{"id":4622,"date":"2026-09-21T16:54:15","date_gmt":"2026-09-21T19:54:15","guid":{"rendered":"https:\/\/idugel.com.br\/?p=4622"},"modified":"2026-09-21T16:54:15","modified_gmt":"2026-09-21T19:54:15","slug":"transporte-pneumatico-dimensionamento","status":"publish","type":"post","link":"https:\/\/idugel.com.br\/en\/transporte-pneumatico-dimensionamento\/","title":{"rendered":"Transporte Pneum\u00e1tico: fase dilu\u00edda, fase densa e pr\u00e9-dimensionamento"},"content":{"rendered":"<div class=\"wp-block-bplugins-custom-html\" id='bPluginsCustomHtml-1'>\n<!-- ============================================================\n  KIT DE EFEITOS IDUGEL para posts do WordPress (colar 1x por post,\n  num bloco \"HTML personalizado\", ANTES das se\u00e7\u00f5es que usam os efeitos)\n  Classes dispon\u00edveis:\n   .idgfx-hero        -> se\u00e7\u00e3o cinematogr\u00e1fica (glow + grain + vignette + part\u00edculas + parallax)\n   .idgfx-reveal      -> aparece ao rolar (varia\u00e7\u00f5es: -left 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O transporte mais flex\u00edvel da ind\u00fastria \u2014 e o que mais cobra em energia quando mal dimensionado.<\/p>\n<\/div>\n\n<div style=\"max-width:760px;margin:0 auto;font-family:'Montserrat',Arial,sans-serif;color:#3a2a23;line-height:1.75;font-size:17px\">\n\n<p>Elevador de canecas, redler e rosca movem o produto com pe\u00e7as mec\u00e2nicas percorrendo o caminho. O transporte pneum\u00e1tico troca tudo isso por <strong>ar em movimento dentro de uma tubula\u00e7\u00e3o<\/strong>. Sem correia, sem corrente, sem estrutura ao longo do trajeto: s\u00f3 tubo, curvas e um soprador.<\/p>\n\n<p>Isso muda o jogo do layout. O tubo desvia de uma coluna, sobe uma parede, atravessa a rua e chega em quatro silos diferentes. Nenhum transportador mec\u00e2nico faz isso com a mesma facilidade. Em compensa\u00e7\u00e3o, o ar cobra o pre\u00e7o: <strong>transporte pneum\u00e1tico consome, tipicamente, v\u00e1rias vezes mais energia por tonelada que um equivalente mec\u00e2nico<\/strong>. Escolher pneum\u00e1tico \u00e9 trocar energia por flexibilidade \u2014 e essa troca precisa ser consciente.<\/p>\n\n<h2 style=\"color:#631402;font-weight:800;margin:38px 0 14px;font-size:27px\">Como funciona<\/h2>\n<p>O sistema tem quatro partes essenciais: a <strong>fonte de ar<\/strong> (soprador, compressor ou bomba de v\u00e1cuo), o <strong>ponto de alimenta\u00e7\u00e3o<\/strong> (normalmente uma v\u00e1lvula rotativa, que introduz o produto sem deixar o ar escapar), a <strong>tubula\u00e7\u00e3o<\/strong> com suas curvas, e a <strong>separa\u00e7\u00e3o<\/strong> no destino (ciclone e\/ou filtro de mangas, que devolvem o produto e limpam o ar). 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x=\"460\" y=\"42\" fill=\"#E0A32E\" font-family=\"monospace\" font-size=\"11.5\" letter-spacing=\"1.5\" text-anchor=\"end\">TRANSPORTE PNEUM\u00c1TICO<\/text>\n<line x1=\"20\" y1=\"68\" x2=\"460\" y2=\"68\" stroke=\"rgba(246,242,234,.16)\" stroke-width=\"1.5\"\/>\n<text x=\"44\" y=\"238\" fill=\"#E4C6BA\" font-family=\"monospace\" font-size=\"10\" text-anchor=\"middle\">SOPRADOR<\/text>\n<text x=\"178\" y=\"112\" fill=\"#E4C6BA\" font-family=\"monospace\" font-size=\"10\" text-anchor=\"middle\">PRODUTO<\/text>\n<text x=\"178\" y=\"200\" fill=\"#E0A32E\" font-family=\"monospace\" font-size=\"9.5\" text-anchor=\"middle\">V\u00c1LVULA<\/text>\n<text x=\"369\" y=\"84\" fill=\"#E0A32E\" font-family=\"monospace\" font-size=\"10\" text-anchor=\"middle\">CICLONE<\/text>\n<text x=\"430\" y=\"88\" fill=\"#E4C6BA\" font-family=\"monospace\" font-size=\"9\" text-anchor=\"middle\">AR LIMPO<\/text>\n\n<!