{"id":19084,"date":"2025-08-20T15:15:52","date_gmt":"2025-08-20T07:15:52","guid":{"rendered":"https:\/\/stark-water.com\/?page_id=19084"},"modified":"2025-08-20T17:12:28","modified_gmt":"2025-08-20T09:12:28","slug":"dimensionamento-de-ro","status":"publish","type":"page","link":"https:\/\/stark-water.com\/pt\/calculadoras-para-tratamento-de-aguas\/dimensionamento-de-ro\/","title":{"rendered":"Assistente de dimensionamento de RO (4040 \/ 8040)"},"content":{"rendered":"<figure class=\"wp-block-image aligncenter size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/stark-water.com\/wp-content\/uploads\/2025\/08\/stark-water-tools-ro-banner-4040-8040-1024x683.png\" alt=\"Vasos de press\u00e3o de membrana RO (4040\/8040) em skid de a\u00e7o inoxid\u00e1vel - sistema de tratamento de \u00e1gua por osmose inversa\" class=\"wp-image-19185\" title=\"\" srcset=\"https:\/\/stark-water.com\/wp-content\/uploads\/2025\/08\/stark-water-tools-ro-banner-4040-8040-1024x683.png 1024w, https:\/\/stark-water.com\/wp-content\/uploads\/2025\/08\/stark-water-tools-ro-banner-4040-8040-300x200.png 300w, https:\/\/stark-water.com\/wp-content\/uploads\/2025\/08\/stark-water-tools-ro-banner-4040-8040-768x512.png 768w, https:\/\/stark-water.com\/wp-content\/uploads\/2025\/08\/stark-water-tools-ro-banner-4040-8040-18x12.png 18w, https:\/\/stark-water.com\/wp-content\/uploads\/2025\/08\/stark-water-tools-ro-banner-4040-8040-600x400.png 600w, https:\/\/stark-water.com\/wp-content\/uploads\/2025\/08\/stark-water-tools-ro-banner-4040-8040.png 1536w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption><\/figcaption><\/figure>\n\n\n\n<style>\n#rosize{font-family:system-ui,-apple-system,Segoe UI,Roboto,Ubuntu,Arial,sans-serif;max-width:980px;margin:0 auto;border:1px solid #e5e7eb;border-radius:14px;padding:16px;background:#fff}\n#rosize h1{font-size:24px;margin:0 0 6px}\n#rosize .sub{color:#64748b;font-size:14px;margin-bottom:10px}\n#rosize .grid{display:grid;grid-template-columns:repeat(4,minmax(0,1fr));gap:12px}\n#rosize .field{display:flex;flex-direction:column;font-size:14px}\n#rosize .field input,#rosize .field select{padding:8px;border:1px solid #cbd5e1;border-radius:10px}\n#rosize .bar{display:flex;gap:10px;flex-wrap:wrap;margin-top:10px}\n#rosize .btn{padding:8px 12px;border:1px solid #0f172a;border-radius:10px;background:#0f172a;color:#fff;cursor:pointer}\n#rosize .btn.alt{background:#fff;color:#0f172a}\n#rosize .sum{background:#fafafa;border:1px solid #eee;border-radius:10px;padding:12px;margin-top:12px;font-size:14px}\n@media(max-width:1000px){#rosize .grid{grid-template-columns:repeat(2,minmax(0,1fr))}}\n@media(max-width:560px){#rosize .grid{grid-template-columns:1fr}}\n<\/style>\n\n<div id=\"rosize\" aria-label=\"Assistente de dimensionamento de RO\">\n  <h1>Assistente de dimensionamento de RO (4040\/8040)<\/h1>\n  <div class=\"sub\">Estimativa r\u00e1pida da contagem de elementos e do fluxo operacional. Janela de edi\u00e7\u00e3o de \u00e1rea\/fluxo por fornecedor; liga\u00e7\u00e3o partilh\u00e1vel e exporta\u00e7\u00e3o CSV.