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Lista OP P2 Ciclone
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Questão 1 Questão 1- Ciclone Dados Valor Unidade Fórmulas T 323 K P 1 atm L= 2*Dc Zc= 2*Dc ρp 1200 kg/m³ Ds=Dc/2 J=Dc/4 ρ 1.0949180699 kg/m³ B=Dc/4 H=Dc/2 Vazão 3 m³/s ɳ 0.87 v Dc Lc H B J Ds Zc H (conferir) Resposta Dp 0.00005 m 10 2.3719834103945394 4.7439668207890788 1.1859917051972697 0.59299585259863485 0.59299585259863485 1.1859917051972697 4.7439668207890788 0.50590573051284549 MM 29 g/mol 9.9 2.3482635762905937 4.6965271525811874 1.1741317881452968 0.58706589407264842 0.58706589407264842 1.1741317881452968 4.6965271525811874 0.51617766606759052 R 0.082 9.8000000000000007 2.3245437421866488 4.6490874843732977 1.1622718710933244 0.58113593554666221 0.58113593554666221 1.1622718710933244 4.6490874843732977 0.52676565026327093 µ 1.96E-05 Pa.s 9.6999999999999993 2.3008239080827031 4.6016478161654062 1.1504119540413515 0.57520597702067577 0.57520597702067577 1.1504119540413515 4.6016478161654062 0.53768278298740102 D' 1.6666666666666667E-5 m 9.6 2.2771040739787574 4.5542081479575147 1.1385520369893787 0.56927601849468934 0.56927601849468934 1.1385520369893787 4.5542081479575147 0.54894284994883413 9.5 2.2533842398748121 4.5067684797496241 1.126692119937406 0.56334605996870302 0.56334605996870302 1.126692119937406 4.5067684797496241 0.56056036621921945 9.4 2.2296644057708668 4.4593288115417336 1.1148322028854334 0.55741610144271669 0.55741610144271669 1.1148322028854334 4.4593288115417336 0.5725506230340035 9.3000000000000007 2.2059445716669219 4.4118891433338439 1.102972285833461 0.55148614291673048 0.55148614291673048 1.102972285833461 4.4118891433338439 0.58492973813486571 9.1999999999999993 2.1822247375629762 4.3644494751259524 1.0911123687814881 0.54555618439074405 0.54555618439074405 1.0911123687814881 4.3644494751259524 0.59771470996319176 9.1 2.1585049034590309 4.3170098069180618 1.0792524517295154 0.53962622586475772 0.53962622586475772 1.0792524517295154 4.3170098069180618 0.61092347604497699 9 2.1347850693550856 4.2695701387101712 1.0673925346775428 0.5336962673387714 0.5336962673387714 1.0673925346775428 4.2695701387101712 0.62457497594178446 8.9 2.1110652352511399 4.2221304705022797 1.0555326176255699 0.52776630881278497 0.52776630881278497 1.0555326176255699 4.2221304705022797 0.63868921918046395 8.8000000000000007 2.087345401147195 4.17469080229439 1.0436727005735975 0.52183635028679876 0.52183635028679876 1.0436727005735975 4.17469080229439 0.6532873586167941 8.6999999999999993 2.0636255670432488 4.1272511340864977 1.0318127835216244 0.51590639176081221 0.51590639176081221 1.0318127835216244 4.1272511340864977 0.66839176973556025 8.6 2.0399057329393036 4.0798114658786071 1.0199528664696518 0.50997643323482589 0.50997643323482589 1.0199528664696518 4.0798114658786071 0.68402613644246291 8.5000000000000107 2.0161858988353605 4.032371797670721 1.0080929494176802 0.50404647470884012 0.50404647470884012 1.0080929494176802 4.032371797670721 0.70021554396241437 8.4000000000000092 1.9924660647314154 3.9849321294628308 0.9962330323657077 0.49811651618285385 0.49811651618285385 0.9962330323657077 3.9849321294628308 0.71698657952500611 8.3000000000000096 1.9687462306274697 3.9374924612549393 0.98437311531373484 0.49218655765686742 0.49218655765686742 0.98437311531373484 3.9374924612549393 