-- soprador -->\n<rect x=\"18\" y=\"168\" width=\"52\" height=\"50\" rx=\"9\" fill=\"rgba(11,6,5,.35)\" stroke=\"rgba(246,242,234,.30)\" stroke-width=\"2\"\/>\n<g transform=\"translate(44,193)\"><g class=\"pn-fan\">\n  <path d=\"M0 -15 L5 0 L-5 0 Z\" fill=\"#E4C6BA\"\/><path d=\"M0 15 L-5 0 L5 0 Z\" fill=\"#E4C6BA\"\/>\n  <path d=\"M-15 0 L0 -5 L0 5 Z\" fill=\"#E4C6BA\"\/><path d=\"M15 0 L0 5 L0 -5 Z\" fill=\"#E4C6BA\"\/>\n<\/g><circle r=\"3\" fill=\"#E0A32E\"\/><\/g>\n<!-- tubulacao: horizontal + curva + vertical -->\n<path d=\"M70 193 L352 193 Q369 193 369 176 L369 128\" fill=\"none\" stroke=\"rgba(246,242,234,.22)\" stroke-width=\"34\" stroke-linecap=\"round\"\/>\n<path d=\"M70 193 L352 193 Q369 193 369 176 L369 128\" fill=\"none\" stroke=\"rgba(246,242,234,.45)\" stroke-width=\"2\"\/>\n<g clip-path=\"url(#pn_hz)\"><g transform=\"translate(100,186)\"><g class=\"pn-h\" style=\"animation-delay:-0.0s\"><circle r=\"2.2\" fill=\"url(#pn_mat)\"\/><\/g><\/g><g transform=\"translate(136,194)\"><g class=\"pn-h\" style=\"animation-delay:-0.12s\"><circle r=\"3.0\" fill=\"url(#pn_mat)\"\/><\/g><\/g><g transform=\"translate(172,202)\"><g class=\"pn-h\" style=\"animation-delay:-0.24s\"><circle r=\"2.2\" fill=\"url(#pn_mat)\"\/><\/g><\/g><g transform=\"translate(208,186)\"><g class=\"pn-h\" style=\"animation-delay:-0.36s\"><circle r=\"3.0\" fill=\"url(#pn_mat)\"\/><\/g><\/g><g transform=\"translate(244,194)\"><g class=\"pn-h\" style=\"animation-delay:-0.48s\"><circle r=\"2.2\" fill=\"url(#pn_mat)\"\/><\/g><\/g><g transform=\"translate(280,202)\"><g class=\"pn-h\" style=\"animation-delay:-0.6s\"><circle r=\"3.0\" fill=\"url(#pn_mat)\"\/><\/g><\/g><g transform=\"translate(316,186)\"><g class=\"pn-h\" style=\"animation-delay:-0.72s\"><circle r=\"2.2\" fill=\"url(#pn_mat)\"\/><\/g><\/g><g transform=\"translate(352,194)\"><g class=\"pn-h\" style=\"animation-delay:-0.84s\"><circle r=\"3.0\" fill=\"url(#pn_mat)\"\/><\/g><\/g><\/g>\n<g clip-path=\"url(#pn_vt)\"><g transform=\"translate(361,202)\"><g class=\"pn-v\" style=\"animation-delay:-0.0s\"><circle r=\"2.2\" fill=\"url(#pn_mat)\"\/><\/g><\/g><g transform=\"translate(369,172)\"><g class=\"pn-v\" style=\"animation-delay:-0.15s\"><circle r=\"2.8\" fill=\"url(#pn_mat)\"\/><\/g><\/g><g transform=\"translate(377,142)\"><g class=\"pn-v\" style=\"animation-delay:-0.3s\"><circle r=\"2.2\" fill=\"url(#pn_mat)\"\/><\/g><\/g><g transform=\"translate(361,112)\"><g class=\"pn-v\" style=\"animation-delay:-0.44999999999999996s\"><circle r=\"2.8\" fill=\"url(#pn_mat)\"\/><\/g><\/g><\/g>\n<!-- valvula rotativa + tremonha -->\n<path d=\"M150 150 L206 150 L194 120 L162 120 Z\" fill=\"rgba(246,242,234,.10)\" stroke=\"#E4C6BA\" stroke-width=\"1.5\"\/>\n<g fill=\"url(#pn_mat)\"><circle class=\"pn-fall\" cx=\"172\" cy=\"126\" r=\"2.6\"\/><circle class=\"pn-fall\" cx=\"182\" cy=\"126\" r=\"2.2\" style=\"animation-delay:-.7s\"\/><\/g>\n<circle cx=\"178\" cy=\"166\" r=\"17\" fill=\"rgba(11,6,5,.45)\" stroke=\"#E0A32E\" stroke-width=\"2\"\/>\n<g transform=\"translate(178,166)\"><g class=\"pn-rv\">\n  <line x1=\"0\" y1=\"-14\" x2=\"0\" y2=\"14\" stroke=\"#E0A32E\" stroke-width=\"2.4\"\/>\n  <line x1=\"-14\" y1=\"0\" x2=\"14\" y2=\"0\" stroke=\"#E0A32E\" stroke-width=\"2.4\"\/>\n  <line x1=\"-10\" y1=\"-10\" x2=\"10\" y2=\"10\" stroke=\"#E0A32E\" stroke-width=\"2\"\/>\n  <line x1=\"-10\" y1=\"10\" x2=\"10\" y2=\"-10\" stroke=\"#E0A32E\" stroke-width=\"2\"\/>\n<\/g><\/g>\n<!-- ciclone -->\n<path d=\"M344 112 L394 112 L394 88 L344 88 Z\" fill=\"rgba(246,242,234,.08)\" stroke=\"#E4C6BA\" stroke-width=\"1.6\"\/>\n<path d=\"M344 112 L394 112 L374 138 L364 138 Z\" fill=\"rgba(224,163,46,.14)\" stroke=\"#E0A32E\" stroke-width=\"1.6\"\/>\n<path d=\"M394 99 L432 99\" stroke=\"rgba(246,242,234,.35)\" stroke-width=\"7\" stroke-linecap=\"round\"\/>\n<g class=\"pn-air\"><circle cx=\"418\" cy=\"99\" r=\"2\" fill=\"rgba(246,242,234,.55)\"\/><\/g>\n\n<text x=\"240\" y=\"272\" fill=\"#BE9683\" font-family=\"monospace\" font-size=\"10.5\" letter-spacing=\"1.2\" text-anchor=\"middle\">O AR CARREGA \u00b7 O TUBO CONDUZ \u00b7 O CICLONE SEPARA<\/text>\n<style>\n.pn-h{animation:pnH 1.5s linear infinite}@keyframes pnH{from{transform:translateX(0)}to{transform:translateX(36px)}}\n.pn-v{animation:pnV 1.5s linear infinite}@keyframes pnV{from{transform:translateY(0)}to{transform:translateY(-30px)}}\n.pn-fan{animation:pnSpin .5s linear infinite;transform-box:view-box;transform-origin:44px 193px}\n@keyframes pnSpin{to{transform:rotate(360deg)}}\n.pn-rv{animation:pnRv 2.4s linear infinite;transform-box:view-box;transform-origin:178px 166px}\n@keyframes pnRv{to{transform:rotate(360deg)}}\n.pn-fall{animation:pnFall 1.5s ease-in infinite}@keyframes pnFall{0%{transform:translateY(-6px);opacity:0}30%{opacity:1}100%{transform:translateY(34px);opacity:0}}\n.pn-air{animation:pnAir 2s linear infinite}@keyframes pnAir{0%{transform:translateX(-14px);opacity:0}30%{opacity:.9}100%{transform:translateX(16px);opacity:0}}\n@media (prefers-reduced-motion:reduce){.pn-h,.pn-v,.pn-fan,.pn-rv,.pn-fall,.pn-air{animation:none}}\n<\/style>\n<\/svg>\n<\/div><\/div>\n\n<div style=\"max-width:760px;margin:0 auto;font-family:'Montserrat',Arial,sans-serif;color:#3a2a23;line-height:1.75;font-size:17px\">\n<h2 style=\"color:#631402;font-weight:800;margin:38px 0 14px;font-size:27px\">Os dois regimes: dilu\u00edda e densa<\/h2>\n<p>Quase toda decis\u00e3o de projeto come\u00e7a por aqui.<\/p>\n<\/div>\n<div style=\"max-width:760px;margin:0 auto\">\n  <div class=\"idgfx-glass idgfx-reveal idgfx-left\"><strong style=\"color:#8D1410\">Fase dilu\u00edda<\/strong><br>Ar r\u00e1pido (ordem de 18 a 30 m\/s) e pouca carga de s\u00f3lido por quilo de ar. O produto viaja suspenso, como poeira numa ventania. Sistema mais simples e mais barato \u2014 mas o atrito em alta velocidade desgasta curvas e pode quebrar gr\u00e3o e floco.<\/div>\n  <div class=\"idgfx-glass idgfx-reveal idgfx-right\"><strong style=\"color:#8D1410\">Fase densa<\/strong><br>Ar lento (ordem de 2 a 8 m\/s) e muita carga por quilo de ar. O produto anda em tamp\u00f5es pelo tubo, quase empurrado. Preserva a granulometria e reduz desgaste, mas exige mais press\u00e3o, vasos pressurizados e controle mais elaborado.<\/div>\n  <div class=\"idgfx-glass idgfx-reveal idgfx-left\"><strong style=\"color:#8D1410\">Press\u00e3o ou v\u00e1cuo?<\/strong><br>Press\u00e3o positiva serve bem para um ponto de carga e v\u00e1rios destinos. V\u00e1cuo \u00e9 a escolha natural para recolher de v\u00e1rios pontos para um s\u00f3 destino \u2014 e mant\u00e9m o p\u00f3 para dentro em caso de vazamento.<\/div>\n<\/div>\n\n<div style=\"max-width:760px;margin:0 auto;font-family:'Montserrat',Arial,sans-serif;color:#3a2a23;line-height:1.75;font-size:17px\">\n<h2 style=\"color:#631402;font-weight:800;margin:38px 0 14px;font-size:27px\">Os par\u00e2metros que mandam no projeto<\/h2>\n<ul style=\"line-height:1.9\">\n<li><strong>Vaz\u00e3o de s\u00f3lidos (\u1e41<sub>s<\/sub>)<\/strong> \u2014 quanto produto por hora precisa chegar do outro lado.<\/li>\n<li><strong>Rela\u00e7\u00e3o de carga (\u03bc)<\/strong> \u2014 quilos de produto por quilo de ar. \u00c9 o par\u00e2metro que separa dilu\u00edda (ordem de 1 a 15) de densa (acima disso). Quanto maior \u03bc, menos ar para a mesma produ\u00e7\u00e3o \u2014 e mais press\u00e3o.<\/li>\n<li><strong>Velocidade do ar (v)<\/strong> \u2014 precisa ficar <em>acima<\/em> da velocidade de salta\u00e7\u00e3o do material (aquela abaixo da qual o produto deita no fundo do tubo horizontal) e com margem. Velocidade demais, por\u00e9m, s\u00f3 gera desgaste e quebra.<\/li>\n<li><strong>Di\u00e2metro do tubo (D)<\/strong> \u2014 sai da vaz\u00e3o de ar e da velocidade escolhida: A = Q<sub>ar<\/sub>\/v.<\/li>\n<li><strong>Comprimento equivalente (L<sub>eq<\/sub>)<\/strong> \u2014 o trecho horizontal, mais o vertical (que pesa mais), mais um acr\u00e9scimo por curva. Curva custa caro em perda de carga.<\/li>\n<li><strong>Perda de carga (\u0394p)<\/strong> \u2014 define o soprador. Em fase dilu\u00edda fica tipicamente abaixo de 1 bar; acima disso o projeto migra para outra classe de m\u00e1quina.<\/li>\n<\/ul>\n\n<h2 style=\"color:#631402;font-weight:800;margin:38px 0 14px;font-size:27px\">Exemplo resolvido<\/h2>\n<p>Transportar <strong>10 t\/h de farinha de trigo<\/strong> em fase dilu\u00edda: <strong>40 m na horizontal<\/strong>, <strong>15 m de subida<\/strong> e <strong>3 curvas<\/strong>. Adotamos rela\u00e7\u00e3o de carga \u03bc = 6, velocidade de ar v = 22 m\/s, densidade do ar \u03c1<sub>ar<\/sub> = 1,2 kg\/m\u00b3 e rendimento global do conjunto soprador + acionamento \u03b7 = 0,60.<\/p>\n<ol style=\"line-height:2\">\n<li><strong>Vaz\u00e3o m\u00e1ssica de s\u00f3lidos:<\/strong> \u1e41<sub>s<\/sub> = 10 t\/h \u00f7 3,6 \u2248 <strong>2,78 kg\/s<\/strong><\/li>\n<li><strong>Ar necess\u00e1rio:<\/strong> \u1e41<sub>ar<\/sub> = \u1e41<sub>s<\/sub>\/\u03bc = 2,78\/6 \u2248 <strong>0,46 kg\/s<\/strong> \u2192 Q<sub>ar<\/sub> = 0,46\/1,2 \u2248 <strong>0,386 m\u00b3\/s (\u2248 1.390 m\u00b3\/h)<\/strong><\/li>\n<li><strong>Di\u00e2metro do tubo:<\/strong> A = Q<sub>ar<\/sub>\/v = 0,386\/22 \u2248 0,0175 m\u00b2 \u2192 D \u2248 <strong>149 mm<\/strong> (comercial: DN 150)<\/li>\n<li><strong>Comprimento equivalente:<\/strong> L<sub>eq<\/sub> = 40 + 2\u00d715 + 3\u00d78 = <strong>94 m<\/strong><\/li>\n<li><strong>Perda de carga do ar limpo:<\/strong> \u0394p<sub>ar<\/sub> = \u03bb\u00b7(L<sub>eq<\/sub>\/D)\u00b7(\u03c1<sub>ar<\/sub>\u00b7v\u00b2\/2) = 0,02\u00d7(94\/0,15)\u00d7290 \u2248 <strong>3.640 Pa<\/strong><\/li>\n<li><strong>Com o s\u00f3lido e a eleva\u00e7\u00e3o:<\/strong> \u0394p \u2248 \u0394p<sub>ar<\/sub>\u00b7(1+2\u03bc) + \u03bc\u00b7\u03c1<sub>ar<\/sub>\u00b7g\u00b7H \u2248 47.300 + 1.060 \u2248 <strong>48.400 Pa (\u2248 0,48 bar)<\/strong><\/li>\n<li><strong>Pot\u00eancia no eixo:<\/strong> P = Q<sub>ar<\/sub>\u00b7\u0394p\/\u03b7 = 0,386\u00d748.400\/0,60 \u2248 <strong>31,1 kW<\/strong> \u2192 motor padronizado <strong>37 kW<\/strong><\/li>\n<li><strong>Energia espec\u00edfica:<\/strong> 31,1 kW \u00f7 10 t\/h \u2248 <strong>3,1 kWh por tonelada<\/strong><\/li>\n<\/ol>\n<p style=\"background:#f6f2ea;border-left:5px solid #E0A32E;padding:14px 18px;border-radius:8px\"><strong>Leitura de engenheiro:<\/strong> aqueles 3,1 kWh\/t s\u00e3o o n\u00famero que ningu\u00e9m mostra no folder \u2014 e s\u00e3o a ess\u00eancia da decis\u00e3o. Um redler faria o mesmo trajeto horizontal com uma fra\u00e7\u00e3o dessa energia, mas n\u00e3o desviaria da coluna, n\u00e3o atenderia quatro destinos e ocuparia o espa\u00e7o que voc\u00ea n\u00e3o tem. O pneum\u00e1tico n\u00e3o \u00e9 &#8220;melhor&#8221;: \u00e9 a solu\u00e7\u00e3o certa quando o layout e a limpeza valem mais do que o kWh.<\/p>\n<p style=\"background:#f6f2ea;border-left:5px solid #8D1410;padding:14px 18px;border-radius:8px\"><strong>Importante:<\/strong> o coeficiente que multiplica a perda de carga pelo s\u00f3lido e a velocidade m\u00ednima de salta\u00e7\u00e3o <em>dependem do material real<\/em> \u2014 granulometria, umidade, coesividade e abrasividade mudam tudo. Farinha, gritz, milho inteiro e pellet se comportam de formas diferentes no mesmo tubo. Por isso projeto executivo de pneum\u00e1tico s\u00e9rio parte de dados do material, n\u00e3o s\u00f3 de f\u00f3rmula.<\/p>\n<\/div>\n\n<!-- ===================== CALCULADORA ===================== -->\n<div id=\"pn-calc\" style=\"max-width:760px;margin:30px auto;background:linear-gradient(160deg,#2B0D04,#180601);border-radius:18px;padding:34px 28px;font-family:'Montserrat',Arial,sans-serif;color:#F6F2EA\">\n  <div style=\"font-family:monospace;letter-spacing:.25em;font-size:12px;color:#E0A32E;text-transform:uppercase;border-bottom:2px solid #E0A32E;display:inline-block;padding-bottom:6px;margin-bottom:18px\">Calculadora \u00b7 Pr\u00e9-dimensionamento<\/div>\n  <h3 style=\"font-weight:900;font-size:26px;margin:0 0 18px;text-transform:uppercase\">Dimensione seu sistema pneum\u00e1tico<\/h3>\n  <div style=\"display:grid;grid-template-columns:repeat(auto-fit,minmax(150px,1fr));gap:14px\">\n    <label style=\"font-size:13px;color:#BE9683\">Produ\u00e7\u00e3o (t\/h)<input id=\"pn_q\" type=\"number\" value=\"10\" step=\"any\"><\/label>\n    <label style=\"font-size:13px;color:#BE9683\">Rela\u00e7\u00e3o de carga \u03bc<input id=\"pn_mu\" type=\"number\" value=\"6\" step=\"any\"><\/label>\n    <label style=\"font-size:13px;color:#BE9683\">Velocidade do ar (m\/s)<input id=\"pn_v\" type=\"number\" value=\"22\" step=\"any\"><\/label>\n    <label style=\"font-size:13px;color:#BE9683\">Horizontal L (m)<input id=\"pn_lh\" type=\"number\" value=\"40\" step=\"any\"><\/label>\n    <label style=\"font-size:13px;color:#BE9683\">Eleva\u00e7\u00e3o H (m)<input id=\"pn_h\" type=\"number\" value=\"15\" step=\"any\"><\/label>\n    <label style=\"font-size:13px;color:#BE9683\">N\u00ba de curvas<input id=\"pn_c\" type=\"number\" value=\"3\" step=\"any\"><\/label>\n    <label style=\"font-size:13px;color:#BE9683\">Densidade do ar (kg\/m\u00b3)<input id=\"pn_rho\" type=\"number\" value=\"1.2\" step=\"any\"><\/label>\n    <label style=\"font-size:13px;color:#BE9683\">Rendimento \u03b7 (0\u20131)<input id=\"pn_eta\" type=\"number\" value=\"0.60\" step=\"any\"><\/label>\n  <\/div>\n  <div id=\"pn_out\" style=\"margin-top:22px;display:grid;grid-template-columns:repeat(auto-fit,minmax(150px,1fr));gap:12px\"><\/div>\n  <div id=\"pn_alert\" style=\"margin-top:16px;font-size:14px;line-height:1.5\"><\/div>\n  <p style=\"font-size:12px;color:#8d7568;margin-top:18px\">Estimativa de pr\u00e9-dimensionamento em fase dilu\u00edda, com coeficientes m\u00e9dios (\u03bb = 0,02; fator do s\u00f3lido 2\u03bc; 8 m equivalentes por curva). O projeto executivo depende das caracter\u00edsticas reais do material \u2014 velocidade de salta\u00e7\u00e3o, abrasividade, umidade e coesividade \u2014 al\u00e9m da sele\u00e7\u00e3o de v\u00e1lvula rotativa, ciclone, filtro e tubula\u00e7\u00e3o. Fale com a engenharia Idugel.