Claim
Heat Can Be Transferred Out of the Screws
Evidence
The screws contain electric motors that are responsible for accelerating the screws and flywheels to operational speed. As the screws and flywheels are supported by magnetic bearings and as they spin within an evacuated environment, they will experience very little friction. However, as no electric motor is perfectly efficient, some heat will be generated by these motors. Since the screws are in a vacuum, they cannot dissipate heat through convection. The claim is that this heat will not build up within the screws because it can be transferred from the motors' stators to the evacuated tube wall, and from there it will dissipate through the wall and into the environment.
The motors are mounted on brackets that contain channels through which coolant circulates from the motor's stators to the tube wall to carry heat away. The brackets are welded to the inner surface of the steel tube, so there are no through-wall penetrations that could compromise the tube's ability to maintain a vacuum. Redundant coolant circulation pumps, designed to be easily swapped out by a robot in the event of a unit failure, circulate coolant through the system.
The flywheels connect to the screws via electromagnetic clutches, and when the clutches engage, the flywheels' momentum is rapidly transferred to the screws. The clutch activation time will vary with vehicle speed and the length of the adaptive nut. At the end of the acceleration section, when the launch train is moving at 11123 m/s, the clutch activation time will be as short as 9 ms. (At these speeds, it might be more appropriate to describe "the clutch" as resembling the anvil-hammer mechanism inside an impact wrench.)
The amount of energy that is converted to heat as opposed to kinetic energy is calculated in the claim entitled "Momentum Transfer through the Screws to the Adaptive Nut is Feasible".
Because the clutches activate infrequently and only briefly, heat will initially be generated and concentrated at the screw-flywheel interface. It will then spread into the bulk of the screws and flywheels via conduction, bringing the interface temperature back to the average temperature of these components. However, each launch will raise the bulk temperature by a few degrees.
This heat energy must be dissipated from the screws and flywheels into the surrounding environment between launches. The heat dissipation rate and the maximum allowable operating temperature of the screws will ultimately limit the launch rate. Because the screws and flywheels are magnetically levitated in a vacuum, the simplest solution is to allow them to radiate their heat to the environment. A solution that circulates coolant through the rotating components would transfer heat from the screws and flywheels more quickly but would be significantly more complex and challenging to maintain.
Net radiative heat transfer from a surface in a vacuum:
where:
= net radiative heat transfer rate [W]
= effective emissivity of the surface (~0.9 with coatings)
= Stefan–Boltzmann constant = 5.670374419 × 10⁻⁸ W·m⁻²·K⁻⁴
= radiating surface area [m²]
= absolute temperature of the surface [K]
= absolute temperature of the surroundings [K]
For example, if and and surface area was then the radiated energy would be
In the related claim linked above, the heat energy generated per screw segment per launch was estimated at 1.422 MJ. A screw segment's mass, if it is made out of steel, is calculated using the digital twin to be 5,980 kg, and the flywheel's mass is 1,224 kg. If we assume that the heat energy is split evenly between the flywheel and the screw, then the screws temperature will increase by
and the flywheel's temperature will rise by
The rate at which heat energy is deposited into the screws and flywheels is 1.422 MJ per launch. If, for example, launches occurred every 2,400 sec (40 minutes), then heat is deposited at a rate of . Even if the launch rate were increased to once per minute, the heat generation rate would be only 23,700 W, still well below the radiative heat loss rate (44,209 W). Therefore, radiative cooling should suffice to prevent the screws and flywheels from overheating, and there is no need to consider more elaborate coolant-based cooling strategies for these parts.
It should be noted that the screws are not spinning in a perfect vacuum, as there is still a small amount of air in the evacuated tube. The circulation of this air could remove some additional heat from the screws through convection.
Reviews
The following reviews are limited in scope to the validity of the claim made above, and do not imply that the reviewer has taken a position regarding any other claim or the overall feasibility of a concept that is supported by this claim.
- 0Reputation: 0Verdict: SupportsI have 25+years of experience working at a company that builds and delivers spacecraft. I spent over 5 years as a thermal engineer and the problem presented here is a routine thermal analysis that we would perform in designing a machine like this.
“In the proposed design, heat management appears to be a routine engineering challenge, not a fundamental obstacle.”
I reviewed the claim that heat can be transferred out of the screws, and I found the argument technically plausible and well-framed. The problem discussed is whether temperatures of the proposed rotating screw and flywheel assemblies in an evacuated tube can be kept within limits over repeated launch cycles. Since the screws operate in vacuum and on magnetic bearings, conventional convective cooling is largely unavailable. Conceptually, I related the problem to other thermally isolated mechanical systems, where radiation is the only significant form of heat transfer. The napkin math presented is appropriate for this type of problem. The estimated heat input per screw segment per launch is small compared with the thermal mass of the screw and flywheel, producing only a fractional-degree rise in the screw and roughly a degree-scale rise in the flywheel per launch. Even at an aggressive cadence, the average heat input is modest compared with the estimated radiative heat rejection available from a coated rotating surface at elevated temperature. That does not eliminate the need for detailed thermal modeling of contact patches, coatings, emissivity, bearings, clutches, and launch-rate limits, but it does suggest that heat management is not a fundamental obstacle. Overall, I agree with the claim and the evidence presented to a high degree at the conceptual and first-order engineering level.
Submitted: · Edited: