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fl1CIDENCE 'FECTS ON A STATIC HCVCPAFT by

A.J. 1exaxerX

This work was carried out by Dr Alexander while at Ship Division

as a consultant. The model and rig used were built by Ship Division

for research under contract to the Ministry of Aviation.

SU1ARY

Experiments have been carried out on a static, circular, annular jet Hovercraft model in order to measure the changes in lift and/or power requirements associated with a change of incidence relative to the

surface beneath the craft. The fan power needed to maintain a given

lift at constant hover height increases with incidence, the power

incremant being roughly proportional to incidence,.

The overall lift force measured on a strain gauge balance was much

less than the lift obtained by integrating lower surface static pressures but this fference was accounted for mainly by the dilrerence in rate.

of moment flux between the inlet to the model ar

the jet exit.

The remainder was due to jet induced suctiais (negative lift) acting on tire model lower surface outboard of the jet.

The balance measured drag force was approximately 1C greater than

the component of the balance lift, Lift sin a. This difference was due

(i) to peripheral changes in jet thrust with the model at incidence producing a small horizontal (effective) drag component and (ii) to peripheral changes in tlre jet induced suctions on the lower surface outboard tire jet contributing to the drag.

Pitching moments were calculated from the lower-surface static

pressures and show that the model is stable for t/h = -1/3 and unsthble

for /h = 1/6 in the range of incidence 00 - 6°

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1. Introduction

The development of Hovercraft has proceeded with great rapidity

since the basic ideas were first conceived some ten years ago and today large and sophisticated Hovercraft are available commercially. Fundamental research in this new field, however, has not kept pace with development and it is unfortunately true tlBt comparatively little

is known about the aerodynamics and. hydrodynamics of these vehicles. Hovereraft research was first undertaken in Ship Division, NPL in 1961 and a series ' tests was carried out with a circular, annular

jet model, ref.1, to provide much-needed information on the mechanism of wave-resistance. The presmit static rig tests were designed to

provide further information on the behaviour or hovercraft when they

are not trimmed parallel to the surface underneath.

Modifications were made to the lower surface of the model, see

section 2, to enable static pressures to be measured and the lower surface contribution to lift and pitching-moment to be calculated Overall lift and drag were measured separately on a strain-gauge

balance.

In ref..1 it is shown that with a Hovercraft it is not possible to escape wave drag penalties by trimming the craft level and. that extra

lift power may be necessary to maintain hoverheight at forward speed.

over water, at least up to hump speed.

In this condition extra jet

thrust is necessary to maintain equilibrium in the cushion. An estimate of the extra power required can be obtained from static tests at

incidence over a ground board and this was the main object nf the investigation. In addition, the overall lift and drag were

divided into their various components and some assessment of static

stability obtained using the pitching moments calculated from the lower surface pressure distribution.

From the limited amount of information available it appears tlm.t

single annular jet machines are stable at low hoverheights for a small

range nf incidence beyond which the downgoing jet splits and a cross-flow

is set up which rcsults in instability.

The cross-flow can be prevented

and the instability cured by either a twin-jet system as in S.R.N,I, or

by longitudinal and transverse jets which compartment the cushion.

More recently the tendency has been to use flexible stability curtains

or to dispense with compartmentation altogether for the very low

effective hoverheights obtained with fledble sidewalls However, since

these systems are the result of development work rather than research and do not necessarily represent the optimum it is possible that a better

understanding of the mechanism of instability would produce a more

efficient system.

2 Apparatus

The basic model is a circular, single annular jet model or 3

ft.

diameter and is adequately described in ref. 1. As originally designed

it was only possible to measure the integrated pressure on the bottom surface and this was not adequate for the proposed tests over a fixed

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ground. It was desirable to be able to measure static pressures at all points on the bottom of the model andfor this purpose a false bottom was designed which consisted or a circular sheet of 0.080 in. dural, 35j- in. diameter, having a row of 19 static pressure holes along one

diameter. Since it was difficult to move either the model or the false bottom and it was desirable to obtain a complete lower surface pressure distribution with the model at various angles of incidence, a false

floor was also constructed which iabled the effective incidence of the model to be changed by tilting the floor and the complete pressure distribution obtained by rotating the floor relative to the fixed line of pressure holes.