<\/p>\n<\/div>\n<style>\n  #pn-calc input{width:100%;margin-top:5px;padding:9px 10px;border-radius:8px;border:1px solid rgba(224,163,46,.35);background:rgba(246,242,234,.06);color:#F6F2EA;font-size:16px;font-family:monospace}\n  #pn-calc input:focus{outline:none;border-color:#E0A32E}\n  .pn-card{background:rgba(246,242,234,.05);border:1px solid rgba(246,242,234,.12);border-top:3px solid #E0A32E;border-radius:12px;padding:16px 14px;text-align:center}\n  .pn-card b{display:block;font-size:24px;font-weight:900;color:#F6F2EA;line-height:1.1;font-variant-numeric:tabular-nums}\n  .pn-card span{font-size:11px;letter-spacing:.10em;text-transform:uppercase;color:#BE9683}\n<\/style>\n<script>\n(function(){\n  var ids=['q','mu','v','lh','h','c','rho','eta'], el={};\n  ids.forEach(function(k){ el[k]=document.getElementById('pn_'+k); });\n  var out=document.getElementById('pn_out'), alert=document.getElementById('pn_alert');\n  var MOT=[0.75,1.1,1.5,2.2,3,4,5.5,7.5,11,15,18.5,22,30,37,45,55,75,90,110,132,160,200];\n  function card(v,l){return '<div class=\"pn-card\"><b>'+v+'<\/b><span>'+l+'<\/span><\/div>';}\n  function calc(){\n    var Q=+el.q.value, mu=+el.mu.value, v=+el.v.value, LH=+el.lh.value,\n        H=+el.h.value, nc=+el.c.value, rho=+el.rho.value, eta=+el.eta.value;\n    if(!(Q>0&&mu>0&&v>0&&rho>0&&eta>0)||LH<0||H<0||nc<0){\n      out.innerHTML=''; alert.innerHTML='<span style=\"color:#E0A32E\">Preencha os campos com valores v\u00e1lidos.<\/span>'; return;}\n    var ms=Q\/3.6;                      \/\/ kg\/s de s\u00f3lido\n    var mar=ms\/mu;                     \/\/ kg\/s de ar\n    var Qar=mar\/rho;                   \/\/ m\u00b3\/s\n    var A=Qar\/v, D=Math.sqrt(4*A\/Math.PI);\n    var Leq=LH+2*H+nc*8;\n    var dpAr=0.02*(Leq\/D)*(rho*v*v\/2);\n    var dp=dpAr*(1+2*mu)+mu*rho*9.81*H;\n    var P=Qar*dp\/eta\/1000;             \/\/ kW\n    var mot=MOT.find(function(m){return m>=P;})||Math.ceil(P);\n    var esp=P\/Q;                       \/\/ kWh\/t\n    out.innerHTML=\n      card((Qar*3600).toFixed(0)+' <small style=\"font-size:12px\">m\u00b3\/h<\/small>','Vaz\u00e3o de ar')+\n      card((D*1000).toFixed(0)+' <small style=\"font-size:12px\">mm<\/small>','Di\u00e2metro do tubo')+\n      card(Leq.toFixed(0)+' <small style=\"font-size:12px\">m<\/small>','Compr. equivalente')+\n      card((dp\/1000).toFixed(1)+' <small style=\"font-size:12px\">kPa<\/small>','Perda de carga')+\n      card(P.toFixed(1)+' <small style=\"font-size:12px\">kW<\/small>','Pot\u00eancia no eixo')+\n      card(mot+' <small style=\"font-size:12px\">kW<\/small>','Motor sugerido')+\n      card(esp.toFixed(2)+' <small style=\"font-size:12px\">kWh\/t<\/small>','Energia espec\u00edfica');\n    var msgs=[];\n    if(mu>15) msgs.push('<span style=\"color:#E0A32E\">\u26a0 \u03bc acima de 15 sai da fase dilu\u00edda \u2014 o c\u00e1lculo acima n\u00e3o representa fase densa. Fale com a engenharia.<\/span>');\n    if(v<16) msgs.push('<span style=\"color:#E0A32E\">\u26a0 Velocidade baixa para fase dilu\u00edda: risco de deposi\u00e7\u00e3o no tubo horizontal (salta\u00e7\u00e3o). Verifique com o material real.<\/span>');\n    if(v>32) msgs.push('<span style=\"color:#E0A32E\">\u26a0 Velocidade muito alta: desgaste acelerado em curvas e quebra de gr\u00e3o\/floco.<\/span>');\n    if(dp>100000) msgs.push('<span style=\"color:#E0A32E\">\u26a0 Perda de carga acima de 1 bar: fora da faixa usual de soprador roots em est\u00e1gio \u00fanico \u2014 reavalie di\u00e2metro, \u03bc ou a rota.<\/span>');\n    if(!msgs.length) msgs.push('<span style=\"color:#7ED9A0\">\u2714 Par\u00e2metros dentro das faixas usuais de fase dilu\u00edda. A velocidade final deve ser confirmada com dados do material.<\/span>');\n    alert.innerHTML=msgs.join('<br>');\n  }\n  ids.forEach(function(k){ el[k].addEventListener('input',calc); });\n  calc();\n})();\n<\/script>\n\n<!-- ======= PONTE PARA O SIMULADOR IDUFLOW ======= -->\n<div style=\"max-width:760px;margin:28px auto\">\n  <div class=\"idgfx-glass idgfx-dark idgfx-reveal idgfx-zoom\" style=\"text-align:center;padding:36px 30px\">\n    <div style=\"font-family:monospace;letter-spacing:.24em;font-size:12px;color:#E0A32E;text-transform:uppercase;margin-bottom:10px\">Pr\u00f3ximo passo \u00b7 IduFlow<\/div>\n    <h3 style=\"font-weight:900;font-size:clamp(22px,3.4vw,30px);text-transform:uppercase;color:#F6F2EA;margin:0 0 14px;line-height:1.2\">Do pr\u00e9-dimensionamento<br>ao soprador certo<\/h3>\n    <p style=\"font-weight:300;font-size:17px;line-height:1.75;color:#E4C6BA;max-width:560px;margin:0 auto\">A calculadora acima d\u00e1 a ordem de grandeza do sistema. Para chegar ao equipamento, use o <strong style=\"color:#F6F2EA\">IduFlow<\/strong> \u2014 o nosso dimensionador de transporte pneum\u00e1tico. Voc\u00ea informa o produto, a capacidade e o trajeto; ele calcula o <strong style=\"color:#F6F2EA\">ponto de opera\u00e7\u00e3o<\/strong> e indica o <strong style=\"color:#F6F2EA\">soprador compat\u00edvel<\/strong> com a sua aplica\u00e7\u00e3o.<\/p>\n    <p style=\"margin:24px 0 0\"><a class=\"idgfx-cta idgfx-glow\" href=\"https:\/\/sopradores.grupoidugel.com\/dimensionar\" target=\"_blank\" rel=\"noopener\">DIMENSIONAR MEU SOPRADOR \u2192<\/a><\/p>\n    <p style=\"font-family:monospace;font-size:12px;color:#BE9683;margin:16px 0 0\">sopradores.grupoidugel.com<\/p>\n  <\/div>\n<\/div>\n\n<div style=\"max-width:760px;margin:0 auto;font-family:'Montserrat',Arial,sans-serif;color:#3a2a23;line-height:1.75;font-size:17px\">\n<h2 style=\"color:#631402;font-weight:800;margin:38px 0 14px;font-size:27px\">O que muita gente erra<\/h2>\n<\/div>\n<div style=\"max-width:760px;margin:0 auto\">\n  <div class=\"idgfx-glass idgfx-reveal\"><strong style=\"color:#8D1410\">Escolher o soprador s\u00f3 pela vaz\u00e3o.<\/strong> Vaz\u00e3o sem press\u00e3o n\u00e3o transporta nada. O par vaz\u00e3o \u00d7 perda de carga \u00e9 que define a m\u00e1quina \u2014 e a perda de carga \u00e9 justamente a parte dif\u00edcil de estimar.<\/div>\n  <div class=\"idgfx-glass idgfx-reveal\"><strong style=\"color:#8D1410\">Rodar abaixo da velocidade de salta\u00e7\u00e3o.<\/strong> O produto deita no fundo do tubo horizontal, a se\u00e7\u00e3o livre diminui, a press\u00e3o sobe e o sistema entope. Economizar ar at\u00e9 o limite \u00e9 o caminho mais curto para a parada.<\/div>\n  <div class=\"idgfx-glass idgfx-reveal\"><strong style=\"color:#8D1410\">Encher o tra\u00e7ado de curvas.<\/strong> Cada curva custa perda de carga, desgaste e quebra de produto. Curva de raio longo e trajeto bem pensado valem mais que qualquer acess\u00f3rio caro.<\/div>\n  <div class=\"idgfx-glass idgfx-reveal\"><strong style=\"color:#8D1410\">Esquecer a v\u00e1lvula rotativa.<\/strong> Folga errada deixa o ar vazar de volta; material abrasivo come o rotor. \u00c9 a pe\u00e7a que mais define disponibilidade \u2014 e a que menos aparece no or\u00e7amento.<\/div>\n  <div class=\"idgfx-glass idgfx-reveal\"><strong style=\"color:#8D1410\">Tratar poeira combust\u00edvel como detalhe.<\/strong> Sistema fechado reduz a emiss\u00e3o para o ambiente, mas concentra p\u00f3 em tubula\u00e7\u00e3o, ciclone e filtro. Aterramento, preven\u00e7\u00e3o de fontes de igni\u00e7\u00e3o e as prote\u00e7\u00f5es adequadas ao processo fazem parte do projeto, n\u00e3o do &#8220;depois&#8221;.<\/div>\n<\/div>\n\n<div class=\"idgfx-hero\" style=\"padding:60px 32px;margin-top:34px\">\n  <div class=\"idgfx-kicker\">Linha Idugel<\/div>\n  <h2 class=\"idgfx-title\" style=\"font-size:clamp(26px,4.5vw,42px)\">O sistema <em>inteiro<\/em>, n\u00e3o s\u00f3 o tubo<\/h2>\n  <p>Sopradores, v\u00e1lvulas rotativas, v\u00e1lvulas desviadoras de fluxo, tubula\u00e7\u00e3o em inox, ciclones e filtros \u2014 projetados, integrados e assistidos no Brasil, para moinhos, f\u00e1bricas de ra\u00e7\u00e3o e agroind\u00fastria.<\/p>\n  <p style=\"margin-top:22px\"><a class=\"idgfx-cta idgfx-glow\" href=\"https:\/\/sopradores.grupoidugel.com\/dimensionar\" target=\"_blank\" rel=\"noopener\">DIMENSIONAR NO IDUFLOW \u2192<\/a><\/p>\n  <p style=\"margin-top:18px;font-size:15px\"><a href=\"https:\/\/idugel.com.br\" target=\"_blank\" rel=\"noopener\" style=\"color:#E0A32E;text-decoration:underline\">ou fale direto com a engenharia Idugel<\/a><\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Como funciona o transporte pneum\u00e1tico de farinha e gr\u00e3os, a diferen\u00e7a entre fase dilu\u00edda e densa e os par\u00e2metros de pr\u00e9-dimensionamento \u2014 com exemplo resolvido e calculadora interativa.<\/p>","protected":false},"author":2,"featured_media":4620,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[283],"tags":[446,370,443,440,445,175,444],"class_list":["post-4622","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-artigos-tecnicos","tag-equipamentos-para-moinhos","tag-fase-densa","tag-fase-diluida-2","tag-moagem-de-graos","tag-soprador","tag-transporte-pneumatico","tag-valvula-rotativa"],"_links":{"self":[{"href":"https:\/\/idugel.com.br\/en\/wp-json\/wp\/v2\/posts\/4622","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/idugel.com.br\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/idugel.com.br\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/idugel.com.br\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/idugel.com.br\/en\/wp-json\/wp\/v2\/comments?post=4622"}],"version-history":[{"count":2,"href":"https:\/\/idugel.com.br\/en\/wp-json\/wp\/v2\/posts\/4622\/revisions"}],"predecessor-version":[{"id":4626,"href":"https:\/\/idugel.com.br\/en\/wp-json\/wp\/v2\/posts\/4622\/revisions\/4626"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/idugel.com.br\/en\/wp-json\/wp\/v2\/media\/4620"}],"wp:attachment":[{"href":"https:\/\/idugel.com.br\/en\/wp-json\/wp\/v2\/media?parent=4622"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/idugel.com.br\/en\/wp-json\/wp\/v2\/categories?post=4622"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/idugel.com.br\/en\/wp-json\/wp\/v2\/tags?post=4622"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}