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Historical Development of Renewable Energy Technologies, Summaries of Fluid Mechanics

Sustainable EnergyRenewable Energy TechnologiesEnergy PolicyAlternative Energy Sources

An in-depth analysis of the historical development of various renewable energy technologies, including wind, solar, hydro, and geothermal power. It covers the milestones, challenges, and innovations in each technology's evolution, offering valuable insights for students and professionals in the field of renewable energy.

What you will learn

  • How have renewable energy technologies impacted the global energy landscape?
  • What were the early developments in wind energy technology?
  • What innovations led to the advancement of geothermal energy technology?
  • How did solar energy technology evolve over time?
  • What were the major challenges faced in the implementation of hydroelectric power?

Typology: Summaries

2019/2020

Uploaded on 10/25/2021

Jaisurya21
Jaisurya21 🇮🇳

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Download Historical Development of Renewable Energy Technologies and more Summaries Fluid Mechanics in PDF only on Docsity! Taant. \ flux x driving ove ¥ a quanttty Aacax thre tfecicl Mech [} Momento ane ker Mom. 2tux & VetocPty aracttent lot 7 a bhiar Kbvexs da Te dy dae Shean force = MUSK ace Aaa Anza => masx velotty Areaxtime = momentund Anza xtime > mementurn qin ‘ . per May Ave Newton's Jae a, viscostlg wane poar paopertirs Vis costly, Conduct vt Di putvi a Heat Trane fev Heat fax “ At ctoe KAT V ‘lx fourter’s Laud Ol heat Conduetton QQ: Puat flow q: 8 A. 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Steady stale velocity ” distibution Ctndepenctent % Tm) Thoader ko matutatn coct velocity distribution Thu Lowe, Plo has te move@ const. velocity 80 a doree has to be Opplied 4 Scanned by CamScanner P jleight clencttay = hlefght Mar x ace clu te vavh ty Volume Volume tintl? NZ og ud» P, fra OS kg im. key ns 9g? ms 2 ; Specttfe Votume : Ve 4. Vstume 4 Mas (unit) thud) i Spe thie i 1A vitg : 5 dine gtven dtuid Relative density oh Ap. juve plunssty) son Rquia 28,. 2. Seo = 100k g /ra 3 ho unitr Hoan gat > Sei- Se” . Fair sy t-an kg /m?. ? ' 5. Coheston': . fons of Attiactton btwn two Lfke motecuke. - Mercury hax hight Cohes fve fprce Si alt flute, t. Adheston: Pr bt the. Property ry cohich -ttwo yee mix gether. (btwn two chtuctele oy btwn a Ligeid and ° a cblid surface). Forte & attyaction btwn two unlike tole cerbes a Viscostty (HB): tdynamie rconiay) Restetan, d by the gute b tte pwn flow when xhian “trem bore Ruictane the me Par b ik adjacent Thee a a ° pluid ‘poise = (0ocP (anti poise) me N CGS ntl Bem Pe tm 2 f ps Foie] P “aa. ea Fla gy, Yan Shuar sate . pois > Jt wes kgm mi cm. 8 es mFée ci By Wora.ns “By ¢ * ad py ms moa Ipoise > to" keg pg oe Scanned by CamScanner Viscoafty of waters [cp tpows = tot ky ms toocP= tot kg ms IeP= ton-3leq | mS Elect oh temp % PAadsure on vieepalty of tutta : mye op mp Viscoatty oh maitiy lutels clepen h splen *hop | Mlemoliculas Cofusive fortes , Apter &. Moleceetar ‘mometum Tlranktey Pradorninadtin tor & 4. Weth fnceaxe “tn temp At decroarer the twtermotecclar cohesive om a. ik heglegitote Aine tk kk “oy packed A TT at decrees ae spt Bap de Gases : { d. t the pucominating fpeme +e cow As Tt cottfsion btwn qu tole cites inoeases and.» & tnoraxes. : TT Mt vey Ke fep Peg Th Aake cares , Some oth TP TH. & kinmatie Viscosity Y= Beka. ts @ lb >, Pees or T? May x P mMom= May ‘ Foe : ee Ts B.dlvs) Pood ae | Scanned by CamScanner T? Ya ley) ve, dx Momontym dippeartvl ty heat Seater ! do? ad flo? Q« MGdt 4 BM ket Gp “ot A an Sp 4° Bs kd (Pq) Ao Pe ran ) ae x 4 (Spt) J ab Therma oli'f fustvt tg for maw trons ity t ' Na= Der Aca . ax t San diyyatvley ces untt = Stokes (ae*y > (1o-2yn 2 = tome 8 8. 6 q. lata xt unté : ms - iid fp ‘keg Reciprocal | >) viscoatty, to. Relative Viscosity > Viscoxity * given fluid Vis coatty % Solvent . UL. Srereface ctenston : © 2 There & altwaye a net downward force acting on the wate motlecuty PAcsent tb ph, ft Atretace of the diquicl , Aeptned ar Force Aequiaed to keep sunit dong th 4 Mquid fim in gquit?bviteem . ‘ i Scanned by CamScanner F Applying fdavv h re. maw AAM~ Bava = d tmax) a d(Py) at cuent) = Volume dP . “a doy Encompacscibte fluids aensity & amstant | ae PCA ~AaVa) = Volume (69 AM~ AaVe = 6 [Aw = AaVo Equation > Volurmetyfc flow Aat, % aE . Q- constant ts thtafned by ap plying © Lae. of. con. be Ver a Auctem . 4 J f “b. AAs Louw hy Com . Hy Momentum : Rat S% Momentum = Momentum Téme = mans x Velocity — . time = max x Acteleration = baw Mom. fax > Aheas oan Rati 4, mom in — Rate oh mom cur + Aum a ports acting MmM=p ($8) fine Austen - = Mom. ateumuabd — (unta tnside the Ayctem Atal) Scanned by CamScanner PoAstbte press acting 3 ; si ia 1 Prsforee, Shuas Gyravitationas fore \ pore Rate 4 mom = mom : man xvel time time density x vot x vel time aenaitey x Aka x Length x Velocity Hime SAR ap Poets FAL* 25 Fan oh motion low a, comervation eneray: Enevgy can heftluer be created nor be clestroyed but dan be hantormed diem one, torm to anottan pon 1 kdnetee Jenergy = tmy2 - 1 Pv2 stot denkiyoe ay 2 ¥ 2 “Vo = ka i = NM=T ag, 2: Potentfal nergy Te mah y Fgh =h = 4 kgm -m = Nmey 62 3. ; Pressure : Henargy + Pressure x Vot . os o Pp Not I 7 Fie" Mm sinm <7, 99 Stum be Aunerg.es ax" ane given pt tna 4ustem is constant Rot Vit he comtant Bernouttis £an’ cee Py 79 p 2 Poot thes Po ave the Pa Rg a a] Total heal @ any given point to the exp, Kectt eon oo pipe fk a Constanc ee Scanned by CamScanner F Thermodynamic Atal Aglatfonship : Pe = gltP Asociatid boundary tondttfons : Poundary conctttions ane Necessary to vay, ati variotts inteqration comtanke that appear dusty Integration. . Velocity : Im? = 1009) Veloet ty = ‘Votametrtc plow salt my, ois Cg area oy ptpe m2 fs. weet nny yatocil > din At tude -aolid interac » the Nerney of pretd is - Ye 'votoetty eh aot drat he behaviouut axe ante