The image above represents freezing time.

To compute for freezing time, three essential parameters are needed and these parameters are **Thickness of Solidified Metal (M), Constant (β)** and **Heat Diffusivity (α).**

The formula for calculating freezing time:

t = ^{M²} / _{4β²α}

Where:

t = Freezing Time

M = Thickness of Solidified Metal

β = Constant

α = Heat Diffusivity

Let’s solve an example;

Find the freezing time when the thickness of solidified metal is 8, the constant is 10 and the heat diffusivity is 2.

This implies that;

M = Thickness of Solidified Metal = 8

β = Constant = 10

α = Heat Diffusivity = 2

t = ^{M²} / _{4β²α}

t = ^{8²} / _{4(10)²(2)}

t = ^{64} / _{4(100)(2)}

t = ^{64} / _{800}

t = 0.08

Therefore, the **freezing time **is **0.08 s.**

**Calculating the Thickness of Solidified Metal when the Freezing Time, the Constant and the Heat Diffusivity is Given.**

M = t x 4β²α

Where:

M = Thickness of Solidified Metal

t = Freezing Time

β = Constant

α = Heat Diffusivity

Let’s solve an example;

Find the thickness of solidified metal when the freezing time is 21, the constant is 9 and the heat diffusivity is 2.

This implies that;

t = Freezing Time = 21

β = Constant = 9

α = Heat Diffusivity = 2

M = t x 4β²α

M = 21 x 4(9²)(2)

M = 21 x 4(81)(2)

M = 21 x 4(162)

M = 21 x 648

M = 13668

Therefore, the **thickness of solidified metal **is **13668.**

Continue reading How to Calculate and Solve for Freezing Time | Solidification of Metals