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A common situation in metallurgical practice is solidification from a melt in a cylindrical mold. If the Jakob number, Ja, is small, we can assume quasi-steady conduction in the cylindrical shell of solidified melt, as well as in the mold wall. Show that the time required to solidify the complete melt is given by [+] Here the Biot number is a pseudo value that accounts for both the outside resistance and the mold wall, Bi = Uor2 k Solidified melt Mold wall Melt 1 In(r3/r2) 1 + 2лr₂LUo 2лkwL 2лrзLho TA 13 where k and kw are the conductivities of the solidified melt and mold wall, respectively. Te

A common situation in metallurgical practice is solidification from a melt in a cylindrical mold. If the Jakob number, Ja, is small, we can assume quasi-steady conduction in the cylindrical shell of solidified melt, as well as in the mold wall. Show that the time required to solidify the complete melt is given by [+] Here the Biot number is a pseudo value that accounts for both the outside resistance and the mold wall, Bi = Uor2 k Solidified melt Mold wall Melt 1 In(r3/r2) 1 + 2лr₂LUo 2лkwL 2лrзLho TA 13 where k and kw are the conductivities of the solidified melt and mold wall, respectively. Te

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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1) Solve the problem 2) derive the corresponding equation for a slab plate with a thickness of 2L. 

A common situation in metallurgical practice is solidification from a melt in a cylindrical mold. If the Jakob number, Ja, is small, we can assume quasi-steady conduction in the cylindrical shell of solidified melt, as well as in the mold wall. Show that the time required to solidify the complete melt is given by
Transcribed Image Text:A common situation in metallurgical practice is solidification from a melt in a cylindrical mold. If the Jakob number, Ja, is small, we can assume quasi-steady conduction in the cylindrical shell of solidified melt, as well as in the mold wall. Show that the time required to solidify the complete melt is given by
[+] Here the Biot number is a pseudo value that accounts for both the outside resistance and the mold wall, Bi = Uor2 k Solidified melt Mold wall Melt 1 In(r3/r2) 1 + 2лr₂LUo 2лkwL 2лrзLho TA 13 where k and kw are the conductivities of the solidified melt and mold wall, respectively. Te
Transcribed Image Text:[+] Here the Biot number is a pseudo value that accounts for both the outside resistance and the mold wall, Bi = Uor2 k Solidified melt Mold wall Melt 1 In(r3/r2) 1 + 2лr₂LUo 2лkwL 2лrзLho TA 13 where k and kw are the conductivities of the solidified melt and mold wall, respectively. Te
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