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Engineering Journal, 42, 11, pp. 55-60, 1959-12-01

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Ser

TiIl

l

N21t2

NATIONAL RESEARCH COUNCIL

CANADA

DIVISION OF BUILDING RESEARCH

l t

FRAZIL ICE

A Reuiew of its Properties with a Selected

Bibliography

by

G. P. Williams

Ati Ai--t'i;i)

REPRINTED FROM

THE ENGINEERING IOURNAL

voL. 42, NO. tt, NOVEMBER 1959, p.55-60

"':'iifioti?1'n

FEB

r 1960

TECHNICAL PAPER NO. 8T

OF THE

DIVISION OF BUILDING RESEARCH

OTTAWA

DECEMRER T959

PRICE IO CENTS

(3)

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jlililrl

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FRAZIL ICE

A Reuiew

"f

its Properties.

With a Selected Bibliography

G. P. Williams

Research Officer,

Snow and Ice Section, Dioisi,on of Bui'ldi'ng Research,

National Research Council, Ottawa 2, Ont'

This report reviews the theory of frazil ice formation and the main factors which cause- formations. The methods of forecasting ftazil ice and the design and remedial considerations are also included. Although the frazil ice problem has been solved at many sites in Canada, this _review summarizes investigations which would not generally be available to Canadian engineers.

Tf-f HENEVER supercooled water

l [ /

vY rn reservolrs, lakes or rivers

comes in contact with hyd,ro-electric

plant intakes, lvater supply intakes,

ilrigation and water supply canals,

there is a danger of serious clogging

because of fuazil ice. Frazil ice

oc-curring in large rivers is a

naviga-tional hazard and can be the cause

of serious ice jams. In Canada the

work of Barnesl is the first major

effort to present detailed summaries

of available information on frazil ice

formation and occurrence. Since then

many investigations have been

car-ried out, notably in Russia and other

European countries. As no

publica-tion is available in English,

appar-ently, which summarizes these more

recent developments, this survey of

existing information on frazil ice has

been prepared, accompanied by a

number of selected references.

Theory of Formation

Ice is formed on the calm water

of small lakes and stagnant pools

when the loss of heat to the

atmos-phere by radiation, convection and

evaporation results in the

supercool-ing of the surface water. In this

static type of ice formation described

by Devik2 the crystallization begins

partly from solid matter on the beach

and from solid material suspended

or floating in the water. If the water

remains at rest and the cooling

con-tinues. a surface sheet of ice ii

rap-idly formed.

With dynamic ice formation as in

running water or on the surface of

lake water disturbed bv wind.

sur-face water exposed to the heat loss

will be interchanged with water from

lower depths so that a mass of water

down to different depths, depending

on the degree of turbulence, will be

cooled to 0"C without ice formation.

If the cooling continues the water

near the surface will be supercooled

a few hundredths of a degree

(Alt-berg3). At a certain stage in this

supercooling, frazil ice particles will

start to form.

In their early development, frazil

ice particles are thin ,circular discs.

Frequently,

the particles are of

ir-regular outline but the edges are

in-variably rounded as shown in the

ex-cellent photographs by Schaefera. As

growth proceeds, however, flat

den-drites grow out from the edge of the

flat discs, eventually producing the

needle-like fragments commonly

rec-ognized as frazil ice. Under favourable

cooling,conditions these fragments

rapidly form and group into the large

spongy masses that cause so much

trouble on underwater

installations.

Figure I illustrates the different stages

in frazil ice formation. Figure 2 shows

some micro photographs of frazil ice

in different stages of growth.

A similar type of formation occurs

in lake water when supercooling

co-inciding with stlong wave-action

re-sults in

agglomeration

(Wilson5).

Even though the general nature of

flazil ice folmation has been known

fol a long time there is still

argu-rnent and confusion in the literature

Fig. I Stages in frazil ice formation.

