Solution of an hydraulic problem by analog computer

(1)

DEL TADIENST WA TERLOOPK. AFD, RIJKSW ATERST AAT

DIRECTIE BENEDENRIVIEREN 'S-GRAVENHAGE, 27th .August

YaA Ho!laAl:oouGklaan-60 T eleloo11 77'6399{9§

Stelpertst~aat }5 'lhe llagtt.$.

· Dear Sir,

Xnclosed please rind some co.nun~ on. the :paper o.n the Analog computor, as k1ndl¥ 11'.lvited in. th.e note- on the bot'"om ot the

tbs.t page, S9li1arate ~- l,)4-..

.As it co.ncerns one of the .lllaill b:ronchea ot Ott'r gtud1es, I etld&!l a 11st

or

the literetu:ee Wl thla subject, t,h1oh 1 tll1nk is :f'aiiJly complet$'

as regards . e$tern ~urope.

Hoping you 111 grant th-ese oomeniis tn be put under dheuss:ton,

I remain.

Yours very trula'

Chiet bgin&er lle$$81"Ch i?&pt Tid.81 Rivero

AAN the deo:retar.1 ot the ilme.rieen societ.y ot: Ci Vil 'Engi:rte&rs

.H i. 39th Street New York 1eN.Y.

U.

s.

A~ @ 21877, '49

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SOl.Utt.on ot em ht4raut10 hob

by R._E. lOvt,f' n •

.r'

Rorl>Ut end C

.a.

Deum..

OQJllm n.t bf Dz-11 J • n3J'1 Veen.

'lb

»

per Jll&.nt1o.ned bov di se the problem of t. 1da,l low in stuariea, problem in

w

1t?i tb Du-t;cb $.ng1n.e r ht:t-V. bffll uch inte:re1ted tor lOllB ti1l!t • It m8.f be woi-th il to meat ,on so.tne Dutch pratJtt.ces.

r d ltei seh $fl euoh as

tot ,

-11:tng new \tdul cluwnela or 1mi1'0Vine

tllem 7 imtd&bs, t..o, tS'lCrowlng ff w1deiiJag ther:I, okiJlg new opeu harbours.

,1oa1ne lale•••

eto.,,• uso tl:.u-e

d.itteren

116tb.O<ls o eh ck one

anoth rend

t.o •eno r'ltmalts.. 'lbey are,

1. ma:th=sti<>al m.ethodo

a.

}:cydit ulic l bo»8t0t7 .l'n.$thorbs ;. leot~ioal M imQds.

-Jh&Y $1Vo :pwaoti~ally the earn~ r

ults

wh a h@dled vou. but ea@ llQs a ,out &f a4 eeaen\ <rff~ tile otb r._ lb'!;<;eulJ.O J.abU£ tori i,os'b give . ~iok raaul .

but tll.•1' a,- b eo em.e, laok~ ln xaotne a, ma1nJ,,y bea8\tse ot the

dUtJou.1\taa &ris1n.g 1n ~produos..ns th · r1$lt am.oun at t'riotlon; battle muat be ued• 'Vth1oh Pl."Oduoetl on· the rt.Jal Goele \'lOuld Qll'lQ@t. to $notmoU1$ e\\ruotui,ea

vuti in

ta&

b$4 ot the r111e, utng perll pa 1~ or eof,. of the wi :th_.

a celoulett.onniacb.1lle, o~ olectl-oX1S.o «> put;or., baeed

on

the eath6111a 1cal ton.u~e. ~ougb. the retulte c,an 'l'.!e obto.lllc. VIJ'r'f qu~kl.¥ ond aocur

t~lf•

th.e O!llputo~ nee4e -lnUOb. s.up&ni~ion.:ru>u6 tit th9

tteny

V-EJlTee sl\ould sb ae~•reor tt.on.

The thNe 11le11hexls oaai be made to a ... c,p~a e very woU. Iu beCJe!ll& to~

iaataace po••ltale to i-eaob

ao.

oourecy of about

51-

in th@ vert.1.oa; tl4e 01' a Jl;v4raul1e medel e,t tb:e Q4Jtuer, ot: th -lilill.-.M~ea. (tlcalea vert,

1/64/

Jlot-,. l/2400) whEm the N ultt ot that .m del wen co p :,e,d. w1t,h. tho•e of ccun~• mea~W'Sont data. lior

to,

aoc\lracy f)f the Gate givea 'bf tMt J!lOd l tor tt...e

new Sob. Eis.the ffl8~atnal1~1 QOml,)ttb8tion~ _,_,~Ol cl another

si.

i'fio tot 1

ccuracy of this hl'dralilto model ay: thel"eton be •r;1tht$t$l tthin l~. I~ JU.a¥ prove thet 1u the tutu:re el.fletrioal 1.mitstfon an o mucb work

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alone. .nc

1¥

the work ot 4et mining the wate~ levels water o~ ata not • det 1.nation ot the a!U!l mo enta, scouriil and siltation, lt

\oolc us e long t1m.• to sol'te the eleotdoal im1tetio probl (aee th

liter,,r~ur ) " pertly- I> oause the intrlo t~ eteils of m th He had to b

sol•ed ti~st. 'lbere reaulted th • different mathematical metho4e to solve the que@atio l tidel; formulae,

l. ~armon1o eth , using atnusoi ,

2., Taylor series dav6lop!l) nt,

,. metko o 01'.laraot Pist'a wave o pon nts.

2

IJhougb. ivin raottoelly • ea results. all t1ute& m.~themat1o l ethod el' nra!Jlely urndeld;v to· hand e • se ~i&G.a Jo ths-t :tor cert · 1n scb e

nly' bout tbre caloulat.ions could e mf!de l)flr 1 . (

uus

about. ten c: J.ou ..

1etc.rs) , U th r sult ot abou\ 400 oel.oula'Uona 8,bould be known;•

otten

50 eqU~U na • ad to be QOlved 1:1ech time; hEu>.ce th• need o-t by ioau:lle or

e rlcal models. Prof. 19:r n'b~ (J.o1den Uui-Y J>ai'b1) • whP started. tld l

caleuls.

ion

tn them dat'Jl rry it 1918 tor ealcUl ting th ~utdor~ee-encloeu»

s 11 us Ube lineal:' to!'!llulaa, mltlh •tt r ·a s11sh1i 04.tti a-tlo.r,. $la tdcal

~ngin N re acoll(Jto o to osU he t legra_ph equutlon. lt wou, h Te b$8Xl

mr . J.y as1 to 1m1 tat., el et:rioally the t1d e in the Zuiderz ahann ls ·

acoo.-d t these U.lle r f'o,mulee, and ~o o t&ini of' ~e ented nwl.t.a

bt

.auu

ot the lmitet.1on wwld b.eve beeaen y 111d e 4118·ratio law of

res1 tone of 111ater mo•cment, cnr ftr, tak: awer atmpl1o ty nd oarrl ua..

into ferflung ath tio and electr<>nios.

or

courae tho el et111oa1. oomputor,

and also h.,1dnulic rn dels ot at dt ~ :rt.1on, ,11U not able t 4esl wi'l;h

aand movement.&

and

·

lt•p:roblems.

'l'he eleot~i4: l · cor.1puto:i

ot

th• w: t (JI mov ants is aae4 on t. he hamoJ:1111

to:mula1

ot

htdi-auU.e m 'bb.ematto • It i also an tin1tat1on or the wa'bor move.meat

but Ji()\ 1A v91:7 altllple ay. 111• aocureoy ot the leetr1oel.moth0d depend&

m. 1nl r o.n tb.e c.onracy end :reliab1l1\f ot the. t C R el enta i) • th amount ot

S,.nua 1ds Wted in tlle bounda-ey- 00J1ditiou,. on 1;he l.•nsth ot riv •section

(we take 'tm~ae no l.onge.r thaa; ken) sd oa tbe aoour oy of Jl1 asUNll'!tnt (wh1oh

1s abou.t lf.) • ie use a pertod ot . . . aea. for tid l ,PGr1od. Catb.o '1!87

~ubes ar used ea indioatora oaly, not

tor

.td&l!JUN!lll.•nts ..

ot 1.1oui-e9 the L O R lU11ent1 heY to change with 1.he 'tidal cle_pths and

tidal width& ot ~ aeouiou. '?hi o us ~cme d1tt1ott1 l tn

t

$ oonat:ructlon

ot the el ctnoal o putcn-. other cUttiouUy s ·tnat the tectoriea CQUld

not make the peoial kind of valves with t.h aoov cy we antod. Perhaps they could hen done lf they re11U, tded, but tu lectrloal oor.1putors do aot

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QOASUllle these val• a tn groat antitiea. eoon as tb.eae OOJllpu ora ~ e g 61'81 teetW!'Gt the world ot eeotlOmtoa ay- sheu Ohuoe bf salCSna the

peclal 1'ffl •• • • • • AG lhe accurate valwe wer not anilabU • e \her

el trlcfll sahl!lll h to be nol• • Tai pr,ov to 'be qutte tea1l le, thoush

not so

eles,n1.

W iitlk• our eotio~ to I) tit for un.twrsel use, they ma, be ued tor chetmsl.s ot ~ ldth and

a

a,th vd. thin

id.a rauc•• ·•

eim t. aboo: 100 aeotloa~ ~ more

to

ltni\ t our m$1•

network

of

tldal

cheJinols. At

ir1Y

ws.e

roo.m. lo celdS&17 to _put t1l c,o.m.putt>tt

u..

The

wwr

al cll.areoter of aOb

secUo lllt1,l.10 tti.at y extaf,lcg 01• ftttl\U."o n twon 8lld G'll1 t1d oa b

tmtt ~ted w1~ thc.ia 1:n,ctS.

a.

1be imitation ot ti gtv o muoh troubl , 'J.'he

tiilitetion ot ourro • ill a uet'IO~ ot tub • b not so inwlYcd. · ter· currents

1n oil.a or iQ de.ma c8J1 be imlit'lt d ta:trly eu~* beteue linear. A1GO the

alr cQrl"ent 1n l"a"U.rou4 u.wlarsr QJlQ syat or u a mill can. b& lmluteu

easily by ni:•atta ot &lectl'i.oi~Y.

l1' the engtnov would unit · 111 their· eff.ona ,tc indu.oo eleetwnic ~ube tactorlq to p;tioduoo th

apeoiol

kind of v l~. (apeci llY a val • with

a val'iable qu.ed11:t\io oh6i-aet.-1at1c) • ttll would an a si!nplittill&

eoo

retiat of our 1eo~r1c l oc ~utora. Lit-er.atu:re,,

· i. fl ei-sle . _ de aati.oomBl .aeie Zuid :,.tZ&f111 }.,2l6-12as t Den Boag,,

Al Me um<1se.rt•cn-1.i; Tb$ ltegu.4' ),6 pas. 61

tis.

2. · 1 .1b.. 1hiJa :-• •1 Xntlueru.,e 4~ la te,;'Sle,ure u Z11iderzee sur le rls11!1e

as .mar s le l,;mg de c&te$ ~eblandelsM",

(bullet:ln ~• l'A$$.O i

tton

pe~11te des

Goner'8

do

rd.aat.i<ilffl

JUl. •

n 1.f} •

). s.1,,,

P.ronko:11• .. •

•Ea

c,t'bU'berekeri.Ul voor blffledem,-1Yieren" (fql.o,.. eeties

d&vel~,7.lllJGZltl { 1tDe lligem.ew.-11 _!2.ll,.₄_Pft8• _.J_{:Ug. • '.Cae}_liegue).

4.

1.r,

azur••

-

~3'$ e,rekenl.Jle

,a getilden

en a\omvloede.\\ op bened nri•

T1Ct3Jl"

lW.•

J 222 9SS. 12 fig,

(DrukktriJ Oenttsen, 'i.b

a.sue}

J. • l~. J'.,. v,., Yten:-0a.ttjstiooo.ml)e~ 6llingen _Jn$t_{behulp ven}wectt~n _flll8lQoa

nan 41ta -van Ob:a· KlrObllotf. (filial ~:al uJ.n'biOn wlth

ltrws anal.04ous to tru>a.e ot Olut\ el\4 K1Hbhot1"} (11 .lng$ni.olll"" c, J. 19

l.

"Tidal ~ault<ss." :1 l'J,b.1ngl0.D 1'4-0

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1

8 9 10 11 12 13 14

15

16 Dr.J. WD Veen DJ,.J .. van Veen Dr.J.J.l>ronkera .J.St:roband B.J.S't:roband Dr.J.J.l>ronk:ers en Dr.J. nn 'Yeen Dr.

-,.»aa•

Ir t'h.G.van Zoest B.Holstera

"Bleotriache n&bootaing Tan getijden". (Electrical

imi ta Uon ot Udea) ( "l)e Jngenieur" nr 3,

.12J§) •

"!he calculation ot tidea 1n new channel•"•

!'ransactiona .American Geop~sical Union. vol.28.

Deo.

J2!L•

"~alogle entre mar,ea et couranta altematifs".

( ''La

Bau.ille :Blanche" nr

5

Sept.-Oct •

.l2JI!

Grande ru.e 23, Grenoble, 15 pag. 22 tfg~).

"Methodeii V8l1 getijberekening". (Methods ot tidal

. calculation) ( ttJ>e Ingenieur" nr 45.

Ji4IJ

16 pag. 6 fig.

"lilen 'bijdrage tot de ·k nnie ~ d getijbeweglng op

benedenrivierenit (Jlow to impro..-e on tidal calculation)

( "De Ingenieur"

.12.4l

nr J61 6 pag. 8 fig.).

0_{De voo~tplantinf;}_'Van_{het setij bepaald met behulp}_van,

de electrotechniek et inachtnemin,r weerstandnet"•

(Pnpagation of the tide determined with the a.id ot

electrotechnique}. (Polytecbnisch tijdachrift 'l'he Bae;lle

18 and 30 Bo••

Ji4V•

.

"Aperp des 116thodea pour la determination du mouvement

de lllffle dens lea embouchures et lea Pleuvea

a

mare•

Beerlaada.1•"• (Rappa 17e Cong:r,a International 4e

Ban-ption, Lisbonne

..12J.2.•

Sect.2. Queat.1. P• 159-189.

Dewcieme parties "La modUe electrique de maree" - par K. J .van Veen.)

"An electrical analogue tor mine ventilation and its

applicaUon to ventilation 1lann1n,." ( "Geologle en

llijnbouw• Pf-117-12). 'l'he Basu•• 12• laarg. nr 4

April

mQ.

J.

"Bet bepalen WD drukverliesen in leidinsnetten et

be-hulp van een electrisoh model. (Determination of press

loasee :in waterworks with the aid of an electrical model

(ftjdachrift "Water", !!he Hague,

.W!).

Le calcul dU. mou.vement non•pe:irnarumt dans lea ri

n'

rea

par la aethode di te c1.ea '-l,ig,nea cl• influence. (Re•. Oen.