This compromise solution enabled the work to be carried. out in the

short time available but bad two main disadvantages: (i) no pressure plotting holes were available on the false floor and. although the

velocities and pressures could be measured on the model it would be

difficult to describe flow patterns from data obtained on one boundary only and (ii) since the pressure plotting holes were fixed relative to the model any serious variations in slot width or jet thrust could affect the results although from the available evidence ref,2 and

section 3 it seems that this effect is likely to be

all,

The traversing pitot-static, ref,1, was used to measure total head

and static pressure in the jet,

All pressures were measured on a

36 tube tilting M.T.M. using alcohol as the gauging liqui&

3, Experimental results

The experimental work was divided into three

parts:-(i) Measurement of lower surface static pressures for the following cases: h

ij in.

a = o0i0s20302f0]

PC ,1,1- in.water and = 135°,180°,225° h 3 in, a = 0°,2°,4°,6°

and. 270°.

(2) Measurement of overall lift and drag on the balance with the model

tilted for the following cases:

h = 1 in. a = 00,10,20,30,20,50 _)

h = 3 in. a = 00,10,20,30,2f0,50,603 Pc0

*11 inwater.

() Measurement of jet total head. and. static pressure for the following cases:

h = ij in.

a = 0°, p 4-5° pc0 = in,water.

h 3 in. a = 0°, = 0,45,135,180,225,315°, pe0 = -,1,1- in.water, h = 3 in. a = 30,60, p = 0,180°, pc0 = in. water,

(4)

Values of lift and pitching-moment were calculated from the lower

surface pressure distributions for the cases in (i) above. These results are plotted against incidence in fig. Ia with the lift given directly

and the pitching moments converted to C,P, shifts,

Maximum lift was obtained at zero incidence in these tests with a steady fall-off in lift as incidence increased. The fact that the incidence range is negative is purely one of convention and has no particular significance. Maximum lift reduction for h 1

in. at

.-4° was about 1O3 and far h = 3 in, a. -6°

was about I.

The upper graph, fig.lb, shows the C.P. shift for the cases

h = 1- in. and h

= 3 in, Readings taken at three blowing pressures

for each case fall reasonably close to the mean lines. The model is

stable at h = 1- in. thraighout the incidence range and is unstable at

h 3 in, The apparent C.P. shifts at a. = 0° are thought to be due to errors in setting the grcund plate, which was slightly dish-shaped,

but are not likely to affect the overall results.

In fig, 2 the stability of the NPL circular model is compared with

experimental data from ref 4 The only other circular model results

available had vertical jets and large clearances where the configuration is unstable but tests on an elongated shape with semi-circular ends, pitching about its major axis and. having the jet inclined inwards at 45°,

show moderate agreement.

Following the procedure adopted in ref .2, the valueof pc0 was

maintained constant as incidence was increased, The horse-power required

for each condition was calculated from average values of total head. and

static pressure in the duct. Actual model values are plotted in fig3a and show veiy little change so that constant pc0 corresponds

approximately to constant fan power. This is in broad agreement with

ref.1, which predicts a lift reduction as incidence is increased while

fan-power and hover height remain constant

Simple momentum and energy considerations lead to the relation

I . 2

Curtain area (PC)

i + x

H.P.

--

x x

1100 where ii is an efficiency.

If for the incidence case we take

pressure lift

=

---

we have plan area Pc H.P. I

1+x

K

7ressure lift'\2

1100 r

(Curtain area) plan area

(5)

5

Values cf K are plotted in fig.3b using the results from figs,la and 3a and are compared with the theoretical values. At a.

O

the efficiency is about 60% but this includes losses in the model. There is some scatter in the points and the best straight line has been drawn through

them, The sl.oDe af tI lines has been plotted against Wt in

fig,3c.

For perfonnance calculations a suggested formula is

H.P. I

i+xf

ÔK

I f'2ressure lift\2 11.00 x2 L aa

--

(Curtain Area)

plan area

where is obtained from fig.3c. ôa

One result obtained in the NPL Tank tests with the model at 0' trim,

h = 1- in, velocity 5.5 ft/sec PC 675 in (3.5mq ft) gave the

mean angle of the water surface as 40 and the corresponding power increment

as 0.017 H.P.

An estimate from the formula alone gives the power increment as. 0,0302 H.P. Allowing for the 60% efficiency this gives 0.018 H,P, which

is surprisingly good,

Fig..4 shows the overall lift as measured by the strain gauge balance.

There is some scatter in the results and mean curves have been drawn, The tendency for lift to fall as incidence is increased is clearly shown and follows the trend obtained with the lower surface pressure lifts, fig,..la. The absolute values of lift, however, are much lower than those of fig.la. The flagged symbols were obtained at +3° and agree reascnably well with

those at 3° except for the case h = 1- in, Pco = 1 in Possible

scatter appears to be about ±1 lb. The lift as measured by the balance is made up of four parts:

LBalance =Llower surface +

0cos45°-1L

' lower surface

Duct) (

(between jets) (jet) 'outboard af jets)

Duct rate of momentum flux was calculated using average pressure measurements obtained from the duct pitot rake for two positions at right angles, Jet momentum flux was calculated from pitot and static traverses of the jet at

six positions 3 = O 45°, 135°, 180°, 225°, 315°. It was not possible to traverse at = 90° and 270° because the static tubes were brought out at these points. The negative lift due to suctions on the lower surface outboard of the jets caused by jet entrainment was measured approximately with a small static tube placed on the surface, Maximum down load was

1 lb for pc0 1. in.

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--In fig,5 - cos 450 (change of vertical jet thrust (p + p12)A from inlet to outlet through model) is plotted against undersurface pressure lift for a. = 00 and h = 1- in. and 3 in, Also shown is the negative lift LR due to suctions on lower surface outboard

of jet.

In fig.6 the difference between lower surface pressure lift and

overall,liftis plotted against undersurface pressure lift and. cpared

with (M1 - M cos 45° + LR) from fig.5. For

h = 1- in. the lift is

completely accounted far, within the experimental error, but for h = 3 in.. there is a discrepancy of I

- 2 lbs.

The reason for this error is not clear but it should be noted that in fig.4. the balance readings at a. = 00 are not always consistent with readings at largerincidence, This may

account for the discrepancy. In general it would appear that the difference between overall and lower surface lift has been accounted far satisfactorily.

The balance measurements at incidence also give the drag and. this

is plotted in fig.7

as lift x sina against measured drag. Although there is a fair amount of scatter most of the points lie near the mean

experimental line which shcws a drag approximately 1( higher than

lift sin a..

Part of this difference is accounted, for by the change in jet thrust due to differential change in height as the model tilts, Traverses of the jet at 1 = 0° and 180° (Bow and stern) were made for

h = 3 in, a. 3°, P0 = - in, I in, 1- in. and the additional drag

force due to the jet out-of-balance is' plotted against total drag in fig.8., This accounts for 40% of the difference between lift sin a and measured drag.

The forces due to induced sucticris on the lower surface outboard of the jet also have a horizontal component and, due to peripheral variations in the jet when the model is tilted, produce an additional drag force, This was measured approximately, as for the lift, with a surface static tube and. produces a drag equal to the jet out-of-balance

drag.

Thus af a difference of 0.32 lbs between lift sin a. and drag at

a. = 6°, Pco

l- in,

0.26 lbs is accounted for, The remaining 0.06 lbs

represents only of the total drag.

Measured total drag = measured total lift sin a. + Jet out-of-balance drag + drag due to jet induced surface suctions,

4-. Conclusions

Very little data are available on the effect of incidence on

Hovercra.ft and appear to be concerned mainly vith overall effects. The

purpose of these tests was to investigate the problem in a little more detail, as it relates to a circular, single anruiaa' jet model. The conclusions drawn are thought to be valid fairly generally although greater accuracy of some of the results is desirable. A two-dimensional rig is better suited to this fundamental work and would provide mare accurate results and a better comparison with theory, bearing in mind

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7

The results can be divided into two parts:

Power requirements

As incidence is increased a Hovercraft will either lose height if fan power is kept constant or alternatively will need extra power to maintain height, this being a direct result of a change in the pressure

equilibrium of the cushion. This theoretical result by Hogben, ref.1,

is confirmed and the non-dimensional power required is shown in fig.3b. The extra power required increases both with incidence and height.

From an analysis of the results a correction is suggested which enables the effect of incidence to be takn into account in the standard formula for calculating lift power. Comparison with one result obtained in tank tests with this model shows good agreement.

Breakdown of measured overall lift and drag into components

In this particular model the air is supplied from an external source which is separated from the model by a small air gap. The thrust of the air entering the model produces, effectively, a negative lift making the measured overall lift much less than the lower surface cushion plus

annular jet lift.

There is also a small negative lift produced by the entrainment effect of the annular jet on the downward facing surfaces outboard of the jet.

Measured lift = lower surface pressure lift + direct lift from

annular jet - inlet thrust fr an external source - jet induced negative lift from surfaces

outside annular jet.

Agreement is very good at h = 1 in, with discrepancies of up to

io at h = 3 in. probably due to inaccuracies in the strain gauge balance

readings.

With the model at incidence the model experiences a drag force due

to the tilting of the lift vector (L sin a.).

Measured values of the drag

were some 1C greater than L sin a. and were mostly accounted far by slight changes in jet thrust as one side of the model neared the ground plus a corresponding change in the jet indiced suctions outboard of the jet.

Measured drag Measured. lift x sin a. + small peripheral change

in jet strength + associated peripheral change in jet induced suctions outboard of jet.

5. Acknowledgments

The work described in this report was carried out in the period

20th July - 14th August 1964 while the aithor was a Vacation Consultant in Ship Division. Acknowledgment is made to the DSIR for the opportunity

to undertake this research and to the Ministry of Aviation for permission to use the model and rig, In addition the author wishes to express his appreciation for all the help received in particular to Dr. N. Hogben

and. Mr. J.T. Everest for many helpful discussions and to Mr. EJ. Neville

and Mr. H.R. Sayer for their assistance with the experiment work and

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6. References

Author Title

HOBEN, N. n Investigation of Hovercraft Wavemaking. Ship Hydro. Lab. NPL report.

HOGBEN, N, Static rig pressure and airflow measurements on a circular Hovercraft model.

Ship Divn Tech.Mem. No.21. Nov. 1962.

EVERT, JT. Unpublished, note on pitching moment measurements.

Princeton Symposium on Grcund Effect Phenomena

LIST OF SYMBOLS

h height of model centre line above ground board

p0 cushion pressure

reference cushion pressure at centre of model

t jet thickness

t

x (1+cos e)

K

(Curtain :::; (re33.l1ft)2

LR jet induced negative lift on lower surfaces outboard of jet

rate of momentum flux entering model

rate of momentum flux leaving model

jet efficiency

e jet angle, irsvard from vertical

p air density

(9)

60

I I

0

1-50 III +

h=i

c.=li

x hi pf

i3' Ico*l

® h3'

c.'1

h=1-

co2

(I,

h=31

VARATON OF LOWER SURFACE PRESSURE LIFT

AND CORRESPONDING CP SHIFT WITH INCIDENCE

FIG. L 30

20-N.B. FALS( ZERO 10 I I

(10)

C

I

a-0

8 6 4 2

*

NWAR FROM VER11CAL

SYMBOL' REF hID

e *

MODEL SHAPE

+

O04?

450 CIRCULAR)

0 083 45'

CIRCULAR j1 N.P.L X 4,P94 O°IS

0'

CIRCULAR

A

0.30

00 CIRCULAR

4,p43 05O

4501 1IIJ

o

o 10

J

H

EQUIVALN DIAM LUSED FOR hID

-4

-2 0 2 4 6

(11)

O'2.-0

(12)

0.003 Lu U' 2 a-0.00015 000010 O0005

h-3

hi

o,0oI-0 -2 3 o 4

COMPARISON OF THEORETICAL AND MEASURED

POWER REQUIREMENTS

FiG 3C

3 5 6

VARIATION OF WITH

(13)

-40

w U

2

60 50 20 10 qi +

hm1

h 3 1 'C

h=1

h= 3°

h I

0

h 3

_

12 i2

r

2 2

FIG4

FLAGCD VALUES OBTAII'JED

4'

ATo(+3°

(14)

6 2 10 -,

J

w Li.

-j

4 U) w 0

2

0

O0'

I. h

DUE -to SUCO

ON L0NER UFT SURFACE OUTBOARD OF

JT

-

1D 45°+ L) 0 10 20 30 40 50

UNDERSURFACE PRESSURE UPT (tb)

60

FIG6

60 50

20 30 40

(15)

3.5

30

2 S 2.0 1.0 0 FLAGGED VALUES OBTAIN.O AT O(=+ FIG7 FIG. 8. 05 1.5 2.0 25 30 3.S MEASURED DRAG (Ib')

VARIATION OF DRAG WITH LiFT

20

S 30 3.5

DRAG (Ib)

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