S U R F A C E C O O L I N G F U R T H E R C O O L I N G C O O L I N G C O N T I N U E S o O S T A G E I o o o H I G H C O N C E N T R A T I O N O F C I R C U L A R D I S C O I D S T O R M f D S T A G E 4 C O O L I N G C O N T I N U E S U S T E R S O F F R A Z l L N E E D L E . L i K E D E N D R I T E S G R O C E N E E D L E S C L U S T E R I N G T O -G E T I I E R T U R B U L E N T [ , l I X I N G I C E C O N G L O M E R A T E F L O A T I N G T O S U R f A C E A N D B I ] I I - [ ] N G ( J P O N I ] N D E R W A T E R O B J E C T S O U T F R O I I D I S C O I D S

(5)

floating changing shape Frazil ice particles growing and chang-Frazil ice particles

surface.

on water Frazil ice particles water surface.

regarding the phenomenon

(Timon-offo, LamborT).

Supercooling atTd Nucleation.

In-vestigators seem to agree that

super-cooled water often exists in streams for

long periods -

even for days under

favourable conditions8. There is

ar.-gument,

however,

regarding

the

amount of supercooling, although it

is generally assumed that it will rarely

exceed .01"C in natural streams and

lakes (Schaefera). The theory of

super'-cooUng is still a matter of some

disagreement. Dorseye indicates that

there are two theolies to explain the

freezing of water and the

phenome-non of supercooling. In one,

freez-ing is considered to be initiated by

certain aggregates of water molecules

called ice molecules. The other theorv

considers

freezing

to

begin

ut

heterogeneous singularities, i.e.,

for-eign particles in the water which

serve as nuclei. Dorsey combines

ele-ments of both theories. He

distin-guishes between an embryo comprised

of water molecules only, and a

com-plex embryo with a foreign par.ticle

as a centre to which molecules of

water adhere.

Altberg3 believes that crystals do

not form in absolutely pure liquid

but only upon dust particles

sus-pended in the liquid. He concludes

that the ability of a liquid to

crystal-lize depends upon the number of

nu-cleating centres per unit volume.

Piotrovichlo in a more recent studv.

points out that in water with only-a

few hundredths o[ a degree of

super.-cooling, all ordinary inclusions are

inactive as crystallizing agents.

Kumai and Itagakil2 in their

cin-erntrtoglaphic study of ice r:r.ystal

formation in water conclude that the

rate of growth of discoids (or frazil

ice particles) is a function of the rate

of cooling of the water and the

number of discoids. Their

photo-graphs show clearly the development

of circulal discoids into stellar

crys-tals. Their studies show that with

supercooling from 0"C to -0.3"C,

discoids and spicules are produced,

and from -0.6'C

to -0.9"C

spicules

only are produced.

Much of the work done in recent

years on the physics of supercooled

water droplets in the atmosphere is

of relevant interest to investiqators

of flazil ice (SchaeferrB).

Frazil lce Properties. The frazil ice

discoids vary in size. Schaefera

ob-serves particles with a range of

thick-ness 25 to 100 microns for particles

1000 to 5000 microns in diameter.

Hubbardla reports thickness almost

identical

to

those

reported

by

Schaefer. Altberg3 ,claims that

dis-coids up to several centimetres in

diameter could be grown artificially.

Baylis and Gersteinl5 have observed

particles that grow rapidly from Ya-in.

diameter up to 4 in. in diameter and

l/32 in. thick.

The buoyancy of frazil ice

parti-cles is of particular practical interest.

When the stream flow is not

ex-tremely turbulent, frazil particles

re-main submerged and do not appear

to collect at the surface. Barnes

at-tempts to explain this phenomenon

in terms of viscosity and Stoke's

Law8. Schaefera suggests that the

large ratio of major to minor axis

and the small difference in specific

gravity between jce and water cause

the palticles to tumble about within

Fig. 2 Micro photographs of frazil ice in different stages of growth.

ing pattern at water surface.

the stream much the same as

water-soaked leaves are carried underwater

in a turbulent stream.

Schaefera estimates that the

vol-ume concentration of frazil ice

ao-proaches 106 per cubic meter in h]is

observations of frazil ice on the

Mo-hawk river in 1950. Frazil ice

parti-cles will adhere to each other and

also build up on underwater objects

causing many problems. According

to Piotrovichlo, when water is

super-cooled there is a strong increase

in the cohesion forces between ice

crystals and in the adhesion of ice

crystals with stones, wood, metal and

other objects in the water. Schaefer

suggests that the laminar type of

build-up indicates regelation between

these ice particles.

Piotrovich also suggests that, as

ice does not adhere strongly to

cer-tain substances as plastics of purely

organic composition, these may be

used as coatings to protect against

underwater ice accumulations.

Ac-cording to Murphyl6

waterwheels

protected by wooden racks are better

able to withstand frazil attacks than

those protected by iron racks,

indi-cating a difference in the ability to

cohere between these two materials

and ice.

One point that should be stressed

is that ice will not adhere to obiects

that are slightly above 32'F. This

is why the heating of underwater gate

racks has often been successful in

reducing frazil ice accumulation.

Gale17 observes that freshly formed

frazil ice is "very sticky" and much

more difficult

to handle than frazil

rvhich has passed under surface ice

and has not been subject to such

(6)

str.ong

,.cooling. This suggests tha

even slight increases in t..""*p"."iur.

may reduce considerably th" ;jh;;;;

ability of fr.azil ice.

#",H'"#i";;:f #i"l'" or coorins

ffi*T[if**'."

fi,'"'',:un*

*o-:,

Fig' 3 Factors that affect the rate of cooling of a section

of river water.

The st. Lr

AMr oF FALLTNG

sNow oR RA'N

v' s oau(rvrt

ur nver wat(

contain

""

tl::ffi"f"i$il*tt:?t"rt":

\ \ \ \ \ \ \ \ f o r m r f i n - i n - : , , ^ * ^ r . r .

*ateR ,rou.t-.*t \L,

--ff--.|d

losses

from u *"t", r;,f;;;:"j"#

\\\\\\\.\\

ormation in rivers. I" ;;

.""i],

Q rn,

'ittJt\t,

AMouNr

oF |

\\\,.\[.,\

coNvEcrlvE cooLlNG

the rate of co-oling

ttr"t

"""

#";

. -:"''

"

I

ur\rJ\\

,/

pected from the differerrce f;;;,

aear caRRreo\ ri,ii,rtr

/

lNTo sec1oru\ ).p[

/

>- EvAPORATTvE

cooltNc

Sean

air temperature

u.td_

-eun *"t"r

DE.REE

o,',,",,.,".u

i#";r'J.r,:l:i"l'+tilltilti

:",Jfii"T;ll

Jlft,;

A M O U N T O F F L O A T I N G I C E A M O U I J T O F

(7)

river waier to cool to freezing

tern-perature, provided the mean air

tem-perature is known or can be predicted.

It must be appreciated that these

formulae are necessarily very

simpli-fied presentations of a most complex

situation. From the theory it is

diffi-cult to see how the wind velocity

terms can be ignored in any formula.

It is apparent from Fig. 3 that there

are a large number of variables not

included

in these formulae

which

might have important effects on the

rate of cooling of river water,

Baylis and Gersteinls state that,

"frazil ice formed under a wide

var-iety of wind and air temperature

conditions". Ruths2? mentions that,

"with

air temperatures as low as

-25"C

or -30"C

and no wind.

frazil ice will not always appear owing

to the presence of a heat insulating

layer of moisture saturated air on

top of the water which rvill prevent

the cold air from cooling the

sur-face water to the critical

tempera-fure".

