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[{"id":48743361,"identifier":"Attachment_48743361","shouldShowBulkDownload":false}]; window.loswp.shouldDetectTimezone = true; window.loswp.shouldShowBulkDownload = true; window.loswp.showSignupCaptcha = false window.loswp.willEdgeCache = false; window.loswp.work = {"work":{"id":28403521,"created_at":"2016-09-11T00:21:34.805-07:00","from_world_paper_id":157377367,"updated_at":"2024-11-14T19:29:38.517-08:00","_data":{"grobid_abstract":"Understanding the attachment micro process is a fundamental step toward predicting the rate constant of flotation kinetics. In this research, the effect of bubble-particle attachment efficiency on k-S b relationship was investigated under Yoon, Stokes and Potential conditions. Maximum Stokes attachment efficiency obtained was 55.9% with particle size of -37 µm, S b of 34.2 1/s and flotation rate of 1.65 1/min. Stokes attachment efficiency was less than Yoon efficiency and it seems to be a suitable equation for predicting attachment efficiency. Furthermore, three different models were obtained for estimating attachment efficiency usingk-S b relationship.","publication_date":"2015,,","publication_name":"American Journal of Chemical Engineering","grobid_abstract_attachment_id":"48743361"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Study of Relationship between Flotation Rate and Bubble Surface Area Flux using Bubble-Particle Attachment Efficiency","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [53214123]; 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="" 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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/21355060/Bubble_particle_attachment_and_detachment_in_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-wsj-grid-card" data-collection-position="6" data-entity-id="21190068" 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/21190068/CFD_modelling_of_bubble_particle_attachments_in_flotation_cells">CFD modelling of bubble–particle attachments in 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="42349095" href="https://monash.academia.edu/PeterTLKoh">Peter T.L. Koh</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2006</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":"CFD modelling of bubble–particle attachments in flotation cells","attachmentId":41754860,"attachmentType":"pdf","work_url":"https://www.academia.edu/21190068/CFD_modelling_of_bubble_particle_attachments_in_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/21190068/CFD_modelling_of_bubble_particle_attachments_in_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 class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="41113183" 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/41113183/Estimation_of_flotation_rate_constant_and_particle_bubble_interactions_considering_key_hydrodynamic_parameters_and_their_interrelations">Estimation of flotation rate constant and particle-bubble interactions considering key hydrodynamic parameters and their interrelations</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="2799076" href="https://hzdr.academia.edu/AhmadHassanzadeh">Ahmad Hassanzadeh</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Minerals Engineering, 2019</p><p class="ds-related-work--abstract ds2-5-body-sm">Particle-bubble sub-processes cannot be directly and physically obtained in froth flotation due to the complexity of the process as well as numerous and dynamic interactions of particles and bubbles in an extremely intensive turbulent condition. Therefore, over the last three decades, two fundamental model configurations have been used as an only solution for prediction of particle-bubble collection efficiencies (E coll). Additionally, the relative intensity of the main flotation parameters on flotation rate constant, particle-bubble interactions together with their interrelations is not adequately addressed in the literature. The present study attempts in two separate phases to overcome these difficulties. In the first stage, prediction and evaluation of particle-bubble sub-processes are critically discussed by categorizing them in two configurations. The analytical models (approach I) commonly applied generalized Sutherland equation (E c GSE), modified Dobby-Finch (E a DF) and modified Schulze stability (E s SC) models. The second approach, numerical models, utilized Yoon-Luttrell (E c YL), Yoon-Luttrell (intermediate) (E a YL) and modified Schulze stability (E s SC) models. In the second stage, relative intensity and interrelation of key effective hydrodynamic parameters on the probability of particle-bubble encounter (E c) and flotation rate constant (k) are obtained and optimized by means of the response surface modeling (RSM) based on central composite design (CCD). Five key factors including particle size (1-100 µm), particle density (1.3-4.1 kg/m 3), bubble size (0.05-0.10 cm) and bubble velocity (10-30 cm/s) together with turbulence dissipation rate (18-30 m 2 /s 3) are considered in order to maximize the responses including the k and E c. The results obtained show that the E coll calculated by numerical techniques (configuration (II)) is greater than that of analytical approaches (configuration (I)) due to assumptions involved in using Yoon-Luttrell collision and attachment models. It is also found that under the conditions studied, particle size and bubble velocity are the most effective factors on E c and k, respectively. Furthermore, not only the relative significance of factors on E c and k but also the interrelation of cell turbulence and bubble size as well as bubble velocity and turbulence are shown to be inconsistent in the literature and thus require further studies. We briefly reported the main long-standing challenges in flotation kinetic modeling and emphasized on a serious need for fulfilling lack of physical observations. Finally, the presented analyses with respect to three-zone model offer a new concept for the extension of common flotation modeling approach using analytical and numerical techniques.</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":"Estimation of flotation rate constant and particle-bubble interactions considering key hydrodynamic parameters and their interrelations","attachmentId":61367570,"attachmentType":"pdf","work_url":"https://www.academia.edu/41113183/Estimation_of_flotation_rate_constant_and_particle_bubble_interactions_considering_key_hydrodynamic_parameters_and_their_interrelations","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/41113183/Estimation_of_flotation_rate_constant_and_particle_bubble_interactions_considering_key_hydrodynamic_parameters_and_their_interrelations"><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="21190091" 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/21190091/Particle_bubble_interaction_and_attachment_in_flotation">Particle–bubble interaction and attachment in flotation</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="42349095" href="https://monash.academia.edu/PeterTLKoh">Peter T.L. Koh</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Chemical Engineering Science, 2011</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":"Particle–bubble interaction and attachment in flotation","attachmentId":41754868,"attachmentType":"pdf","work_url":"https://www.academia.edu/21190091/Particle_bubble_interaction_and_attachment_in_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-wsj-grid-card-view-pdf" href="https://www.academia.edu/21190091/Particle_bubble_interaction_and_attachment_in_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-wsj-grid-card" data-collection-position="9" 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></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":48743361,"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":48743361,"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_48743361" 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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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="87993199" 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/87993199/Bubble_size_distribution_in_a_flotation_column">Bubble size distribution in a 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="65858419" href="https://independent.academia.edu/skbiswal">sk biswal</a></div><p class="ds-related-work--metadata ds2-5-body-xs">The Canadian Journal of Chemical Engineering, 1994</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 a flotation 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