Silavite

Desmos can do piecewise functions with the following format: f(x) = {condition : output, condition : output, condition : output, etc...} From the description, I believe that this is what you're looking for: https://www.desmos.com/calculator/n0rx0hi3nj

This is getting a little beyond the scope of the topic, but since we're on a materials science tangent, I may as well add one more detail. The statement that 301 (or, more generally, 300 series austenitic stainless steels) are nonmagnetic is only true for the material that is in the as-cast or annealed form. Cold working can cause austenite to transition to martensite, which is magnetic.

Is it just me, or does the vertical stabilizer on Boom's redesign look really undersized? I'm wondering how lateral stability (particularly CN,β) is achieved...

https://en.wikipedia.org/wiki/Hot_chocolate_effect

AIAA has a huge job board: https://careercenter.aiaa.org/ AIAA also has networking events and local chapters. Aerospace (though more on the "space" side) job board: https://rocketcrew.space/ For a fun twist, here's the scoreboard for the LA Aerospace Games this year. (With a list of companies/organizations attending.) https://www.facebook.com/photo?fbid=10222010097137180&set=gm.10160034282721100 I'm in the same boat (T-1 year to graduation) so I can relate to your search.

Using a company wide email to distribute something like this without approval definitely sounds like a bad idea. I don't know if that alone is justification to fire these employees, but they definitely screwed up. I think that the main tension here is the fact that there is not a bright line between Elon's personal statements and SpaceX's official statements. Elon's Tweets are often official statements on SpaceX's doings. Sometimes this is really cool (such as when we get to see glimpses of technical details or decisions through his Tweets), but other times this doesn't work out so well. If any other employee said some of the things Elon regularly posts on his Twitter through an official channel, then they would be fired on the spot. In my opinion, reserving the SpaceX Twitter for official statements while letting Elon do whatever he wants (but making it explicitly clear that none of the Tweets from his account are official company statements) would be the best solution. Let Elon be Elon (even if plenty of folks may disagree with him), but let SpaceX be SpaceX. That's my $0.02, at any rate.

That said, the, "send a few," part of this has been done before. Viking 1/2, Pioneer 10/11, Voyager 1/2, Spirit/Opportunity were all probes which were launched in pairs. Going beyond 2 would increase margins, however.

Most of the issues during summer in Florida are due to lightning criteria violations. NASA-STD-4010 has more details on the specific criteria for those who are curious. Anyway, the lightning during that period is mostly caused by sea breeze thunderstorms, which means that lightning almost always occurs during the afternoon and evening hours, so it's something that can be accommodated for. (Though it could make delays on day-of-launch more dicey... I assume a daylight launch is desired, so the earliest window would be about 7 AM. Delay for 4 hours or more and the chances of nasty weather rolling in shoot up.)

If you had to pick one equation as fundamental for a given field, which would you pick and why? For example, I think that it would be reasonable to say that F = ma is the fundamental equation for dynamics and ΣF = 0 is the fundamental equation for statics. The field can be as broad or as specific as is desired. Families of equations (such as the Navier-Stokes equations for fluid mechanics) are acceptable but discouraged.

To clarify this point about minimizing cooling, it is specifically film/dump cooling that should be minimized. Film cooling acts to prevent heat transfer to the chamber walls by injecting a layer of (usually) fuel around the chamber periphery. This creates a region of very rich, off-nominal mixture ratio fluid near the wall that does not burn and serves to protect the chamber wall from the extremely hot "core" combustion. This has a negative effect on performance because you're intentionally creating an area of maldistributed (from a combustion efficiency perspective) fuel which does not completely burn. This paper partially discusses the deleterious effects of film cooling and how designers might try to use less of it. I'm unsure about exactly what effects ablative cooling have on performance. The only things I can say with much certainty are that the engine's thrust will increase (due to the increased mass flow rate from the increase in throat diameter as the throat material ablates away), and that the engine's vacuum exhaust velocity will decrease (as a consequence of decreased expansion ratio, which is in turn a consequence of increasing throat diameter). Regenerative cooling of the combustion chamber has basically no effect on performance. The energy lost through the chamber liner into the coolant ends up going back into the chamber as somewhat-warmer-than-ambient propellant (indeed, expander cycle engines take this concept to the extreme), so very little heat actually escapes the engine system in regenerative cooling. Regenerative cooling of the supersonic flow in the nozzle extension can actually have a positive effect on performance (due to the decrease in entropy), though the effect is quite small (on the order of 10 m/s exhaust velocity) for all but the highest of expansion ratios. See here for more reading about the effects of regenerative cooling on performance.

Apologies for the slight derailment, but what is meant by the term, "PD design tools?" Google is not helpful here and I assume you're not talking about proportional-derivative controllers or physical design in the electronic context. Are they things like Roskam Class 1 / Class 2 methods?

The reason that the launch mount is high up is so a flame trench/diverter isn't necessary. A flame trench exists to prevent the exhaust from physically damaging the launch site (and by extension protect the rocket from debris kicked up by the exhaust), whereas a water deluge system exists to damp the sound of the rocket launch.

What is FWS in this context?

Sort of related, I found a paper written by this company's current chief designer (Igor N. Nikischenko, who formerly worked as the Deputy Chief Designer in the Liquid Propulsion Department at Yuzhnoye in Ukraine) a few years back. It talks about the rationale for using LOX as a regenerative coolant and also discusses some novel combustion cycles. It looks as though the RD-58MF also uses LOX as a regenerative coolant if what this paper says is true. In hindsight, the big advantages to using LOX over RP-1 for cooling are clear: LOX mass flow rate is much higher than RP-1 mass flow rate and you also get the benefit of latent heat release from LOX (whereas RP-1 must be kept cool enough to prevent formation of waxes in the cooling channels). The whole paper is fascinating and really worth a read. (Maybe semi-expander semi-gas-generator cycles will be the trendy new thing for upper stage engines, eh?)

Also... one other thought. There was a lot of talk about simplifying operations, but Neutron is planning to balloon tanks in its upper stage (which are not exactly easy to handle). Admittedly having the launch site right next to the production facility should simplify operations in regards to using such a structure (no transportation), but I'm still wondering if they have any other special procedures for working with balloon tanks.

Continuing with the engine stuff, the Scott Manley and NSF interviews with Beck reveal that the chamber pressure is 1,500 psi. Plugging in the known data: Vacuum thrust: 1075 kN * Sea level thrust: 851.4 kN * Chamber pressure: 10.34 MPa (1,500 psi) Along with some educated guesses: Contraction ratio: 1.67 (same as the H-1, which is in a similar thrust class) Combustion efficiency: 0.99 (Beck talked a bit about the injector in Tim Dodd's interview, and I'm guessing that they're using a coaxial swirl configuration from his somewhat oblique comments. That type supports excellent mixing/atomization characteristics and also has some throttling ability which would be needed for the upper stage.) Mixture ratio: 3.2 (guess which is near the ISP maxima for this chamber pressure) Relative gas generator flow rate: 0.02 of the main thrust chamber mass flow rate (guess based on averages in Sutton and SP-125) And a not-so-educated guess: Freezing area ratio: 2.5 (flow is assumed to be in chemical equilibrium until it reaches the point in the nozzle at which the area is 2.5 times the throat area; if somebody has a better guess for this, I would appreciate it!) We can arrive at the following ISP figures for sea level and vacuum: Sea level: 272.0 sec Vacuum: 344.4 sec * These ISP numbers seem to be unusually far apart for a first stage engine, but you have to consider that the ratio of vacuum thrust to sea level thrust (and thus vacuum ISP to sea level ISP, since mass flow rate is constant/choked at the throat) is really high for a first stage engine (1.26, whereas the Merlin 1D is 1.08, the RD-180 is also 1.08, and the H-1 is 1.13). This implies a high expansion ratio, but I was unprepared for how high; 37 according to RPA. According to Sutton, an expansion ratio of 37 (for γ ~ 1.2 and pressure ratio of 100 at sea level) is within the incipient flow separation region, so I'm curious as to what kind of tricks Rocket Lab may be employing in their nozzle design: Of course, trying to predict thrust/ISP levels in an incipient flow-separation regime may not be the most reliable for a (relatively) simple program like RPA, so I'd take the exact results with a grain of salt, but the general idea still stands. Edit: I forgot to include ISP loss due to the gas generator in my original post (d'oh!)

Another interesting story from the development of that same engine: From: Materials for Liquid Propulsion Systems

That said, staged combustion engines have gas-liquid (or in the case of FFSC, gas-gas) injectors, which affords higher combustion efficiency in the main combustion chamber. It's not big enough to make up the difference, but the factor is there. The relevant (approximate) relationship is this one from Sutton: Wherein, k - Heat capacity ratio R - Specific gas constant R' - Universal gas constant M - Molecular weight T1 - Chamber static temperature T0 - Chamber stagnation temperature (assumed to be approximately equal to T1) P1 - Chamber pressure P2 - Exit pressure (equal to the environment if optimally expanded) The biggest assumption here is that of a constant heat capacity ratio, but there are others (such as no friction or heat transfer to the walls, no Rayleigh losses (all of these go together in the assumption of isentropic flow), single phase homogeneous ideal gas, velocity at the exit is purely uniaxial). Plotting performance curves for RP-1/LOX (O/F = 2.7) and CH4/LOX (O/F = 3.2) via RPA gives the following, respectively:

The additional density of methane as opposed to LH2 should also help with the mass fraction. On another note, after looking at Archimedes claimed sea level(?) Isp, I decided to look at Rutherford's sea level Isp. The Wikipedia page claims 311 seconds at sea level, but that number is equivalent to the sea level Isp of the RD-180! As good as Rutherford is, I have a very hard time believing that it matches the RD-180 in that regard. Electron's user guide says that the specific impulse for the sea level Rutherford engine is 311 seconds, but it does not explicitly say that 311 seconds is the value for the sea level Rutherfords at sea level. It seems likely that the Isp numbers for the Rutherford and Archimedes are both some kind of average between sea level and vacuum.

If this upper stage really does have such an incredible mass ratio, then I'd imagine you're looking at some pretty serious accelerations on lighter, higher energy payloads near the end of the 2nd stage burn. Has there been any information released about Archimedes (assuming that they're using a vacuum version of Archimedes for the second stage) having throttling capabilities?

I honestly couldn't tell you for the gas generators themselves. Gas generators are basically small rocket engines, so I'd assume that the combustion efficiency isn't that different? That said, the highly off-stoichiometric mixture ratios may muck that assumption up somewhat... For supersonic impulse turbines, nozzle efficiency into the first rotor is on the order of 80% - 96% according to Huzel & Huang. Turbine efficiency seems to be on the order of 60% - 80% as indicated by Sutton as well as Huzel & Huang. (This can be increased if a gearbox is used, but that adds mass.)

Also, I'm guessing that the Isp of 320 seconds is an average between sea level and vacuum. If my fiddlings with RPA are correct, you'd need around a ~20 MPa chamber pressure to make that happen at sea level (accounting for a combustion efficiency of 99%, a nozzle efficiency of 98%, and sending 2% of the propellants to the gas generator) which seems a bit silly for an open cycle.

In addition to the local air pollution and CO2 emissions from coal, there's also the fact that it just isn't economically viable when compared to the rising tide of renewables (and natural gas, due to the lack of maturity in power storage solutions). It's true virtually everywhere that, for building a new power station, a renewable source will be cheaper than coal. It's true in a sizable minority of places that building new renewables is cheaper than running existing coal power stations.

Its worth noting that LOX can react explosively with titanium, but I don't think that would be an issue here. (The reaction also requires substantial impact to occur, so it's even less relevant. For example, the Titan I used titanium pressure vessels located inside the LOX tank to hold helium pressurant.)

The CH4 header tank is ensconced in the center the larger LOX/CH4 bulkhead, so it is relatively well-insulated. The LOX header tank, on the other hand, is right at the nose (where the highest head loads will likely be). I'd imagine that losing a tile covering the LOX header tank could be very dangerous indeed.