It also should be stressed that

frazil ice is often produced a

con-siderable distance upstream from the

sections of the river under study;

these geographical factors cannot be

ignored in any study. Murphyro, ttt

1909

suggested that

very

large

amounts of frazil ice develop in Lake

Deschenes, 3 to 4 miles upstream

from the rapids near the Hull power

plants on the Ottawa river.

These complications do not mean

that a practical means of predicting

the rate of cooling, and hence of

frazil ice formation, cannot be found.

They do imply that site conditions

must be taken into consideration.

Standingzs gives some practical rules

used at a particular plant for

fore-casting frazil ice as much as 12 hours

in advance. On a longer-term basis

Wardlaw2e

calculates

the

mean

monthly heat losses from a water

surface under winter conditions and

obtains reasonable agreement with

other calculated values for heat losses

from open-water surfaces.

Forecasting Frazil Ice from Water

Temperature Measurements

In some plants it is common

prac-tice to keep a record of water

tem-perature. Whenever the water

temper-ature is near 32'F' and severe wind

or temperature conditions are

experi-enced, fi'azil ice formations may be

expected.

Granbois3o reports a method of

precise water temperature

measure-ments with

an electric resistance

thermometer and recorder. With his

apparatus he was successful in

meas-uring the rate of temperature change

of river water and relating it to frazil

ice formations. His studies indicate

that frazil occurs only when the rate

of temperature change is greater than

0.01'C/hr between temperatures of

0.1"C and 0'C.

At

temperatule

changes less than 0.01'C/hr a natural

ice sheet is formed. Granbois in his

paper gives a fairly complete

des-cription of the resistance thermometer

bulb, bridge and recorder which he

used.

Anyone

contemplating

the field

measurement of river water

temoera-ture near 32"F, however, *rrri b"

prepared for some problems. Perhaps

the main difficulty to be overcome is

that as soon as water falls below

0'C, ice begins to form on the

tem-perature indicator.. The only

tempera-ture then recorded is the freezins

point, even though there may bc

supercooling present. Glanbois

over-came this by removing the detector

bulb after each successive run and

melting the ice from the indicator in

preparation for the next run.

Devik2 measures the amount of

supercooling of the surface layer of

water

with

a "moll"

thermooile.

Special precautions were taken

re-garding radiation effects, including

the taking of measurements just

be-fore sunrise. Nybrant3l points out

some of the problems of measuring

water temperatures under field

con-ditions. He indicated that sensitive

galvanometers are difficult to use and

that it is necessary to keep a

measur-ing bridge at constant temperature

and to check its calibration freouentlv.

One must also consider the stabiliiy

of the temperature sensing elements

and

check their

calibration

fle-quently.

Although

the work of Gr.anbois

indicates that it is possible to measure

river water at temperatures around

0'C to the necessary accuracy for

frazil ice predictions at a particular

site, special precautions and

equip-ment are required which are usually

not readily available for field

installa-tions.

Design Considerations

Although it is not the purpose

of this review to go into detail

re-garding the design of canals, hydro

intakes and racks for ice conditions,

some general comments on design are

included in order to complete this

general revjew.

In 1919, Wilsonle stated that

hy-dro plants could be designed to be

practically immune from ice troubles.

Some of the standard textbooks on

hydro-electric design (Creager and

Justins2) give general consideration

to the design of hydlo plants to

mini-mize frazil ice conditions.

Loughlandza gives some general

instructions for the desisn,of sluices

and canals. including the suggestion

that covering the flume will prevent

snow from falling into the canal,

thus reducing the rate at which the

water cools. Carpenterss indicates

that by coveling a flume and

pro-viding an additional supply of

stor-age water the frazil ice problem at

the Barriere Hydro Plant in British

Columbia could be overcome.

In addition to the usual procedure

of carefully surveying existing river

conditions, ensuring proper approach

conditions and locatins the racks at

a sufficient dcpth, metebrological

fac-tors should not be neglected. For

example, care should be taken in

determining the prevailing wind

di-rection, for if it prevails towards the

intake channel large quantities of

ice will be for,ced into the channel.

