{"id":5529,"date":"2021-07-24T08:40:44","date_gmt":"2021-07-24T07:40:44","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5529"},"modified":"2024-05-07T17:33:06","modified_gmt":"2024-05-07T16:33:06","slug":"how-to-calculate-and-solve-for-reynolds-number-at-minimum-fluidization-fluidization","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/07\/24\/how-to-calculate-and-solve-for-reynolds-number-at-minimum-fluidization-fluidization\/","title":{"rendered":"How to Calculate and Solve for Reynold&#8217;s Number at Minimum Fluidization | Fluidization"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-5586\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/reynolds-number-at-minimum-fluidization.jpg\" alt=\"\" width=\"261\" height=\"193\" \/><\/p>\n<p>The image above represents Reynold&#8217;s number. To calculate Reynold&#8217;s number, four essential parameters are needed, and these parameters are Fluidization at Minimum Velocity (of), Diameter of Bed (d), Density (\u03c1), and Viscosity (\u03bc).<\/p>\n<h3><strong>The formula for calculating Reynold&#8217;s number:<\/strong><\/h3>\n<p>Re&#8217;<sub>mf<\/sub>\u00a0=\u00a0<sup>u<sub>mf<\/sub>d\u03c1<\/sup>\/<sub>\u03bc<\/sub><\/p>\n<p>Where:<\/p>\n<p>Re&#8217;<sub>mf<\/sub>\u00a0= Reynold&#8217;s Number at Minimum Fluidization<br \/>\nu<sub>mf<\/sub>\u00a0= Fluidization at Minimum Velocity<br \/>\nd = Diameter of Bed<br \/>\n\u03c1 = Density<br \/>\n\u03bc = Viscosity<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind Reynold&#8217;s number at minimum fluidization when the fluidization at minimum is 14, the diameter of the bed is 8, the density is 12, and the viscosity is 2.<\/p>\n<p>This implies that;<\/p>\n<p>u<sub>mf<\/sub> = Fluidization at Minimum Velocity = 14<br \/>\nd = Diameter of Bed = 8<br \/>\n\u03c1 = Density = 12<br \/>\n\u03bc = Viscosity = 2<\/p>\n<p>Re&#8217;<sub>mf<\/sub>\u00a0=\u00a0<sup>u<sub>mf<\/sub>d\u03c1<\/sup>\/<sub>\u03bc<\/sub><br \/>\nSo, Re&#8217;<sub>mf<\/sub>\u00a0=\u00a0<sup>(14)(8)(12)<\/sup>\/<sub>2<\/sub><br \/>\nRe&#8217;<sub>mf<\/sub>\u00a0=\u00a0<sup>(1344)<\/sup>\/<sub>2<\/sub><br \/>\nRe&#8217;<sub>mf<\/sub> = 672<\/p>\n<p>Therefore, <strong>Reynold&#8217;s number at minimum fluidization <\/strong>is\u00a0<strong>672.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2021\/07\/24\/how-to-calculate-and-solve-for-galileos-number-fluidization\/\">How to Calculate and Solve for Galileo&#8217;s Number | Fluidization<\/a><\/p>\n<h3><strong>Calculating the Fluidization at Minimum Velocity when Reynold&#8217;s Number at Minimum Fluidization, the Diameter of Bed, the Density and the Viscosity are Given<\/strong><\/h3>\n<p>u<sub>mf<\/sub> = <sup>Re&#8217;<sub>mf<\/sub> x \u03bc<\/sup> \/ <sub>d\u03c1<\/sub><\/p>\n<p>Where;<\/p>\n<p>u<sub>mf<\/sub> = Fluidization at Minimum Velocity<br \/>\nRe&#8217;<sub>mf<\/sub>\u00a0= Reynold&#8217;s Number at Minimum Fluidization<br \/>\nd = Diameter of Bed<br \/>\n\u03c1 = Density<br \/>\n\u03bc = Viscosity<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the fluidization at minimum velocity when the Reynold&#8217;s number at minimum fluidization is 12, the diameter of bed is 4, the density is 8 and the viscosity is 3.<\/p>\n<p>This implies that;<\/p>\n<p>Re&#8217;<sub>mf<\/sub> = Reynold&#8217;s Number at Minimum Fluidization = 12<br \/>\nd = Diameter of Bed = 4<br \/>\n\u03c1 = Density = 8<br \/>\n\u03bc = Viscosity = 3<\/p>\n<p>u<sub>mf<\/sub> = <sup>Re&#8217;<sub>mf<\/sub> x \u03bc<\/sup> \/ <sub>d\u03c1<\/sub><br \/>\nSo, u<sub>mf<\/sub> = <sup>12 x 3<\/sup> \/ <sub>(4)(8)<\/sub><br \/>\nu<sub>mf<\/sub> = <sup>36<\/sup> \/ <sub>32<\/sub><br \/>\nu<sub>mf<\/sub> = 1.125<\/p>\n<p>Therefore, the\u00a0<strong>fluidization at minimum velocity\u00a0<\/strong>is\u00a0<strong>1.125.