RESEARCH MEMORANDUM
PLANING CHARACTERISTICS O F SIX SURFACES REPRESENTATIVE
O F HYDRO-SKI FORMS
By Kenneth L. Wadlin and John R. McGehee
Langley Aeronautical Laboratory Langley Air Force Base, Va.
CLASSIRCATtON CANCE
NATl.ONAL ADVISORY COMMITTEE FOR AERONAUTICS
WASHINGTON February IO, 1950 '-
LED
L -._
i
MllCA RM LgL20
By Kenneth L. W a d l i n and J o b R. McGehee
The planing characteristics, as determined by tank t e s t s , are presented for six surfases representative of hydro-ski forms.' Two of the surfaces ha+ rectasgular plan forms with convex and concave- convex bottom cross aectiom, reepectiveu. Two had triangular plan forms w i t h longitudinal taper ratios of 4:1 and 2 :1, and w i t h f a t and convex cross sections, respectively. The rem- two surfaces had combined rectangular and triangular plan forma with 4: I., Eand 2 :1 taper ratios, respectively, and w i t h flat bottom cross sections.
. he tests were =de at trims fram 4 0 - b 200, Speeds f r o m 15 t o 35- feet per second, and sufficient loads to define variations with wetted length.
The data for each surf'ace are given in the form of plots of wetted length, load, resistance, -t;rbnhg moment, a d draft agaFnet wetted area. Plots of wetted area fomaxd of the observed wetted length at the chine a r e also included.
The we of retractable planing smface8, called hydro-&is, for supportlng jet-propelled water-based airplanes durhg the high-speed part of their tqke-off 8 and landin@s was proposed in reference 1. The results of some pel- tests of models fitted w i t h hydro-skis are presented Fn ref erencea 1 and 2.
Although some glaning data are available for flat rectangula31. . surfaces, for instance, references 3 and 4, t he fundamental data required f o r the design of hydro-skis and hydro-ski asrangerrtents are Umited. The hydrodpamic characteristics of a series of forma suitable for hydro-skis are therefore being determFned Fn Langley tank no. 2.
2 NACA RM LgL20
The series includee cross sectione suitable for fluah retraction into fuaelages and w i n g s , one crose section caneidered suitable fo r
desimble Tor Wing stabi l i ty in the t e s t s ' o f reference 1. The upper surfaces are fa i red for subsequent Investigation of the submerged and emerging conditiona a8 w e l l as the planing canditians.
operation on - ~ m w an8 Ice, and pointed plan forms indicated t o be P
The plaaing data f o r t h ree of the surfaces have been presented Fn reference 5. This paper provides .correspondin@;.data f o r six additional surfaces in the series. A s in reference 5 , the d&ta are given without analysis or discmsion to mke the resul ts immediately available.
The prlncipal detail8 of t h e models teated m e given in figures 1 t o 6. Model 250C had a t r~ tnsverse ly curved. bottom w i t h a 30° central angle and was rectangular In plan form. Model 250E bad a f l a t bottom .
and was tr ianguhr in plas form w i t h a longitudinr%l -t;ager ratio of 4 :1. Model 25OF h a d . a transversely curved bottom of a comtant radius correspont~in@; t o a 60° central angle a t the leadm edge and WBB L triangubx h plan form w i t h a t q e r r a t i a of 2:1. Modei 250~ had a f l a t bottom, and In plan form the. model had a rectangular f o m d section and a triangular aft section w i t h a taper e t i o of 4:l. ? Model 25QH had a f l a t bottom, and in plan form t h e model had a rectangular '
forward section and a trian@;ular aft section with a taper ratio of 2:l. Model 25oJ w8 rectangular in plan form with a concave-cmvex trana- versely curved bottom for anow and ice opera-bian.