Even the direction of the wind

rela-tive to the flow of the river has a

varying effect on frazil ice

produc-tion. A wind blowing upstream

pro-duces more frazil than one blowing

downstream because of increased

surface agitation (Hendry3a).

Once a rivel or canal is frozen

over the rate of cooling is greatly

redu,ced by the ice cover and the

danger of large fraziT ice formations

is usually' eliminated. For this reason

considerable study has been made

of the r,r'ater velocities at which

canals or livers will freeze. The

fac-tors affecting the formation of ice

covers on rivers or canals are

gener-ally the same as those which

-affect

the rate of cooling of a river or canal

as shown in Fig. 3.

The St. Lawrence Waterway

Pro-ject25 gives some practical

informa-tion on the relainforma-tion between water

velocities and ice formation. Because

velocity and turbulence of water are

only two factors which will affect

the formation of ice cover it is not

possible to give limiting velocities

which will apply in every case. In

its report the Joint Board of

Engi-neers came to the general conclusion

that "smooth ice covers may be

ex-pected to form in rivers with

veloci-ties up to 1.25 ft/sec in zero weather

providing there is no high wind

pre-venting such action".

A comrhittee of the Power. Division

of the A.S.C.E. investigated ice as

jt affects porvel plants and published

a special report (Shenehon35). In

(8)

ad-dition to a bibliography on the

sub-ject, they give much information of

use to design engineers. Some of the

effects of ice on stream flow are of

special interest to engineers

design-ing canals or modifydesign-ing river

chan-nels under

conditions (36' 37'

3 8 , 3 9 , 4 0 , 4 1 ) .

Remedial Action

For established power plants and

hydraulic works, it is often possible

to prevent the formation of frazil

ice by electrical heating. Reida2 gives

some details of the heatinA of

rack-bars in hydro-electric planis,

includ-ing a formula for calculatinclud-ing the

power required. He emphasizes that

electric heating is of particular value

in locations where frazil ice develops

quickly and is not of Iong duration.

Ruths2? gives a table of electricai

values, including the power required,

used in heating racks at several power

houses in Norway. A report by the

subcommittee of the Hydraulic Power

Committee for the Canadian

Elec-trical Associationa3 gives some details

of the electrical

"trergy

utilized by

different companies in Canada

for-keeping sluice gates free of ice.

Var-ious other references are availabie,

indicating that formations of frazil

ice have been successfully combatteC

bY electrical heating++' l5' +0.

Steam heat has also been used for

preventing

ftazil

ice

formationa3.

DolionaT relates some of the

difficul-ties connected with preventing

ac-cumulations of frazil ice with steam

at a pump intake.

Compressed air jets or air-bubbling

systems to prevent ice formation have

been applied for many years. Air

bubbling systems depend on the fact

that warm water below the surfa,ce

can be brought to the surface by

the rising air bubbles and so used to

prevent frazil ice at specific locations.

Skerretta8 in 1923 described how

jets of compressed air were utilized

to prevent ice formation on gates of

hydro-electric plants. In 1935

Sker-rettae gave sorne details of how ice

pressure was prevented by air

bub-bling systems. Other more lecent

papers are given by Owenso,

Sim-monds51, and Granboiss2. Some fairly

complete experiments on preventing

water from freezing by means of

complessed

ail

were

done

by

Kaiterass in 1948.

In addition to heat and air

bub-bling systems other means ale being

used to combat frazil ice formation.

In Switzerland where, because of

climatological and hydrographic

con-ditions. frazil ice ploblems 1ys not

generally severe, mechanical devices

to

clean

out

intakes

are

used

(Han yia).

Murphyl6

reported

in

1909 that frazil ice can be olevented

by creating an artificial balrlier acloss

the stream to start sulface ice

forma-tion.

It has been suggested by Schaefer'{

that the seeding of ponds with dry

ice mieht

hasten ice

formation.

Granboiiso reports limited

success

by seeding river water with dry ice;

the resulting fragile ice sheet was

destroyed as fast as it was formed.

Lavrov55 considers that artificially

increasing the number of

crystalliza-tion nuclei cannot be an effective

counter-rneasule because the

in-tensity of underwater ice formation

depends on heat losses from the

stream, not on crystal number.

A dditional lnformation The SIPRE

biblioglaphy

contains many useful

refelences on frazil ice and relaterd

problems, including a series of

sian abstracts. A few selected

Rus-sian references have been chosen from

these abstracts and are listed as a

Bibliography.

I a Houille Blanche, (Numero 4,

juiilet, aoirt 1950) contains an

excel-lent review of snow and ice technical

terms in French and English. In

ad-dition, this volume contains a general

review of frazil ice problems and

related phenomena.

The Meteorological Abstracts and

Biblioglaphy of the A.M.S. for July

and August 1956, contain an

anno-tated bibliography on the

micromete-orology of snow covers. This would

be of value to anyone studying the

thermal regime at snow and ice

sur-faces.

This paper is a contribution of the

Division of Building Research of the

National Research Council of Canada.

and is published with the approval

of the Director of the Division.

References

1. Barnes, H. T. Ice Engineering; Renouf Publishing Co., Montreal, 1928. 2. Devik, Olaf. Supercooling and Ice

For-mation in Open Waters; International U n i o n o f G e o d e s y a n d G e o p h y s i c s , I n -ternational Association of Scientific Hvdrolosv, 1948. pp. 380-389. 3 A i t b e r e , - W . J . ' f w e n t y Years of Work

in the Domain of Underwater Ice For-mation (1915-1935); International Union of Geodesv and Geophvsics, Internat i o n a l A s s &lInternat; j c i a l i o n o f S c i e n Internat i f i c H y d r o -logy, 1936. pp. 373-407.

4. Schaefer, V. J. The Formation of Frazil and Anchor Ice in CoId Water; Trans. Amer. Geophys. Union, vol. 31, no. 6, December 1950.

5. Wilson. J. T. and others. A Study of l c e o n a n I n l a n d L a k e ; S I P R E R e p o r t no 5, Pt. I, April 1954. 78p.

6 Timonoff, V. E. On the Establishment of a Working Hypothesis of Ice Pheno-mena in Lakes and Rivers; Interna-t i o n a l U n i o n o t G e o d e s y a n d G e o -p h v s i c s . I n t e r n a t i o n a l A s s o c i a t i o n o t S c r e n t i f i c H y d r o l o g y , 1 9 3 6 . p p . 3 6 7 - 3 7 2 . ?. Lanbor, Julian. La-Genese -di: la Gtace

Flottante et son Apparitiou sur les Cours d'Eau de l'Europe Centrale

Appartenant au Bassin Baltique; Inter-nitional Union of Geodesy -anii Geo-p h y s i c s , I n t e r n a t i o n a l A s s o c i a t i o n o f Scientific Hydrology, 1948. pp. 367-379. 8. Ice Formation in Open Water;

Min-nesata U. Engineeriirg Exp. Slation, July 1951. pp 104-107. (In Review of the Propertres of Snolv and Ice, Edited by Homer T. Mantis. SIPRE Report 4 ) . 1 6 r e f s .

9. Dorsey, N. E. The Freezing of Super-Cooled Water; Trans. of Amer. Philos. Society, vol 38, Part 3, Nov. 1948. pp. 245-328.

10. Piotrovich, V. V. Formation of Depth-Ice; Translated from Priroda, vol-. 9. 1956, pp. 94-95, Defence Research Board, D S.I.S. Department of National Defence, Canada. T235R.

11 Arakawa, Kiyoshi. Experimental Stu-dies on Freezing of Water; Interna-tional Union of Geodesy and Geo-physics, International Association of Scientific Hydrology, 1954. pp. 474-4 7 7 .

