GATE MT 2016 Q.53 For casting a cylindrical aluminum bloom having a length of 1000 mm and diameter of 750 mm, the approximate solidification time (in minutes) estimated using Chvorinov’s rule is ______. [The mould constant is 2 s/mm2]
GATE MT 2016 Q.53 For casting a cylindrical aluminum bloom having a length of 1000 mm and diameter of 750 mm, the approximate solidification time (in minutes) estimated using Chvorinov’s rule is ______. [The mould constant is 2 s/mm2]
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Correct answer is option D. Chvorinov’s rule = k(V/A)2 Given that, mould constant = 2 s/mm2 Length = 1000 mm diameter = 750mm; R= 375mm For cylinder, V= πr2 h and A=( 2πrh+2πr2) t= k( πr2 h/( 2πrh+2πr2))2 t= k( rh/ 2(h+r))2 t=2((375×1000)×2(1000+375))2 On simplification, t=620 min
Correct answer is option D.
Chvorinov’s rule = k(V/A)2
Given that, mould constant = 2 s/mm2
Length = 1000 mm
diameter = 750mm; R= 375mm
For cylinder, V= πr2 h and A=( 2πrh+2πr2)
t= k( πr2 h/( 2πrh+2πr2))2
t= k( rh/ 2(h+r))2
t=2((375×1000)×2(1000+375))2
On simplification, t=620 min
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