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2021\/07\/28\/how-to-calculate-and-solve-for-height-of-fluidized-bed-fluidization\/\">How to Calculate and Solve for Height of Fluidized Bed | Fluidization<\/a><\/p>\n<h3><strong>Calculating the Diameter of Bed when the Reynold&#8217;s Number at Minimum Fluidization, the Fluidization at Minimum Velocity, the Density and the Viscosity are Given<\/strong><\/h3>\n<p>d = <sup>Re&#8217;<sub>mf<\/sub> x \u03bc<\/sup> \/ <sub>u<sub>mf<\/sub>\u03c1<\/sub><\/p>\n<p>Where;<\/p>\n<p>d = Diameter of Bed<br \/>\nRe&#8217;<sub>mf<\/sub>\u00a0= Reynold&#8217;s Number at Minimum Fluidization<br \/>\nu<sub>mf<\/sub>\u00a0= Fluidization at Minimum Velocity<br \/>\n\u03c1 = Density<br \/>\n\u03bc = Viscosity<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the diameter of bed when the Reynold&#8217;s number at minimum fluidization is 21, the fluidization at minimum velocity is 24, the density is 5 and the viscosity is 7.<\/p>\n<p>This implies that;<\/p>\n<p>Re&#8217;<sub>mf<\/sub> = Reynold&#8217;s Number at Minimum Fluidization = 21<br \/>\nu<sub>mf<\/sub> = Fluidization at Minimum Velocity = 24<br \/>\n\u03c1 = Density = 5<br \/>\n\u03bc = Viscosity = 7<\/p>\n<p>d = <sup>Re&#8217;<sub>mf<\/sub> x \u03bc<\/sup> \/ <sub>u<sub>mf<\/sub>\u03c1<\/sub><br \/>\nSo, d = <sup>21 x 7<\/sup> \/ <sub>(24)(5)<\/sub><br \/>\nd = <sup>147<\/sup> \/ <sub>120<\/sub><br \/>\nd = 1.225<\/p>\n<p>Therefore, the\u00a0<strong>diameter of bed\u00a0<\/strong>is\u00a0<strong>1.225.<\/strong><\/p>\n<h3><strong>Calculating the Density when Reynold&#8217;s Number at Minimum Fluidization, the Fluidization at Minimum Velocity, the Diameter of Bed and the Viscosity are Given<\/strong><\/h3>\n<p>\u03c1 = <sup>Re&#8217;<sub>mf<\/sub> x \u03bc<\/sup> \/ <sub>u<sub>mf<\/sub>d<\/sub><\/p>\n<p>Where;<\/p>\n<p>\u03c1 = Density<br \/>\nRe&#8217;<sub>mf<\/sub>\u00a0= Reynold&#8217;s Number at Minimum Fluidization<br \/>\nu<sub>mf<\/sub>\u00a0= Fluidization at Minimum Velocity<br \/>\nd = Diameter of Bed<br \/>\n\u03bc = Viscosity<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the density when the Reynold&#8217;s number at minimum fluidization is 8, the fluidization at minimum velocity is 3, the diameter of bed is 10 and the viscosity is 12.<\/p>\n<p>This implies that;<\/p>\n<p>Re&#8217;<sub>mf<\/sub> = Reynold&#8217;s Number at Minimum Fluidization = 8<br \/>\nu<sub>mf<\/sub> = Fluidization at Minimum Velocity = 3<br \/>\nd = Diameter of Bed = 10<br \/>\n\u03bc = Viscosity = 12<\/p>\n<p>\u03c1 = <sup>Re&#8217;<sub>mf<\/sub> x \u03bc<\/sup> \/ <sub>u<sub>mf<\/sub>d<\/sub><br \/>\nThen, \u03c1 = <sup>8 x 12<\/sup> \/ <sub>(3)(10)<\/sub><br \/>\n\u03c1 = <sup>96<\/sup> \/ <sub>30<\/sub><br \/>\n\u03c1 = 3.2<\/p>\n<p>Therefore, the\u00a0<strong>density\u00a0<\/strong>is\u00a0<strong>3.2.<\/strong><\/p>\n<h3><strong>Calculating the Viscosity when the Reynold&#8217;s Number at Minimum Fluidization, the Fluidization at Minimum Velocity, the Diameter of Bed and the Density are Given<\/strong><\/h3>\n<p>\u03bc = <sup>u<sub>mf<\/sub>d\u03c1<\/sup> \/ <sub>Re&#8217;<sub>mf<\/sub><\/sub><\/p>\n<p>Where;<\/p>\n<p>\u03bc = Viscosity<br \/>\nRe&#8217;<sub>mf<\/sub> = Reynold&#8217;s Number at Minimum Fluidization<br \/>\nu<sub>mf<\/sub>\u00a0= Fluidization at Minimum Velocity<br \/>\nd = Diameter of Bed<br \/>\n\u03c1 = Density<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the viscosity when the Reynold&#8217;s number at minimum fluidization is 4, the fluidization at minimum velocity is 8, the diameter of bed is 2 and the density is 6.<\/p>\n<p>This implies that;<\/p>\n<p>Re&#8217;<sub>mf<\/sub> = Reynold&#8217;s Number at Minimum Fluidization = 4<br \/>\nu<sub>mf<\/sub> = Fluidization at Minimum Velocity = 8<br \/>\nd = Diameter of Bed = 2<br \/>\n\u03c1 = Density = 6<\/p>\n<p>\u03bc = <sup>u<sub>mf<\/sub>d\u03c1<\/sup> \/ <sub>Re&#8217;<sub>mf<\/sub><\/sub><br \/>\nSo, \u03bc = <sup>(8)(2)(6)<\/sup> \/ <sub>4<\/sub><br \/>\n\u03bc = <sup>96<\/sup> \/ <sub>4<\/sub><br \/>\n\u03bc = 24<\/p>\n<p>Therefore, the\u00a0<strong>viscosity\u00a0<\/strong>is\u00a0<strong>24.<\/strong><\/p>\n<h3><strong>How to Calculate Reynold&#8217;s Number at Minimum Fluidization Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the Reynold&#8217;s number at minimum fluidization.