{"id":1306,"date":"2013-11-06T15:35:13","date_gmt":"2013-11-06T14:35:13","guid":{"rendered":"http:\/\/mosaic-modeling.de\/?page_id=1306"},"modified":"2025-09-19T17:10:30","modified_gmt":"2025-09-19T16:10:30","slug":"use-of-functions-iii-indices-and-parameter-lists-2","status":"publish","type":"page","link":"https:\/\/mosaic-modeling.de\/?page_id=1306","title":{"rendered":"Use of Functions III &#8211; Parameter Lists and Indices"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">On this page<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mosaic-modeling.de\/?page_id=1306\/#Model-description\" >Model description<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mosaic-modeling.de\/?page_id=1306\/#Workflow\" >Workflow<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mosaic-modeling.de\/?page_id=1306\/#Notation-of-equation-system\" >Notation of equation system<\/a><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mosaic-modeling.de\/?page_id=1306\/#Base-names\" >Base names<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mosaic-modeling.de\/?page_id=1306\/#Superscripts\" >Superscripts<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mosaic-modeling.de\/?page_id=1306\/#Indices\" >Indices<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mosaic-modeling.de\/?page_id=1306\/#Parameter-list\" >Parameter list<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mosaic-modeling.de\/?page_id=1306\/#Equations\" >Equations<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mosaic-modeling.de\/?page_id=1306\/#Definition-of-function\" >Definition of function<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mosaic-modeling.de\/?page_id=1306\/#Equation-system\" >Equation system<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mosaic-modeling.de\/?page_id=1306\/#Evaluation-Simulation\" >Evaluation \/ Simulation<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mosaic-modeling.de\/?page_id=1306\/#Initialization-and-results\" >Initialization and results<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"Model-description\"><\/span>Model description<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The model consists of very basic flash equations, i.e., the component mole balances, phase equilibria (VLE), and the summation of mole fractions in liquid and vapor phase. The temperature is constant:<\/p>\n<p><p class=\"ql-left-displayed-equation\" style=\"line-height: 216px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-b1044fb9d8a2387827c714d3c40b3302_l3.png\" height=\"216\" width=\"171\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#38;&#70;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#122;&#95;&#99;&#32;&#61;&#32;&#76;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#120;&#95;&#99;&#32;&#43;&#32;&#86;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#121;&#95;&#99;&#32;&#92;&#92;&#91;&#50;&#101;&#120;&#93;&#38;&#120;&#95;&#99;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#80;&#94;&#123;&#76;&#86;&#125;&#95;&#123;&#99;&#125;&#32;&#61;&#32;&#121;&#95;&#99;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#80;&#32;&#92;&#92;&#91;&#50;&#101;&#120;&#93;&#38;&#49;&#32;&#61;&#32;&#92;&#115;&#117;&#109;&#95;&#123;&#99;&#61;&#49;&#125;&#94;&#123;&#78;&#67;&#125;&#32;&#120;&#95;&#99;&#32;&#92;&#92;&#91;&#50;&#101;&#120;&#93;&#38;&#49;&#32;&#61;&#32;&#92;&#115;&#117;&#109;&#95;&#123;&#99;&#61;&#49;&#125;&#94;&#123;&#78;&#67;&#125;&#32;&#121;&#95;&#99;&#32;&#92;&#92;&#91;&#50;&#101;&#120;&#93;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n<p>Therein, the vapor pressure <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-877f6048d6e056d85cfe01b5add6d142_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#94;&#123;&#76;&#86;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: 0px;\"\/> is to be calculated via a DIPPR equation, which will again be treated as a function:<\/p>\n<p style=\"text-align: justify;\"><p class=\"ql-left-displayed-equation\" style=\"line-height: 37px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-8c3bce003535b776066971acfd559a66_l3.png\" height=\"37\" width=\"347\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#42;&#125;&#80;&#94;&#123;&#76;&#86;&#125;&#32;&#40;&#32;&#84;&#32;&#41;&#32;&#61;&#32;&#92;&#101;&#120;&#112;&#40;&#65;&#32;&#43;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#66;&#125;&#123;&#84;&#125;&#32;&#43;&#32;&#67;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#108;&#110;&#40;&#84;&#41;&#32;&#43;&#32;&#68;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#84;&#94;&#69;&#41;&#46;&#92;&#101;&#110;&#100;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n<p>As the parameters in this functions specify the mixture used in this process, it makes sense to specify them in a parameter list. Thus, we could set up another paramater specification for another mixture and could solve this system with the same variable specification.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Workflow\"><\/span>Workflow<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4><span class=\"ez-toc-section\" id=\"Notation-of-equation-system\"><\/span>Notation of equation system<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>For the notation of the equation, we need to set up the following symbols. Note that we do not define the parameters of the DIPPR equation in a separate notation for simplicity (although it would be possible). However, we will use a parameter list:<\/p>\n<h5><span class=\"ez-toc-section\" id=\"Base-names\"><\/span>Base names<span class=\"ez-toc-section-end\"><\/span><\/h5>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"\/>, DIPPR parameter A\u00a0<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c74288aabc0e2ca280d25d92bf1a1ec2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, DIPPR parameter B in K<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-ed12970f60569db1dfd9f13289854a0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, DIPPR