0.73436744159216782 8.2000000000000099 1.9450263965235244 3.8900527930470488 0.97251319826176219 0.4862565991308811 0.4862565991308811 0.97251319826176219 3.8900527930470488 0.75238805846645496 8.1000000000000103 1.9213065624195791 3.8426131248391582 0.96065328120978954 0.48032664060489477 0.48032664060489477 0.96065328120978954 3.8426131248391582 0.77108021721207787 8.0000000000000107 1.8975867283156336 3.7951734566312672 0.94879336415781679 0.47439668207890839 0.47439668207890839 0.94879336415781679 3.7951734566312672 0.79047770392631922 7.9000000000000101 1.8738668942116885 3.747733788423377 0.93693344710584425 0.46846672355292213 0.46846672355292213 0.93693344710584425 3.747733788423377 0.81061645651793646 7.8000000000000096 1.850147060107743 3.700294120215486 0.9250735300538715 0.46253676502693575 0.46253676502693575 0.9250735300538715 3.700294120215486 0.83153473128343891 7.7 1.826427226 3.652854452 0.913213613 0.4566068065 0.4566068065 0.913213613 3.652854452 0.8532732847 OK 7.6 1.8027073919 3.6054147838 0.9013536959 0.450676848 0.450676848 0.9013536959 3.6054147838 0.8758755722 OK 7.5 1.7789875578 3.5579751156 0.8894937789 0.4447468894 0.4447468894 0.8894937789 3.5579751156 0.8993879654 OK 7.4 1.7552677237 3.5105354474 0.8776338618 0.4388169309 0.4388169309 0.8776338618 3.5105354474 0.92385999 OK 7.3 1.7315478896 3.4630957792 0.8657739448 0.4328869724 0.4328869724 0.8657739448 3.4630957792 0.9493445872 OK 7.2000000000000099 1.7078280554840706 3.4156561109681411 0.85391402774203529 0.42695701387101764 0.42695701387101764 0.85391402774203529 3.4156561109681411 0.97589839990903571 7.1000000000000103 1.6841082213801255 3.368216442760251 0.84205411069006275 0.42102705534503138 0.42102705534503138 0.84205411069006275 3.368216442760251 1.003582087904868 7.0000000000000098 1.66038838727618 3.32077677455236 0.83019419363808999 0.415097096819045 0.415097096819045 0.83019419363808999 3.32077677455236 1.0324606745160083 6.9000000000000101 1.6366685531722343 3.2733371063444685 0.81833427658611713 0.40916713829305856 0.40916713829305856 0.81833427658611713 3.2733371063444685 1.0626039288234492 6.8000000000000096 1.612948719068289 3.2258974381365779 0.80647435953414448 0.40323717976707224 0.40323717976707224 0.80647435953414448 3.2258974381365779 1.0940867874412719 6.7000000000000099 1.5892288849643437 3.1784577699286873 0.79461444248217183 0.39730722124108592 0.39730722124108592 0.79461444248217183 3.1784577699286873 1.1269898207013678 6.6000000000000103 1.5655090508603984 3.1310181017207968 0.78275452543019919 0.39137726271509959 0.39137726271509959 0.78275452543019919 3.1310181017207968 1.1613997486520751 6.5000000000000098 1.5417892167564526 3.0835784335129053 0.77089460837822632 0.38544730418911316 0.38544730418911316 0.77089460837822632 3.0835784335129053 1.1974100130481518 6.4000000000000101 1.5180693826525073 3.0361387653050147 0.75903469132625367 0.37951734566312684 0.37951734566312684 0.75903469132625367 3.0361387653050147 1.2351214123848731 6.3000000000000096 1.4943495485485618 2.9886990970971237 0.74717477427428092 0.37358738713714046 0.37358738713714046 0.74717477427428092 2.9886990970971237 1.2746428080444545 6.2000000000000099 1.4706297144446168 2.9412594288892335 0.73531485722230838 0.36765742861115419 0.36765742861115419 0.73531485722230838 2.9412594288892335 1.3160919108034441 6.1000000000000103 1.4469098803406713 2.8938197606813425 0.72345494017033563 0.36172747008516781 0.36172747008516781 0.72345494017033563 2.8938197606813425 1.3595961583252993 6.0000000000000098 1.423190046236726 2.8463800924734519 0.71159502311836298 0.35579751155918149 0.35579751155918149 0.71159502311836298 2.8463800924734519 1.4052936958690108 5.9000000000000101 1.3994702121327804 2.7989404242655609 0.69973510606639022 0.34986755303319511 0.34986755303319511 0.69973510606639022 2.7989404242655609 1.4533344743258942 5.8000000000000096 1.3757503780288352 2.7515007560576703 0.68787518901441758 0.34393759450720879 0.34393759450720879 0.68787518901441758 2.7515007560576703 1.5038814819050055 5.7000000000000197 1.3520305439248921 2.7040610878497842 0.67601527196244604 0.33800763598122302 0.33800763598122302 0.67601527196244604 2.7040610878497842 1.5571121283867098 5.6000000000000201 1.3283107098209468 2.6566214196418936 0.66415535491047339 0.3320776774552367 0.3320776774552367 0.66415535491047339 2.6566214196418936 1.613219803931256 5.5000000000000204 1.3045908757170013 2.6091817514340025 0.65229543785850064 0.32614771892925032 0.32614771892925032 0.65229543785850064 2.6091817514340025 1.6724156380589812 5.4000000000000199 1.280871041613056 2.561742083226112 0.64043552080652799 0.320217760403264 0.320217760403264 0.64043552080652799 2.561742083226112 1.7349304887271666 5.3000000000000203 1.2571512075091105 2.5143024150182209 0.62857560375455523 0.31428780187727762 0.31428780187727762 0.62857560375455523 2.5143024150182209 1.8010171965569304 5.2000000000000197 1.233431373405165 2.4668627468103299 0.61671568670258248 0.30835784335129124 0.30835784335129124 0.61671568670258248 2.4668627468103299 1.8709531453877284 5.1000000000000201 1.2097115393012197 2.4194230786024393 0.60485576965060983 0.30242788482530492 0.30242788482530492 0.60485576965060983 2.4194230786024393 1.9450431776733623 5.0000000000000204 1.1859917051972746 2.3719834103945492 0.5929958525986373 0.29649792629931865 0.29649792629931865 0.5929958525986373 2.3719834103945492 2.0236229220513651 Questão 1 (2) Questão 1- Ciclone Dados Valor Unidade Fórmulas T 323 K P 1 atm L= 2*Dc Zc= 2*Dc ρp 1200 kg/m³ Ds=Dc/2 J=Dc/4 ρ 1.0949180699 kg/m³ B=Dc/4 H=Dc/2 Vazão 3 m³/s ɳ 0.87 v Dc Lc H B J Ds Zc Q (conferir) Resposta Dp 0.00005 m 7.52770520968547 1.785559187571448 3.5711183751428961 0.89277959378572402 0.44638979689286201 0.44638979689286201 0.89277959378572402 3.5711183751428961 2.9999990550873958 OK MM 29 g/mol 9.9 2.3482635762905937 4.6965271525811874 1.1741317881452968 0.58706589407264842 0.58706589407264842 1.1741317881452968 4.6965271525811874 6.8239980068696982 R 0.082 9.8000000000000007 2.3245437421866488 4.6490874843732977 1.1622718710933244 0.58113593554666221 0.58113593554666221 1.1622718710933244 4.6490874843732977 6.6192919214404089 µ 1.96E-05 Pa.s 9.6999999999999993 2.3008239080827031 4.6016478161654062 1.1504119540413515 0.57520597702067577 0.57520597702067577 1.1504119540413515 4.6016478161654062 6.418721170406017 D' 1.6666666666666667E-5 m 9.6 2.2771040739787574 4.5542081479575147 1.1385520369893787 0.56927601849468934 0.56927601849468934 1.1385520369893787 4.5542081479575147 6.2222435564767853 9.5 2.2533842398748121 4.5067684797496241 1.126692119937406 0.56334605996870302 0.56334605996870302 1.126692119937406 4.5067684797496241 6.0298168823629688 9.4 2.2296644057708668 4.4593288115417336 1.1148322028854334 0.55741610144271669 0.55741610144271669 1.1148322028854334 4.4593288115417336 5.8413989507748241 9.3000000000000007 2.2059445716669219 4.4118891433338439 1.102972285833461 0.55148614291673048 0.55148614291673048 1.102972285833461 4.4118891433338439 5.6569475644226088 9.1999999999999993 2.1822247375629762 4.3644494751259524 1.0911123687814881 0.54555618439074405 0.54555618439074405 1.0911123687814881 4.3644494751259524 5.4764205260165699 9.1 2.1585049034590309 4.3170098069180618 1.0792524517295154 0.53962622586475772 0.53962622586475772 1.0792524517295154 4.3170098069180618 5.2997756382669738 9 2.1347850693550856 4.2695701387101712 1.0673925346775428 0.5336962673387714 0.5336962673387714 1.0673925346775428 4.2695701387101712 5.1269707038840728 8.9 2.1110652352511399 4.2221304705022797 1.0555326176255699 0.52776630881278497 0.52776630881278497 1.0555326176255699 4.2221304705022797 4.95796352557812 8.8000000000000007 2.087345401147195 4.17469080229439 1.0436727005735975 0.52183635028679876 0.52183635028679876 1.0436727005735975 4.17469080229439 4.7927119060593792 8.6999999999999993 2.0636255670432488 4.1272511340864977 1.0318127835216244 0.51590639176081221 0.51590639176081221 1.0318127835216244 4.1272511340864977 4.6311736480380956 8.6 2.0399057329393036 4.0798114658786071 1.0199528664696518 0.50997643323482589 0.50997643323482589 1.0199528664696518 4.0798114658786071 4.4733065542245347 8.5000000000000107 2.0161858988353605 4.032371797670721 1.0080929494176802 0.50404647470884012 0.50404647470884012 1.0080929494176802 4.032371797670721 4.3190684273289648 8.4000000000000092 1.9924660647314154 3.9849321294628308 0.9962330323657077 0.49811651618285385 0.49811651618285385 0.9962330323657077 3.9849321294628308 4.1684170700616123 8.3000000000000096 1.9687462306274697 3.9374924612549393 0.98437311531373484 0.49218655765686742 0.49218655765686742 0.98437311531373484 3.9374924612549393 4.0213102851327447 8.2000000000000099 1.9450263965235244 3.8900527930470488 0.97251319826176219 0.4862565991308811 0.4862565991308811 0.97251319826176219 3.8900527930470488 3.877705875252623 8.1000000000000103 1.9213065624195791 3.8426131248391582 0.96065328120978954 0.48032664060489477 0.48032664060489477 0.96065328120978954 3.8426131248391582 3.7375616431315013 8.0000000000000107 1.8975867283156336 3.7951734566312672 0.94879336415781679 0.47439668207890839 0.47439668207890839 0.94879336415781679 3.7951734566312672 3.6008353914796349 7.9000000000000101 1.8738668942116885 3.747733788423377 0.93693344710584425 0.46846672355292213 0.46846672355292213 0.93693344710584425 3.747733788423377 3.4674849230072819 7.8000000000000096 1.850147060107743 3.700294120215486 0.9250735300538715 0.46253676502693575 0.46253676502693575 0.9250735300538715 3.700294120215486 3.3374680404246955 7.7 1.826427226 3.652854452 0.913213613 0.4566068065 0.4566068065 0.913213613 3.652854452 3.2107425464421344 7.6 1.8027073919 3.6054147838 0.9013536959 0.450676848 0.450676848 0.9013536959 3.6054147838 3.0872662437698524 7.5 1.7789875578 3.5579751156 0.8894937789 0.4447468894 0.4447468894 0.8894937789 3.5579751156 2.9669969351181078 OK 7.4 1.7552677237 3.5105354474 0.8776338618 0.4388169309 0.4388169309 0.8776338618 3.5105354474 2.8498924231971565 7.3 1.7315478896 3.4630957792 0.8657739448 0.4328869724 0.4328869724 0.8657739448 3.4630957792 2.7359105107172534 7.2000000000000099 1.7078280554840706 3.4156561109681411 0.85391402774203529 0.42695701387101764 0.42695701387101764 0.85391402774203529 3.4156561109681411 2.6250090003886553 7.1000000000000103 1.6841082213801255 3.368216442760251 0.84205411069006275 0.42102705534503138 0.42102705534503138 0.84205411069006275 3.368216442760251 2.5171456949216191 7.0000000000000098 1.66038838727618 3.32077677455236 0.83019419363808999 0.415097096819045 0.415097096819045 0.83019419363808999 3.32077677455236 2.4122783970263977 6.9000000000000101 1.6366685531722343 3.2733371063444685 0.81833427658611713 0.40916713829305856 0.40916713829305856 0.81833427658611713 3.2733371063444685 2.3103649094132499 6.8000000000000096 1.612948719068289 3.2258974381365779 0.80647435953414448 0.40323717976707224 0.40323717976707224 0.80647435953414448 3.2258974381365779 2.211363034792432 6.7000000000000099 1.5892288849643437 3.1784577699286873 0.79461444248217183 0.39730722124108592 0.39730722124108592 0.79461444248217183 3.1784577699286873 2.1152305758741998 6.6000000000000103 1.5655090508603984 3.1310181017207968 0.78275452543019919 0.39137726271509959 0.39137726271509959 0.78275452543019919 3.1310181017207968 2.0219253353688091 6.5000000000000098 1.5417892167564526 3.0835784335129053 0.77089460837822632 0.38544730418911316 0.38544730418911316 0.77089460837822632 3.0835784335129053 1.9314051159865142 6.4000000000000101 1.5180693826525073 3.0361387653050147 0.75903469132625367 0.37951734566312684 0.37951734566312684 0.75903469132625367 3.0361387653050147 1.8436277204375746 6.3000000000000096 1.4943495485485618 2.9886990970971237 0.74717477427428092 0.37358738713714046 0.37358738713714046 0.74717477427428092 2.9886990970971237 1.7585509514322442 6.2000000000000099 1.4706297144446168 2.9412594288892335 0.73531485722230838 0.36765742861115419 0.36765742861115419 0.73531485722230838 2.9412594288892335 1.6761326116807802 6.1000000000000103 1.4469098803406713 2.8938197606813425 0.72345494017033563 0.36172747008516781 0.36172747008516781 0.72345494017033563 2.8938197606813425 1.5963305038934377 6.0000000000000098 1.423190046236726 2.8463800924734519 0.71159502311836298 0.35579751155918149 0.35579751155918149 0.71159502311836298 2.8463800924734519 1.519102430780473 5.9000000000000101 1.3994702121327804 2.7989404242655609 0.69973510606639022 0.34986755303319511 0.34986755303319511 0.69973510606639022 2.7989404242655609 1.4444061950521425 5.8000000000000096 1.3757503780288352 2.7515007560576703 0.68787518901441758 0.34393759450720879 0.34393759450720879 0.68787518901441758 2.7515007560576703 1.3721995994187022 5.7000000000000197 1.3520305439248921 2.7040610878497842 0.67601527196244604 0.33800763598122302 0.33800763598122302 0.67601527196244604 2.7040610878497842 1.3024404465904151 5.6000000000000201 1.3283107098209468 2.6566214196418936 0.66415535491047339 0.3320776774552367 0.3320776774552367 0.66415535491047339 2.6566214196418936 1.2350865392775237 5.5000000000000204 1.3045908757170013 2.6091817514340025 0.65229543785850064 0.32614771892925032 0.32614771892925032 0.65229543785850064 2.6091817514340025 1.1700956801902904 5.4000000000000199 1.280871041613056 2.561742083226112 0.64043552080652799 0.320217760403264 0.320217760403264 0.64043552080652799 2.561742083226112 1.1074256720389717 5.3000000000000203 1.2571512075091105 2.5143024150182209 0.62857560375455523 0.31428780187727762 0.31428780187727762 