.I
"
All trianguLar e e l s were tested with the apex of the triangle af t . All t he mdels had the same plan-f orm area (0.347 sq f t) gand were made of solid mhogany. The upper s-irrfaces of a U the models -re a r b i t r a r i l y faired by mkLng a l l the longitudinal-sections circular arcs w i t h a height a t the center o f . 5 percent of the chord which forma the bottam of the aectbon.
The present testa were made by LIB- the m a l l mdel towFng gear on the Langley tanlr no. 2 t a r i n @ ; . q i a g e a8 were the teat13 of ref - erence 5 . In a n e f f o r t -t;O Fmprove the accuracy of the data, however, a wind screen was Fnstalled to reduce the aerodynamic tares t o negligfble valuee. A photograph of the setup'with $he screen removed t o ehow t h e gew is given In figure 7. The wFnd screen comisted of two vee"shaped shields in tandem in front of the model extending t o w i t h i n three-eightha of an inch of the water. surface.
The density of t h e water during these te&s was 63.3 pounds per cubic foot and the kin.&natic viscosity was 1.143 x 10-5 square f e e t per second a t 700 F. . ." . - L
NACA RM ~ 9 ~ 2 0 3
PROCEDURE
The tes t s COIlSiEted O f towing the models h the water a t V a r i O U S speeds an3 lows at f ixed trims (T ) of kO, 80, Bo, 16O, and 20°. A sufficient number of loads were chosen a t each t r i m to define the v a r i a t i o n s of resistance, tr- moment, and draft w i t h wetted length. The mimum speed was determined by the measurhg limits of' the equipment and ranged f r o m 30 to 35 f e e t per second. The m3nim.m speed W&E 15 f e e t per second since below thls speed consistent planlng data could not be obtained. ReEi6bm~e, k"" moment, draft, asd: wetted length were measured.
Draft is defined as the depth of the trailing edge of the mdel below the undisturbed water Burface. Trinmzing moment W&E measured about a point above the model and, from the measured results, t he trtrming mcenent about the trailing edge a t the center llne of the model was calculated.
The wetted length observed was the distance frm the trailing edge of the model t o the intersection of the m c solid-water bound&ry
was detemlned from underwater photographs similar t o those -In figure 8.
The wetted area is defined as the plan-fom area wetted by the
L with the chine of the model. The wetted length a t the center line
3
dynamic so l id water. !This area ww determfned f r o m the plan form of the models, the observed wetted length a t the chine, and the addi t ional wetted area forward of the obsemed wetted length determined from the underwater photographs of t he dpmmic water lFne.
The results are presented in figures 9 to 40 as set forth ~n %able I.
F r o m t h e procedure described, the quantities in the figures are defined as follows :
(a) Resi8-t;Etnce is the measured horizontal force:
(.b) Trinrming moment is the measured tr- moment referred t o the t ra i l ing edge of the model.
Y
t
(c) The load is t h e ~ b a l a a c e d weight of the model and gear.
4 - NACA RM LgL20
(a) Draft is the depth Or the trailing edge. of the model below tb free -water surface.
(e) Wetted. mea. is tihe plan-form area wetted by the QnamLc solid water.
(f 1 Wetted length is the observed length from the trailing edge of the a d e l t o the intersection of the dynamic solid-water boundary w i t h the chine or center 1Fne.
It ahodd be noted that while the w l n d screen effectively eliminated the amdynaxlc tB;ce8, It a U o largely el%ted the influence of the air stream on the wave patterns around the models. Though it is believed that W s influence can be cansidered negligible for practical desigmpurposes, it result6 in the data being not s t r ic t ly comparable w i t h those of reference 5.
Langley Aeronautical Laboratary National Advisory Committee f o r Aeronautics
Langley A i r Force Base, Va..
1. Dawson, John R., a n d ' Wadlin, Kenneth L. : P r e l W r y Tank Tests of mACA Hydro-skis f o r High-speed A l r p l m e s . EACA RM L7104, 1947.
2. W a d l i n , K e n n e t h L., and m e n , John A . : Tank Spray Testfl of a Jet-Powered Model Fitted with IWCA Fiydro-Skis. IIAA RM ~ 8 ~ l . 8 , 1948.
3 . Shoemaker, James M.: Tank Testa of Fla t and V-Bottom PlanFng Surfaces. NACA TN 509, 1934.
3. Wadlin, Kenneth L., and McGehee, John R. : P- Chtwscteristice of Three Surfacea Representative of EydroSki Forms. MCA RM ~9203, 1949: - - - ' -
. . . ". - " . - . . . . . . . .. . . - " -
t -
NACA RM LgL20
UEL5 I.- INDEX OF FIGURES
5
Figure
bottom curvature; model 25oG . . . . . . . . . . . . . . . . . 1
m o d e l 250E . . . . . . . . . . . . . . . . . . . . . . . . . . 2
D e t a U of rectangular p a surface w i t h convex-”amverse
Details of triasguLas plaaing m r f a c e with flat bottom;
Details of triangular planhg surface with convex-
Details of plaaing surface of comb- rectangular and triangular
Details of planhg surface of cambhed rectangulas asd triangular
transverse bottom curvature; mdel 2503’ . . . . . . . . . . . 3
(taper ratio 4:l) plan forme with f lat bottom; model 25OG . 4
(taper ratio 2:l) plan forms w i t h f l a t bottom; model 250H . 5 ’Details of rectangula;r planing surface with a concave-convex
transverse bottan curvature; m&el2503 . . . . . . . . . . . 6 Photograph of test setup . . . . . . . . . . . . . . . . . . . . 7 Werwater photographs of &el 2505 a t a -tsim of k0 . . . . . . 8 Variation of w e t t e d lengths at chins and st model center llne
with wetted area f o r model 25OC . . . . . . . . . . . . . . . 9 Variation of wetted length at chFne and a t d e l center Une . with wetted area for model 25oE . . . . . . . . . . . . . . . . 10
Bmiation of wetted length at chlne asd at model center line with wetted area f o r model 250F . . . . . . . . . . . . . . . Y
Variat ion of w e t t e d length at’ch3ne and at model center line ’ with wetted &rea fo r mOaels 25oG and 25OH . . . . . . . . . . 12 Variat ion of wetted le- a t chine and a t model oenter line
with w e t t e d area f o r model 25CU . . . . . . . . . . . . . . . 13 Wetted area forward of the obsgrved wetted length for models
250c and 2 5 0 ~ . . . . . . . . . . . . . . . . . . . . . . . . 14 Wetted mea forwasd of the obsarved wetted length for models
250E. 25CG. and 250H . . . . . . . . . . . . . . . . . . . . . 15 Wetted area forward of the observed wetted l eng th fo r model 2 5 0 ~ 16 Variation of load with wetted area; model 25OC . . . . . . . . . 17 Variation of resistance w i t h w e t t e d area; mdel 2 5 0 ~ . . . . . . 18 Variation of moment with w e t t e d area; model 25OC . . . . . . . . 19 Vmiation of draft with wetted area; m o d e l 250’2 . . . . . . . . . 20 Variation of load w i t h wetted area; model 250E . . . . . . . . . 21 Vmiatfon of resfstance with wetted area; model 25OE . . . . . . 22 Variation of moment with wetted area; mdel 25OE . . . . . . . . 23 Variation of draft with wetted area; model 250E . . . . . . . . . 24 Vaziation of load w i t h wetted area; mdel 25OF . . . . . . . . . 25 Var i a t ion of resiatance with w e t t e d area; d e l 250F . . . . . . 26 Variation of moment with wetted area; model 250F . . . . . . . . 27 Variation of draft w i t h wetted area; m o d e l 25aF . . . . . . . . . 28 Variation of load w i t h wetted area; model 25OG . . . . . . . . . 29
Variation of moment with wetted- area; &el 25OG . . . . . . . . 31 Variation of draft with wetted area; model 2506 . . . . . . . . 32
Variation of resistance with w e t t e d mea; model 25OG . . . . . . 30
6 - NACA RM L@20 . .
