The vehicle is a long, slender vessel that resembles a scaled up version of one of these. At the very front there is a small inlet that allows seawater in. The seawater passes through specially designed channels that go right through a nuclear reactor core like thisone. Somehow the jets of water are designed to prevent the salt from building up.
The water flashes to steam. Most of the steam is sent out the back through rocket nozzles but some is vented through a set of nozzles at the front of the vehicle to create a gas cavity for the vehicle to ride in.
So you’ve got a nuclear ramjet that runs on seawater.
Time for a little flight. The craft comes out of the water at a 45 degree angle at several hundred knots. Dampers close off the seawater intake and you inject stored water into the reactor. The superheated steam gives you rocket thrust. This nuclear thermal rocket accelerates the craft to several times the speed of sound while the seawater intake is reconfigured into a scramjet air intake.
Once the craft is traveling quickly enough, dampers are opened and compressed supersonic air is used as coolant/reaction mass instead of water. The reactor probably has to be physically reconfigured in order to do this.
The scramjet is then flown through clouds, with some of the air bypassed onto an onboard plant that condenses the water from the air and uses it to refill the onboard tanks. Once the tanks are full, the craft is sent to the upper atmosphere and accelerated to the physical limits of the propulsion system. Theoretically, half of orbital velocity is achievable. To reach low earth orbit from a scramjet traveling at about half orbital velocity (3500 m/s) you probably need at least 4 km/sec of delta V. (roughly 3500 m/s is the minimum, and there’s some losses to air resistance at that altitude)
A nuclear thermal rocket using water might have an ISP of 800. 1000 might be possible but distilled water is probably less efficient as a fuel.
Anyways, 40% of the mass of the rocket would need to be fuel assuming an ISP of 800. It would perform a burn to escape the atmosphere and then a circularization burn to achieve orbit.
After unloading payload, the wonder materials this beast is made of can of course withstand reentry, so it would perform a burn to deorbit and then use friction to slow down to scramjet speeds. Upon resuming scramjet flight, it would again fly through clouds to refill the onboard water tanks. It would then use friction to slow down to terminal velocity above a section of ocean and then perform a suicide burn to slow down to 0 m/s before splashing into the ocean. Somehow, the red hot rocket nozzle would withstand the thermal shock of splashing into the sea.
A submarine again, it would proceed to the underwater base it’s based out of and be repaired and restocked for the next flight.
Ok, ok, so this idea’s straight science fiction. Still, if you had access to engineering talent that was superhuman, atomic level fabrication technology, and no limits on resources, could an insane vehicle like this actually work?