12. Kumai, M., and K. Itagaki. Cinemato-graphic Study of Ice Crystal Forma-tion in Water; International Union of Geoclesy and Geophysics, International Association of Scienti.tic lrydrology, 1954. pp. 463-467.

13. Schaefer, V. J. The Formation of Ice Crystals in the Laboratory and in the Atmosphere; International Union of Geodesy and Geophysics, International Association of Scientific Hydrology, 1948. pp. 186-209.

14. Hubbard, Fran. When Winter Grips Yosemite; Natural History vol 63, Dec. 1954. pp. 448.-451 (illus.)

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22. Powell, IM. M., and G. L. Clarke. The Reflection and Absorption of Daylight at the Surface of the Ocean; J. of the Optiial Soc. of America, vol. 26, March 1936.

23. Loughland, G. E. Ice Formations in the Main Sierra Canal; Military En-gineer, vol. 16, Nov. - Dec. 1924. pp. 487-490.

24. Atkins, W. R. G. and H. H. Poole. The Photo-Electric Measurement of the Penetration of Lieht of Various Wave-Lengths into thd Sea and the Physiological Bearing of the Results; Trans. Roy. Soc. London (1935). 25. St. Lawrence Waterway Project;

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26. Wemelsfelder, P. J. An Investigation Concerning the Balance of Heat in a River During Violent Frosu Interna-tional Union of Geodesy and Geo-Dhysics, International Association of Scientiftc Hydrology, 1945, pp. 191-197. 27. Ruths, Arvid. Ice Troubles in

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29. Wardlaw, R. L. A Study of Heat Losses from a Water Surface as Re-lated to Winter Navigation; Proceed-ings Eastern Snow Conference, vol. 2. 1953 and 1954.

(9)

30. Granbois, K. J. Combatting Frazil Ice in Hydro-Electric Stations; Power Apparatus and Systems, no. 5, April 1 9 5 3 p p . 1 1 1 - 1 1 6 .

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Hydro-Electric Handbook; 2nd Edition, John Wiley and Sons, New York, 1950.

I t D t D .

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40. Parsons, W. J. Ice in the Northern Streams of the Ilnited States, Trans. Amer. Geophys. Union, Part III, 1940. pp. 970-973.

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47. Dorion. Robert. Frazil Ice Problems i n P u m p i n e S t a t i o n s ; C a n a d i a n E n -g r n e e r , i o l . 7 2 , n o . 1 9 , N 4 a y 1 1 , 1 9 3 7 . p p . U - 1 4 .

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5I. Simmonds, A. T. Prevention of fce Formations bv Air Bubblins: Proc. E a s t e r n S n o w C o n f e r e n c e , - v o l . 2 , 1953, 1954. pp 37-39

52. Granbois, K. J. Experimental Use of Air Bubbles for the Control of Sheet Ice at Safe Harbour; Proc. Eastern Snow Conference, vol. 2, 1953, 1954. 53. Kaitera, Pentti. Keeping Water from Freezing by Means of Compressed Air; fnternational Union of Geodesy and Geophysics. International Association o f S c i e n t i f i c H y d r c l o g y , 1 9 4 3 . p p . 3 9 0 -398.

54. Harry, A. Ice Action on llydro-Elec-tric Plant Installations in Running W a t e r ; R e v u e . G e n . E l e c t r i c i t 6 , v o ] . 42, Oct. 30, 1937, pp. 555-571; Nov. 6, 1937, pp. 593-604.

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Figure

Figure  I  illustrates  the  different  stages in  frazil  ice  formation.  Figure  2  shows some micro  photographs  of  frazil  ice in  different  stages of  growth.
Fig.  2  Micro  photographs of  frazil  ice in  different  stages of  growth.
Fig'  3  Factors that affect the rate of cooling of a section  of river water.  :, The st

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