Fileshare.ro_calculul Hidrodinamic Al Carmei

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Calculul hidrodinamic al carmei unui mineralier de 55000 tdw prin metoda VOITRUNSKIa) Date de intrare:1) Carma suspendata, profilata cu profil NACA 0021:Lwl = 211.3 m B= 32.2 m ( nava tip PANAMAX) T= 12.4 m CB= 0.792 mV = 15 Nd V= 7.717 m/sD = 6.6 m Tp = 1310 KN np= 122 rot/minnp= 2.033 rot/s 0 = 0.5Cx=1.017 hi =0.8 mhi' = 0.787 m H = b+0.25m+himH = 10.869 m b = bi+bsmb = 9.833 m1Nd= 1852 m2hi= 1.573 m214.8921x=Cx*x0x0= 4 m x1= 4.068 mx0= 2.775 m x2= 2.822 mx0= 5.2 m x3= 5.288 mx0= 2.35 m x4= 2.390 mx0= 3 m x5= 3.051 mx0= 3.1 m x6= 3.153 mx0= 0.5 m x7= 0.509 mx0= 3.7 m x8= 3.763 mx0= 0.6 m x9= 0.610 mx0= 4.7 m x10= 4.780 mx0= 1.2 m x11= 1.220 mx0= 0.6 m x12= 0.610 mx0= 4.2 m x13= 4.271 m z0= 0.8 m z1=hi= 0.787 m z0= 3.3 m z2= 3.300 m z0= 5 m z3= 4.916 m z3=bi z0= 0.7 m z4= 0.688 m z4+z5=bs= 4.916 z0= 4.3 m z5= 4.228 m z1+z3=hs= 5.703 z0= 0.7 m z6= 0.688 m0xzzC= b)Calculul influentei corpului navei asupra hidrodinamicii carmei:Coeficient de siaj:1)1')1")Spcj= aria carmei aflata incurentul elicei;w= 0Cd = 1 (carma suspendata in P.D)Spi= 20.060 m Spcj= 26.396 mSps= 21.485 m zpcj= 0.995 mAtrapez mic= 2.135 m Atrapez mic= 4.201 mAtrapez= 19.35 m1) w= 0.1091') wi= 0.2161") ws= 0.379c) Unghiul de deviere al curentului:dc= 0vR =9.733AR= 41.545 AR= aria carmeivA = 6.874[m/s]2CT= 1.582A0= 34.205 m2A0=aria discului elicei2 2 1/ 21 {[ (1 ) (1 ) ]/ }ps i pi s pcjw S w S w S = + [0.68 0.43 0.18 (2 ) / ]i B i i dw C w h b HC o = + + +[0.68 0.43 0.18 (2 ) / ]s B s s dw C W h b HC o = + + +(1 );[ / ]Av v w ms = 1/ 2[1 ( / ) ]R A pcj R Tv v S A C = +20/(0.5 )T p AC T v A =204DAt=R ps piA S S = += 3.141= 1.025 [m/s]kT= 0.163kQ= 0.027j= 0.512d) Calculul unghiului real de atac al carmei:1) Determinarea unghiului maxim de deviere al curentului de fluid, datorita rotirii jetului:ro = 42.243 [ grade ]kT =coeficientul impingerii elicei;kQ=coeficientul momentului rezistent la rotatia elicei.2) Se calculeaza unghiul de deviere al curentului pentru partea de carma scaldata de jetul din discul elicei:em = -0.668Apvjn D=( ) ( )686 1 1 / 1ro Q T T Tk C k C o= + +0,pentru carma din spatele elicei care se roteste spre stanga;0,pentru carma din spatele elicei care se roteste spre dreapta.rorooo>d/R=1

b1= 6.51612 medie a partii de carma aflata in partea superioara a jetului elicei.cmedie a partii de carma aflata in partea inferioara a jetului elicei.c coardacoarda==1/re em pcj RS A o c o =( ) ( )10 1 11 01 12( 2 )1 ( / )T emcmpcj R TCn nnS A Co c ot o t + += ++o[0, 36 ]4opas o e /pb c = =RAcb=11pcjbc =Unghiul real de atac al carmei:= -0.368= -0.368dc= 0ooreocmoo0o-0.425 0.057 0 -0.3684o-0.425 -0.283 -0.707 3.2938o-0.425 -0.623 -1.047 6.95312o-0.425 -0.962 -1.387 10.61316o-0.425 -1.302 -1.726 14.27420o-0.425 -1.641 -2.066 17.93424o-0.425 -1.981 -2.406 21.59428o-0.425 -2.321 -2.745 25.25532o-0.425 -2.66 -3.085 28.91536o-0.425 -3 -3.424 32.576o o o = +Adc re cmo o o o A = + +Calculul coef hidrodinamici ai profilului carmei proiectateCx=f(,)p= = 2.327adoptat=2= [0.36]Corecti ale coeficientului CxCxcor= 0.015 cor= 0.0000.019 3.1010.034 6.5430.057 9.9980.093 13.4150.136 16.8630.212 20.3250.287 24.1330.368 28.1840.439 31.8962pcor y1 1 1, = alungirea reala pentru unghiul1 1 157.3 C ,se corecteazacorx x ypy mpC C C adoptatC C nut oo ot | |= + = | |\ .| |= + = | |\ .Cm=0.00000-0.00004Cm=0.00000 0.000270.00077Apc= 8.903 0.001170.00219 Atrapez mare= 6.287 -0.00677 Atrapez mare= 2.616 0.002530.00002C'p=0.63 0.00019 fm=(c/R)=1.280fm= 11 rad= 180/ 1 rad= 57.307dCy/dcor= 2.7722.8302.6543.1862.7422.566-1.730-4.314-0.6170.952re= -0.00741(radiani)( )2' pc/ Apartii compensate a carmei(aflata in prova axului carmei)

m m p pc R re corcordCy cC f C A A tg ariad R o oo| |A = |\ .re'pse introduce in radieni Ctine cont de curentul aditionao (4 ) (0 )(4 ) (0 )57.3o oy y yo ocor cor cordC C Cd o o o=' '0ymC C A = A =180 .......................................... ..........................................radooreradxtotgcor= 0.000-0.0410.2650.6451.1352.26710.406-1.556-0.0900.521=2p=2.3272[gr]CxCy Cmcor[gr] CxcorCm C*xC*yC*m0 0.015 0.000 0.000 0.000 0.015 0.000 0.015 0.000 0.0004 0.020 0.150 0.030 3.101 0.019 0.000 0.020 0.150 0.0308 0.036 0.320 0.062 6.543 0.034 0.000 0.036 0.320 0.06212 0.063 0.480 0.095 9.998 0.057 0.001 0.063 0.480 0.09616 0.103 0.670 0.136 13.415 0.093 0.001 0.103 0.670 0.13720 0.152 0.835 0.176 16.863 0.136 0.002 0.152 0.835 0.17824 0.234 0.990 0.229 20.325 0.212 -0.007 0.234 0.990 0.22228 0.304 0.875 0.276 24.133 0.287 0.003 0.304 0.875 0.27932 0.375 0.570 0.250 28.184 0.368 0.000 0.375 0.570 0.25036 0.445 0.530 0.273 31.896 0.439 0.000 0.445 0.530 0.273C*y=Cy+C'y= CyC*x= CxcorC*m= Cm+Cm+C'mC*n=C*y+coscor+C*x*sincor=coscor= 1.0000 sincor= 0.00000.9985 0.05410.9935 0.11390.9848 0.17360.9727 0.23200.9570 0.29010.9377 0.34730.9126 0.40890.8814 0.47230.8490 0.5284d1= 0.633771* 2* 2* *0.50.5/nn R Rm R Rr n im nP C v AM C v A cM M P de C c C= = = = d2= 0.845028d3= 1.056285d4= 1.267542d5= 1.478799vR = 9.732789AR=41.54512cpcj=4.500 i=15Mr[Kn*m][gr]C*nC*m Pn[kN] M[kN]d1d2d3d4d50 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0004 0.151 0.030 304.266 271.902 79.067 14.789 -49.490 -113.768 -178.0468 0.322 0.062 649.507 561.523 