parameter C\u00a0<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c10ec9debc8ec5dce4c3c5887557202d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#68;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/>, DIPPR parameter D in 1\/T^E<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-638a7387bd72763290cc777a9b509c38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#69;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, DIPPR parameter E<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-88df03c55e081c7cd9da4e7d74ba7265_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#70;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, feed mole flow in kmol\/h<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-48d71fca322532f0abc2c4ad2cf98154_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#76;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"\/>, liquid mole flow in kmol\/h<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-fda1e51b12ba3624074fcbebad72b1fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, pressure in Pa<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-7e093fd43ad2c244140c11afe4d4bdff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/>, temperature in K<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-54e215a7a583b4f357a5a627420bcf2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, vapor mole flow in kmol\/h\u00a0<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-7e5fbfa0bbbd9f3051cd156a0f1b5e31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>, liquid mole fraction in mol\/mol<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-38461fc041e953482219abf5d4cce1cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"\/>, vapor mole fraction in mol\/mol<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-ec5583fa081a1e03212c151e3c222412_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#122;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/>, feed mole fraction in mol\/mol<\/li>\n<\/ul>\n<h5><span class=\"ez-toc-section\" id=\"Superscripts\"><\/span>Superscripts<span class=\"ez-toc-section-end\"><\/span><\/h5>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-e8ed626db8eaa648411bd21191db137a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#76;&#86;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"26\" style=\"vertical-align: 0px;\"\/><strong>, <\/strong>phase equilibrium<\/li>\n<\/ul>\n<h5><span class=\"ez-toc-section\" id=\"Indices\"><\/span>Indices<span class=\"ez-toc-section-end\"><\/span><\/h5>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-276a76eafbebc4494deafceec7cc4ddd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"\/>, component index 1&#8230;NC<\/li>\n<\/ul>\n<p>The resulting notation has ID 182668.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Parameter-list\"><\/span>Parameter list<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>After the notation has been set up, we can move to the Parameter List tab. Here, we take the following steps:<\/p>\n<ol>\n<li>Load the notation that was created in the previous step<\/li>\n<li>Add all parameter by clicking on the &#8220;+&#8221; button, writing the parameter into the Tex Expression, rendering, and confirming. Add the parameters in their general form, i.e., <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c74288aabc0e2ca280d25d92bf1a1ec2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-ed12970f60569db1dfd9f13289854a0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c10ec9debc8ec5dce4c3c5887557202d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#68;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"\/>, and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-638a7387bd72763290cc777a9b509c38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#69;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>. This is how they will be used in the function. Do not add any component index<\/li>\n<li>Save the parameter list<\/li>\n<\/ol>\n<p>The parameter list is saved with ID 182669.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Equations\"><\/span>Equations<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Now formulate the equations of the model and save them. The parameter list does not need to be loaded for any of the equations.<\/p>\n<p>The equations of this example have the IDs 182670, 182671, 182672, and 182673.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Definition-of-function\"><\/span>Definition of function<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>To create the DIPPR function for the vapor pressure, we take the following steps:<\/p>\n<ol>\n<li>Load the notation of this example<\/li>\n<li>Load the parameter list of this example<\/li>\n<li>Add an informative description of the function<\/li>\n<li>Make sure that Free interface and Specify formula are selected in the Interface &amp; Body Settings<\/li>\n<li>Move to the tab Interface Specifications; add <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-877f6048d6e056d85cfe01b5add6d142_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#94;&#123;&#76;&#86;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: 0px;\"\/> as output and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-7e093fd43ad2c244140c11afe4d4bdff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> as input. Theoretically, it would make sense to use engineering units for this example, but we will not do that in this example. As a result, we need to make sure manually that our equations are unit-consistent<\/li>\n<li>Move to the tab Body Specification and add the formula from the section on the model formulation from above: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-e7976bb3c38dddfa8a9927ba1e882300_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#101;&#120;&#112;&#40;&#65;&#32;&#43;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#66;&#125;&#123;&#84;&#125;&#32;&#43;&#32;&#67;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#108;&#110;&#40;&#84;&#41;&#32;&#43;&#32;&#68;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#84;&#94;&#69;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"254\" style=\"vertical-align: -6px;\"\/><\/li>\n<li>Save the function<\/li>\n<\/ol>\n<p>The function has ID 182674.<\/p>\n<h4 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Equation-system\"><\/span>Equation system<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Go to the tab Equation System and add your equations in the same way as in the previous examples. Then go to the Functions tab within the equation system and take the following steps:<\/p>\n<ol>\n<li>Add the function by clicking on the &#8220;Add&#8221; button at the bottom<\/li>\n<li>Add an application by clicking on &#8220;Add Application&#8221;<\/li>\n<li>Add <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-bee2382180886ef86dfab7c7ade5b5e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#95;&#99;&#94;&#123;&#76;&#86;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -4px;\"\/> as Applied Naming for the output and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-7e093fd43ad2c244140c11afe4d4bdff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> as Applied Naming for the input<\/li>\n<li>Add the parameters\u00a0<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-1b89b4286685ef8d3b319be9dcfe51ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#95;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"19\" style=\"vertical-align: -3px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-101cc1ba32077525c83002760b6d0d95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;&#95;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"19\" style=\"vertical-align: -3px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-71068732702d5acc9ba19ebf009f03d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#95;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"19\" style=\"vertical-align: -3px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-62beb8a27120aed5c7f16385f51d9b05_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#68;&#95;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"21\" style=\"vertical-align: -3px;\"\/>, and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c93297fef9d6f0bb54767d8e81ebf3cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#69;&#95;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"19\" style=\"vertical-align: -3px;\"\/> (now with component index!) as Applied Naming for the parameters<\/li>\n<li>Confirm that and confirm again to close the popup windows. You should now see one application of the function within the equation system<\/li>\n<\/ol>\n<p>The resulting equation system has ID 182675.<\/p>\n<h4 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Evaluation-Simulation\"><\/span>Evaluation \/ Simulation<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Next, we can move to the &#8220;Simulation&#8221; section and load the equation system we just created. Then, we take the following steps:<\/p>\n<ol>\n<li>Add a description for your simulation<\/li>\n<li>In the tab on the Generic System, go to Functions and check whether MOSAICmodeling confirms two usages of the function in one application<\/li>\n<li>Go to Indexing and enter 2 as Max Value for NC; then click on Confirm Index Data<\/li>\n<li>Go to the Specifications tab and assign the following variables as design values:\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-88df03c55e081c7cd9da4e7d74ba7265_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#70;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-fda1e51b12ba3624074fcbebad72b1fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-7e093fd43ad2c244140c11afe4d4bdff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-269345fde62dac62ae30d668c3b5b88c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#122;&#95;&#123;&#99;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"31\" style=\"vertical-align: -3px;\"\/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-6ec9d5f063c63464c3ab3ab5aedc9d52_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#122;&#95;&#123;&#99;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"32\" style=\"vertical-align: -3px;\"\/><\/li>\n<\/ul>\n<\/li>\n<li>Assign the remaining six variables &#8211; i.e.,\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-48d71fca322532f0abc2c4ad2cf98154_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#76;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-54e215a7a583b4f357a5a627420bcf2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-e2f8cef990a8f8a274a1230a4c0aaddf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#123;&#99;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"33\" style=\"vertical-align: -3px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-4bed32089b40191b423a589cf19b4973_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#123;&#99;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"34\" style=\"vertical-align: -3px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-a821d4400bd1e06055a0b2001cecac0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#123;&#99;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"32\" style=\"vertical-align: -4px;\"\/>, and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-774a03fc337a6db9c31cb10913568b60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#123;&#99;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"33\" style=\"vertical-align: -4px;\"\/> &#8211;\u00a0as iteration values<\/li>\n<li>Now you may wonder where your parameters for the vapor pressure function are. Therefore, go to the Parameters tab where you should find these ten parameters<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Initialization-and-results\"><\/span>Initialization and results<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>To initialize and specify the model, take the following steps:<\/p>\n<ol>\n<li><span style=\"font-size: revert; color: initial;\">Initialize this example with the design values and initial guesses given in Table 1<\/span><\/li>\n<li><span style=\"font-size: revert; color: initial;\">Save the variable specification\u00a0<\/span><\/li>\n<li>Enter the parameter values given in Table 1<\/li>\n<li>Save the parameter specification<\/li>\n<li>Save the simulation<\/li>\n<li>Go to the Evaluation tab and generate the code for your preferred environment \/ software package<\/li>\n<li>Simulate the flash<\/li>\n<\/ol>\n<p>This simulation is available with ID 182676 with variable specification 182677 and parameter specification 182678. <span style=\"font-size: revert; color: initial;\"> The solution for all iteration variables is also given in Table 1.<\/span><\/p>\n\n\n<figure class=\"wp-block-table is-style-stripes has-small-font-size\"><table><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Name<\/th><th class=\"has-text-align-left\" data-align=\"left\">Description<\/th><th class=\"has-text-align-left\" data-align=\"left\">Value \/ Initial guess<\/th><th class=\"has-text-align-left\" data-align=\"left\">Solution<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-88df03c55e081c7cd9da4e7d74ba7265_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#70;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Feed mole flow in kmol\/h<\/td><td class=\"has-text-align-left\" data-align=\"left\">1.0<\/td><td class=\"has-text-align-left\" data-align=\"left\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-fda1e51b12ba3624074fcbebad72b1fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Pressure in Pa<\/td><td class=\"has-text-align-left\" data-align=\"left\">101325<\/td><td class=\"has-text-align-left\" data-align=\"left\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-7e093fd43ad2c244140c11afe4d4bdff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Temperature in K<\/td><td class=\"has-text-align-left\" data-align=\"left\">354.6<\/td><td class=\"has-text-align-left\" data-align=\"left\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-269345fde62dac62ae30d668c3b5b88c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#122;&#95;&#123;&#99;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"31\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Feed mole fraction of component 1 in mol\/mol<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.5<\/td><td class=\"has-text-align-left\" data-align=\"left\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-6ec9d5f063c63464c3ab3ab5aedc9d52_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#122;&#95;&#123;&#99;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"32\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Feed mole fraction of component 2 in mol\/mol<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.5<\/td><td class=\"has-text-align-left\" data-align=\"left\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-4899476d9cda1792c62adfe9b0d19857_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#95;&#123;&#99;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"36\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter in DIPPR equation<\/td><td class=\"has-text-align-left\" data-align=\"left\">82.718<\/td><td class=\"has-text-align-left\" data-align=\"left\">&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-845a1e146a7ecf6645efd3aab3ca55ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;&#95;&#123;&#99;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"36\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter in DIPPR equation<\/td><td class=\"has-text-align-left\" data-align=\"left\">-6904.5<\/td><td class=\"has-text-align-left\" data-align=\"left\">&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-a4d2287bf4b65b3a36020b258566cbaa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#95;&#123;&#99;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"36\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter in DIPPR equation<\/td><td class=\"has-text-align-left\" data-align=\"left\">-8.8622<\/td><td class=\"has-text-align-left\" data-align=\"left\">&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-9d793e3d71cd2230dc25213e1d9c122a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#68;&#95;&#123;&#99;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"38\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter in DIPPR equation<\/td><td class=\"has-text-align-left\" data-align=\"left\">7.4664E-6<\/td><td class=\"has-text-align-left\" data-align=\"left\">&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-c4f7a2bf2ef00b4ccd56a7a2cef40787_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#69;&#95;&#123;&#99;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"36\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter in DIPPR equation<\/td><td class=\"has-text-align-left\" data-align=\"left\">2.0<\/td><td class=\"has-text-align-left\" data-align=\"left\">&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-7a700e8669b8c55166a5d4bd9a86c641_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#95;&#123;&#99;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"37\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter in DIPPR equation<\/td><td class=\"has-text-align-left\" data-align=\"left\">73.649<\/td><td class=\"has-text-align-left\" data-align=\"left\">&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-68fe55972ebb87647a9fc36b840409e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;&#95;&#123;&#99;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"37\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter in DIPPR equation<\/td><td class=\"has-text-align-left\" data-align=\"left\">-7258.2<\/td><td class=\"has-text-align-left\" data-align=\"left\">&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-dca1e1a3abcd21304e0d59330244a9db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#95;&#123;&#99;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"37\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter in DIPPR equation<\/td><td class=\"has-text-align-left\" data-align=\"left\">-7.3037<\/td><td class=\"has-text-align-left\" data-align=\"left\">&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-22555f7f567b4e9dcfeabe35a6a81fc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#68;&#95;&#123;&#99;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"39\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter in DIPPR equation<\/td><td class=\"has-text-align-left\" data-align=\"left\">4.1653E-6<\/td><td class=\"has-text-align-left\" data-align=\"left\">&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-5d308fac42eb3d75945b188321fe31bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#69;&#95;&#123;&#99;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"37\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Parameter in DIPPR equation<\/td><td class=\"has-text-align-left\" data-align=\"left\">2.0<\/td><td class=\"has-text-align-left\" data-align=\"left\">&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-79ff4457f47dca53f544a1e76cb9863f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#95;&#123;&#99;&#61;&#49;&#125;&#94;&#123;&#76;&#86;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"34\" style=\"vertical-align: -5px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Calculated vapor pressure of component 1 in Pa<\/td><td class=\"has-text-align-left\" data-align=\"left\"><\/td><td class=\"has-text-align-left\" data-align=\"left\">190176.44<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-79ff4457f47dca53f544a1e76cb9863f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#95;&#123;&#99;&#61;&#49;&#125;&#94;&#123;&#76;&#86;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"34\" style=\"vertical-align: -5px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Calculated vapor pressure of component 2 in Pa<\/td><td class=\"has-text-align-left\" data-align=\"left\"><\/td><td class=\"has-text-align-left\" data-align=\"left\">50216.55<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-48d71fca322532f0abc2c4ad2cf98154_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#76;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Liquid mole flow in kmol\/h<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.5<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.57892<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-54e215a7a583b4f357a5a627420bcf2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Vapor mole flow in kmol\/h<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.5<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.42108<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-e2f8cef990a8f8a274a1230a4c0aaddf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#123;&#99;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"33\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Liquid mole fraction of component 1 in mol\/mol<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.5<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.36516<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-4bed32089b40191b423a589cf19b4973_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#123;&#99;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"34\" style=\"vertical-align: -3px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Liquid mole fraction of component 2 in mol\/mol<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.5<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.63484<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-a821d4400bd1e06055a0b2001cecac0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#123;&#99;&#61;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"32\" style=\"vertical-align: -4px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Vapor mole fraction of component 1 in mol\/mol<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.5<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.68538<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mosaic-modeling.de\/wp-content\/ql-cache\/quicklatex.com-774a03fc337a6db9c31cb10913568b60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#123;&#99;&#61;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"33\" style=\"vertical-align: -4px;\"\/><\/td><td class=\"has-text-align-left\" data-align=\"left\">Vapor mole fraction of component 2 in mol\/mol<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.5<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.31462<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">Table 1: Overview of parameter values, initial guesses, and the solution.<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Model description The model consists of very basic flash equations, i.e., the component mole balances, phase equilibria (VLE), and the summation of mole fractions in liquid and vapor phase. The temperature is constant: &nbsp; &nbsp; Therein, the vapor pressure is to be calculated via a DIPPR equation, which will again be treated as a function: [&hellip;]<\/p>\n","protected":false},"author":188,"featured_media":0,"parent":307,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1306","page","type-page","status-publish","czr-hentry"],"_links":{"self":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/1306","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/users\/188"}],"replies":[{"embeddable":true,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1306"}],"version-history":[{"count":83,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/1306\/revisions"}],"predecessor-version":[{"id":6220,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/1306\/revisions\/6220"}],"up":[{"embeddable":true,"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=\/wp\/v2\/pages\/307"}],"wp:attachment":[{"href":"https:\/\/mosaic-modeling.de\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1306"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}