Adisk-shaped part is to be cast out of aluminum. the diameter 500 mm and thickness = 20 mm. if the mold constant = 3.0 s/mm2 in chvorinov's rule, how long will it take the casting to solidify, in minutes?

t =253.8s

Explanation:

Chvorinov's Rule can be written as:

where t is the solidification time,

V is the volume of the casting,

A is the surface area of the casting that contacts the mold,

n is a constant

B is the mold constant

The S.I. units of the mold constant B are s/m2.

According to Askeland, the constant n is usually 2.

mm3

mm2

mm

=253.8s

Chvorinov's Rule with Askeland Method: t = 4.286694102 minutes

Chvorinov's Rule with Degarmo Method:

Minimum time required at constant n = 1.5 : t = 1.408751434 minutesMaximum time required at constant n = 2.0 : t = 4.286694102 minutes

Explanation:

Data:

Aluminum disc

Diameter (D) = 500 mm

Thickness = Height (h) = 20 mm

Mold Constant (C) = 3.0 sec /

Required:

Solidification time (t) in minutes = ?

Formula:

The solidification time can be found by using the Chvorinov's Rule:

Where;

t = solidification time

C = mold constant

V = Volume of disc

A = Surface area of disc

n = constant

Note: According to Askeland n = 2.0 and According to Degarmo n varies 1.5 to 2.0 therefore , we will do for both method and by Degarmo method we can predict maximum and minimum solidification time.

Solution:

First, we will find the volume of the disc

disc = cylinder

therefore, Volume of cylinder is given by:

Where:

V = Volume of Cylinder

H = Height of disc

D = Diameter of disc

Now, putting dimensional values in above equation

V = 3926990.817

Second, we will find the surface area of the disc

Therefore, surface area of cylinder is given by:

Where:

A = Surface area of disc

D = Diameter of disc

H = Height of disc

Now, putting dimensional values in above equation

A = 424115.0082

Finally, Moving towards the final solution

Chvorinov's Rule with Askeland Method n = 2:

Rewriting the equation:

Putting the dimensional and constants values in the equation

t = 257.2016461 seconds

Converting to minutes

t = 4.286694102 minutes

Chvorinov's Rule with Degarmo Method n = 1.5 (Minimum Solidification Time)

Rewriting the equation:

Putting the dimensional and constants values in the equation

t = 84.52508604 seconds

Converting to minutes

t = 1.408751434 minutes

Chvorinov's Rule with Degarmo Method n = 2.0 (Maximum Solidification Time)

Rewriting the equation:

Putting the dimensional and constants values in the equation

t = 257.2016461 seconds

Converting to minutes

t = 4.286694102 minutes

The standard refers to a specific eye protection OSHA standard, 1910.133, which contains charts listing the minimal shade numbers needed for protecting welders' vision during various types of welding, and also says welders' lenses must comply with the ANSI/ISEA Z87.

Explanation:

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