Aymmuetric Cie Same above and below the ants) , Pom rcloss en cdigi ons TSO j VeVmax 3 -Tto YeR } Ue 0 ie Dita Average Velocity ens -: = Won Vag - Juda . Q or [> 7 : D) Ang. Velodty i obtained b Surnining ip aU te volocdtin acm the Cras ctection dtvfded by CHO Aectt onal "Onna AH pipe ; da=> Area Sh gterental atrip Cai} bere nttal axa) Vovg = Vimar oa. Scanned by CamScanner Neo + ‘Shertfal fore _—_ Vi'scoces Anace ~ | | Fre mast x Acc if exerted by “the spluutel clue Lt own aculeration . din x vol x Prt » vet th Fim ytlo AMR Area x’ se veloci ty or " Be Pays ae s _ Wf cante irenmion ts ATS PME wal ira i ete a chan 6 L nuntdipteed or clivided Y= py be tant... Bepy sui ante Fue PAY aa Scdiope HE bit} L ; Neo = Far 2, PAVE by yo Neo = Fr. PAV. FO pA Nee = Prt gps began j infod 080 Open’ “yoo Nee = ‘Sur : po Length Bh flow \ le a cloxed ftow Nee = : dm * hoogth % ppennd - ane ge eaete Ton hoa ty bo d{ow atrection | Cinuslar dlow * Pup = Enos VM velo | : ad MN ang: Spaed | =| MY, PO De dianute eo the AtiAMLe Noapes Nee ¢ &too —> Laminar too < Nre <h000/> Tranition Nee > hoon Turbulent . . Scanned by CamScanner p Water @ 26% & 4lowlng thru a pipe having Dep ak an avg. Veloetty oh Qm/s. Report thy type *\ ftow: P= took > (973 Dilie g/m Fate 16 Kens D: Bxto"2 m Vee Nee » PYD « & 13x UX ARON? » 10-8 = 100, p95 Sinte Mpe = too000 Hote - ‘the type of flow & turbutent 2. Fluid States Static tutd => At coedlibrture \ . ry “Sur of fas acting on Ahe plaid 43 ner ZFeo Horace balanw is ‘impoatant - Th ony Atress acting on the splat is normal Atvoss Thee & no shoaa Atres “Component on the Atatic fluid. Doamal tres => Prgseture. Pek Yo. Pascal kg o ero A m? ‘hom Rw gamttiar as , ms? . Surpace apree Lxerticl ogoutrat thu AWQLL % We ate in ' containey: Voxel . latm Pr = 101395 «to Pa (or) Nim a (01295 bay * ‘Ieomm of Ha = yet Pat Scanned by CamScanner P jauge Pressure : Ne f N th PACS tove mearturd be Pactuye measuring couito by taking alm. Paoyseaye “at Datum acuttrn Pacwere: . T Tat Nogative Paesstive , Below atm. Paryeve evr out ave Pr => Abs. Pr = Atm. Pr + Gt Pe yo Pro Abs. Pr = Atm. Pr = Vac. Py Static Pausttre ; Hydros tatic Pressure: The Pressure height aaletlcndiep er) Variation Dh PAerure due to elevation ou dtppevance a Au Metkeremont oh gt uK 4yom dives Aura and not from m = rv Abate phuk P— Pr intensity on Aurhare Shean 4pree Oo 4p peut Sa { i Pr. porte dating con. the Surface PB | Pee [Fs Ba | 1 3B 7 Poa L i , CD Aa Cs -Aazea Ob Aurrferce - =A at (uptiwutt ler? buoganty) # Crrev?tat mal qpre acting ar “open . =m | © PV xg, 2 Syn ; Pa x Arca fala x het ght 7 Pg A (dst) —_ Scanned by CamScanner Sine tla tlemenls ane Very © Iqnoaed 0 SFeo Stim Qh Hoaiontag fpaua £0. : : Sino z. “Pedy dt4 Pusine ANAL +o mes Ay ~Px Ay At + Po sy Af Az =O. Bw Sup Qh Ve Comp : Py area z- Pro COS AW AL= 6 Tyan az~ Pro AX MWA eo, An ®pen tank Contains ©” Od above od an ott AP-9r. 08 ts Im tind the fntenatty % Pr @ y tntexfats eco Lig in Ryd )@ m bottom &% tank tn per D Ps Fax = B00K4-81x 4 * ta ha Pe ras » : : Ps Pox looo | X9-81 x2 Worsamoks WTR! P > Iban , Poth = tens + tded0- Stn bs Pa. = IHGOSxtO% wats < 9:49 P. Scanned by CamScanner wal —t (al: (he pA. dus ito a2 Column 0-4 m of, wath. gee 3) bt > 4p gr 0.9 Lael P. 13600 Witia => P- Pox. f= 8434 Fa Fig: 5aabb.4 Pa Pett = BB3I-L Pa Rescue Measurement Ps.dith @ paint s- ctiph btwn two poiniz tha ptp pe dif Btwn -two pipes . ist unit A asem dia pipe Comte an ott wm Ap gr709 @ a velocity gm[s @ one Aection. And @ anothes section, the dia a ripe ts @oem. find the velodity at th section and MAK ftow Aate in «hb pipe BY eq: by emtinuity AM = AaVa: At 86th (eee) ae 34m (oxo je H hot : 9, { Ay ouqme wars A by @ _ oll = 00, (0-049 1(3)= (0.0314 Vg [va Ieee m/e Gem fhe Pee > Apoxo-lHt Mm = 139.3kg A piee@® yBomm tn dia branch tnte two piper ® and &) having dia = 300mm ond 200mm At: The avg. Vetodty 4h pipe ® & sm)s DFind the distharge through 450 mm dia pipe. a) Find The Velouty Scanned by CamScanner tr 200mm. dra pipe» Pipe iB pm/g AVE => hoo Ate 8.1 Crpoxtio"3)% . torr Mv MB ristoi 4 Aw, 1 Otbgq Mx [Boca] <3 Qin: Gout a. = Qa 4 Qs yo, Io 15472 "(OcctDT x 9-55 (HTT) — Cortes) S-o3ty 13 Mm Manomeles lanomuelers ° avg e . 44 ma uw 800m, di, | . > opp mm oT + ®@ ’ Q Co) + oa y, ; ‘ - oe Veo (east) toring Dyfniat, PAwene measuring clevite me. oe Tt eet balane a Cotemn ry anothey eottemn Of, pplueéd These an fmm Classisication : & tmple manomelex Dit rentiod Manone Gg Simple manometer - Proyoriatey “Utube manometi¥ | STogle ‘column Manonubs ob pita bs the Aame ply a gles ‘tube , Pr @ = Single pt > btwn 2 pa or a Pipes ‘ Newticle Seu Tretirud Hatlgentsen Che Hi 2%) Scanned by CamScanner h,- height “4 cente A> ¢s 4 Lest, ? xx->~ datum ulne to NRtctey then Uh. manonute & rot Ly Yo ; b Pipe | lwohin Corthected Nas haight Mano.diq above x am cs oy lémb ~ % Pipe pm xx ~., E + fig Chit ah) = Frog Cohthsd ib “ie ae Sigbh + bh Sng hat gh, In Bg + Amb SMW) ot ; © ywohen AAC 4 ALKOYUDTY is Ver forge cohen syn pare cl je ara % dimb then A>s>ra , db h Same as Piiago, tor any huge Vartation tn dig Pr, the Variation Ash > axh, ‘Ane oO aot —O® 4 OL he Sine: he yorest — aos -y b haeesine Relned Aub bs =b8ine oh al do v Pt fear an fneltned ‘ingle column bY iT pr flr Liauid with smalt Pr chang Tr bs highly Aonsittve « i Scanned by CamScanner | : & connected lo Pipe Corl, 9 di tingle ¢-N ° «tar ga the Pr. to the Pipe 4 the DT serervorr & 100 Hrs, Abe re. Te mano Aeads Hoen, tbe mano meltr - and sigh a cantie pipe» above dattum, dfne .f& apem. Poe (3600 his @0cem >» 2Oxto72m Jie 900 ha= locrn = Hoxto2m Bo sieh A too Te Batine dips. mane : : Tse an devise uted mature the Pr. dit lotion two pe wh a Pipe. ©). btwn too Pipes. | 4 Fg Chithe) « faa Rghi+ Sing ha, . Thverted U-tube: Scanned by CamScanner <fov inverted manometer > The manonelyet qletd wld be Aight. laty) Ginee qerg. Liq har to atce, » oppostng gravity 9 us mete . Pa + Fig )thetha) « Pe Ftgrht Fra 9) ha af . ' ce «70h _y han at mol in DY to lew ay plea Freg ? Pi tegyhr 4 Orrerential Analyste Snort fpelom dtm “plotter Type of ; Ame doxtyatives : Cx) ‘c-clepencl on portitin Falittan (Dial Time Detranve afr | eee Hm bayTotal Time ‘Derivative (my 2D Jamangiang S)Substantial Time \ de. 4 d¢.dx4 acd ors in a devivarive AE 3E dx GE 5q SE ich time. in g Aived “C’: + 8c. Ar we a ri oz ak Postifon tin faens\ | + Sanding * on ma br O Sing, dla ate moxe, than one clependent Variable > Tt & Partiatly dif fuantiated ® Rae ng a boat: here oe => Velocity Bf, beat fey 3 Jevop ing ayem book te sfver , De. acy e- ae 4 Yyac + de Dr. ob Ou ey DL Vo Velocity a -ffeid ; | WY) Destyative Followtng the Stet motion Scanned by CamScanner ® can be Atroply ‘wrilln ou RL = -PR-yJ-© Dt rut Fan@sa®™ ae ako cated Lan of um é which Aepauente Rate af change of density ay aheervoct by an observer who sloxting along ty cffetet, dor an thoomp auxtle ttuid , Ran ®.@, QO becomes git “tm, [was}=o. ; ‘a 1 (or) 274 WW 4 Weg ox ay 3z Fquation motton : Am; hay, \ ' . & Volurme; AxcAy Ar ’ Consider pare flu A fired in pace ‘ “Fpphying daw eh conservation % CP Monn Fur : Rat of monuituns ca . Retr hulatrol = Momuntim “niet the Volume an i Aravy f° || Rag oF He —O —— I" Nomen tum “ntertng in : ! -| i Tapas te mornentum fy ap aly i YL) ttasction | So Note ; Morn tuum 2rclen ints a Atalay maw 4 pisid ust Impast i monuntim fo att adduction, | Scanned by CamScanner mporert momentum balance. te + tm ome nf cw) a mass X velocity) 4 | ) (denxvolevel an Momend. Aceumul ad ta 2 (Px) = Ar byt. ae) __g a OF alt % mrs as ° PoeNe se Ver > Px Aedev . Pavv + Pree mans ture = aw Usmtt for &- | Rati a ~ momentum entering in at oes = dyaz [erro] [eee Leaving cur at xe odtAxr © © oy dz [ope Vel | Le x4. a entering Ln ax Y= d = Ax AT Pry) J lyey oe entering th @ £2 = AxOY [CPT 2. 7 a duaving mut at y-gtoy . dx 52) Pry, daaving cut @ Ye tear An. ay[CPv ov, T le -t4A4 4 x Momentum entering an % teaving lege The het Agate Ur ann OY AY [oneal c CPM dls vay | + Axaz | (924 Veelyey (Pry) Val yzyean] + Ax dy [ (Pm ye lesz - P Vy) Vx z-z442 | x @ a Scanned by CamScanner r— i eran Shear. ESA! — fore X component shear stron antering in ot ice i fe wee eal agae X Component Pamure forte acting onthe 4ifttem at re % Pf fps PA z = AY. Ow Px lace ne leaving at 1% . - Ay. 62 Pe Tez ras The net component Dyrexure Pores = AYOL T Pac Lacene ~ Prxlx=rtaz | ae The x "Ne X= Component gravitational fore. S i: rm ‘ 2 Prvol*g = Px Bx-DY AEG Gs Pima aa) 6: fs- Tal , Jeaning out at = KtAK Trex), xe AYAL = Ax entertng ID ak gry J Tyxlyey Ox At P89 Taal gidtt? , ented 8 en ak ; t=% ‘ Caxlyey Axsy 0 v= AxA waz oT, d he mle-ata7 ‘, het % component — AhLay fore acting om Tap Ces . (Caen laine 7 Grad Pare) Ag aie + CTyxlyey - Tyxl y-q2ag maz + (Taxltsx - Canlt-r+ar) axsy Scanned by CamScanner — , Collect art dertvativer 4, JQ om one mde y ; e tonsicer fan @ ) ies a [PID a Ve: Brvadavu, 2 (Pine) a Be 2 Uva): 90x Poway pit iY 2 { BeN + ax q 5 ) Be Wy d0Vx “4 Pr, ade 4 y's pus! ‘By 4 Ye Bie 4 DVim Ove cal on 4 ie ae ae . Pac eng we 53 she np faipod! s vee} a 1%qx A ey w DUPY)> Voy 5 ‘ Gi . 4 df BL cone RAO pe eG oe a at ke ve, 1 2d : Forte : ~ Sheox tore rs Atte es = TH op Gyr: Fore anit Y Bnet we] Unit yt wnyt Fema @ dar ® & Caled as oan motion tohich & 4qpod Complutely dauivatenT Neurtonte Seeond we Shot Lan @ Atpawenl, A Ati molecels moving alton stata vehich be de autevated bear, Ody the forces ie ‘e te 7 iy Leqn @ Aub Newtons Rew Bonet tay —(Pvy= so 5 ) FW*v)- Vp+ Fg | — c — Dee Stoker fean (S95. ee > In Lean @ PUEV.T eo. 4 p_LSVI" — Vit Ry aityxie Lan oy motion Aavelopeck an \tah + has, been toside! a ty used tn alow Atknahony whos Scanned by CamScanner F Vie Coens aH Aclattn gty untmpoatant a A Utube manomenxy weed to MMakure Ehy Pataca, % ; a Pipe ushith & 0 2x % Ob, The Aight Aime a Mano contais merurtangs » pen to atm the contact btwn waty and Hy t % sh dept timb ft) Delirminn Parcs ‘ walks fate math ne My Aifterence fh Hg ‘ Aevel peony a U tube 4g loem ana “Surface op merurry 1 fy devel with contre Sh the Pipe. i) 74) Pa-of watir ip Pipeline & Reduced Xo astontn: cate. the new dipteronc 3 Me Level ct meraury - Sketch The O°4.0.NG emente fer both the Cases. DP + Su{ C0) = Fong (0) Fee = Rog liad 4 Prefion aw > Eloves t9-81) crops (130009 (4-810 jf XO 72 Fae 1236060 tof? vio? , (2360.6 Pp, aos n - ae T8lo 4 Seg Co- xdyt0 PO = eng Clomaxdeior® \ y- Alo y (000%4-81 Co-nrero 2? * 2600 (9.81) Clo-a% 7% 107? is th ; 810 4 Gsioo Wloruio? = [Is3ntbo— 248927 | Wo + 9g) ~ WS (re = 1 BB WER 2666.39 % POLE-2x-AQg1% : IZ3N1-6-Q8lo ~98t DB D.99%s 25K0-6 [3 = 0.9598 crn | Scanned by CamScanner alp.ee7ou) . Qateacen new clip purnee a [4h e-orsper] rexgntial mano fe dfttel ett Hy and & connectad ” utube dig yet fpelint The mano aeading is Abmm ot] ty ! iho PP a dhe wa Ape athe pis ft) when watu ts flowing the pa-ditsh ee ot thru The ce Pepipe iW) Afr @ latm.pr @ ave & tung abd he Pye nT Ppe iT bop 65 hes Somm oh tl \ | [ny vo pt | y TE D J We Yee! pth, Re Pag (hrrhad » Pe+ Bohs Frog ha, re Re : Qa hi tf = ! rm heel » Ea =f 1, Bagh 1 Kgha = Pea rer a Se gh ; = Eqrol wm fafa = (fn-R)gha hts (12b00 - (ood ) ABT X Qbxio"> RK Exes? ———— —— ~ft IR- Pes Sarg.tch | Ris abate —— ~ Real key ii) he Rag trrths): Ib. Foq hus Jengha P= larm fer ¥ ) sos Tip = ) Pa-Pe = (Sen So) ba, C5298 ® = (1ag09- 91:31) 4-61 x Wox!0-> = fa-Pe - 213-29 Pa] A ot ka eg - : : to” # Scanned by CamScanner P henee he Pam uwre ‘% tattd \elowm trea Dy! oy es “bath Pren ure” B . o ~ Prat work done by the dluid = PCat d+ [-p, a5 at &ine we know that the vol: ce, qlutd & Cam, bi e ; Le soy Ge (wy Ayes, 5 Ala = Art, (P-Po? 1 to mm: We “ vor fee be = Volume CA -P2) $ ¢ » WORD tw WE CR-R) — gi. From tow ep con. of Loney we aan write that tne’ total workdone by the qiuid = Cyath wb ke —loss th RE ACR pays WY aR) = belt) -2a) fe Xan ® % Catted Beinonttis &an fov dytetionlun se The corrected sie e Rernoult’s Agn is . Ro4+viegz, 4 lp = ‘P24 ¥22 Boag UP Bag I @ > At stetency f 4 ‘pump dp fo hlp> kp by pump tn m ’ Lue The term Wp Can be “4actucled in Bern outlis Aan (xan@®) when a pump is employed to make ‘dtutd te foro qyom ower gradient 5 higher gradient bp AoAs a head dur te gyi’ agyeer. oar ine pipe is hot Amoo (major Lows), t a ae Scanned by CamScanner vient adn oh chp.ge IS & clrafning ‘prom the bottom parge — °pen tank thrt a somm dia . Pipe. The faking pipe ends @ a pt tom below tha xu cute. pine tm the tank - panes ne legit. yricKonat tes Cale. velocity mf dtow ee a) tscharge | pave ate . Bit vets to r % ag Pa 3g 12 r fy th end& ox epen Te tory cs atmed pheve. " R-R:zlatmPr - we \ Vi = Om/s ry A>>s aly Cor hayge tank, Bupp bf tant). fica ef tank >2e Asa Pipe wv t -LYoa=o. Vv may be neglected . LZi-Z2=20 ae < ti-La = Vo2 : : a . Vo = (Zit) axg 5 Cto) xXOxq 24 Vo = tHrofs A antritugal pump takes the bef he Sotn bottom , tne M2 from the epee bs bat 4 tank » ctethyon it fan a dlow rat. Me a : . ? + t60Lf ne? hick vey Ptpe docatedt Den ae " vine 4oln oh thy 4upply tank jn, Uctforn. and delfve Lrrves baat al Bert ie vit tennected by PT/teg The Pane yrvatlion ith» ANC, xe brine I 2kgp, Pur f Ang. or the pisap “bhicfeney Catculat power Were "= 01g ot (F bi mina = W80K9 fm Dee Da: team) VW" | | - ii mines oka /ms jot “= Gz 190 Lit fmnin Ai-tetsm [oo be vers > Scanned by CamScanner Tis Pas late. Py. a on ah “a Yu 4 - ba Ab VCs athe o wy dons ig BNiyg Q; Axy, # LD Vaz Qa. eoxtom 2 60 Aec Q. Oxi O-2 T, 24% ‘>: agar 4, Ue xo d* yr 9-023, ho: . f mo Convert te m 3 hp: 50 Nm [hy 5-1m | Nn. O15 Lip: (b-098 52 2% 4-8 Wp: ab-8hem thn Tower 2 Ae" arm | sb 4 Hctees.| i cegnsn Pop ebig SEH | vel cma a hp. -tHowaltr \ wns [Re oun | hp | Gon (e* TA5-57 walt ay an <. mea Ssuchm apo at? .44 4, oy SSEEN, pile polit te giver. x — Scanned by CamScanner _ - Untt-B ‘ | Bimemtonal Analysis prpisical equations are obtained as a WN no of experinents Aru of obsesving gob. — 4 |> ° be Solved Atl The Heng ering Palen Ore nactheradst Oey. o oe complelety — Zi thar theoaftte aaron: Peblms these kind are erpecta ; uid (ow, heat flow and di4gusional Dperations . e. method % attacktng uch prblms ane evelopment mathematical £gns ~ thre emprical kxpetmentation Q ag: The Passive olvop AP oyera Cirtilar tube depends on The {ten Vartabus. Ly 4 ffow rah © - ee ie aa ni >) Jengtin % the?ptpe ayo * Loc: Regine Asin yt ° Only Patra 2) Diamelx & pipeD Of Ort. W Density gy tlufd P 5) Viscosity of stall b) Pipe Joughner ke ‘the Ab feet Geach fnetfvidual * vaxfables on pa-doop . Can _ be, obtained by Yarrth that vavfabte b cobfle keopin They Aemafn in, aries as constant. . Te Auvelopment , Aan. for AP which frhetectés: * Appeet of att varfabls % Mun ve ti fete and hig hty dahostous. This. there exats an 8 mievmediat: method between methemattral Aevelopment and emptatcal ouperimentarton cated L. climenstmal Analy aie 7 Scanned by CamScanner ’ : ; ™ Ofmenstonal Ana bys @ 2 in Ke a rethod based on dimensions oF ‘ = goa wn wae the phyebeat varfalos volved 40 Proterc 4 + Very much Udell dvr carrying out Aeseasch tvorks and dor conducting model Werte. Pt & Very Simple and compares the Powers % gundamentay afounsions pn each Afdes A a phy-foal equatfors avhich fs olfmersfonatty homogenous fundamental olfmenctont: There are two types of dundanental Aimenetey, D Pt Quantttis — There Are the Afmenston ay the awtottvast ly ffud Varftably og: dMas OM i. Dlength 1 3) Time oT 4) “Tetnp _ 8 %) Gecondary Quantttter wr) derived Phase Oe derived Aen primary quantites Eq» Density eNeloet ty Mp3 tT What % dimenctmal homogohity 9 Klhen gach variable fn a Physteal eqn kk Aoduud te tte adundamental dimensfors, mest have identical Powex on both Aides, thon the Aon t& tated ow dimensionally hemopensus an o” When | the, powemt the “Aundanuntal dimensiow Th both Afdes @p th Phystead equatiou is Some Hin the an: ts Atmenstonaltey homogenous Methods of dimensional analysts : : . Qe dim. Anatyece woftt -aectuce “the Complexity 4 a problem val vie ‘AMmalleyr no. di nunsion ls Greups ormud trom = The eres ho A yectabls Z) Prvoted tn a pwr . Scanned by CamScanner talon’ th the vantables fnvolvecl fh oe ww, the efter -tron methocls a P la knee orm the Atmenstonler gr Cron- ensatent a ; 4 5 Rar teig h's muthod er 2) Brickinghamt T method - a fe Te, vartables tp volvect ad he vost pact te b £ oth: raysteat Pros K mantmum , 3 applicable ° let X & A Variable that depend on Xr, Ko .Xs X= fx yR2,Xs) / Gun by Rayletgh's method X can be acti wittten as | ye fee xe x3o k> Proportional iy constant a bc 7 a Z arbitra, Peers” which can be eva se ' quaking the powers a pander hctat mentions of 2. [pea un te voceierbilan Xie Moe MH expaurion the gatimation Aad as well oO 4pr Atatic pressure can be Pnvotves Prhead-h ; F ot piufd tnclor q- ace dus to gravity - \btain Ue “oxepr der Atatte pr. b y dimensional analysts. No. ef, Vanfalbtes = CP,h Pg) Wis, Variable unft funsditm Pe $ (n Pg) P By ‘Rayleig he method) . Ps kha pPge __ © Aub . “tend aim a fe c [mit-23 =k CEP TMe ev ret-27 Abs Vatu ain (0) an) Js a-43b+¢ [e= i] “2+ -20 (e=1] ke Po is ik “ dimuinatentexs number . Pah “4 kd pnge MET m L kg ims Mi3 £q.Powes on Rs m/g2 pte Qo og = Scanned by CamScanner Vartable wit tund-dim aP Not artnet K/mgo , L om Pood D m L K m L P Kain Mie M kg/mgs = MET" ¥, M/s LT" ut term . Tre pe yb A AP Merete = CLS Leth Pres] Paypp-29 O= ot ; ek ed te acer ; Gs-F] 44 Jeebxg 2 8 they , ofr Re, The Duh pa ap. Wee AP a edas Py Put tem . Tla= pm ybe pe L M® pote. [ry Petry [m3] [vy 0= c [ee Oz Art bi~3Cr +1 = = oe (Ero) Ty» Dp. A2=-| — | Scanned by CamScanner 3: Datvls p& k athe Ke [ty Tg: Cig@2 Cotte pms SCL OF C3 O- Ag tb3-Cot| a,- ct O- ~bs Ta= kk D Ty. OD yp be pu ate = Cege® Dpttybe Deeg Em t'd O= Cy +t Cy =-} O = Qy +by3Cy-! a ETE 0: Qy -14+3-1 “yo po 7) Tee piutptp Ay t. > PDY FT Ts Te Ty dso. = fUMa, Ve, ) AP gua” § UD: Kia: H/ppv) by tated at Aaqrarat analuct , ‘the con biclants ( ho » ¢ ¢ poor s, ‘av be found Nu. Gad fae s xen Ae oy Scanned by CamScanner
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