{"id":5831,"date":"2021-08-01T14:11:28","date_gmt":"2021-08-01T13:11:28","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5831"},"modified":"2024-05-10T13:19:14","modified_gmt":"2024-05-10T12:19:14","slug":"how-to-calculate-and-solve-for-knudsen-diffusion-of-moulding-sand-mass-transfer","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/08\/01\/how-to-calculate-and-solve-for-knudsen-diffusion-of-moulding-sand-mass-transfer\/","title":{"rendered":"How to Calculate and Solve for Knudsen Diffusion of Moulding Sand | Mass Transfer"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents knudsen diffusion of moulding sand. To calculate knudsen diffusion of moulding sand, three essential parameters are needed and these parameters are Pore Radius (r), Temperature (T)\u00a0<\/strong>and\u00a0Molecular Weight (M).<\/strong><\/p>\n

The formula for calculating knudsen diffusion of moulding sand:<\/strong><\/h3>\n

Dk<\/sub>\u00a0= 9700r\u221a(T<\/sup>\/M<\/sub>)<\/p>\n

Where:<\/p>\n

Dk<\/sub>\u00a0= Knudsen Diffusion of Moulding Sand
\nr = Pore Radius
\nT = Temperature
\nM = Molecular Weight<\/p>\n

Let’s solve an example;
\nFind the knudsen diffusion of moulding sand when the pore radius is 24, the temperature is 18 and the molecular weight is 12.<\/p>\n

This implies that;<\/p>\n

r = Pore Radius = 24
\nT = Temperature = 18
\nM = Molecular Weight = 12<\/p>\n

Dk<\/sub>\u00a0= 9700r\u221a(T<\/sup>\/M<\/sub>)
\nDk<\/sub>\u00a0= 9700(24)\u221a(18<\/sup>\/12<\/sub>)
\nSo, Dk<\/sub> = 9700(24)\u221a(1.5)
\nDk<\/sub> = 9700(24)(1.22)
\nDk<\/sub> = 285120.6<\/p>\n

Therefore, the\u00a0knudsen diffusion of moulding sand<\/strong> is\u00a0285120.6 cm\u00b2\/s.<\/strong><\/p>\n

Calculating the Pore Radius when the Knudsen Diffusion of Moulding Sand, the Temperature and the Molecular Weight are Given<\/strong><\/h3>\n

r = Dk<\/sub><\/sup> \/ 9700 \u221a(T<\/sup> \/ M<\/sub>)<\/sub><\/p>\n

Where:<\/p>\n

r = Pore Radius
\nDk<\/sub>\u00a0= Knudsen Diffusion of Moulding Sand
\nT = Temperature
\nM = Molecular Weight<\/p>\n

Let’s solve an example;
\nFind the pore radius when the knudsen diffusion of moulding sand is 20, the temperature is 14 and the molecular weight is 10.<\/p>\n

This implies that;<\/p>\n

Dk<\/sub> = Knudsen Diffusion of Moulding Sand = 20
\nT = Temperature = 14
\nM = Molecular Weight = 10<\/p>\n

r = Dk<\/sub><\/sup> \/ 9700 \u221a(T<\/sup> \/ M<\/sub>)<\/sub>
\nr = 20<\/sup> \/ 9700 \u221a(14<\/sup> \/ 10<\/sub>)<\/sub>
\nThen, r = 20<\/sup> \/ 9700 \u221a(1.4)<\/sub>
\nr = 20<\/sup> \/ 11446<\/sub>
\nr = 0.00174<\/p>\n

Therefore, the\u00a0pore radius\u00a0<\/strong>is\u00a00.00174.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Permeability | Mass Transfer<\/a><\/p>\n

Calculating the Temperature when the Knudsen Diffusion of Moulding Sand, the Pore Radius and the Molecular Weight are Given<\/strong><\/h3>\n