<\/div>\n\n  <div class=\"grid\">\n    <div class=\"field\"><label>Valor do fluxo<\/label><input id=\"szFlow\" value=\"1000\"><\/div>\n    <div class=\"field\"><label>Unidade<\/label>\n      <select id=\"szUnit\"><option value=\"LPH\">LPH<\/option><option value=\"M3H\">m\u00b3\/h<\/option><option value=\"GPM\">GPM<\/option><\/select>\n    <\/div>\n    <div class=\"field\"><label>Tipo de elemento<\/label>\n      <select id=\"szType\"><option value=\"4040\">4040<\/option><option value=\"8040\">8040<\/option><\/select>\n    <\/div>\n    <div class=\"field\"><label>\u00c1rea por elemento (m\u00b2)<\/label><input id=\"szArea\" value=\"7.9\"><\/div>\n\n    <div class=\"field\"><label>Fluxo m\u00ednimo de projeto (Lmh)<\/label><input id=\"szFluxMin\" value=\"12\"><\/div>\n    <div class=\"field\"><label>Fluxo m\u00e1ximo de projeto (Lmh)<\/label><input id=\"szFluxMax\" value=\"20\"><\/div>\n    <div class=\"field\"><label>Temperatura (\u00b0C)<\/label><input id=\"szTemp\" value=\"25\"><\/div>\n    <div class=\"field\"><label>Nota<\/label><input value=\"Early estimate; verify with vendor software\" disabled><\/div>\n  <\/div>\n\n  <div class=\"bar\">\n    <button class=\"btn\" id=\"szCalcBtn\">Calcular<\/button>\n    <button class=\"btn alt\" id=\"szShareBtn\">Partilhar defini\u00e7\u00f5es<\/button>\n    <button class=\"btn alt\" id=\"szCsvBtn\">Descarregar CSV<\/button>\n    <button class=\"btn alt\" id=\"szResetBtn\">Reiniciar<\/button>\n  <\/div>\n\n  <div class=\"sum\" id=\"szOut\">Sugest\u00e3o: 4040\u22487,9 m\u00b2\uff0c8040\u224837 m\u00b2\uff1bfluxo \u7a97\u53e3\u5e38\u89c1 12-20 Lmh\uff08\u6309\u54c1\u724c\u4e0e\u6c34\u578b\u5fae\u8c03\uff09\u3002<\/div>\n<\/div>\n\n<script>\n(function(){\n  const box=document.getElementById('rosize'); const $=s=>box.querySelector(s);\n  function num(v){return parseFloat(String(v).replace(\/[^0-9.,-]\/g,'').replace(',', '.'))||0}\n  function flowToM3H(val,unit){const f=num(val); if(unit==='LPH')return f\/1000; if(unit==='GPM')return f*0.2271247; return f}\n  function csvDownload(name,text){const a=document.createElement('a'); a.href='data:text\/csv;charset=utf-8,'+encodeURIComponent(text); a.download=name; a.click();}\n\n  function calc(){\n    let Qm3h = flowToM3H($('#szFlow').value, $('#szUnit').value);\n    const type = $('#szType').value;\n    const area = num($('#szArea').value || (type==='4040'?7.9:37));\n    const fmin = Math.max(1,num($('#szFluxMin').value));\n    const fmax = Math.max(fmin+0.1,num($('#szFluxMax').value)); \/\/ guard\n    const T = num($('#szTemp').value);\n\n    \/\/ \u76ee\u6807\u603b\u819c\u9762\u79ef\u7a97\u53e3\uff08m\u00b2\uff09\n    const areaNeedAtMaxFlux = (Qm3h*1000)\/fmax; \/\/ \u901f\u7387\u9ad8\u2192\u9762\u79ef\u9700\u6c42\u4f4e\n    const nByMaxFlux = Math.ceil(areaNeedAtMaxFlux\/area);\n    \/\/ \u4ee5\u4e0d\u8d85\u8fc7 fmax \u4e3a\u539f\u5219\uff0c\u4f18\u5148\u53d6 nByMaxFlux\n    let n = Math.max(1, nByMaxFlux);\n\n    \/\/ \u8ba1\u7b97\u63a8\u8350 n \u4e0b\u7684\u5b9e\u9645\u901a\u91cf\n    const perElemFlux = (Qm3h*1000)\/(n*area); \/\/ Lmh\n    let badge = (perElemFlux<fmin)?'Flux low \u2013 consider reducing elements or raising design flux'\n              : (perElemFlux>fmax)?'Flux high \u2013 consider adding elements or lowering flux'\n              : 'Flux OK';\n\n    const perElemLoad = Qm3h\/Math.max(1,n); \/\/ m\u00b3\/h\u00b7elem\n\n    $('#szOut').innerHTML = `\n      <b>Recommended elements:<\/b> ${n} \u00d7 ${type} (area\u2248${area} m\u00b2 each)<br>\n      <b>Operating flux:<\/b> ${perElemFlux.toFixed(1)} Lmh \u2014 ${badge}<br>\n      <b>Per-element load:<\/b> ${perElemLoad.toFixed(2)} m\u00b3\/h\u00b7elem<br>\n      <small>Temp ${T}\u00b0C note: real flux\/\u0394P vary with temperature, recovery, salinity and fouling. 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O resultado \u00e9 uma r\u00e1pida <em>contagem de elementos<\/em> apenas; a contagem final dos recipientes, a disposi\u00e7\u00e3o e o equil\u00edbrio da press\u00e3o requerem software de conce\u00e7\u00e3o do fornecedor e verifica\u00e7\u00e3o das condi\u00e7\u00f5es do local.<\/p>\n\n  <h2>Explica\u00e7\u00e3o das entradas<\/h2>\n  <ul>\n    <li><strong>Valor do fluxo<\/strong> - caudal do processo em condi\u00e7\u00f5es de funcionamento (por exemplo, 1000 LPH). A ferramenta aceita LPH ou m<sup>3<\/sup>\/h; certifique-se de que a sua unidade corresponde ao seletor.<\/li>\n    <li><strong>Janela de fluxo de projeto<\/strong> - fluxo m\u00ednimo\/m\u00e1ximo em Lmh (L\/m\u00b2-h). Pontos de partida t\u00edpicos:\n      <ul>\n        <li>4040: <strong>10-25 Lmh<\/strong> (dependente da aplica\u00e7\u00e3o e da qualidade da \u00e1gua)<\/li>\n        <li>8040: <strong>8-18 Lmh<\/strong> (menor fluxo para TDS\/temperatura mais elevada)<\/li>\n      <\/ul>\n      O fluxo aumenta com a temperatura e diminui com a viscosidade e o risco de incrusta\u00e7\u00e3o.\n    <\/li>\n    <li><strong>Tipo de elemento<\/strong> - 4040 ou 8040. (Afecta apenas a \u00e1rea predefinida; \u00e9 poss\u00edvel substituir).<\/li>\n    <li><strong>\u00c1rea por elemento<\/strong> - m\u00b2 de \u00e1rea de membrana ativa por elemento. N\u00fameros redondos t\u00edpicos:\n      <ul>\n        <li>4040 \u2248 <strong>7.9 m\u00b2<\/strong> por elemento (varia consoante o modelo)<\/li>\n        <li>8040 \u2248 <strong>37-41 m\u00b2<\/strong> por elemento (dependente do fornecedor\/modelo)<\/li>\n      <\/ul>\n    <\/li>\n    <li><strong>Temperatura<\/strong> - \u00b0C a que a instala\u00e7\u00e3o funciona. Utilizar a mesma temperatura de refer\u00eancia que ser\u00e1 utilizada nas verifica\u00e7\u00f5es de fluxo.<\/li>\n    <li><strong>Nota<\/strong> - texto livre para lembrar aos futuros utilizadores quais os pressupostos utilizados (salinidade, recupera\u00e7\u00e3o, pr\u00e9-tratamento, etc.).<\/li>\n  <\/ul>\n\n  <h2>F\u00f3rmulas r\u00e1pidas (o que o widget faz)<\/h2>\n  <p>O fluxo em Lmh \u00e9 definido como <em>Fluxo = Fluxo \u00f7 \u00c1rea<\/em>. Reorganizada para dimensionamento, a \u00e1rea necess\u00e1ria \u00e9 <em>A<sub>requisito<\/sub> = Fluxo \u00f7 Fluxo<\/em>. O n\u00famero de elementos \u00e9 ent\u00e3o <em>N = ceil(A<sub>requisito<\/sub> \u00f7 A<sub>elem<\/sub>)<\/em>, em que <em>A<sub>elem<\/sub><\/em> \u00e9 a \u00e1rea da membrana por elemento. A ferramenta apresenta a contagem no fluxo selecionado dentro da sua janela.<\/p>\n\n  <h2>Exemplo de trabalho (ilustrativo)<\/h2>\n  <p><strong>Caso:<\/strong> Caudal = 1000 LPH (\u22481 m\u00b3\/h), temperatura = 25 \u00b0C, janela de fluxo = 12-20 Lmh.<\/p>\n  <ul>\n    <li>Em <strong>18 Lmh<\/strong>: A<sub>requisito<\/sub> = 1000 \u00f7 18 \u2248 <strong>55.6 m\u00b2<\/strong>.<\/li>\n    <li>4040 (7.9 m\u00b2): N \u2248 55.6 \u00f7 7.9 \u2248 <strong>7 elementos<\/strong>.<\/li>\n    <li>8040 (37 m\u00b2): N \u2248 55.6 \u00f7 37 \u2248 <strong>2 elementos<\/strong> (arredondar). <\/li>\n  <\/ul>\n  <p><em>Nota:<\/em> Esta \u00e9 apenas a contagem de elementos. A contagem de recipientes, o escalonamento (por exemplo, 2:1, 3:2), as quedas de press\u00e3o e as divis\u00f5es de recupera\u00e7\u00e3o devem ser verificadas nas ferramentas do fornecedor com a sua salinidade, SDI, perfil de temperatura e programa qu\u00edmico.<\/p>\n\n  <h2>Boas pr\u00e1ticas e advert\u00eancias<\/h2>\n  <ul>\n    <li><strong>Fluxo de mudan\u00e7a de temperatura e salinidade<\/strong> - a \u00e1gua quente e de baixa viscosidade permite um fluxo mais elevado; o TDS elevado ou a \u00e1gua fria necessitam de um fluxo mais baixo para o mesmo risco de incrusta\u00e7\u00e3o.<\/li>\n    <li><strong>Quest\u00f5es de pr\u00e9-tratamento<\/strong> - SDI \u2264 3, UF\/MMF est\u00e1vel a montante e controlo correto do anti-incrustante\/pH prolongam a vida \u00fatil da membrana e mant\u00eam os objectivos de fluxo realistas.<\/li>\n    <li><strong>Modelo de elemento \u2260 \u00e1rea gen\u00e9rica<\/strong> - verificar sempre com a ficha de dados exacta; alguns elementos de \u00e1rea elevada excedem os 37-41 m\u00b2 nominais.<\/li>\n    <li><strong>Hidr\u00e1ulica<\/strong> - O n\u00famero de elementos deve traduzir-se em n\u00fameros vi\u00e1veis de recipientes por fase, com uma contrapress\u00e3o de permeado e uma velocidade de concentrado aceit\u00e1veis.<\/li>\n  <\/ul>\n\n  <h2>Ferramentas e leituras relacionadas<\/h2>\n  <p>Continuar o dimensionamento e a economia com:\n    <a href=\"\/pt\/stark-water-tools\/stark-water-tools-ro-opex-calculator\/\">Calculadora RO OPEX<\/a>,\n    <a href=\"\/pt\/stark-water-tools\/stark-water-tools-lsi-calculator\/\">Calculadora LSI<\/a> e\n    <a href=\"\/pt\/stark-water-tools\/blending-calculator\/\">Calculadora de mistura de permeado<\/a>.\n    Os antecedentes da osmose inversa s\u00e3o resumidos aqui:\n    <a href=\"https:\/\/en.wikipedia.org\/wiki\/Reverse_osmosis\" target=\"_blank\" rel=\"noopener\">Osmose inversa (Wikip\u00e9dia)<\/a>.\n  <\/p>\n\n  <h2>Do or\u00e7amento \u00e0 conce\u00e7\u00e3o<\/h2>\n  <p>Utilize esta calculadora para determinar a contagem de elementos e os intervalos de fluxo operacional para os skids 4040\/8040. Em seguida, valide no software de projeto do fornecedor com sua recupera\u00e7\u00e3o, faixa de temperatura, TDS, SDI, programa qu\u00edmico e materiais. Para refer\u00eancias de pacotes configurados, consulte nosso\n    <a href=\"\/pt\/solucao\/1000lph-ro-solution\/\">Solu\u00e7\u00e3o de tratamento de \u00e1gua RO 1000 LPH<\/a>.\n  <\/p>\n<\/section>\n\n\n\n<svg width=\"880\" height=\"150\" viewbox=\"0 0 880 150\" role=\"img\" aria-label=\"Rela\u00e7\u00e3o de dimensionamento RO\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n  <style>.t{font:12px system-ui}.b{fill:#0f172a}.k{fill:#e2e8f0;stroke:#94a3b8;stroke-width:1}<\/style>\n  <rect class=\"k\" x=\"20\" y=\"40\" width=\"180\" height=\"70\" rx=\"8\"\/>\n  <text class=\"t b\" x=\"110\" y=\"75\" text-anchor=\"middle\">Fluxo<\/text>\n  <text class=\"t\" x=\"110\" y=\"95\" text-anchor=\"middle\">(LPH ou m\u00b3\/h)<\/text>\n\n  <rect class=\"k\" x=\"240\" y=\"40\" width=\"180\" height=\"70\" rx=\"8\"\/>\n  <text class=\"t b\" x=\"330\" y=\"75\" text-anchor=\"middle\">Fluxo<\/text>\n  <text class=\"t\" x=\"330\" y=\"95\" text-anchor=\"middle\">(Lmh)<\/text>\n\n  <rect class=\"k\" x=\"460\" y=\"40\" width=\"180\" height=\"70\" rx=\"8\"\/>\n  <text class=\"t b\" x=\"550\" y=\"75\" text-anchor=\"middle\">\u00c1rea necess\u00e1ria<\/text>\n  <text class=\"t\" x=\"550\" y=\"95\" text-anchor=\"middle\">(m\u00b2 = Caudal \/ Fluxo)<\/text>\n\n  <rect class=\"k\" x=\"680\" y=\"40\" width=\"180\" height=\"70\" rx=\"8\"\/>\n  <text class=\"t b\" x=\"770\" y=\"70\" text-anchor=\"middle\">Elementos<\/text>\n  <text class=\"t\" x=\"770\" y=\"90\" text-anchor=\"middle\">= ceil(\u00c1rea \/ Aelem)<\/text>\n\n  <path d=\"M200 75 L240 75 M420 75 L460 75 M640 75 L680 75\" stroke=\"#0f172a\" stroke-width=\"2\" marker-end=\"url(#a)\"\/>\n  <defs>\n    <marker id=\"a\" markerwidth=\"8\" markerheight=\"8\" refx=\"4\" refy=\"4\" orient=\"auto\">\n      <path d=\"M0,0 L8,4 L0,8 z\" fill=\"#0f172a\"\/>\n    <\/marker>\n  <\/defs>\n<\/svg>\n\n\n\n<section aria-label=\"FAQ\">\n  <h2>FAQ<\/h2>\n\n  <details><summary>Qual \u00e9 um fluxo sensato para 4040 vs 8040?<\/summary>\n    <p>Como ponto de partida, o 4040 funciona frequentemente a 10-25 Lmh e o 8040 a 8-18 Lmh. Escolha o limite inferior para TDS elevado, \u00e1gua fria ou maior risco de incrusta\u00e7\u00e3o, e confirme com as ferramentas do fornecedor.<\/p>\n  <\/details>\n\n  <details><summary>Esta calculadora define a contagem de vasos ou o estadiamento?<\/summary>\n    <p>N\u00e3o. Estima-se que <em>contagem de elementos<\/em> apenas. As contagens de recipientes, a divis\u00e3o de fases e o sistema hidr\u00e1ulico requerem software do fornecedor e dados espec\u00edficos do local.<\/p>\n  <\/details>\n\n  <details><summary>Posso alterar a \u00e1rea da membrana por elemento?<\/summary>\n    <p>Sim. Introduza a \u00e1rea exacta da sua folha de dados (por exemplo, 7,9 m\u00b2 para muitos modelos 4040; 37-41 m\u00b2 para 8040) e, em seguida, volte a executar o dimensionamento.<\/p>\n  <\/details>\n\n  <details><summary>Como \u00e9 que a temperatura afecta o dimensionamento?<\/summary>\n    <p>Uma temperatura mais elevada reduz a viscosidade e pode permitir um fluxo mais elevado; a \u00e1gua fria necessita normalmente de um fluxo mais baixo para manter o risco de incrusta\u00e7\u00e3o control\u00e1vel. Utilize a temperatura de funcionamento para as suas verifica\u00e7\u00f5es.<\/p>\n  <\/details>\n<\/section>\n\n\n\n<script type=\"application\/ld+json\">\n{\n  \"@context\":\"https:\/\/schema.org\",\n  \"@type\":\"SoftwareApplication\",\n  \"name\":\"RO Sizing Calculator (4040\/8040)\",\n  \"applicationCategory\":\"EngineeringApplication\",\n  \"operatingSystem\":\"Web\",\n  \"isAccessibleForFree\": true,\n  \"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"USD\"},\n  \"url\":\"https:\/\/stark-water.com\/stark-water-tools\/stark-water-tools-ro-sizing\/\",\n  \"description\":\"Estimate RO element count and operating flux for 4040\/8040 skids from flow, temperature and membrane area. Quick scoping before vendor design.\",\n  \"keywords\":[\"ro sizing calculator\",\"4040 ro\",\"8040 ro\",\"membrane flux\",\"element count\"],\n  \"publisher\":{\"@type\":\"Organization\",\"name\":\"Stark Water\",\"url\":\"https:\/\/stark-water.com\"},\n  \"potentialAction\":{\"@type\":\"UseAction\",\"target\":\"https:\/\/stark-water.com\/stark-water-tools\/stark-water-tools-ro-sizing\/\"}\n}\n<\/script>\n\n\n\n<script type=\"application\/ld+json\">\n{\n  \"@context\":\"https:\/\/schema.org\",\n  \"@type\":\"FAQPage\",\n  \"mainEntity\":[\n    {\"@type\":\"Question\",\"name\":\"What\u2019s a sensible flux for 4040 vs 8040?\",\n     \"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"As a starting point, 4040 often runs at 10\u201325 Lmh and 8040 at 8\u201318 Lmh. 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