149.885 12.672 -124.541 -261.754 -398.96712 0.484 0.096 975.340 869.290 251.149 45.101 -160.946 -366.993 -573.04116 0.676 0.137 1362.568 1245.041 381.485 93.633 -194.219 -482.071 -769.92320 0.843 0.178 1700.642 1617.341 539.524 180.251 -179.021 -538.294 -897.56624 1.010 0.222 2036.362 2017.061 726.474 296.279 -133.917 -564.113 -994.30828 0.923 0.279 1861.246 2528.067 1348.463 955.262 562.061 168.860 -224.34132 0.680 0.250 1370.562 2269.338 1400.716 1111.175 821.634 532.094 242.55336 0.685 0.273 1381.799 2479.604 1603.860 1311.9451020.030 728.115 436.201 Se determina lucrul mecanic pentru bandarea carmei:= 0.069808030( ),pentru i=1...4corr r cor iL M d f doo = =}0 1 1 20( ) ( ) ... (2corr r cor r r r r r i rM d M M M M M Mooo oA ( = = + + + + + + }* 2* 2* *0.50.5/nn R Rm R Rr n im nP C v AM C v A cM M P de C c C= = = = d1 d2 d3o Ao[rad] Mr[kN*m] |Mr| Lr Mr[kN*m] |Mr| Lr Mr[kN*m] |Mr|0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0004 0.070 79.067 79.067 2.760 14.789 14.789 0.516 49.490 49.4908 0.070 149.885 308.019 10.751 12.672 42.249 1.475 124.541 223.52012 0.070 251.149 709.052 24.749 45.101 100.023 3.491 160.946 509.00716 0.070 381.485 1341.686 46.830 93.633 238.757 8.334 194.219 864.17220 0.070 539.524 2262.694 78.977 180.251 512.641 17.893 179.021 1237.41324 0.070 726.474 3528.692 123.166 296.279 989.170 34.526 133.917 1550.35128 0.070 1348.463 5603.629 195.589 955.262 2240.711 78.210 562.061 2246.32932 0.070 1400.716 8352.809 291.547 1111.175 4307.148 150.337 821.634 3630.02536 0.070 1603.860 11357.384 396.418 1311.945 6730.268 234.913 1020.030 5471.689Moment hidrodinamic corectat:k1=k21.2LrmaxMrmaxMrmind1 0.634 396.418 1603.860 0d2 0.845 234.913 1311.945 0d3 1.056 190.984 1020.030 194.219d4 1.268 236.789 728.115 564.113d5 1.479 313.916 436.201 994.308o Pn[kN] M[kN*m] Mroptim[kN*m] Mrcoroptim [kN*m] doptim0 0 0 0 0 1.0564 304.3 271.9019 -49.4895774 -71.265 1.0568 649.5 561.5234 -124.540917 -179.339 1.05612 975.3 869.2905 -160.946059 -231.762 1.05616 1363 1245.041 -194.219313 -279.676 1.05620 1701 1617.341 -179.021233 -257.791 1.05624 2036 2017.061 -133.917028 -192.841 1.05628 1861 2528.067 562.061122 809.368 1.05632 1371 2269.338 821.634381 1183.154 1.05636 1382 2479.604 1020.03016 1468.843 1.056optim1 21 21.2corroptim rM M k kk k= = =Cx0.25 0.5 0.75 1 1.5 20 0.01484 0.01998 0.036112 0.062616 0.102820 0.15224 0.23428 0.30432 0.37536 0.44540444852Cy0.25 0.5 0.75 1 1.5 20 0.0004 0.1508 0.32012 0.48016 0.67020 0.83524 0.99028 0.87532 0.57036 0.53040444852d4 d5Mr[kN*m]|Mr| Lr Mr[kN*m]|Mr| Lr0.000 0.000 0.000 0.000 0.000 0.000113.768 113.768 3.971 178.046 178.046 6.215261.754 489.290 17.078 398.967 755.059 26.355366.993 1118.037 39.024 573.041 1727.066 60.282482.071 1967.101 68.660 769.923 3070.030 107.156538.294 2987.466 104.275 897.566 4737.520 165.358564.113 4089.873 142.753 994.308 6629.394 231.392168.860 4822.845 168.337 224.341 7848.044 273.928532.094 5523.799 192.803 242.553 8314.938 290.225728.115 6784.008 236.789 436.201 8993.691 313.9160.00050.000100.000150.000200.000250.000300.000350.000400.000450.0000 0.2 0.4 0.6 0.8 1 1.2 1.4C C Calculul hidrodinamic al carmei la mars inapoi1.Caracteristici cinematice la mars inapoiwb= coeficientul de siaj la mars inapoiwb= 0.05461481w= 0.1092296192.Viteza curentului la pana carmeivpb= viteza curentului de fluid care se scurge pe pana carmei la mars inapoi.vpb= 5.471 m/svb= 5.7875 m/s V= 7.716667 m/s3.Viteza axiala la mars inapoi Se determina viteza axiala a fluidului inainte de a intra in discul elicei:vab= 0.787733 m/sCTb= coeficientul de incarcare al elicei la mars inapoi CTb CT = 1.582kb= 0.322020436x/R= 0.724227x= 2.390R= 3.3004.Viteza curentului de fluid care se scurge pe pana carmeivpb1= 6.259 m/s0.5bw w = (1 )pb b bv v w = 0.75 vbv ~ 0.35 (1 ) ( 1 1)bab pb b Tv v k C = + 1/ 22( / )0.6 ( / )bx Rkx R= ( + 1 pb pb abv v v = +5. b=6.Calculul coeficientilor hidrodinamici la mars inapoi b= 0 [o]4 [o]8 [o]12 [o]16 [o]20 [o]24 [o]28 [o]32 [o]36 [o]Cxb Cyb Cmb 2.00 2.00 2.000 0.033 0 0.000 0 0.0004 0.038 4 0.110 4 -0.1128 0.058 8 0.283 8 -0.25112 0.105 12 0.433 12 -0.38016 0.168 16 0.508 16 -0.43020 0.248 20 0.414 20 -0.43824 0.302 24 0.388 24 -0.38628 0.343 28 0.377 28 -0.39832 0.388 32 0.370 32 -0.47036 36 0.400 36 -0.500= 2p2.3277.Coeficientii Cxb si b se corecteaza cu relatiile:( ), ( ), ( ) se extrag din tabelele 5.13 5.14byb x mbC C C o o o - 021 1 11 1 157.3cor b ycorxb xpb b ybpC C CCt o ot | |= + | |\ .| |= + | |\ .8= 2 p= 2.327b[ o ] CxbCybCmbb corCxbcorCnb0 0.033 0.000 0.000 0.000 0.033 04 0.038 0.110 -0.112 3.859 0.038 0.1123088 0.058 0.283 -0.251 7.637 0.058 0.28819812 0.105 0.433 -0.380 11.445 0.105 0.44522516 0.168 0.508 -0.430 15.349 0.168 0.53434920 0.248 0.414 -0.438 19.469 0.248 0.47298624 0.302 0.388 -0.386 23.502 0.302 0.47624728 0.343 0.377 -0.398 27.517 0.343 0.49282132 0.388 0.370 -0.470 31.526 0.388 0.51826836 0.433 0.400 -0.500 35.487 0.433 0.577063Pnb=vrb=vpb16.259 m/sCnb=Mb=Mrb=df= -3.169Mcorrb=021 1 11 1 157.3cor b ycorxb xpb b ybpC C CCt o ot | |= + | |\ .