{"id":16082,"date":"2026-08-19T08:20:48","date_gmt":"2026-08-19T08:20:48","guid":{"rendered":"https:\/\/lequia-udg.com\/2026\/08\/19\/combining-equilibrium-and-dynamical-models-to-describe-two-component-adsorption-in-a-fixed-bed\/"},"modified":"2026-08-19T08:25:50","modified_gmt":"2026-08-19T08:25:50","slug":"combining-equilibrium-and-dynamical-models-to-describe-two-component-adsorption-in-a-fixed-bed","status":"publish","type":"post","link":"https:\/\/lequia-udg.com\/ca\/2026\/08\/19\/combining-equilibrium-and-dynamical-models-to-describe-two-component-adsorption-in-a-fixed-bed\/","title":{"rendered":"Combining equilibrium and dynamical models to describe two-component adsorption in a fixed bed"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"16082\" class=\"elementor elementor-16082 elementor-16076\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fe01f08 ts-col-stretched-none ts-bg-color-over-image elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fe01f08\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7b872234 ts-bg-color-over-image\" data-id=\"7b872234\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5f109b89 ts-align-left elementor-widget elementor-widget-ts_heading\" data-id=\"5f109b89\" data-element_type=\"widget\" data-widget_type=\"ts_heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t<div class=\"ts-heading-subheading ts-reverse-heading-yes animation-style4\"><h4 class=\"ts-custom-heading ts-custom-subtitle\">\r\n\t\t\t\r\n\t\t\t\tAuthors:  A. Valverde, T.G. Myers, A. Cabrera-Codony, H.M. Thompson, G. Moncus\u00ed-Prieto, M. Calvo-Schwarzwalder                                                                                                       \r\n\t\t\t\r\n\t\t\t<\/h4>\r\n\t\t<h2 class=\"ts-custom-heading ts-custom-heading-title\">\r\n\t\t\t\r\n\t\t\t\tCombining equilibrium and dynamical models to describe two-component adsorption in a fixed bed\r\n\t\t\t\r\n\t\t\t<\/h2>\r\n\t\t<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-17629e7c ts-col-stretched-none ts-bg-color-over-image elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"17629e7c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4c472419 ts-bg-color-over-image\" data-id=\"4c472419\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5c5fb92b elementor-widget-tablet__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"5c5fb92b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div id=\"d1e2176\" class=\"u-margin-s-bottom\">We introduce a novel approach for predicting fixed-bed adsorption involving two competing contaminants. The method leads to simple analytical expressions for the concentrations and amount adsorbed throughout the column during an experiment. It primarily relies on equilibrium (isotherm) data, with just a single parameter fitted to breakthrough data. The advantage of employing the isotherm is that the coefficients are obtained using a range and combination of concentrations ensuring a wide range of validity.\u00a0The isotherm analysis provides key information such as shifts in breakthrough time due to competition, the magnitude of the roll-up effect and relations between adsorption and displacement rates. From the breakthrough data we are able to determine the coefficient describing the rate at which the dominant species replaces the other species and from this all other coefficients may be calculated. Although the dynamic model neglects desorption it is accounted for through the isotherm analysis.\u00a0The method is validated against novel and literature-based competitive column experiments, where the isotherm-based predictions reproduce full curves with\u00a0<span id=\"MathJax-Element-1-Frame\" class=\"MathJax_SVG\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mrow is=&quot;true&quot;&gt;&lt;msup is=&quot;true&quot;&gt;&lt;mrow is=&quot;true&quot;&gt;&lt;mtext is=&quot;true&quot;&gt;R&lt;\/mtext&gt;&lt;\/mrow&gt;&lt;mrow is=&quot;true&quot;&gt;&lt;mn is=&quot;true&quot;&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;mo linebreak=&quot;goodbreak&quot; linebreakstyle=&quot;after&quot; is=&quot;true&quot;&gt;&amp;gt;&lt;\/mo&gt;&lt;mn is=&quot;true&quot;&gt;0&lt;\/mn&gt;&lt;mo is=&quot;true&quot;&gt;.&lt;\/mo&gt;&lt;mn is=&quot;true&quot;&gt;95&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/math&gt;\"><\/span>\u00a0and a low relative error. Compared to a previous travelling wave approximation, on which this work is based, the present approach yields similar accuracy with the added advantage of providing physically interpretable parameters and allowing predictions of half-times and roll-up height over a wider range of validity. This may then be used to reduce experimental effort while maintaining strong predictive performance.<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3e6e55ea ts-col-stretched-none ts-bg-color-over-image elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3e6e55ea\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-70bfa5d1 ts-bg-color-over-image\" data-id=\"70bfa5d1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-66016e53 elementor-widget elementor-widget-accordion\" data-id=\"66016e53\" data-element_type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1711\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1711\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Informaci\u00f3 addicional<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1711\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1711\"><table style=\"border: hidden;\">\n<tbody>\n<tr style=\"border-bottom: 1px solid #efefef;\">\n<td align=\"right\" width=\"200\"><strong>Year:<\/strong><\/td>\n<td>2026<\/td>\n<\/tr>\n<tr style=\"border-bottom: 1px solid #efefef;\">\n<td align=\"right\" width=\"200\"><strong>Authors:<\/strong><\/td>\n<td>A. Valverde, T.G. Myers, A. Cabrera-Codony, H.M. Thompson, G. Moncus\u00ed-Prieto, M. Calvo-Schwarzwalder<\/td>\n<\/tr>\n<tr style=\"border-bottom: 1px solid #efefef;\">\n<td align=\"right\" width=\"200\"><strong>Reference:<\/strong><\/td>\n<td>Journal of Hazardous Materials, Volume 514, 2026, 142572, ISSN 0304-3894<\/td>\n<\/tr>\n<tr style=\"border-bottom: 1px solid #efefef;\">\n<td align=\"right\" width=\"200\"><strong>Link:<\/strong><\/td>\n<td><a href=\"https:\/\/doi.org\/10.1016\/j.jhazmat.2026.142572\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.1016\/j.jhazmat.2026.142572<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4be20f31 elementor-widget elementor-widget-spacer\" data-id=\"4be20f31\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Authors: A. Valverde, T.G. Myers, A. Cabrera-Codony, H.M. Thompson, G. Moncus\u00ed-Prieto, M. Calvo-Schwarzwalder Combining equilibrium and dynamical models to describe two-component adsorption in a fixed bed We introduce a novel approach for predicting fixed-bed adsorption involving two competing contaminants. The method leads to simple analytical expressions for the concentrations and amount adsorbed throughout the column &hellip; <a href=\"https:\/\/lequia-udg.com\/ca\/2026\/08\/19\/combining-equilibrium-and-dynamical-models-to-describe-two-component-adsorption-in-a-fixed-bed\/\" class=\"more-link\" title=\"Continue reading <span class=\"screen-reader-text\">Combining equilibrium and dynamical models to describe two-component adsorption in a fixed bed<\/span>&#8220;>Continue reading <span class=\"screen-reader-text\">Combining equilibrium and dynamical models to describe two-component adsorption in a fixed bed<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"elementor_header_footer","format":"standard","meta":{"footnotes":""},"categories":[64],"tags":[],"class_list":["post-16082","post","type-post","status-publish","format-standard","hentry","category-articles-ca"],"_links":{"self":[{"href":"https:\/\/lequia-udg.com\/ca\/wp-json\/wp\/v2\/posts\/16082","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lequia-udg.com\/ca\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lequia-udg.com\/ca\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lequia-udg.com\/ca\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lequia-udg.com\/ca\/wp-json\/wp\/v2\/comments?post=16082"}],"version-history":[{"count":1,"href":"https:\/\/lequia-udg.com\/ca\/wp-json\/wp\/v2\/posts\/16082\/revisions"}],"predecessor-version":[{"id":16083,"href":"https:\/\/lequia-udg.com\/ca\/wp-json\/wp\/v2\/posts\/16082\/revisions\/16083"}],"wp:attachment":[{"href":"https:\/\/lequia-udg.com\/ca\/wp-json\/wp\/v2\/media?parent=16082"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lequia-udg.com\/ca\/wp-json\/wp\/v2\/categories?post=16082"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lequia-udg.com\/ca\/wp-json\/wp\/v2\/tags?post=16082"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}