{"id":6011,"date":"2021-09-14T20:55:56","date_gmt":"2021-09-14T19:55:56","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=6011"},"modified":"2024-05-13T15:01:15","modified_gmt":"2024-05-13T14:01:15","slug":"how-to-calculate-and-solve-for-freezing-time-solidification-of-metals","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/09\/14\/how-to-calculate-and-solve-for-freezing-time-solidification-of-metals\/","title":{"rendered":"How to Calculate and Solve for Freezing Time | Solidification of Metals"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents freezing time. To calculate the freezing time, three essential parameters are needed, and these parameters are the Thickness of Solidified Metal (M), Constant (\u03b2)<\/strong> and Heat Diffusivity (\u03b1).<\/strong><\/p>\n

The formula for calculating freezing time:<\/strong><\/h3>\n

t = M\u00b2<\/sup> \/ 4\u03b2\u00b2\u03b1<\/sub><\/p>\n

Where:<\/p>\n

t = Freezing Time
\nM = Thickness of Solidified Metal
\n\u03b2 = Constant
\n\u03b1 = Heat Diffusivity<\/p>\n

Let’s solve an example;
\nFind the freezing time when the thickness of solidified metal is 8, the constant is 10 and the heat diffusivity is 2.<\/p>\n

This implies that;<\/p>\n

M = Thickness of Solidified Metal = 8
\n\u03b2 = Constant = 10
\n\u03b1 = Heat Diffusivity = 2<\/p>\n

t = M\u00b2<\/sup> \/ 4\u03b2\u00b2\u03b1<\/sub>
\nt = 8\u00b2<\/sup> \/ 4(10)\u00b2(2)<\/sub>
\nSo, t = 64<\/sup> \/ 4(100)(2)<\/sub>
\nt = 64<\/sup> \/ 800<\/sub>
\nt = 0.08<\/p>\n

Therefore, the freezing time <\/strong>is 0.08 s.<\/strong><\/p>\n

Calculating the Thickness of Solidified Metal when the Freezing Time, the Constant and the Heat Diffusivity are Given<\/strong><\/h3>\n

M = t x 4\u03b2\u00b2\u03b1<\/p>\n

Where:<\/p>\n

M = Thickness of Solidified Metal
\nt = Freezing Time
\n\u03b2 = Constant
\n\u03b1 = Heat Diffusivity<\/p>\n

Let’s solve an example;
\nFind the thickness of solidified metal when the freezing time is 21, the constant is 9 and the heat diffusivity is 2.<\/p>\n

This implies that;<\/p>\n

t = Freezing Time = 21
\n\u03b2 = Constant = 9
\n\u03b1 = Heat Diffusivity = 2<\/p>\n

M = t x 4\u03b2\u00b2\u03b1
\nThat is, M = 21 x 4(9\u00b2)(2)
\nM = 21 x 4(81)(2)
\nM = 21 x 4(162)
\nSo, M = 21 x 648
\nM = 13668<\/p>\n

Therefore, the thickness of solidified metal <\/strong>is 13668.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Solidification Time | Solidification of Metals<\/a><\/p>\n

Calculating the Constant when the Freezing Time, the Thickness of Solidified Metal and the Heat Diffusivity are Given<\/strong><\/h3>\n

\u03b2 = \u221a(M<\/sup> \/ t x 4\u03b1<\/sub>)<\/p>\n

Where:<\/p>\n

\u03b2 = Constant
\nt = Freezing Time
\nM = Thickness of Solidified Metal
\n\u03b1 = Heat Diffusivity<\/p>\n

Let’s solve an example;
\nFind the constant when the freezing time is 4, the thickness of solidified metal is 40 and the heat diffusivity is 2.<\/p>\n

This implies that;<\/p>\n

t = Freezing Time = 4
\nM = Thickness of Solidified Metal = 40
\n\u03b1 = Heat Diffusivity = 2<\/p>\n

\u03b2 = \u221a(40<\/sup> \/ 4 x 4(2)<\/sub>)
\n\u03b2 = \u221a(40<\/sup> \/ 4 x 8<\/sub>)
\nSo, \u03b2 = \u221a(40<\/sup> \/ 32<\/sub>)
\n\u03b2 = \u221a(1.25)
\n\u03b2 = 1.11<\/p>\n

Therefore, the constant <\/strong>is 1.11.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Heat Flux | Solidification of Metals<\/a><\/p>\n

Calculating the Heat Diffusivity when the Freezing Time, the Thickness of Solidified Metal and the Constant are Given<\/strong><\/h3>\n

\u03b1 = M<\/sup> \/ t x 4\u03b2\u00b2<\/sub><\/p>\n

Where:<\/p>\n

\u03b1 = Heat Diffusivity
\nt = Freezing Time
\nM = Thickness of Solidified Metal
\n\u03b2 = Constant<\/p>\n

Let’s solve an example;
\nGiven that the freezing time is 2, the thickness of solidified metal is 30 and the constant is 1. Find the heat diffusivity?<\/p>\n

This implies that;<\/p>\n

t = Freezing Time = 2
\nM = Thickness of Solidified Metal = 30
\n\u03b2 = Constant = 1<\/p>\n

\u03b1 = M<\/sup> \/ t x 4\u03b2\u00b2<\/sub>
\nThat is, \u03b1 = 30<\/sup> \/ 2 x 4(1\u00b2)<\/sub>
\n\u03b1 = 30<\/sup> \/ 8<\/sub>
\n\u03b1 = 3.75<\/p>\n

Therefore, the heat diffusivity <\/strong>is 3.75.<\/strong><\/p>\n

How to Calculate Freezing Time With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the freezing time.<\/p>\n

\n

To get the answer and workings of the freezing time 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>for\u00a0NGN 2,000\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to 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 Solidification of Metal <\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Freezing Time <\/strong>under Solidification of Metal
\n<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the freezing time according to the respective parameter which is the Thickness of Solidified Metal (M), Constant (\u03b2) and Heat Diffusivity (\u03b1).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Thickness of Solidified Metal (M)<\/strong> is 8<\/strong>, Constant (\u03b2)<\/strong> is 10 and Heat Diffusivity (\u03b1)<\/strong> is 2<\/strong>.<\/p>\n

\"How<\/p>\n

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

\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the freezing time and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents freezing time. To calculate the freezing time, three essential parameters are needed, and these…","protected":false},"author":5,"featured_media":15101,"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":[875,60,1707,1693,543,1692,1706],"class_list":["post-6011","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-constant","tag-engineering","tag-freezing-time","tag-heat-diffusivity","tag-materials-and-metallurgical","tag-solidification-of-metals","tag-thickness-of-solidified-metals","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Freezing Time | Solidification of Metals<\/title>\n<meta name=\"description\" content=\"Here are the steps and the formula on How to Calculate the Freezing Time in Solidification of Metals. 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