0.62857560375455523 2.5143024150182209 1.0470343175338235 5.2000000000000197 1.233431373405165 2.4668627468103299 0.61671568670258248 0.30835784335129124 0.30835784335129124 0.61671568670258248 2.4668627468103299 0.98887941938510215 5.1000000000000201 1.2097115393012197 2.4194230786024393 0.60485576965060983 0.30242788482530492 0.30242788482530492 0.60485576965060983 2.4194230786024393 0.93291878030306419 5.0000000000000204 1.1859917051972746 2.3719834103945492 0.5929958525986373 0.29649792629931865 0.29649792629931865 0.5929958525986373 2.3719834103945492 0.87911020299796561 Questão 2 Questão 2- Ciclone Dados Valor Unidade Cálculos ρp 2500 kg/m³ ρ 1.2 kg/m³ B=Dc/4 → B= 0.22500000000000001 m Vazão 1.4 m³/s H=Dc/2 → H= 0.45 m Dp 2.50E-05 m µ 1.96E-05 Pa.s → V= 13.827160493827158 m/s Dc 0.9 m N 5 RPM → D'= 6.0484413654398867E-6 m 4.13E+00 A partir do gráfico da eficiência de coleta de um ciclone temos que pela razão de Dp/D' igual a aproximadamente 4,0 temos um valor de ɳ de relativamente 0,93, o que corresponde a uma eficiência de 93%. Questão 3 Questão 3- Ciclone Dados Valor Unidade Dc 0.508000 m V 15 m/s LETRA b) Dp=? ρp 3000 kg/m³ Dados Valor Unidade µ 1.96E-05 Pa.s Para cálculo da densidade do ar MM 29 g/mol → ρ= 0.7476924664 kg/m³ R 8.2000000000000003E-2 atm.L/mol.K LETRA a) Q=? T 473 K P 1 atm B= 0.127 m →D'= 0.000003982302 m N 5 H= 0.254 m A partir da eficiência de 95%, no gráfico é possivel encontrar a relação: Dp= 0.0000179204 m Q= 0.48387000000000002 m³/s Como trata-se de um conjuto de ciclones em paralelo a vazão total é dada por Q= 1.45161 m³/s Questão 4 Questão 4- Ciclone Dados Valor Unidade Dc 0.500000 m → B= 0.125 m ρp 1000 kg/m³ µ 1.96E-05 Pa.s MM 29 g/mol → ρ= 0.97426594100651742 kg/m³ R 8.2000000000000003E-2 atm.L/mol.K T 363 K P 1 atm → D'= 0.0000068455 m N 5 O valor do diâmetro de corte deu diferente ao valor dado v 15 m/s no enunciado.Logo, partículas maiores que 6,8455E-5 são coletadas a eficiência superior a 95%. Eficiência D' Dp 0.95 0.0000068455 0.0000308048 Questão 5 Questão 5- Ciclone Dados Valor Unidade Dc 0.508000 m V 15 m/s LETRA b) Dp=? ρp 3000 kg/m³ Dados Valor Unidade µ 1.96E-05 Pa.s Para cálculo da densidade do ar MM 29 g/mol → ρ= 0.7476924664 kg/m³ R 8.2000000000000003E-2 atm.L/mol.K LETRA a) Q=? T 473 K P 1 atm B= 0.127 m →D'= 3.98E-06 m N 5 H= 0.254 m A partir da eficiência de 95%, no gráfico é possivel encontrar a relação: Dp= 0.0000179204 m Q= 0.48387000000000002 m³/s Como trata-se de um conjuto de ciclones em paralelo a vazão total é dada por Q= 1.45161 m³/s Questão 6 Questão 6- Ciclone Dados Valor Unidade Lapple Dc1 0.636000 m Para ciclone 1 Dc2 0.45 m/s Q 0.46166666666666667 m³/s 0.159 m µ 1.70E-05 Pa.s ρgas 1.10E+00 kg/m³ ρp 2500 kg/m³ ɳ= 1.00000 D*=Dcorte 1.73E-05 m Para ciclone 2 0.1125 m ɳ= 1.0000000 Questão 7 Questão 7- Ciclone Dados Valor Unidade Cálculos Dcorte=D' 0.000040 m ρp 1550 kg/m³ Para cálculo da densidade do ar I 9.50E-01 → ρ= 0.73221229106701002 kg/m³ MM 29 g/mol R 8.2000000000000003E-2 atm.L/mol.K T 483 K →B= 6.5967635947535213 P 1 atm N 5 sabendo que v 20 m/s viscosidade 2.622E-5 Pa.s Dc= 26.387054379014085 Logo, H= 13.193527189507043 Com isso temos que Q= 1740.6915970026159 Calculando número de ciclones N= 1.340463375218917E-3 Conferindo a vazão de cada ciclone Qi= 1740.6915970026159 Questão 8 Questão 8- Ciclone
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