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e area equal to determine whether such a design would avoid shrinkage cavities.

e area equal to determine whether such a design would avoid shrinkage cavities.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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(c) A square casting has a volume and surface area equal to 1000 mm³ and 600 mm² respectively, and a cylindrical riser through which the molten metal is poured has a volume and surface area equal to 282 mm³ and 244 mm² respectively. Using Chvorinov's rule, determine whether such a design would avoid shrinkage cavities.
Transcribed Image Text:(c) A square casting has a volume and surface area equal to 1000 mm³ and 600 mm² respectively, and a cylindrical riser through which the molten metal is poured has a volume and surface area equal to 282 mm³ and 244 mm² respectively. Using Chvorinov's rule, determine whether such a design would avoid shrinkage cavities.
Expert Solution
Step 1

Casting is a process of pouring molten metal in cavity of desired shape and allowing to solidify it.

Chvorinov's rule is used to determine the time required to solidify a casting.

t=KVA2

Where,

t= time required to solidify a casting

V= volume of casting

A= Area of casting

k= mold constant

to avoid shrinkage cavity, riser should solidify after casting has been solidified. i.e. tcasting>triser

It is given that 

volume of casting Vcasting= 1000 mm3

Surface area of casting Acasting= 600 mm2

volume of riser Vriser= 282 mm3

surface area of casting Ariser= 244 mm2

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