A cylinder with a height-to-diameter ratio of unity solidifies in 10 minutes in a sand casting operation. What is the solidification time if the cylinder height is doubled? What is the time if the diameter is doubled? Use n=1.5.

a) 13 mins

b) 18 mins

Explanation:

solidification time = 10 minutes

height-to-diameter ratio = 1

applying the expression for calculating solidification time

t = B    --------- ( 1 )

n = 1.5

B = ?

t = 10 minutes

V =

A =

back to equation 1

making B subject of the formula ; B =

a) Determine the solidification time if the cylinder height is doubled

t = B  

substitute :  B =  , H = 2D  , V = , A = , n = 1.5

therefore ; t ( solidification time when height is doubled ) ≈ 13 mins

b) Determine the time if the diameter is doubled

t = B  

substitute ; B = , D = 2H , n = 1.5 , V = , A =

therefore ; t ( solidification time when diameter is doubled ) ≈ 18 mins

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