Rub your palms together, and you
will feel the heat generated between them. This frictional heat often keeps us
warm during cold winter nights. So what happens if you rub your palms faster?
You will feel more heat. Imagine that you could rub your palm at 7500 m/s! Your
palm can catch fire at this speed. Rockets which are used to put satellites in
orbit or other heavenly objects like Moon, Jupiter, etc., are typically
launched or re-entered through our atmosphere travelling at incredible speeds.
The outer surface of the rocket and the surrounding air from the atmosphere act
as two palms.
The extreme heat generated by
friction is called aerodynamic heating. The generated heat is so high that
aluminium (often used for building the space vehicle) melts and gets removed
from the main body. A thermal protection system (TPS) is needed to protect the
space vehicle, which can withstand extreme heat and yet does not allow the heat
to penetrate the interior of the vehicle.
Heat penetrates through a solid
material through conduction. If the conductivity of solid material is very high
(true for aluminium and other metals), they can quickly transfer the heat to
the other side. A good TPS should have low thermal conductivity to prevent the
heat from penetrating inside. At a high heat rate, the vehicle’s temperature
can also be very high (exceeding 1500 deg C), at which most
materials melt. A good TPS should also be made from a material having a very
high melting point.
However, in space, mass
is a premium. Every mass added to the vehicle’s design will reduce the mass of
scientific payloads such as sensors and instruments. As a trade-off, during the
re-entry, a small part (layer) of the TPS material is allowed to melt. This
serves two purposes: Firstly, melting involves latent heat (the amount of heat
absorbed by the material to change its phase from solid to liquid). As latent
heat is usually very high for most substances, part of TPS gets removed upon melting,
carrying significant heat away from the vehicle. This ensures that less heat
remains for conduction. The removed TPS material now allows a fresh layer of
TPS to absorb the heat, and the process continues till the entire TPS material
is removed by this process. The other purpose is that since melted TPS material
gets detached from the remaining solid part, the melt layer gets removed from
the vehicle, thereby reducing its overall weight.
To summarize, more TPS
material results in an increased non-scientific payload of the vehicle. While
lesser TPS material could result in the entire TPS getting melted off, exposing
the base material (an alloy of aluminium) to the harsh environment. So the
thickness of TPS should be designed considering the above constraints.
In a recent paper co-authored with Prof. Katte [1], we presented a one-dimensional
transient heat conduction model involving phase change at the boundary to
simulate the performance of TPS as a function of time. The model considers the
outer surface of TPS exposed to extreme heat, while the other surface shielding
the base material is insulated. The simulations are done until the TPS base
reaches a predefined temperature in non-dimensional form.
Reference:
S. R. Kannan and S. S. Katte, (2018), Numerical Investigation and Correlations for Heat Diffusion through Planar Ablative Thermal Protection Systems, Thermal Science & Engineering Progress, 7, 279-287.
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