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"https://www.academia.edu/login?post_login_redirect_url=https%3A%2F%2Fwww.academia.edu%2F98612826%2FBubbles_growth_and_their_stability_in_reactive_flotation_process%3Fauto%3Ddownload"; window.loswp.translateUrl = "https://www.academia.edu/login?post_login_redirect_url=https%3A%2F%2Fwww.academia.edu%2F98612826%2FBubbles_growth_and_their_stability_in_reactive_flotation_process%3Fshow_translation%3Dtrue"; window.loswp.previewableAttachments = [{"id":99915442,"identifier":"Attachment_99915442","shouldShowBulkDownload":false}]; window.loswp.shouldDetectTimezone = true; window.loswp.shouldShowBulkDownload = true; window.loswp.showSignupCaptcha = false window.loswp.willEdgeCache = false; window.loswp.work = {"work":{"id":98612826,"created_at":"2023-03-16T00:37:54.797-07:00","from_world_paper_id":229719915,"updated_at":"2024-11-25T12:58:06.344-08:00","_data":{"publisher":"Elsevier BV","grobid_abstract":"Reactive flotation is a process originally used to separate dolomite from phosphate. It depends mainly on the formation of CO 2 bubbles as a product of acid reaction with dolomite surface in presence of a polyvinyl alcohol (PVA) polymeric membrane. Elasticity of PVA membrane is one of the critical factors that affect the bubble stability at the interface. The dynamic surface tension (DST) at different CO 2 rates was used as a measure for the membrane elasticity. The DST, at different CO 2 rates, was used to simulate the bubbles formation at the interface due to the surface reaction of dolomite with acidic media. The results indicated that the high evolution of CO 2 , due to vigorous reaction, negatively affects the membrane elasticity and leads to fast rupture of the formed bubbles.","publication_date":"2009,,","publication_name":"Chemical Engineering and Processing: Process Intensification","grobid_abstract_attachment_id":"99915442"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Bubbles growth and their stability in reactive flotation process","broadcastable":false,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [261844362]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "full_page_mobile_sutd_modal"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":99915442,"attachmentType":"pdf"}"><img alt="First page of “Bubbles growth and their stability in reactive flotation process”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/99915442/mini_magick20230316-1-etadpf.png?1678952381" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/assets/single_work_splash/adobe.icon-574afd46eb6b03a77a153a647fb47e30546f9215c0ee6a25df597a779717f9ef.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Bubbles growth and their stability in reactive flotation process</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="261844362" href="https://independent.academia.edu/AymanElMidany"><img alt="Profile image of Ayman El Midany" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/261844362/113643116/102915499/s65_ayman.el_midany.png" />Ayman El Midany</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">2009, Chemical Engineering and Processing: Process Intensification</p><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">description</span><p class="ds2-5-body-sm">5 pages</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 98612826; 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data-author-id="3983050" href="https://imperial.academia.edu/StephenNeethling">Stephen Neethling</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2004</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"EFFECT OF HUMIC SUBSTANCES AND PARTICLES ON BUBBLE COALESCENCE AND FOAM STABILITY IN RELATION TO DISSOLVED AIR FLOTATION PROCESSES","attachmentId":31194909,"attachmentType":"pdf","work_url":"https://www.academia.edu/3417881/EFFECT_OF_HUMIC_SUBSTANCES_AND_PARTICLES_ON_BUBBLE_COALESCENCE_AND_FOAM_STABILITY_IN_RELATION_TO_DISSOLVED_AIR_FLOTATION_PROCESSES","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/3417881/EFFECT_OF_HUMIC_SUBSTANCES_AND_PARTICLES_ON_BUBBLE_COALESCENCE_AND_FOAM_STABILITY_IN_RELATION_TO_DISSOLVED_AIR_FLOTATION_PROCESSES"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="122312750" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/122312750/Analysis_of_the_gas_phase_in_flotation_process_Part_1_Experimental_determination_of_the_volume_of_air_bubbles_in_the_pneumo_mechanical_flotation_machine">Analysis of the gas phase in flotation process. Part 1, Experimental determination of the volume of air bubbles in the pneumo-mechanical flotation machine</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="178756668" href="https://independent.academia.edu/AnnaM%C5%82ynarczykowska">Anna Młynarczykowska</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2015</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Analysis of the gas phase in flotation process. Part 1, Experimental determination of the volume of air bubbles in the pneumo-mechanical flotation machine","attachmentId":117004144,"attachmentType":"pdf","work_url":"https://www.academia.edu/122312750/Analysis_of_the_gas_phase_in_flotation_process_Part_1_Experimental_determination_of_the_volume_of_air_bubbles_in_the_pneumo_mechanical_flotation_machine","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/122312750/Analysis_of_the_gas_phase_in_flotation_process_Part_1_Experimental_determination_of_the_volume_of_air_bubbles_in_the_pneumo_mechanical_flotation_machine"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="49296979" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/49296979/The_significance_of_positive_and_negative_inertial_forces_in_Particle_Bubble_interaction_and_their_role_in_the_general_flotation_kinetics_model">The significance of positive and negative inertial forces in Particle-Bubble interaction and their role in the general flotation kinetics model</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="138962789" href="https://psu-us.academia.edu/AmirEskanlou">Amir Eskanlou</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2021</p><p class="ds-related-work--abstract ds2-5-body-sm">In this study, a theoretical evaluation of the effect of inertial forces in particle-bubble interactions during the flotation process is presented and supported by the experimental data. The effects of positive and negative