{"id":6528,"date":"2021-11-23T10:38:46","date_gmt":"2021-11-23T09:38:46","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=6528"},"modified":"2024-05-17T10:52:14","modified_gmt":"2024-05-17T09:52:14","slug":"how-to-calculate-and-solve-for-velocity-of-fine-particles-mineral-processing","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/11\/23\/how-to-calculate-and-solve-for-velocity-of-fine-particles-mineral-processing\/","title":{"rendered":"How to Calculate and Solve for Velocity of Fine Particles | Mineral Processing"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-6545\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/velocity-of-fine-particles.png\" alt=\"\" width=\"267\" height=\"188\" \/><\/p>\n<p>The image above represents velocity of fine particles. To calculate velocity of fine particles, four essential parameters are needed and these parameters are <strong>Constant for Fluid (k<sub>1<\/sub>), Particle Diameter (d), Density of Solid Particle(s) (\u03c1<sub>s<\/sub>)<\/strong> and <strong>Density of Fluid (\u03c1<sub>f<\/sub>).<\/strong><\/p>\n<h3><strong>The formula for calculating the velocity of fine particles:<\/strong><\/h3>\n<p>v = k<sub>1<\/sub>d\u00b2(\u03c1<sub>s<\/sub> &#8211; \u03c1<sub>f<\/sub>)<\/p>\n<p>Where:<\/p>\n<p>v = Velocity of Fine Particles<br \/>\nk<sub>1<\/sub> = Constant for Fluid<br \/>\nd = Particle Diameter<br \/>\n\u03c1<sub>s<\/sub> = Density of Solid Particle(s)<br \/>\n\u03c1<sub>f<\/sub> = Density of Fluid<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the velocity of fine particles when the constant for fluid is 12, the particle diameter is 8, the density of solid particle is 4 and the density of fluid is 10.<\/p>\n<p>This implies that;<\/p>\n<p>k<sub>1<\/sub> = Constant for Fluid = 12<br \/>\nd = Particle Diameter = 8<br \/>\n\u03c1<sub>s<\/sub> = Density of Solid Particle(s) = 4<br \/>\n\u03c1<sub>f<\/sub> = Density of Fluid = 10<\/p>\n<p>v = k<sub>1<\/sub>d\u00b2(\u03c1<sub>s<\/sub> &#8211; \u03c1<sub>f<\/sub>)<br \/>\nv = 12(8)\u00b2(4 &#8211; 10)<br \/>\nSo, v = 12(64)(-6)<br \/>\nv = -4608<\/p>\n<p>Therefore, the <strong>velocity of fine particles <\/strong>is <strong>-4608 m\/s.<\/strong><\/p>\n<h3><strong>Calculating the Constant for Fluid when the Velocity of Fine Particles, the Particle Diameter, the Density of Solid Particle and the Density of Fluid are Given<\/strong><\/h3>\n<p>k<sub>1<\/sub> = <sup>v<\/sup> \/ <sub>d\u00b2(\u03c1<sub>s<\/sub> &#8211; \u03c1<sub>f<\/sub>)<\/sub><\/p>\n<p>Where:<\/p>\n<p>k<sub>1<\/sub> = Constant for Fluid<br \/>\nv = Velocity of Fine Particles<br \/>\nd = Particle Diameter<br \/>\n\u03c1<sub>s<\/sub> = Density of Solid Particle(s)<br \/>\n\u03c1<sub>f<\/sub> = Density of Fluid<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the constant for fluid when the velocity of fine particles is 68, the particle diameter is 4, the density of solid particle is 10 and the density of fluid is 6.<\/p>\n<p>This implies that;<\/p>\n<p>v = Velocity of Fine Particles = 68<br \/>\nd = Particle Diameter = 4<br \/>\n\u03c1<sub>s<\/sub> = Density of Solid Particle(s) = 10<br \/>\n\u03c1<sub>f<\/sub> = Density of Fluid = 6<\/p>\n<p>k<sub>1<\/sub> = <sup>v<\/sup> \/ <sub>d\u00b2(\u03c1<sub>s<\/sub> &#8211; \u03c1<sub>f<\/sub>)<\/sub><br \/>\nk<sub>1<\/sub> = <sup>68<\/sup> \/ <sub>4\u00b2(10 &#8211; 6)<\/sub><br \/>\nThat is, k<sub>1<\/sub> = <sup>68<\/sup> \/ <sub>16(4)<\/sub><br \/>\nk<sub>1<\/sub> = <sup>68<\/sup> \/ <sub>64<\/sub><br \/>\nk<sub>1<\/sub> = 1.06<\/p>\n<p>Therefore, the <strong>constant for fluid <\/strong>is <strong>1.06.<\/strong><\/p>\n<h3><strong>Calculating the Particle Diameter when the Velocity of Fine Particles, the Constant for Fluid, the Density of Solid Particle and the Density of Fluid are Given<\/strong><\/h3>\n<p>d = \u221a(<sup>v<\/sup> \/ <sub>k<sub>1<\/sub> (\u03c1<sub>s<\/sub> &#8211; \u03c1<sub>f<\/sub>)<\/sub>)<\/p>\n<p>Where:<\/p>\n<p>d = Particle Diameter<br \/>\nv = Velocity of Fine Particles<br \/>\nk<sub>1<\/sub> = Constant for Fluid<br \/>\n\u03c1<sub>s<\/sub> = Density of Solid Particle(s)<br \/>\n\u03c1<sub>f<\/sub> = Density of Fluid<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the particle diameter when the velocity of fine particles is 88, the constant for fluid is 12, the density of solid particle is 8 and the density of fluid is 5.<\/p>\n<p>This implies that;<\/p>\n<p>v = Velocity of Fine Particles = 88<br \/>\nk<sub>1<\/sub> = Constant for Fluid = 12<br \/>\n\u03c1<sub>s<\/sub> = Density of Solid Particle(s) = 8<br \/>\n\u03c1<sub>f<\/sub> = Density of Fluid = 5<\/p>\n<p>d = \u221a(<sup>v<\/sup> \/ <sub>k<sub>1<\/sub> (\u03c1<sub>s<\/sub> &#8211; \u03c1<sub>f<\/sub>)<\/sub>)<br \/>\nThat is, d = \u221a(<sup>88<\/sup> \/ <sub>12 (8 &#8211; 5)<\/sub>)<br \/>\nd = \u221a(<sup>88<\/sup> \/ <sub>12 (3)<\/sub>)<br \/>\nd = \u221a(<sup>88<\/sup> \/ <sub>36<\/sub>)<br \/>\nSo, d = \u221a2.44<br \/>\nd = 1.56<\/p>\n<p>Therefore, the <strong>particle diameter <\/strong>is <strong>1.56.