T = M x (Dk<\/sub><\/sup> \/ 9700r<\/sub>)2<\/sup><\/p>\n

Where:<\/p>\n

T = Temperature
\nDk<\/sub>\u00a0= Knudsen Diffusion of Moulding Sand
\nr = Pore Radius
\nM = Molecular Weight<\/p>\n

Let’s solve an example;
\nFind the temperature when the knudsen diffusion of moulding sand is 2700, the pore radius is 6 and the molecular weight is 14.<\/p>\n

This implies that;<\/p>\n

Dk<\/sub> = Knudsen Diffusion of Moulding Sand = 2700
\nr = Pore Radius = 6
\nM = Molecular Weight = 14<\/p>\n

T = M x (Dk<\/sub><\/sup> \/ 9700r<\/sub>)2<\/sup>
\nSo, T = 14 x (2700<\/sup> \/ 9700(6)<\/sub>)2<\/sup>
\nT = 14 x (2700<\/sup> \/ 58200<\/sub>)2<\/sup>
\nT = 14 x (0.046)2<\/sup>
\nThat is, T = 14 x 0.002116
\nT = 0.0296<\/p>\n

Therefore, the\u00a0temperature\u00a0<\/strong>is\u00a00.0296 s.<\/strong><\/p>\n

Calculating the Molecular Weight when the Knudsen Diffusion of Moulding Sand, the Temperature and the Pore Radius are Given<\/strong><\/h3>\n

M = T<\/sup> \/ (Dk<\/sub><\/sup> \/ 9700r<\/sub>)2<\/sup><\/p>\n

Where:<\/p>\n

M = Molecular Weight
\nDk<\/sub>\u00a0= Knudsen Diffusion of Moulding Sand
\nr = Pore Radius
\nT = Temperature<\/p>\n

Let’s solve an example;
\nFind the molecular weight when the knudsen diffusion of moulding sand is 3000, the pore radius is 8 and the temperature is 4.<\/p>\n

This implies that;<\/p>\n

Dk<\/sub> = Knudsen Diffusion of Moulding Sand = 3000
\nr = Pore Radius = 8
\nT = Temperature = 4<\/p>\n

M = T<\/sup> \/ (Dk<\/sub><\/sup> \/ 9700r<\/sub>)2<\/sup>
\nM = 4<\/sup> \/ (3000<\/sup> \/ 9700(8)<\/sub>)2<\/sup>
\nThen, M = 4<\/sup> \/ (3000<\/sup> \/ 77600<\/sub>)2<\/sup>
\nM = 4<\/sup> \/ 0.00148<\/sub>
\nM = 2702.7<\/p>\n

Therefore, the\u00a0molecular weight\u00a0<\/strong>is\u00a02702.7 cm.<\/strong><\/p>\n

Read more:\u00a0The Calculator For Unit Conversions (Switches)<\/a><\/p>\n

How to Calculate Knudsen Diffusion of Moulding Sand Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the knudsen diffusion of moulding sand.<\/p>\n

\n

To get the answer and workings of the knudsen diffusion of moulding sand 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\u00a0Mass Transport\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Knudsen Diffusion of Moulding Sand <\/strong>under\u00a0Mass Transport<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the knudsen diffusion of moulding sand according to the respective parameter which is the Pore Radius (r), Temperature (T)\u00a0<\/strong>and\u00a0Molecular Weight (M).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Pore Radius (r)<\/strong> is 24<\/strong>, Temperature (T)<\/strong> is 18 <\/strong>and Molecular Weight (M)<\/strong> is 12<\/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 knudsen diffusion of moulding sand and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents knudsen diffusion of moulding sand. To calculate knudsen diffusion of moulding sand, three essential…","protected":false},"author":5,"featured_media":14991,"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":[1657,60,1635,543,1656,1655,75],"class_list":["post-5831","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-diffusion-of-moulding-sand","tag-engineering","tag-mass-transfer","tag-materials-and-metallurgical","tag-molecular-weight","tag-pore-radius","tag-temperature","cs-entry"],"yoast_head":"\nHow 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