## How to Calculate and Solve for Heat Flux | Solidification of Metals

The image above represents heat flux.

To compute for heat flux, three essential parameters are needed and these parameters are Heat Emission (h), Surface Temperature (Ts) and Initial Temperature (To).

The formula for calculating heat flux:

qx = h(Ts – To)

Where:

qx = Heat Flux (T)
h = Heat Emission
Ts = Surface Temperature
To = Initial Temperature

Let’s solve an example;
Find the heat flux when the heat emission is 21, the surface temperature is 12 and the initial temperature is 10.

This implies that;

h = Heat Emission = 21
Ts = Surface Temperature = 12
To = Initial Temperature = 10

qx = h(Ts – To)
qx = 21(12 – 10)
qx = 21(2)
qx = 42

Therefore, the heat flux is 42 W.

Calculating the Heat Emission when the Heat Flux, the Surface Temperature and the Initial Temperature is Given.

h = qx / Ts – To

Where:

h = Heat Emission
qx = Heat Flux (T)
Ts = Surface Temperature
To = Initial Temperature

Let’s solve an example;
Find the heat emission when the heat flux is 40, the surface temperature is 20 and the initial temperature is 10.

This implies that;

qx = Heat Flux (T) = 40
Ts = Surface Temperature = 20
To = Initial Temperature = 10

h = qx / Ts – To
h = 40 / 20 – 10
h = 40 / 10
h = 4

Therefore, the heat emission is 4.

## How to Calculate and Solve for Temperature of Solidifying Metals | Solidification of Metals

The image above represents temperature of solidifying metals.

To compute for temperature of solidifying metals, three essential parameters are needed and these parameters are Surface Temperature (T), Melting Temperature of Metal (Tm) and Initial Temperature of Environment or Mould (To).

The formula for calculating temperature of solidifying metals:

Tsm = T – Tm / To – Tm

Where:

Tsm = Temperature of Solidifying Metals
T = Surface Temperature
Tm = Melting Temperature of Metal
To = Initial Temperature of Environment or Mould

Let’s solve an example;
Find the temperature of solidifying metals when the surface temperature is 12, the melting temperature of metal is 9 and the initial temperature of environment or mould is 10.

This implies that;

T = Surface Temperature = 12
Tm = Melting Temperature of Metal = 9
To = Initial Temperature of Environment or Mould = 10

Tsm = T – Tm / To – Tm
Tsm = 12 – 9 / 10 – 9
Tsm = 3 / 1
Tsm = 3

Therefore, the temperature of solidifying metals is 3 K.

Calculating for Surface Temperature when the Temperature of Solidifying Metals, the Melting Temperature of Metal and the Initial Temperature of Environment or Mould is Given.

T = Tsm (To – Tm) + Tm

Where;

T = Surface Temperature
Tsm = Temperature of Solidifying Metals
Tm = Melting Temperature of Metal
To = Initial Temperature of Environment or Mould

Let’s solve an example;
Find the surface temperature when the temperature of solidifying metals is 10, the melting temperature of metal is 8 and the initial temperature of environment or mould is 14.

This implies that;

Tsm = Temperature of Solidifying Metals = 10
Tm = Melting Temperature of Metal = 8
To = Initial Temperature of Environment or Mould = 14

T = Tsm (To – Tm) + Tm
T = 10 (14 – 8) + 8
T = 10 (6) + 8
T = 68

Therefore, the surface temperature is 68 K.