line 10)Rr (residual resistance)Cx=Cb/Cp (=P11)--or measure it (see directions)--or estimate it--it ranges from 0 to 1, (flat-V=.5, semi-circle=.785 & rectangular=1)Rf (frictional resistance)Calculate EWL by plotting the curve of areas and adding the bow WL curve to it. A line from the peak of the curve tangent to the "belly" in the bow curve crosses the baseline. Remove the distance between the bow WL & this intersection from LWL to get EWL.Rt (total resistance)(Instructions for calculating or estimating "le" & "lx" should be added here)(Get method from Sea Kayaker)(est. of EWL needs work to make it closer to what SK gets)Rfp (friction w/poly factor)E(.99525 factor removed from this poly friction formula intentionally)Values for EWL, BWL, W.S, Cp., Disp.lb., le, LCB, & At/Ax are required. Those before "le" have the most effect, if you have no clue: for "le" use 10, for LCB .5, for At/Ax use 0. Other values on line 9 only help calculate or est. values on lines 10 & 11 Rtp (total for plastic)F10 is WS formula used in Gerritsma's SNAME paper of 1/28/93, F11 is WS formula I try to match Nautilus numbers with, neither appears better than the other but both average the same over 90 kayaks as NautilusC4Displ. in long tons =Eff.Cp=Eff.Cv =D/L^3 = <>>>>>interpolation factor.51.52.53.54.55.56.57.58.59.60)Table 1B (for 1.5x10^-3 Cv @ B/H=3.75) Speed/LengthSpeed/Length^.5 ratio autom. transfers to line 20 (C4) In this line the IF formulas differ by background color--don't change them globally across the line--by splitting them I widened the range of lengths covered In the above line the IF formulas differ by background color--don't change them globally across the line--by splitting them I widened the range of lengths coveredTable 4Transom Sterns0% of midship section1% of midship section2% of midship section3% of midship section4% of midship section(Table 1C (for 2.0x10^-3 Cv @ B/H=3.75)"Table 4 (Transon stern multiplier)Transom Extrap autom. transfers to line 26 (C6)To add to the measurement & results archive below copy & paste line 9 and then copy line 15 (17 for plastic or fabric) click on the first cell of the line & from EDIT menu click "paste special" & "paste values" then "paste special" & "paste formatting" stern (S9)(in inches)ITable 2 (Tables 1A, 1B, & 1C interpolated for the actual Cv of the hull)Aquaterra Chinook EWLNimbus Puffin EWLHydra Sea Runner EWL Mariner XL EWL Dagger Sitka Hop on TopOrca by PyranhaBoreal Beluga (double)Futura II, Spt.Tour. 200lbFutura II, Spt.T. est.250lbFutura II, Spt.T. 250lbPygmy Coho Expedition PWS IntrepidNautiraid GreenlandPerception Eclipse (Sealion)Pygmy Arctic TernBoreal EllesmereHeritage Expedition LPbow (U9), stern (V9) WL2 knots3 knots4 knots 4.5 knots5 knots6 knots bow (R9) &To add to the measurement & results archive above copy & paste line 9 and then copy line 15 (17 for plastic or fabric) click on the first cell of the line & from EDIT menu click "paste special" & "paste values" then "paste special" & "paste formatting" Current Designs ExtremeCobra Expedition Prijon Kodiakmismeasured Cobra ExpeditionEddyline Night Hawk (Modulus)FolbotOcean Kayak's MantaFeathercraft K-1Alternately, copy and paste (or insert) the results to the archive and then from the EDIT menu click "paste special" & then "paste values", (the formatting is taken care of with the original paste) NWK SynergyNC 17 Daytripper3Finds the Cp that s as far above .48 as it is below7Uses difference above .48 to correct for Cp's below .48Copyright 2001 by Matt BrozeDRAG PREDICTION PROGRAM FOR NARROW HULLS (as short as 8' long--23 to 100 lb. wt.range --and up to 30' long-- for 1200 to 5200 lb. wt.range)(in Cv*1000 range .7 to 3.0, best for Cv*1000=1 to 2, see G2 for Cv*1000)(for 300 lb displacement 11.5 to 19' EWL)(Cp range .42--.64)&Insert boat name & data on line 9. Results display on line 15 for glass & wood--line 17 for soft poly or fabric boats. (Cp range:.42 to .64, if Cp is larger results for .64 will display, results below Cp .48 are extrapolated using trend from the eq< ual range above .48)(See S10--How to measure) If measurement is unknown, enter known data on line 9, then enter the calc. values from line 10 (or P11, Q11, or R12) or--next best--values from line 11 (programs est. based on other data from line 9) onto line 9 or make your own best estimate Point 65 NKajakSport Viking Exp.Fujita PE-1-500 (folding)Aqua Dynamic Thelon 1765 Degrees North (2)7 knots8 knots~if Cp in row G of the archives is exactly .48 it may be because the calculations (at that time) didn't work with a lower valuethe actual Cp can be read in cell R12 (if actual Cp is higher than .64 the calculation automatically uses .64 rather than the higher number) CD AndromedaAlly 560 Folding KayakFeathercraft JavaOcean Kayak Pro-SI 109 CD Squamish P&H QuestTotal Resistance atLWL=Waterline length (ft), EWL=Effective WL (ft), BWL=WL beam (ft), H=draft (ft), W.S.=Wetted surface (sq.ft), Cp=Prismatic coef., Disp.=Displacement (lb.), le=Bow half-angle (degrees), lx=Stern half-angle (not important at this time)HSea Kayaker magazine publishes this data for 2, 3, 4, 4.5, 5 and 6 knots5Low Cp correction uses diff above .48 for diff. below*C5 (LCB factor) =$(Fn)Froude#(=.298*S/L^.5 --next row)Reynold's number Chinook 1986 Towing Tank ResultsPuffin 1986 Towing Tank Results#Sea Runner 1986 Towing Tank Results$Wind Dancer 1986 Towing Tank Results"Mariner XL1986 Towing Tank ResultsSeaward Navigator EWL@real trimDagger Magellan EWL@real trimEddyline Merlin XTOcean K. Dawn Trakker Boreal Alvik Nimbus Telkwa Prijon SeayakEasy Rider Eskimo 19Eddyline Falcon 18 NWK PursuitPrijon Yukon Eski 250 CD Gulfstream Mariner ElanCLC Chesapeake 17WS EpicNimbus Kap FarvelSeaward Passat Dbl.Ocean Kayak's Cabo Dbl.Seaward Naia Dbl.Prijon Odyssee DblSeaward EndeavorBoreal InukshukPrijon CalabriaCrosswind Dbl.WS Cape Horn 17 Pro Necky ElahoSeaward AuroraSeaward ChilcoPygmy Arctic Tern 14Nelo Moskito FW2000aEddyline Wind Dancer EWL (this program uses actual Cp rather than eff. Cp, but Eff. 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B?H?w&Qb?{9n?+?Okm"?I285@ Gb@qm|M`?Q@-@T3 @X.z4?z]@!J.@d* @%P\f@O$ @g> @@fA1+%@ Y7k@ 0XF@ \Ea#T,@ .륊#@ @ ݪ31@ Zv)@  .!@ DI>5@ If"6.@ j=(&xP#@ Q#8@ -;Wg0@ $%@ TE;@e P>@>@????mѧ0b bfЂ0btb;0j0Xbab*0babXbXb*0*0Xbb)xb 0 0,(0,tb?@ABCDEFG% T`KeAUuAKLT2.5  % TTAUuALP3  RL Arialopqrstuvwxyz{|}~% T&AUuA&L|Rr (residual resistance)  RL Arial% TlAUuALX0.027 RLArial     % Tl2AUuALX0.057 RLArial+,-./0123456789:;<=>?@ABCDEFGHI% TlHgAUuAHLX0.090 % Tl}AUuA}LX0.123 RLArialvwxyz{}~% T&AUuA&LRf (frictional resistance)  % TlAUuALX0.517 % Tl2AUuALX0.869 % TlHgAUuAHLX1.303 % Tl}AUuA}LX1.814 RL ArialMl% T&AUuA&LxRt (total resistance)  % TdAUuALT0.54 % Td2AUuALT0.93 % TdOgAUuAOLT1.39 % TdAUuALT1.94 % % " !% (   ( &% % 6Ml!??#!% 6!Ml#!!#!|!??% 6Ml!??#2% 62Ml#22#2|!??#% 6Ml##!??"% 63Ml"2"!??% 6Ml!??% 65Ml44!??5% 65Ml555!??j% 6jMljjj!??#% 6Ml##!??% 65Ml44!??#% 6#Ml###!??% 6Ml2!??% 6Ml2!??5% 65Ml5552!??j% 6jMljjj2!??% 6Ml2!??#% 6Ml##!??% 6^& WMFC 5Ml44!??k% 6Mlkk4!??#% 6#Ml###!!??#% 6#Ml#!??#% 6Ml##~!??#C% 6CMl#CC#C~!??#T% 6TMl#TT#T~!??#e% 6eMl#ee#e~!??#v% 6vMl#vv#v~!??% 6Ml!??% 6Ml!??#% 6Ml##~!??#% 6Ml##~!??% % % " !  $$0  K@0 $$% % " !    ( &% % 6Ml!??% 6Ml!??% % % "   ''', #--# @ !#!-!$ @ !#!2-2$ @ !#2C-C$ @ !#CT-T$ @ !#Te-e$ @ !#ev-v$ @ !#v-$ @ !#-$ @ !#-$ @ !#-$ @ !#-$ @ !#-$ @ !#-$ @ !#-$ @ !#-$ @ !#- @ !- @ !- @ !5-5 @ !5j-j @ !j- @ ! - @ !" ---$ @ !#- @ ! ---$ @ !##-# @ !# - Courier???????????????????????- 2 1 --# @ !"  2 $2 "-"# @ !""  2 53 3-3# @ !"3  2 F4 D-D# @ !"D  2 W5 U-U# @ !"U  2 h6 f-f# @ !"f  2 y7 w-w# @ !"w  2 8 -# @ !"  2 9 -# @ !"  2 10 -# @ !"  2 11 -# @ !"  2 12 -# @ !"  2 13 -# @ !"  2 14 -# @ !"  2  15 -# @ !"  2 vA $-$ @ !$  2 B - @ !  2 C - @ !  2 LD 6-6 @ !6  2 E k-k @ !k--"Systemp΁rbl~-' ,$ - @ !:! 0- @ !2 @ !k50- - @ !# ̙̙0- @ !2- - @ !6 ̙̙0- @ !65- - @ !6j ̙̙0- @ !: @ !2 @ !65 @ !: @ !2 @ !65 @ !:0-  - @ !# ̙̙0- @ !2-  - @ !6 ̙̙0- @ !65-  - @ !6j ̙̙0- @ !: @ !2 @ !65 @ !:--' ̙,!$ - ArialY??Z??Z?Z???- 2 &DRAG PREDICTION PROGRAM FOR NARROW HULLS (as short as 8' long--23 to 100 lb. wt.range --and up to 30' long-- for 1200 to 5200 lb. wt.range)(in Cv*1000 range .7 to 3.0, best for Cv*1000=1 to 2, see G2 for Cv*1000)(for 300 lb displacement 11.5 to 19' EWL)(C                   !2 ROGRAM FOR NARROW   --',$ - ArialABCDEFG- 2 "& P&H Quest     Arial~????- 12 "Copyright 2001 by Matt Broze     Arial- 2 3&Insert boat name & data on line 9. Results display on line 15 for glass & wood--line 17 for soft poly or fabric boats. (Cp range:.42 to .64, if Cp is larger results for .64 will display, results below Cp .48 are extrapolated using trend from the equal rang           @2 3&ults display on line 15 for glass & wo      Arial??????-t2 D&If measurement is unknown, enter known data on line 9, then enter the calc. values from line 10 (or P11, Q11, or R12) or--next best--values from line 11 (programs est. based on other data from line 9) onto line 9 or make your own best estimate                2 U&In R9 estimate midship flare (little to none=0, moderate=1, extreme=2), In V9 & W9 estimate the fineness of the bow &stern ( from -2=very fine, 0=avg. to +2=v. blunt)             --',vf$-  ArialUuUuUu-D2 f&LWL=Waterline length (ft), BWL=WL beam (ft), H=draft (ft), W.S.=Wetted surface (sq.ft), Cp=Prismatic coef., Disp.=Displacement (lb.), le=Bow half-angle (degrees), lx=Stern half-angle (not important at this time)                    --',$--',w$--2 w&LCB=Longitudinal center of buoyancy, At/Ax=Area of immersed transom divided by area of immersed midship, LOA & BOA=Length & Beam Overall (ft), Cx=midship coef., Cb=block coef.                  --',$-  Arial??????-2 & BOAT NAME   2 LWL  2 EWL  2 JBWL  2 H   Arial?????????????????????????-2 & P&H Quest   Courier???????????????????????- 2 14.9 2 14.76 2 91.784 2 n0.477   --' ,$--92 &!Calculated if related dims. known   --' ,$--2 ######--' ,5-- r2 G?use LWL or estimate it based on LWL, Cp, & le (or fineness of the bow)      --' ,$--2 A1.78402 v0.4765 --',$ --12 &Suggestions if meas. unknown   --' ,$--2 ######2 13.86722 A1.7935--' ,k--2 m|If the # on line 9 differs from the one on line 10 most likely the hull is out of trim so one end is deeper than the middle.     --',$-- 2 &Speed in Knots     Arial?????????????????????????- 2 1.5  Courier???????????????????????- 2 (2   Courier*+,-./- 2 K2.5  - 2 3    Arialopqrstu-+2 &Rr (residual resistance)    Arial-2 0.027  Arial-2 0.057  Arial??????_-2 H0.090 -2 }0.123  Arial??????-.2 &Rf (frictional resistance)  -2 0.517 -2 0.869 -2 H1.303 -2 }1.814   Arial?????????????Ml????????-'2 &Rt (total resistance)v  - 2 0.54 - 2 0.93 - 2 O1.39 - 2 1.94 --',- -- @ !!#-! @ !|!#- @ !2#-2 @ !|2##- @ !#"-3 @ !"- @ !-5 @ !45-5 @ !5j-j @ !j#- @ !#-5 @ !4#-# @ !#- @ !2- @ !25-5 @ !25j-j @ !2j- @ !2#- @ !#-5 @ !4k- @ !4k#-# @ !!##-# @ !##- @ !~#C#-C @ !~C#T#-T @ !~T#e#-e @ !~e#v#-v @ !~v#- @ !- @ !#- @ !~##- @ !~#---' ,$,$,$--' , -- @ !- @ !---' ՜.+,0HP X`hp x   KCVCO2PF  Worksheets  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~Root Entry FWorkbookSummaryInformation(DocumentSummaryInformation8