Nuclear power is the only base load (continuous) non CO2 producer.
Nuclear power is likely to play a substantial part in future power requirements as fossil fuels are phased out. Eventually it is itself likely to be phased out if fusion power becomes possible or if green systems, solar wind etc and the means of power distribution via electricity and hydrogen are developed..
Nuclear power stations.
A nuclear reactor with (or without) a heat exchanger generates steam which then drives a turboalternator to generate electricity:-

A coal fired power station has a large quantity fuel input and handling equipment. In contrast the amount of uranium fuel input is small. However a nuclear reactor is more complex than a fossil fired boiler and capital intensive.
Nuclear fission.
Uranium atoms split to produce heat in a thermal reactor with a moderator.
In the fission process atoms of uranium, U235, U233 or plutonium Pu239 are split and the process releases heat (due to lost mass.) 50 years ago the UK built gas (CO2) cooled 'thermal reactors.' In a 'thermal reactor' a 'moderator' is used to slow down the neutrons so as to increase the fission level. These gas cooled reactors had a graphite moderator core. Unenriched uranium was used as fuel (U235 being the fissionable content in the ore.) These were followed by the Advanced Gas cooled Reactor using enriched uranium as fuel. There are 23 of these two types remaining (ref 6).
Control rods which absorb neutrons are used to adjust and control the level of reaction and therefore the level of power output.
Neutrons are released naturally from the uranium isotope U235. When the density of a mass of uranium is made to increase it reaches a 'critical' mass when a 'chain reaction' builds up and more neutrons are released.
Uranium fuel rods are inserted into the core of a nuclear reactor. Boron carbide (or silver-indium-cadmium-hafnium) control rods in the reactor absorb neutrons to control the level of fission. To get the reaction going , the control rods are raised. and when a 'critical' level is reached, the neutron flux becomes self sustaining and heat is produced. Power level is controlled by raising control rods, so increasing the level of neutrons and lowering them to maintain stability at the new power level. To shut down, control rods are fully reinserted. Boron mixed with the water is also used in some reactors to assist in control.
Considerable heat continues for some time in the shut down state. Therefore a reliable auxiliary system for providing a large amount of power to remove this heat by circulating coolant in this shut down state, independent of the electricity grid or transmission system is required to maintain safety. This consists of batteries, diesels or gas turbines with a highly involved level of standby (3 or 4 times) in case of failure of parts of the system at the same time. Modern advanced designs can provide natural cooling inherently in the shut down state.
PWRs most common in world (see sketch above)
The US developed the Pressurized Water and Boiling Water cooled 'thermal' reactors (PWRs and BWRs). Water acts as moderator and coolant; the U235 content in uranium is enriched by 3.5% to 5%; and the fuel consists of Uranium oxide pellets in sealed Stainless Steel cans. There are 362 BWRs and PWRs worldwide (ref 6). Load factors on these reactors have increased from 65% early on up to 90% and working life extended from 20 years to 40 to 60 years.
CANDU and Graphite moderated BWRs.
The Heavy water (deuterium) reactor CANDU was developed in Canada, which can use unenriched uranium, as heavy water is a good moderator; there are 40 worldwide. The CANDU reactor has horizontal pressure cylinders (300 to 600) which pass through the 'Callandria' which contains heavy water, the moderator. Each cylinder contains the moderator/coolant and the fuel tube bundles. The fuel tubes are of zircalloy full of ceramic fuel pellets. Fuel bundles are 10 cm dia and 50 cm long. There are two shutdown systems, vertical control rods in the callandria and also a system for injecting gedolinium nitrate into the fluid. If U235 or Pu235 fuel is used to start, thorium 232 can be used to 'fission' to U233 and continue the reaction.
The Graphite moderated boiling water reactor was developed in Russia; there are 12.
PWRs are used in very large ships, submarines, tankers, ice breakers but with a greater amount of enrichment which extends the life of the fuel.
PWR Fuel assemblies


In contrast to the thermal fission process, for every 6 fissions of Pu239 in a fast reactor, 17 neutrons are emitted, 6 go on to maintain the chain reaction, 7 neutrons breed PU239 from U238 and four are lost. Thus more fissionable fuel can be created than is used up.