| |= + | |\ .cos sinb b cor b corn y b x bC C C o o = + 20.5nb nb Rb RP C v A = cos sincornb yb cor xb corC C C o o = + 20.5Rbb mb RM C v A c = rb b nb fM M P d = 1 21 21.2rbcorrbM M K KK K= = =K1=K2= 1.2K1*K2= 1.44b[gr] CnbCmbPnb[kn] Mb[kN/m] Mrb[kN/m] Mcorrb0 0 0.000 0 0.000 0 04 0.112308 -0.112 93.68183717 -394.733 -97.8691034 -140.9328 0.288198 -0.251 240.4004593 -884.625 -122.831263 -176.87712 0.445225 -0.380 371.3847169-1339.273 -162.409294 -233.86916 0.534349 -0.430 445.7280355-1515.493 -103.046331 -148.38720 0.472986 -0.438 394.5418063-1543.689 -293.443253 -422.55824 0.476247 -0.386 397.2617101-1360.420 -101.555297 -146.2428 0.492821 -0.398 411.0866748-1402.713 -100.038842 -144.05632 0.518268 -0.470 432.3133779-1656.470 -286.531561 -412.60536 0.577063 -0.500 481.3580262-1762.202 -236.848326 -341.062McorrbmaxMcorrmax= MAX=>Mr=Mcorrbmax= 422.55828MAXMr= 1468.843Mcorrmax= 1468.8434Mf= (0.100.15)MrMf= 146.8843Mrt= 1615.728Mrt= Mr+MfMrt= 1615.7281 21 21.2rbcorrbM M K KK K= = =Verificarea carmei la caviatatieDate de intrare:h2= 5.45 mc= 4.25 mTp= 1000 kNN= 100 rot/min 1.667 rot/secPD= 14000 Kw= 1.025 t/m3t= 0.15w= 0.3U= 24 Nd 12.347 m/s 1Nd= 1852 mD= 6 m D= 5.900 mr0= 3 m r0= 2.950 mx= 4.5 mCx=1.017= 30[grade]h0= 5 mPozitia pct de calcul:80%rx= 0.8*rx=Se calculeaza:va= U*(1-w)= 8.643 m/sq= 76.563 kPaAD= 27.337 m20xzzC=11.751localww=212Aq v = 24DDAt=x/D= 0.763CTh= 0.478Fig 5.14 vcor/vA= f(x/D, CTh) 1.2 (r+Dr)/r0= f() 0.98vcorr= 10.371 m/sr*r= 2.891vx= 10.550rx= 2.866vmax= 10.7572Q= 1336.902 [kV*m]n rot/s24DDAt=0pThTCA q=00r rr r rr+ A A = corrcorr AAvv vv= 2 2( ) /x corr corrv v tU v = +( )corxxvr r rv= + A max0.12 ( )x corr Av v v v = + 2DPQn t=KQ= 0.066Se determina unghiul de atac al curentului de fluid fata de carma aplicand teorema 5.16J= 0.879KQ/J= 0.085vmax/vA= 1.2450.0681.75= 20.04Se det coef max de portanta CL123.04Ra= 2.27h0/rx=1.744CL1 max= 0.6162 5QKQn D = AvJnD=2maxAKQJvv=11.751localww=L1max a( )C =Rxrco o + [ ] radiani o o + o o + =Se determina depresiunea dinamica (pres negativa) pe fata de suctiune utilizand fig 5.18 pt tipul de carma : HSVA MP 71-20pdyn= -93.109Ra1= -1.57 pdyn< 0p0= 101 *10^3pstatic= 132.7441H=h2-0.8rxH= 3.15739.635D= 2.99522max1[kN/m ]2dyn avp R= 0 staticap p gH = +0statica dynp p + >ESTIMAREA AFUNDARII NAVEI LA ADANCIME LIMITATA"SQUAT"DATE DE INTRARE:LPP= 172.89 mB= 27 mT= 11 mCB= 0.81h= 13 mh/T= 1.182v= 5 6 7 8 9 Ndh= 12 mv= 2 Nd1nod= 1852 m/sCaz1h/T= 1.182MILLWARDBARASSh/T= 1.0912max15 0.552 1 0.9 100nhBnhF B Lz CF| |= | \ .nhvFg h=2max10Bvz C| |= |\ .2max2.6 70 10BB LvT Tz C| | | | |= ||\ . |\ .v[Nd] 2 5 6 7 8 9v[m/s] 1.029 2.572 3.087 3.601 4.116 4.630Fnh0.095 0.237 0.284 0.332 0.379 0.427Fnh2/(1-0.9Fnh) 0.071 0.109 0.157 0.218 0.29615*CB*(B/L)-0.55 1.347 1.347 1.347 1.347 1.347CB*((B/T)/2.6-(L/T)/70) 0.691MILLARD 0.166 0.253 0.366 0.509 0.689zmaxBARASS 0.028 0.173 0.249 0.338 0.442h/T= 0.028Fnh