<\/p>\n<div>\n<p>To get the answer and workings of the Reynold&#8217;s number at minimum fluidization 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\u00a0<\/strong>for<strong>\u00a0NGN 2,000\u00a0<\/strong>per<strong>\u00a0annum<\/strong>\u00a0to 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><br \/>\n<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\u00a0<strong>Fluidization<\/strong><strong>\u00a0<\/strong>under\u00a0<strong>Materials and Metallurgical<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-5568 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-154.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-154.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-154-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-154-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-154-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>Reynold&#8217;s Number at Minimum Fluidization <\/strong>under\u00a0<strong>Fluidization<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-5582 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-165.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-165.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-165-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-165-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-165-768x432.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 Reynold&#8217;s number at minimum fluidization according to the respective parameter which is the <strong>Fluidization at Minimum Velocity (u<sub>mf<\/sub>), Diameter of Bed (d), Density (\u03c1)<\/strong> and <strong>Viscosity (\u03bc).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-5583 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-166.png\" alt=\"How to Calculate and Solve for Reynold's Number at Minimum Fluidization | Fluidization\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-166.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-166-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-166-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-166-768x432.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 <strong>Fluidization at Minimum Velocity (u<sub>mf<\/sub>)<\/strong> is <strong>8<\/strong>,<strong> Diameter of Bed (d)<\/strong> is <strong>8<\/strong>,<strong> Density (\u03c1)\u00a0<\/strong>is\u00a0<strong>12<\/strong> and <strong>Viscosity (\u03bc)<\/strong> is <strong>2<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-5584 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-167.png\" alt=\"How to Calculate and Solve for Reynold's Number at Minimum Fluidization | Fluidization\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-167.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-167-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-167-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-167-768x432.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-5585 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-168.png\" alt=\"How to Calculate and Solve for Reynold's Number at Minimum Fluidization | Fluidization\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-168.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-168-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-168-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-168-768x432.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 Reynold&#8217;s number at minimum fluidization and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents Reynold&#8217;s number. To calculate Reynold&#8217;s number, four essential parameters are needed, and these parameters&hellip;","protected":false},"author":5,"featured_media":14851,"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":[507,1574,60,1573,543,1575,118],"class_list":["post-5529","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-density","tag-diameter-of-the-bed","tag-engineering","tag-fluidization-at-minimum-velocity","tag-materials-and-metallurgical","tag-reynolds-number-at-minimum-fluidization","tag-viscosity","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 Reynold&#039;s Number at Minimum Fluidization | Fluidization<\/title>\n<meta name=\"description\" content=\"Master the steps and formula on How to Calculate Reynold&#039;s Number at Minimum Fluidization. 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