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2021\/11\/23\/how-to-calculate-and-solve-for-newtons-drag-force-for-turbulent-resistance-mineral-processing\/\">How to Calculate and Solve for Newton&#8217;s Drag Force for Turbulent Resistance | Mineral Processing<\/a><\/p>\n<h3><strong>Calculating the Density of Solid Particle when the Velocity of Fine Particles, the Constant for Fluid, the Particle Diameter and the Density of Fluid are Given<\/strong><\/h3>\n<p>\u03c1<sub>s<\/sub> = (<sup>v<\/sup> \/ <sub>k<sub>1<\/sub>d\u00b2<\/sub>) + \u03c1<sub>f<\/sub><\/p>\n<p>Where:<\/p>\n<p>\u03c1<sub>s<\/sub> = Density of Solid Particle(s)<br \/>\nv = Velocity of Fine Particles<br \/>\nk<sub>1<\/sub> = Constant for Fluid<br \/>\nd = Particle Diameter<br \/>\n\u03c1<sub>f<\/sub> = Density of Fluid<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the density of solid particle when the velocity of fine particles is 24, the constant for fluid is 10, the particle diameter is 8, the density of fluid is 4.<\/p>\n<p>This implies that;<\/p>\n<p>v = Velocity of Fine Particles = 24<br \/>\nk<sub>1<\/sub> = Constant for Fluid = 10<br \/>\nd = Particle Diameter = 8<br \/>\n\u03c1<sub>f<\/sub> = Density of Fluid = 4<\/p>\n<p>\u03c1<sub>s<\/sub> = (<sup>v<\/sup> \/ <sub>k<sub>1<\/sub>d\u00b2<\/sub>) + \u03c1<sub>f<\/sub><br \/>\nThat is, \u03c1<sub>s<\/sub> = (<sup>24<\/sup> \/ <sub>10(8\u00b2)<\/sub>) + 4<br \/>\n\u03c1<sub>s<\/sub> = (<sup>24<\/sup> \/ <sub>640<\/sub>) + 4<br \/>\nSo, \u03c1<sub>s<\/sub> = 0.0375 + 4<br \/>\n\u03c1<sub>s<\/sub> = 4.0375<\/p>\n<p>Therefore, the <strong>density of solid particle <\/strong>is <strong>4.0375.<\/strong><\/p>\n<h3><strong>Calculating the Density of Fluid when the Velocity of Fine Particles, the Constant for Fluid, the Particle Diameter and the Density of Solid Particle are Given<\/strong><\/h3>\n<p>\u03c1<sub>f<\/sub> = \u03c1<sub>s<\/sub> &#8211; (<sup>v<\/sup> \/ <sub>k<sub>1<\/sub>d\u00b2<\/sub>)<\/p>\n<p>Where:<\/p>\n<p>\u03c1<sub>f<\/sub> = Density of Fluid<br \/>\nv = Velocity of Fine Particles<br \/>\nk<sub>1<\/sub> = Constant for Fluid<br \/>\nd = Particle Diameter<br \/>\n\u03c1<sub>s<\/sub> = Density of Solid Particle(s)<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the density of fluid when the velocity of fine particles is 12, the constant for fluid is 2, the particle diameter is 5 and the density of solid particle is 6.<\/p>\n<p>This implies that;<\/p>\n<p>v = Velocity of Fine Particles = 12<br \/>\nk<sub>1<\/sub> = Constant for Fluid = 2<br \/>\nd = Particle Diameter = 5<br \/>\n\u03c1<sub>s<\/sub> = Density of Solid Particle(s) = 6<\/p>\n<p>\u03c1<sub>f<\/sub> = \u03c1<sub>s<\/sub> &#8211; (<sup>v<\/sup> \/ <sub>k<sub>1<\/sub>d\u00b2<\/sub>)<br \/>\nThen, \u03c1<sub>f<\/sub> = 6 &#8211; (<sup>12<\/sup> \/ <sub>2(5\u00b2)<\/sub>)<br \/>\n\u03c1<sub>f<\/sub> = 6 &#8211; (<sup>12<\/sup> \/ <sub>50<\/sub>)<br \/>\nSo, \u03c1<sub>f<\/sub> = 6 &#8211; 0.24<br \/>\n\u03c1<sub>f<\/sub> = 5.76<\/p>\n<p>Therefore, the <strong>density of fluid <\/strong>is <strong>5.76.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2021\/11\/23\/how-to-calculate-and-solve-for-velocity-at-turbulent-flow-mineral-processing\/\">How to Calculate and Solve for Velocity at Turbulent Flow | Mineral Processing<\/a><\/p>\n<h3><strong>How to Calculate Velocity of Fine Particles With Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the velocity of fine particles.<\/p>\n<div>\n<p>To get the answer and workings of the velocity of fine particles using the <strong>Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n<p>You can get this app via any of these means:<\/p>\n<p><strong>Web<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>To get access to the\u00a0<strong>professional\u00a0<\/strong>version via web, you need to\u00a0<strong>register<\/strong>\u00a0and\u00a0<strong>subscribe <\/strong>to have utter access to all functionalities.<br \/>\nYou can also try the\u00a0<strong>demo\u00a0<\/strong>version via\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator\">https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n<p><strong>Android (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Android (Free)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n<p><strong>Apple (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><br \/>\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0<strong>Calculator Map,\u00a0<\/strong>then click on\u00a0<b>Materials and Metallurgical\u00a0<\/b>under\u00a0<strong>Engineering<\/strong><strong>.