1 |
Inner surface of the kiln (r=R1) |
Constant temperature over time due to continuous heat supply from the flame |
2 |
Lateral surface close to the flame (z=0) in the section composed only by coating (R1<r<R2) |
Adiabatic surface (no heat flow perpendicular to the surface) |
3 |
Inside the coating layer (0<z<L; R1<r<R2) |
No boundary condition |
4 |
Lateral surface away from the flame (z=L) in the section composed only by coating (R1<r<R2) |
Adiabatic surface (no heat flow perpendicular to the surface) |
5 |
Lateral surface close to the flame (z=0) at the interface between the coating and refractory (r=R2) |
Adiabatic surface in the z-direction and heat received from the innermost layer is transferred by conduction to the outermost layer |
6 |
Inside the interface between the coating and refractory (0<z<L; r=R2) |
Heat received from the innermost layer by conduction in the r direction is transferred by conduction to the outermost layer |
7 |
Lateral surface away from the flame (z=L) at the interface between the coating and refractory (r=R2) |
Adiabatic surface in the z-direction and heat received from the innermost layer is transferred by conduction to the outermost layer |
8 |
Lateral surface close to the flame (z=0) in the section composed only by refractory bricks (R2<r<R3) |
Adiabatic surface (no heat flow perpendicular to the surface) |
9 |
Inside the refractory layer (0<z<L; R2<r<R3) |
No boundary condition |
10 |
Lateral surface away from the flame (z=L) in the section composed only by refractory bricks (R2<r<R3) |
Adiabatic surface (no heat flow perpendicular to the surface) |
11 |
Lateral surface close to the flame (z=0) at the interface between refractory and steel (r=R3) |
Adiabatic surface in the z-direction and heat received from the innermost layer is transferred by conduction to the outermost layer |
12 |
Inside the interface between refractory and steel (0<z<L; r=R3) |
Heat received from the innermost layer by conduction in the r direction is transferred by conduction to the outermost layer |
13 |
Lateral surface away from the flame (z=L) at the interface between refractory and steel (r=R3) |
Adiabatic surface in the z-direction and heat received from the innermost layer is transferred by conduction to the outermost layer |
14 |
Lateral surface close to the flame (z=0) in the section composed only by steel (R3<r<R4) |
Adiabatic surface (no heat flow perpendicular to the surface) |
15 |
Inside the steel layer (0<z<L; R3<r<R4) |
No boundary condition |
16 |
Lateral surface away from the flame (z=L) in the section composed only by refractory bricks (R2<r<R3) |
Adiabatic surface (no heat flow perpendicular to the surface) |
17 |
Crossing between the lateral surface close to the flame (z=0) and the outer surface (r=R4) |
Adiabatic surface in the z-direction; the heat received by conduction is dissipated by convection and radiation in the r direction |
18 |
Outer surface of the kiln (0<z<L; r=R4) |
The heat received by conduction is dissipated to the environment by convection and radiation |
19 |
Crossing between the lateral surface close to the flame (z=L) and the outer surface (r=R4) |
Adiabatic surface in the z-direction; the heat received by conduction is dissipated by convection and radiation in the r direction |