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At the moment the heat equation isn't very realistic, and gives some weird results.
This bug is to track improvements.
The model I am envisaging has three thermal components, the plasma, the tiles, and the part (where the part temp interacts with the rest of KSP)
Definition of terms
Tplasma The temperature of the plasma
Ttiles Temp tiles
Tpart Part the part temp, what KSP ends up seeing.
TAtm Atmospheric temp.
ρAtm Atmospheric density ∝ Atmospheric pressure
v Velocity of re-entering capsule
A Frontal area of capsule.
t Time.
To make it easy, I'll only deal with fluxes (heat change per unit area), Since heatshield mass and area are equivalent
Tplasma
This is going to be some function of TAtm, vcapsule, ρAtm.
Will need to do some lit searching to figure it out. I guess A is likely to be another dependent variable.
Thermal coupling between plasma and tiles
This will be made up of convective and radiative transfer. At lower temps, the convective transfer dominates and is ∝ the difference between the plasma and tile temps (ΔT). At higher temps radiative transfer begins to dominate. Radiative intensity is ∝ ΔT4.
There's no real heat loss to the plasma since it's constantly renewed. So final equation is:
dTtiles/dt = A ΔT + B ΔT4
Ablation
Ablation can be modelled as a function of Ttiles. Ablation will 'take away' some of the heat from the thermal coupling with the plasma, but that can just be pushed back to
tbc
The text was updated successfully, but these errors were encountered:
At the moment the heat equation isn't very realistic, and gives some weird results.
This bug is to track improvements.
The model I am envisaging has three thermal components, the plasma, the tiles, and the part (where the part temp interacts with the rest of KSP)
Definition of terms
Tplasma The temperature of the plasma
Ttiles Temp tiles
Tpart Part the part temp, what KSP ends up seeing.
TAtm Atmospheric temp.
ρAtm Atmospheric density ∝ Atmospheric pressure
v Velocity of re-entering capsule
A Frontal area of capsule.
t Time.
To make it easy, I'll only deal with fluxes (heat change per unit area), Since heatshield mass and area are equivalent
Tplasma
This is going to be some function of TAtm, vcapsule, ρAtm.
Will need to do some lit searching to figure it out. I guess A is likely to be another dependent variable.
Thermal coupling between plasma and tiles
This will be made up of convective and radiative transfer. At lower temps, the convective transfer dominates and is ∝ the difference between the plasma and tile temps (ΔT). At higher temps radiative transfer begins to dominate. Radiative intensity is ∝ ΔT4.
There's no real heat loss to the plasma since it's constantly renewed. So final equation is:
dTtiles/dt = A ΔT + B ΔT4
Ablation
Ablation can be modelled as a function of Ttiles. Ablation will 'take away' some of the heat from the thermal coupling with the plasma, but that can just be pushed back to
tbc
The text was updated successfully, but these errors were encountered: