## 3D Heat Transfer Problem

**Fixed-Price**-

**Est. Budget: $ 20**Posted

I need a simple 3D heat transfer solution for cooling of a 1 cubic km block ...
T = 993 Kelvin,
Specific heat capacity = 1.48 kJ kg^-1 K^-1
Thermal conductivity = 2.6 W m^-1 K^-1)
Density = 2830 kg/m^3
... to 643.15 Kelvin inside another solid with a temperature of 643.15 Kelvin (assume they have the same thermal conductivity and specific heat capacity)
The answer should be in years.
You will deliver:
A thoroughly documented solution that starts from ...
∂/∂x(k ∂T/∂x) + ∂/∂y(k ∂T/∂y) + ∂/∂z(k ∂T/∂z) = ρCp(dT/dt)
... where each step is shown, as if you were teaching a small child.

Skills:
Mathematics
Teaching Mathematics