{"id":3072,"date":"2021-07-22T12:04:38","date_gmt":"2021-07-22T10:04:38","guid":{"rendered":"https:\/\/www.protostep-forward.com\/?page_id=3072"},"modified":"2021-09-03T11:58:38","modified_gmt":"2021-09-03T09:58:38","slug":"expertise-multiphysique-en","status":"publish","type":"page","link":"https:\/\/www.protostep-forward.com\/index.php\/en\/expertise-multiphysique-en\/","title":{"rendered":"Expertise multiphysique &#8211; EN"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"3072\" class=\"elementor elementor-3072\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-762367f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"762367f\" 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-ec0c21f\" data-id=\"ec0c21f\" 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-762739c elementor-widget elementor-widget-text-editor\" data-id=\"762739c\" 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<p style=\"text-align: justify;\"><span style=\"font-family: Advent;\"><span style=\"font-size: 18pt;\">Proto<span style=\"font-family: Agency FB;\">STEP <\/span><\/span><\/span>offers a wide range of expertise in Physics applied to various concerns. We have ten years of experience in Academic research and Industrial R&amp;D. Each field is considered independently or in a multi-physics interaction according to the need.<\/p>\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-a2aa4a0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a2aa4a0\" 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-002f2a6\" data-id=\"002f2a6\" 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-562e932 elementor-widget elementor-widget-image\" data-id=\"562e932\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.protostep-forward.com\/wp-content\/uploads\/elementor\/thumbs\/nuage_1280_EN_31082021-pcff0m59ualm8vg9p75i29blm4ixymapzy6on3oetc.png\" title=\"nuage_1280_EN_31082021\" alt=\"nuage_1280_EN_31082021\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6b78c48 elementor-widget elementor-widget-spacer\" data-id=\"6b78c48\" 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<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\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-d116b1b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d116b1b\" 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-2905e82\" data-id=\"2905e82\" 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-b9314e7 elementor-widget elementor-widget-accordion\" data-id=\"b9314e7\" 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<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-1941\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1941\" 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-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-angle-down\"><\/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\">Expertise in electromagnetism<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1941\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1941\"><p style=\"text-align: justify;\">Electromagnetism enables the study of the Coulomb interactions between charged particles and their coupling with the electric and magnetic fields created. The basic equations are driven by the so-called Maxwell&rsquo;s equations.<\/p>\n<p style=\"text-align: justify;\">Within an electrical conductor, they give the electric current distribution with the corresponding electric potentials. In vacuum, they describe the propagation of charged particule beams including the related electric fields.<\/p>\n<p style=\"text-align: justify;\">In the particular case of charged particules within a low pressure gas, Plasma physics expertise is necessary to consider for example space charge effect, Debye shielding or reactional mechanisms such as ionization or dissociation.<\/p>\n<ul>\n<li style=\"color: #000080;\"><span style=\"color: #000080;\">Case study: <em>Electrical contact, scanning electron microscope (SEM), mass spectrometer, Hall effect sensor, capacitive sensing<\/em><\/span><\/li>\n<\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1942\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-1942\" 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-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-angle-down\"><\/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\"> Expertise in optics<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1942\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-1942\"><p style=\"text-align: justify;\">Optics originates in electromagnetics and focuses on the propagation of the electromagnetic waves in vacuum or materials including their interaction such as interference, absorption, reflection, resonance and diffraction. Maxwell&rsquo;s equations allow computation of the so-called wave equation.&nbsp; <\/p>\n<ul>\n<li style=\"color: #000080;\"><span style=\"color: #000080;\">Case study: <em>Diffraction spectrometer, resonant cavity, wave guide, optics bench, electromagnetic shielding, antenna radiation<br><\/em><\/span><\/li>\n<\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1943\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-1943\" 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-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-angle-down\"><\/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\">Expertise in heat transfers<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1943\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-1943\"><p style=\"text-align: justify;\">Heat transfers can be linked to electromagnetics by considering phenomena such as inductive heating, electromagnetic radiation, or ohmic losses (Joule effect). Thermalisation is computed from the so-called Heat equation that describes balance between gain and loss terms, including convection, conduction and radiation phenomena.<\/p><ul><li style=\"color: #000080;\"><span style=\"color: #000080;\">Case study: <i>Heating of an electrical contact, baking of a vacuum chamber, induction furnace, cooling system, heat sink, heat shielding<\/i>\u00a0 <br \/><\/span><\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1944\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-1944\" 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-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-angle-down\"><\/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\">Expertise in fluid mechanics<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1944\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-1944\"><p style=\"text-align: justify;\">Fluid mechanics allows the study of several flow regimes (laminar, transient and turbulent) in gases or liquids. It orignates in the so-called Navier-Stokes equation.<\/p>\n<ul>\n<li style=\"color: #000080;\"><span style=\"color: #000080;\">Case study: <em>Water cooling circuit, vacuum chamber, pumping circuit<\/em><\/span><\/li>\n<\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1945\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-1945\" 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-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-angle-down\"><\/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\"> Expertise in solid mechanics<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1945\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-1945\"><p style=\"text-align: justify;\">Solid mechanics allows the study of the dynamics of one or more rigid objects by considering the Newton laws of motion.<\/p>\n<p style=\"text-align: justify;\">The particular case of a non-rigid object takes into account the distortion tensor with the constraints generated by the external forces. <br><\/p>\n<ul>\n<li style=\"color: #000080;\"><span style=\"color: #000080;\">Case study: <em>Mechanical contact, vacuum chamber, pressurized bottle, loading of a system<br><\/em><\/span><\/li>\n<\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\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>ProtoSTEP offers a wide range of expertise in Physics applied to various concerns. We have ten years of experience in Academic research and Industrial R&amp;D. Each field is considered independently or in a multi-physics interaction according to the need. Expertise in electromagnetism Electromagnetism enables the study of the Coulomb interactions between charged particles and their [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"3","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"<p id=\"p10\"><font face=\"Advent\" color=\"#000080\" size=\"10em\">Multiphysics expertise<\/font><\/p>","ocean_post_subheading":"<font face=\"Segoe UI\" color=\"#002142\" size=\"4em\">Making physics stronger within your projects<\/font> <p style=\"text-align: right\"><font face=\"Arial\" color=\"#4f4f4f\" size=\"1em\"><em>Cr\u00e9dits Images : COMSOL Multiphysics<sup>\u00ae<\/sup><\/em><\/font><\/p>","ocean_post_title_style":"background-image","ocean_post_title_background_color":"","ocean_post_title_background":3060,"ocean_post_title_bg_image_position":"center center","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"repeat-x","ocean_post_title_bg_image_size":"cover","ocean_post_title_height":200,"ocean_post_title_bg_overlay":0.7,"ocean_post_title_bg_overlay_color":"#efefff","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-3072","page","type-page","status-publish","hentry","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>ProtoSTEP - Expertise multiphysique<\/title>\n<meta name=\"description\" content=\"ProtoSTEP propose une gamme d\u2019\u00e9tudes et d\u2019expertises vari\u00e9e. 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