inertial forces were analyzed by comparing the differences between the models, which either consider or neglect the inertial forces. The Sutherland collision model and the Nguyen attachment model that completely ignore the effect of particle's inertial forces (inertialess models) were implemented into the general flotation kinetic model. The modified model was then compared with one of the most accurate inertial models, which considers the Generalized Sutherland Equation (GSE) for collision efficiency along with the Dobby-Finch model for attachment efficiency. The flotation kinetics of chalcopyrite and galena particles were estimated using the general flotation kinetic model in order to demonstrate the effect of particle density on the model, which emphasizes the effect of inertial forces. The influence of positive and negative inertial forces on flotation kinetics was evaluated for various explicit parameters such as particle density, turbulence (energy dissipation), and bubble size and velocity. Obtained theoretical results clearly showed the potential of the particle density to counterbalance the negative effects of the inertial forces. The capability of the positive inertial forces for galena particles (high density) to overcome its negative effect was shown when the general flotation kinetic model was used. Theoretical calculations were further confirmed by experimental bubble loading measurements. It was shown that the inertial forces should not be omitted in any flotation model amidst concerns over the complexity.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The significance of positive and negative inertial forces in Particle-Bubble interaction and their role in the general flotation kinetics model","attachmentId":67679449,"attachmentType":"pdf","work_url":"https://www.academia.edu/49296979/The_significance_of_positive_and_negative_inertial_forces_in_Particle_Bubble_interaction_and_their_role_in_the_general_flotation_kinetics_model","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/49296979/The_significance_of_positive_and_negative_inertial_forces_in_Particle_Bubble_interaction_and_their_role_in_the_general_flotation_kinetics_model"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="9" data-entity-id="47909101" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/47909101/Bubble_size_distribution_in_laboratory_scale_flotation_cells">Bubble size distribution in laboratory scale flotation cells</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="68483" href="https://aalto-fi.academia.edu/KariHeiskanen">Kari Heiskanen</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Minerals Engineering, 2005</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Bubble size distribution in laboratory scale flotation cells","attachmentId":66794639,"attachmentType":"pdf","work_url":"https://www.academia.edu/47909101/Bubble_size_distribution_in_laboratory_scale_flotation_cells","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/47909101/Bubble_size_distribution_in_laboratory_scale_flotation_cells"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--sticky-ctas","attachmentId":99915442,"attachmentType":"pdf","workUrl":null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--sticky-ctas","attachmentId":99915442,"attachmentType":"pdf","workUrl":null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_99915442" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. 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js-related-work-sidebar-card" data-collection-position="5" data-entity-id="76922174" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/76922174/Effects_of_bubble_size_velocity_and_particle_agglomeration_on_the_electro_flotation_kinetics_of_fine_cassiterite">Effects of bubble size, velocity, and particle agglomeration on the electro‐flotation kinetics of fine cassiterite</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="121646299" href="https://independent.academia.edu/XiaozhenMa">Xiaozhen Ma</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Asia-Pacific Journal of Chemical Engineering, 2019</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Effects of 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data-collection-position="6" data-entity-id="41276285" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/41276285/Interactional_effects_of_bubble_size_particle_size_and_collector_dosage_on_bubble_loading_in_column_flotation">Interactional effects of bubble size, particle size, and collector dosage on bubble loading in column flotation</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="138962789" href="https://psu-us.academia.edu/AmirEskanlou">Amir Eskanlou</a><span>, </span><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="139735693" href="https://independent.academia.edu/MChegeni">M. Chegeni</a></div><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Interactional effects of bubble size, particle size, and collector dosage on bubble loading in column flotation","attachmentId":61495614,"attachmentType":"pdf","work_url":"https://www.academia.edu/41276285/Interactional_effects_of_bubble_size_particle_size_and_collector_dosage_on_bubble_loading_in_column_flotation","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/41276285/Interactional_effects_of_bubble_size_particle_size_and_collector_dosage_on_bubble_loading_in_column_flotation"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="7" data-entity-id="122312749" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/122312749/Analysis_of_the_Gas_Phase_in_Flotation_Process_Part_2_Empirical_Functions_of_Occurrence_Frequency_of_Tested_Parameters">Analysis of the Gas Phase in Flotation Process. 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data-collection-position="18" data-entity-id="54612684" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/54612684/Bubble_generation_assessment_for_an_industrial_flotation_column">Bubble generation assessment for an industrial flotation column</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="184784338" href="https://independent.academia.edu/BHuls">Bert Huls</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Minerals Engineering, 1991</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Bubble generation assessment for an industrial flotation 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