<\/strong><\/p>\n<\/div>\n<p><img decoding=\"async\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-2.png\" \/><\/p>\n<p>Now, Click on <b>Mineral Processing <\/b>under\u00a0<strong>Materials and Metallurgical<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6417 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/10\/Screenshot-265.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/10\/Screenshot-265.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/10\/Screenshot-265-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/10\/Screenshot-265-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/10\/Screenshot-265-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>Velocity of Fine Particles<\/strong> under <strong>Mineral Processing<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6547 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-332.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-332.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-332-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-332-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-332-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>The screenshot below displays the page or activity to enter your values, to get the answer for the velocity of fine particles according to the respective parameter which is the <strong>Constant for Fluid (k<sub>1<\/sub>), Particle Diameter (d), Density of Solid Particle(s) (\u03c1<sub>s<\/sub>)<\/strong> and <strong>Density of Fluid (\u03c1<sub>f<\/sub>).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6548 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-333.png\" alt=\"How to Calculate and Solve for Velocity of Fine Particles | Mineral Processing\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-333.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-333-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-333-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-333-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, enter the values appropriately and accordingly for the parameters as required by the\u00a0<strong>Constant for Fluid (k<sub>1<\/sub>)<\/strong> is <strong>12<\/strong>,<strong> Particle Diameter (d)<\/strong> is <strong>8<\/strong>,<strong> Density of Solid Particle(s) (\u03c1<sub>s<\/sub>)<\/strong> is <strong>4 <\/strong>and <strong>Density of Fluid (\u03c1<sub>f<\/sub>)<\/strong> is <strong>10<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6549 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-334.png\" alt=\"How to Calculate and Solve for Velocity of Fine Particles | Mineral Processing\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-334.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-334-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-334-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-334-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Finally, Click on Calculate<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6550 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-335.png\" alt=\"How to Calculate and Solve for Velocity of Fine Particles | Mineral Processing\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-335.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-335-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-335-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-335-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><br \/>\n<img decoding=\"async\" class=\"alignnone wp-image-6551 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-336.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-336.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-336-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-336-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/11\/Screenshot-336-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>As you can see from\u00a0the screenshot above,\u00a0<strong>Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the velocity of fine particles and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents velocity of fine particles. To calculate velocity of fine particles, four essential parameters are&hellip;","protected":false},"author":5,"featured_media":15350,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":"","_members_access_role":[],"_members_access_error":""},"categories":[47],"tags":[1853,714,1849,60,543,1823,830,1854],"class_list":["post-6528","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-constant-for-fluid","tag-density-of-fluid","tag-density-of-solid-particle","tag-engineering","tag-materials-and-metallurgical","tag-mineral-processing","tag-particle-diameter","tag-velocity-of-fine-particles","cs-entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How to Calculate and Solve for Velocity of Fine Particles | Mineral Processing<\/title>\n<meta name=\"description\" content=\"Master the step by step guides on How to Calculate and Solve for Velocity of Fine Particles | Mineral Processing. 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