{"id":8121,"date":"2022-12-12T01:32:30","date_gmt":"2022-12-12T00:32:30","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8121"},"modified":"2024-06-04T13:23:26","modified_gmt":"2024-06-04T12:23:26","slug":"how-to-calculate-and-solve-for-critical-radius-of-solidifying-media-phase-transformation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/12\/12\/how-to-calculate-and-solve-for-critical-radius-of-solidifying-media-phase-transformation\/","title":{"rendered":"How to Calculate and Solve for Critical Radius of Solidifying Media | Phase Transformation"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents the critical radius of solidifying media. To calculate the critical radius of solidifying media, four essential parameters are needed and these parameters are\u00a0Surface Free Energy (\u03b3), Latent Heat of Fusion (\u0394Hf<\/sub>), Melting Temperature of Solid (Kelvin) (Tm<\/sub>)\u00a0<\/strong>and\u00a0Temperature (Kelvin) (T).<\/strong><\/p>\n

The formula for calculating critical radius of solidifying media:<\/strong><\/h3>\n

r* =\u00a0-2\u03b3Tm<\/sub><\/sup>\/\u0394Hf\u00a0(Tm\u00a0– T)<\/sub><\/p>\n

Where:<\/p>\n

r* = Critical Radius of Solidifying Media
\n\u03b3 = Surface Free Energy
\nTm<\/sub>\u00a0= Melting Temperature of Solid
\nT = Temperature
\n\u0394Hf<\/sub>\u00a0= Latent Heat of Fusion<\/p>\n

Given an example;
\nFind the critical radius of solidifying media when the surface free energy is 2, the melting temperature of solid is 12, the temperature is 20 and latent heat of fusion is 4.<\/p>\n

This implies that;<\/p>\n

\u03b3 = Surface Free Energy = 2
\nTm<\/sub> = Melting Temperature of Solid = 12
\nT = Temperature = 20
\n\u0394Hf<\/sub> = Latent Heat of Fusion = 4<\/p>\n

r* =\u00a0-2\u03b3Tm<\/sub><\/sup>\/\u0394Hf\u00a0(Tm\u00a0– T)<\/sub>
\nr* =\u00a0-2(2)(12)<\/sup>\/(4)(12 – 20)<\/sub>
\nSo, r* = (-48)<\/sup>\/(4)(-8)<\/sub>
\nr* =\u00a0(-48)<\/sup>\/(-32)<\/sub>
\nr* = 1.5<\/p>\n

Therefore, the\u00a0critical radius of solidifying media\u00a0<\/strong>is\u00a01.5 cm.<\/strong><\/p>\n

Read more: How to Calculate and Solve for Critical Radius for Homogeneous Nucleation | Phase Transformation<\/a><\/p>\n

How to Calculate the Critical Radius of Solidifying Media With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013 The Calculator Encyclopedia<\/strong> is capable of calculating the liquid mass fraction.<\/p>\n

\n

To get the answer and workings of the liquid mass fraction using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n

Apple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n<\/div>\n

<\/p>\n

Now, Click on\u00a0Phase Transformation<\/strong>\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Critical Radius of Solidifying Media<\/strong>\u00a0<\/strong>under\u00a0Phase Transformation<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the critical radius of solidifying media according to the respective parameter which is the Surface Free Energy (\u03b3), Latent Heat of Fusion (\u0394Hf<\/sub>), Melting Temperature of Solid (Kelvin) (Tm<\/sub>)\u00a0<\/strong>and\u00a0Temperature (Kelvin) (T).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Surface Free Energy (\u03b3)<\/strong> is 2<\/strong>, Latent Heat of Fusion (\u0394Hf<\/sub>)<\/strong> is 4<\/strong>, Melting Temperature of Solid (Kelvin) (Tm<\/sub>)<\/strong> is 12 <\/strong>and Temperature (Kelvin) (T)<\/strong> is 20<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How
\n\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the critical radius of solidifying media and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the critical radius of solidifying media. To calculate the critical radius of solidifying media,…","protected":false},"author":5,"featured_media":16318,"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":""},"categories":[47],"tags":[2276,60,1699,543,2275,2244,2270,75],"class_list":["post-8121","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-critical-radius-of-solidifying-media","tag-engineering","tag-latent-heat-of-fusion","tag-materials-and-metallurgical","tag-melting-temperature-of-solid","tag-phase-transformation","tag-surface-free-energy","tag-temperature","cs-entry"],"yoast_head":"\nHow 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