Y
. .
Y Figure
Variation of load w i t h wetted area; model 250H . . . . . . . . . 33 Variation of resistance with wetted area; model 250E . . . . . . 34 Variation of moment with wetted area; model 25oH . . . . . . . . 35 Vmiation of draft w i t h wetted area; model 25OH . . . . . . . .- 36 Variation of load with wetted area; model 25OJ . . . . . . . . , 37 Variation e e e i s t a n c e with wetted area; model 250J . . . . . . 38 Variation of mament with wetted area; model 25oJ . . . . . . . . 39 Variation of draft w i t h wetted area; model 25oJ . . . . . . . . 40
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" _,_ . . - . . . . . I_ . ..
. . . . . . . . .- .
6 b
.. . .
c. I
. 1.667 -4
I I "" - --- A
"
I
B A I
".. . " . . . . . . . . . . .
L1 c.:
- F i W e 1.- Details of rectangular planlng,surface with cornex transverse b o t t o m curvature (model 25oC).
(All. dimensions are in feet.)
-4
. . . -
I A
.1
.. . . . . . . . . . . . . . . . . .
. - .. . . . . . . .
I
. . " - . . . . . . ' ' " ' I
b L c i
r,0& B A v s 9 m d!
P 0
1
A
Ssctlan A 4
Figure L.- D~tails of planing surface of ccmbined rectangular and triangular (taper ratio 4:1) plan form with f la t bottom (model 2m). (A l l dinensions are in feet.)
s ..r 4
. . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . .
. . . . . . .
I I
. .
-7 'H
r.088 B I
e A All. ltmgitudlaal sectiona ere circular arcs with 6~ b i g h t at the oenter of 5 percent of the chord which forma the bottom of the section.
. . . . . . . . . . . . . . -. . . .. .
r;
. . . . I ' !
Figure 5.- DetaiZs of planing surface of combined rectangular and triangular (taper r a t io 2: l ) plan f o m with flat bottom (model 250H). (All dimensions are in feet.)
I - - -" .208
r -083 B I I A 6 ""-" ""_ " "_ -
B A
A l l longitudinal sections a m cirmilar arcs w l t h a height a t the canter of S percent of tho chord w h i c h form the bottom of tha eection.
. ossa
- v Figure 6.- Details of rectangular planing surface with a concave-convex banwerse bottom curvature
(All dimensions are in feet.)
? t
. .- . . . . . . . . . . .. .. . . . . . . . . . . . . . . .
# z I L: P
Figure 7.- Photograph of t e a t eetup with wind screen removed.. I
. . . . .
T
V
NACA RId LgL2d
T y p i c a l a t a t i c water line
T y p i c a l dynamic water line v L-63078
Figure 8. - Underwater photographe of model 25OJ at trim of 4'. -
V
8
TTACA RM L9LX)
i
2 .O
1.5
1.0
05
n U
0
2.0
1.5
1 .o
S
0
.1 .2 T o t a l wetted area, sq ft
(a) z = to*
.3
Y I
0 .1 Total wetted area, sq ft
(b) z = 8O.
Figure 9.- Variation of wetted lengths at chine and a t m o d e 1 center line with wetted area f o r model 250C.
NACA RM ~ 9 ~ 2 0
.1 .2 T O W wetted area, sq ft
(c) 7 = 120.
.3 .4
.1 .2 .3 Tota l wetted area, sq ft
(a) T 16'.
.Ir
Figure p . - Continued.'
NACA RM L9L20
2 00
0 0 .I .2 . .3
T o t a l wetted area, sq ft
(e) 7 - ZOO.
Figure 9 .- Concluded.
20 NACA RM LgL20
0 .2 3 Total retted area, sq ft
.4
Figure 10.- Variation of wetted lengths at chine and at m o d e l center line with wetted area f o r model 250E.
NACA XM
2 .O
5
rp
5-
0 .1 02 .3 .& Total netted area, sq ft
(a) z = 4O.
0
C
.1 .2 03 Total netted area, sq ft
(b) z = 8 O .
04
21
Figure ll.- Variation of wetted lengths at chine and a t model center l ine with wetted area for model 25’OF.
22 .NACA RM LgL20 . . ". "
8
2 .o
B g l o 0 bo
0
2 00
"
rr
0 .1 e 2 .3 Total uettted area, sq ft
( c ) T - 12O. 04
d P l e 0 rl
0 0 01 .2 03
Total wetted area, sq ft
(a) T = 16'.
.4 a
I ' I
Figure ll.- Continued.
NACA RM L9L20
2 .o
1.5
1.0
.5
0 0 .1 .2 .3
Total wetted area, sq ft
(e) z = 20'.
F i g u r e II,- Concluded.
8
t
24 ' NACA RM LgL20
2 00
0
2 *o
0
0
0
(b) Model 2SOH.
Figure 12. - VariatFon of w e t t e d lengths at chine and at model center l ine with wetted area for models 2503 and 250H.
XACA RM L520
0
2 .o
0
01 .2 03 Total wetted area, sq ft
(a) z - 4O.
0 e 1 .2 03 Total wetted area, sq ft
(b) 7 = 8'.
.4
Figure l.3 .- Variation of wetted lengtlis at chine and at model center line with wetted area for model 2505.
26 .. .. .. . . . - - - . .. . . NACA FM LS20.
2 00
0
2 00
L
0 .1 .2 03 Total wetted area, sq ft
( c ) z - 12O. 04
t
0 0 .1 .2 03
T o t a l wetted area, sq ft
(d) z = 16'.
.4
NACA RM LmX)
2 e o
0 0 .1 02 e 3
Total wetted area, sq ft
(e) z 20'.
Figure 3.3.- Conclucied.
i
28 . . . . . . . . .. . . . - . . -.NACA RM L9L20
0
0
4 8 12 T r i m , deg
(a) Model 250C.
20 0
I "
0 4 a 12 16 20 Trim, deg
(b) Model 2505.
Figure 14.- Wetted area forward of the observed wetted length for ' models 25oC and 2505.
i
NACA EM L9L20 29
0 01 .2 03 Total wetted area, sq ft
-4
Figure 15.- Wetted area forward of the observed wetted length f o r models 25QE, 25oG, and 25oH.
NACA RM ~ 9 ~ 2 0
I
.1 .2 03 Tota l wetted area, sq f t
04
Wetted area forward of t h e observed wetted length for model 25aP.
WACA RM L9Lx) 31
0
% Figure 17. Variation of load with wetted area. Mode1 ZOC.
EACA FM ~ 9 ~ 2 0
(b) f = go.
Figure 17.- Continued.
. .
#
0
I
T
8
NACA RM L9L20 33
0 Netted area, sq ft
( C ) T = 1s.
Figure 17. Continued.
34
Wetted area, sq ft
(d) 7 = 16O.
Figure 17. - Continued.
NACA RM LgL20
c
U
NACA RM L9L20 35
0 Wetted area, sq ft
(e> 7 = a o .
Figure 17. Concluded.
36 NACA RM LgLN
c
.
Wetted area, sq ft (a) T = W.
Figure 18.- Variation of resistance with wetted area. Model W C .
NACA €24 L9L20 37
Wetted area, s q ft (b) 7 = &O.
Figure 18.- Continued.
38
Wetted area, SQ f t
Figure 18.- Continued. ( C ) T - 1s.
NACA RM L9L20
J
NACA RM L9Lm 39
a
3
2
1
0
Wetted area, sq ft
Figure 18.- Continued. ' (d) 7 = 16O.
6
m a Q)
Wetted area, sq ft (e) T = 200.
Figure 18.- Concluded.
NACA BM LS20 41
c
. c
NACA RM LgL20 43
Wetted area, sq ft
Figure 19.- Continued. ( c ) 7 = 19.
44 RACA RM L9L20 "
05 .10 15 .a0 Wetted area, sq ft
(dl T = 16O. Figure 19.- Continued.
.. .
v
W
NACA RM LQLX)
i
.
Wetted area, sq ft ( 0 ) f = Po.
Figure 19. - Concluded.
NACA RM L9L20
Wetted area, sq f t
(a) T = R h 0 .
Figure 23.- Variation of draft with wetted area, Moael W C . c
NACA RM L9L20 47 c
Wetted area, sq ft
(b) T = 8. Figure 20.- Continued.
.
NACA RM L9L20
(c) = 120.
Figure 23.- Continued.
NACA €34 LQLX) 49
Wetted area, sq ft
(dl T = 160.
Figure 20.- Continued.
Wetted area, sq ft
(e) T = W . Figure Z#.- Concluded.
NACA RM L9L20
NACA RM LgL20 51.
Figure 21.- Variation of load with wetted area, Model --E.
(b) ‘T = BO.
NACA RM L9L20
Figure 21.- Continued. I
Wetted area, sq f t
( C ) 7 = 19.
Figure U. - Continued.
NACA RM L%20
(dl t = 16O.
Figure 21.- Continued.
NACA PM LQL20 55
Figure 21.- Concluded.
NACA RM LgL20
c
.
Figure 22.- Variation of resistance w i t h wetted area. Model 250E.
NACA RM L9L20 57 .
.
Wetted area, sq f t
Figure 22.- Continued. (b) T = go,
c
.
Wetted area, sq ft
Figure 22.- Continued. ( C ) T = 120.
NACA RM LS20 59
Wetted area, sq f t (dl 7 = 160.
Figure 22.- Continued.
Wetted area, sq f t (e) T - P O .
Figure 22.- Concluded.
NACA EM LS20 61 .
Wetted area, sq ft (a) T = 40.
Figure 23.- Variation of moment with wetted area. Model =E.
62 NACA RM LgL20
Wetted area, sq ft (b) T = 8'.
Figure 3.- Continued.
c
0 Wetted area, sq P t
Figure 23.- Continued. ( c ) f = 120.
64 MACA RM LgL20
I
Wetted area, sq ft
Figure 23.- Continued. (dl T = 16O.
Wetted area, sq ft
Figure 23.- Concluded. (e) T = P O .
66
Wetted area, sq ft (a) T - 40.
NACB RM LgL20
Figure %.- Variation of draft with wetted area. Model =E.
NACA RM L9LX) " 67
Wetted area, sq ft
(b) T - @.
Figure 2+.- Continued.
68
Wetted area, sq ft
(C ) T = 13.
Figure 24.- Continued.
NACA RM LgL20
RACA RM L9Lx)
.64
.
a 16
0 10 15 .a3 05
Wetted area, sq ft
Figure 24.- Continued.
70 NACA RM LgL20
.10 15 D P
Wetted area, sq ft
Figure 2%- Concluded.
. NACA R k L9L20
Wetted area, sq f t
(a) T = 40.
load with wetted area. Model W F .
0
Wetted area, sq f t
(b) 7 = 8'.
Figure 5.- Continued.
NACA RM LS20 73
Wetted area, sq ft
(C> 7 = 120.
Figure 5.- Continued.
Wetted area, sq ft
(dl T = 16O.
Figure 25.- Continued.
RACA RM LWx) 75
Wetted area, sq ft
(e) T = Po.
Figure 5.- Concluded.
76 NACA RM L920
Wetted area, sq ft (a) T - 40.
Figure %.- Variation of resistance with wetted area. Model W F .
77
.
.
NACA RM L9L20
Wetted area, sq ft
Figure Z6.- Continued. ( C ) 7 - 1%.
I
NACA RM ~ 9 ~ 2 0
Wetted area, sq f t
Figure 5.- Continued. (dl 7 = 160.
80
Wetted area, sq ft
Figure 26.- Concluded. ( e ) T = 200.
. L
Wetted area, sq f t (a) f = bo.
Figure 27.- Variation of moment with wetted area. &del TjoF.
82 .. .. " . " " . " . " "" 1 ". .. . "mACA RM LgL20 I
Wetted area, sq It (b) T = go.
Figure 27.- Continued.
.
Wetted area, sq ft
Figure 27.- Continued. ( C ) 7 - 1s.
84 NACA RM LgL2U . . - ... _-
Wetted area, sq ft
F'igure 27. - Continued. (dl T = 16'.
RACA RM L9L20
Wetted area, sq ft
Figure 27.- Concluded. (e) T = 2Do.
86 NACA RM L9L20
Wetted area, sq ft
( 8 ) 7 * u'.
Figure 2s.- Variation of draft with wetted area. Model m F .
.
XACA RM LSX)
.a
Wetted area, sq ft
(b) 7 = 80.
Figure 25.- Continued. .
88
Wetted area, sq ft
( C ) 7 = 120.
Figure Z.= Continued.
.
NACA RM L9Lx) 89
Wetted area, sq ft
(dl 7 = 16O.
Figure 28. - Continued.
90
Figure 28.- Concluded.
IPACA RM ~ 9 ~ 2 0
Wetted area, sq f t
<a? T = 4O.
Figure a.- Variation of load with wetted area. &del m.
" - NACA AM LgL20
Wetted area, sq ft
(b) T =I 8O.
Figure 2Q.- Continued.
NACA RM L9L20 93
Eettsd area, sq ft
(c) t = 120.
Figure a.- Continued.
94 NACA RM ~ 9 ~ 2 0
* .
Figure 3.- Continued. ! -
95
- ',vetted area, sq f t
(e> 7 = Po.
Figure 29.- Concluded.
NACA RM L9L20
. Wetted area, sq ft "
(a) T = 40. Figure 30.- Variation of resistance with wetted area. Model m G .
I
NACA RM L9Lm 97
Wetted area, sq ft
Figure 3. - Continued. (b) T = 8 O .
.. .
.. .
I
NACA RM L9L20 99
Wetted area, sq ft
Figure 3.- Continued. (d) T = 16O.
loo . NACA RM Lw20
0.5 .10 15 .a .5 Wetted area, sq f t
(e ) T - 200. Figure 5.- Concluded.
I
NACA RM Lm20 101
Figure 3.- Variation of moment with wetted area. Model -. -
102 NACA RM ~ 9 ~ 2 0
Wetted area, sq f t
Figure 31.- Continued. (b) T - go.
Wetted area, sq ft
Figure 3.- Continued. ( C ) 7 = 120.
RACA RM LgL20
Wetted area, sq f t (d) T = 16'.
Figure 3.- Continued.
.
Wetted area, sq ft
Figure 31.- Concluded. (e> T = 2Do.
Wetted area,. aq ft
(a) T = YO.
NACA RM LgL20
Figure 3.- Variation of d r a f t with wetted area. Model m G .
WACA RM LQL20
.
Wetted area, sq ft
(b) 7 = go.
Figure 32.- Continued.
108 RACA RM L@20
Wetted area, sq ft
(C) T = 120.
Figure 32.- Continued. 7
Wetted area, sq ft
(dl 7 = 16'.
Figure 32.- Continued.
NACA RM L9L20
Wetted area, sq ft
( e ) T = ZOO.
Figure 3.- Concluded.
Wetted area, sq ft
(a) T = bo.
Figure 33.- Variation of load with wetted area. Model m-H.
112 NACA RM L9L20
Wetted area, sq ft
(b) T = 8O.
Figure 33.- Continued.
5
c
Wetted area, sq ft
( C ) T = 1s.
c Figure 33.- Continued.
114 RACA RM L9L20
Wetted mea, sq f t
(dl T = 16'.
Figure 33.- Continued.
Wetted area, sq ft
(e) T = W . Figure 33.- Concluded.
116 mACA RM L9L20
. . ”
Wetted area, sq f t
Figure 3. - Continued. (b) 7 = So.
NACA RM LgL20
.
..
. 10 15 .23 ( c ) 7 = 120.
Wetted area, sq ft
Figure 34.- Continued.
EACA RM L@20 119
7
3
c
Wetted area, sq f t
Figure 3.- Continued. (d) 7 = 160.
I
120 NACA RM L@x)
Wetted area, sq f t
Figure 9.- Concluded. (e ) T = 2Do.
. ..
. ..
EA.CA RM L9L20 121
r Wetted area, sq f t (a) T = 40.
Figure 35.- Variation of moment with wetted area. Model m H .
122 NACA RM LS20
Wetted area, sq ft
Figure 35. - Continued. ( C ) T = 120.
124 I i RACA RM L9L20
Wetted area, sq ft
Figure 5.- Continued. (d) T = 16O.
.. .
Wetted area, sq ft
Figure 3.- Concluded. (e) T = 2DO.
126
* 6 4
0 I
NACA RM LgL20
10 15 *a Wetted area, sq f t
Figure 3.- Variation of draft with wetted area. Model m H .
NACA RM L9L20
Wetted area, sq ft
(b) T = So.
Figure 3.- Continued.
0 10 15 .a3 Wetted area, sq ft
t t 35
Figure 3.- Continued.
NACA RM L9L20
Wetted area, sq ft
(d) 7 = 16O.
Figure 36. - Continued.
Wetted area, sq ft
( e ) T = 2Do.
Figure 36. - Concluded.
NACA RM L9LxI
.. .
28
P
4
C 05 .10 15 .a .a -35
-L Netted area, sq ft
(a> T = bo. -
Figure 37.- Variation of load with wetted area. Model 2505.
Wetted area, sq f t
(b) T = 8'.
Figure 37. - Continued.
NACA RM ~ 9 ~ 2 0
NACA RM L9L20
12
8
4
0
Wetted area, sq ft
(c) T - 120. Figure 3.- Continued.
T c t.
NACA m ~ 9 ~ 2 0
Wetted area, sq ft
(dl T = 160.
Figure 37. - Continued.
NACA RM L9L20 135
8
4
0
Wetted area, sq ft
(e) p * P O .
Figure 37.- Concluded.
136 NACA RM L9L20
L
L
i c
L
t
NACA €84 LgLm 139
Wetted area, sq ft
Figure 3.- Continued. (dl T = 16O.
NACA RM L9Lx)
15 a P
Wetted area, sq ft (e> T - B O .
Figure 3.- Concluded.
NACARMLgL20 , 141
. c
6
4
2
ITACA RM L9L20
L
.
0 10 15 * a 3 * 3 5
Wetted area, sq f t (b) 7 = 8'.
Figure 3. - Continued. c
NACA RM LS20 c 143
Wetted area, sq ft (c) 7 - 120.
Figure 3.- Continued.
e RACA RM LgL20
Wetted area, sq ft (dl T = 16O.
Figure 3.- Continued.
c
Wetted area, sq ft (e ) t = 230.
Figure 39.- Concluded.
NACA RM LgL20
Wetted area, sq f t
(a) T - 40. Figure 40.- Variation of draft with wetted area. Model m.
. a
NACA RM LgL20 147
Wetted area, sq it
(b) 7 = 8'.
Fiwre 40.- Continued.
Wetted area, sq ft
(C ) T = @,
Figure W,- Continued.
NACA RM ~ 9 ~ 2 0
NACA RM LgL20 1.49
Wetted are8, sq ft
(d) T. = 16'.
Figure 40.- Continued. . .
NACA RM L9L20
Wetted area, sq ft
(e) T - 200.
Figure 40. - Concluded.
4’ I . .
i
