Chapter 400: Problems that can be solved with mathematics are not troubles

With Zhao Guanggui leaving, Xu Chuan refocused his attention on his previous research on magnetic plane tearing, distortion molds, plasma magnetic islands, and other problems.

Looking at the computer, the model that was previously running in the supercomputing center is still being processed, except for some of the data.

Even with the help of supercomputing, it is not so easy to simulate the magnetic surface tearing effect generated during the high-temperature and high-density deuterium-tritium plasma rheological fusion process.

After all, the amount of data is just too much.

After checking the operation of the model a little and confirming that there was no problem, Xu Chuan picked up the data brought by Zhao Guanggui on the table and read it again.

He was interested in the new material, which had not yet been named.

After all, the value of a composite material that can withstand 3,500 degrees of high temperature is quite amazing.

Even if it doesn't necessarily apply to the first wall material for controlled nuclear fusion, it is still valuable enough.

In addition to ordinary high-temperature refractory materials such as abrasives, casting molds, nozzles, heat-resistant bricks, etc., heat-resistant materials can also be used as structural elements of top technology such as fighter jets and rockets.

For example, in the space shuttle of the United States, the outermost material is a layer of high-temperature resistant thermal insulation ceramic material.

Of course, this material in front of you will certainly not reach this level.

Because it has an important drawback, in the case that most of the materials are carbon nanomaterials, its high-temperature resistance properties can only withstand high temperatures in a vacuum environment, and the use conditions are quite harsh.

This is not a problem for controlled nuclear fusion, after all, the reactor chamber is in a vacuum itself after operation.

But for astronautics, the problem is huge.

After all, most of the areas where fighter jets, rockets, and space shuttles need to use high-temperature resistant materials are exposed to air.

For example, the outer insulation materials of aircraft engines, rockets and space shuttles.

Of course, if the new material is coated with a coating that resists high temperatures and insulates the air, it should be able to be applied to the engine.

It's just that the life of the coating is generally a big problem, especially in places where the working environment is extremely harsh, such as fighter engines.

If the characteristics of this new material can be optimized, and the carbon material inside can be optimized, so that it can withstand high temperatures of more than 3,000 degrees in a conventional environment, then the value of this new material will be great.

However, this is not an easy task, at least for a short time, he can't find any good inspiration and ideas from the data in front of him.

Of course, this is just a matter of beating rabbits, incidentally.

Compared with optimizing the high temperature resistance of this new material in the air, Xu Chuan wants to see if he can calculate whether this new material can resist neutron irradiation through mathematics.

It is not impossible to verify the irradiation damage of a material when it is irradiated to neutrons through mathematical tools and models.

After all, it is too difficult to do neutron irradiation experiments with real guns.

Not to mention other countries, there are only a handful of places in China that have the ability and qualification to do complete neutron irradiation experiments.

One is the Daya Bay Nuclear Fission Power Station, and the other is the Spallation Neutron Source Base in Dongguang.

The former uses neutrons emitted by nuclear fission itself to carry out irradiation experiments, while the latter uses a strong current proton accelerator to accelerate protons to impact tungsten, beryllium and other metals to make neutrons, and then conducts neutron irradiation tests.

But either way, there is a considerable gap in energy level from the neutrons produced by real deuterium-tritium fusion.

Each deuterium-tritium nucleus fusion produces a neutron of 14.1 MeV, although 14.1 Mev is not a high energy level in the Large Strong Particle Collider.

But to create such a high-energy level of neutrons, anyway, there are almost no other ways other than hydrogen bomb explosion and deuterium-tritium fusion.

This is one of the reasons why the first wall material is difficult to develop.

There was no way to do neutron irradiation experiments, but it was impossible not to develop the first wall material, so physicists, materials scientists, and programmers worked together to come up with a 'nuclear data processing program', which included the measurement of the 'neutron irradiation effect'.

In fact, the principle is very simple, using the neutron irradiation damage mechanism, to make a mediocre or big data prediction of the collision between the neutron beam and the target material.

Because different neutrons carry different energy, for example, high-energy neutrons in the process of deuterium-tritium fusion will carry 14.1 Mev of energy, how much damage will be formed to the target, these can be speculated.

After all, in the process of interaction between the energy-carrying neutron and the target atom, the neutron must first interact with a lattice atom (i.e., collide), and then the energy-carrying neutron can transfer energy to the lattice atom to produce a KPA collision atom.

And whether this KPA collides with an atom, whether it will continue to leave the nucleus, collide with the next atom, and how much energy will be lost in the transfer are all original records that can continue to be speculated.

It's just that this simulation method itself is only imaged, and the simulated data is more or less 'a little' less reliable.

Referring to his previous mathematical model of plasma turbulence, the first experiment barely managed to control it for 45 minutes.

Later, after obtaining accurate experimental data, the running time was pushed to more than two hours after targeted adjustment and optimization.

This shows how unreliable the image-only model is.

But when it comes to neutron irradiation experiments, there is no other way.

Although the results obtained by the simulation are not necessarily reliable. But at the very least, it's better to use the image-only model to exclude some of the material and then do specific experiments than to do it directly.

After all, the anti-neutron irradiation performance detection experiment is too precious and difficult to do, especially the high-energy neutron irradiation experiment, which is even more difficult.

After integrating the material data in his hand, Xu Chuan entered it into the computer.

Although the materials are newly developed, carbon, silicon carbide, and hafnium oxide are all routine substances in neutron irradiation experiments.

The only instability lies in the unique sequencing of carbon nanotubes and hafnium crystal structure, which has no relevant empirical data in the past, and Xu Chuan can only make a guess based on the conventional irradiation test data on the data.

After thinking for a moment, Xu Chuan pulled out a stack of A4 papers from the drawer.

The black pen in his hand stayed on avoidance, and after thinking for a while, he did it.

"Without considering the crystal effect and the interatomic potential, the calculation is based on classical mechanics. Suppose: incident neutron mass M1, energy Eo; Mass of the target atom at rest M2"

"Then the formula for calculating DPA can be expressed as DPA=(∫σpx(E)(E)(ΦE)t(6), and obx(E) is the off-site cross-section of the incident particle with energy E, and t is the irradiation time."

"Export: σpx(E)= 2∑i∫Tmax, Td·vd(T).dσd(T,E)/dT· DT”

“Vd(T)=(0.8/2Td)· Tdam”

Lines of formulas were written in Xu Chuan's hands, and if the Lindhard-Robinson model was used to calculate the DPA under neutron irradiation conditions, it would be enough for him to get a model and input data into it.

However, the unique sequencing of carbon nanotubes and hafnium crystals requires him to reconsider some variables about the material, especially the rate of hafnium for neutron absorption, which needs to be calculated.

Instead of modifying the Lindhard-Robinson model and making a new one, he could just go straight to the calculations.

Anyway, it's not that hard.

At least, yes for him.

For him, any trouble that can be solved with mathematics is not a problem.

I don't know how long it has been, but when Xu Chuan put down the black signature pen in his hand, there were rows of functions on a piece of manuscript paper specially used to list the calculation result data.

【PWR· DPA,dpa/s=2.718E-08】

【HTTR· DPA,dpa/s=2.602E-09】

【HTTR· He】

Picking up the manuscript paper on the table and looking at the results on it, Xu Chuan breathed a long sigh of relief and couldn't help but shake his head.

From the simulation results, it is clear that the performance of this new material is not excellent in the face of numerical calculations of simulated neutron irradiation.

Even, it is not as good as austenitic steel.

As for the key, it should lie in the additive hafnium oxide.

After all, for a neutron-resistant material, not all the energy transferred by the incident particles to the hit atom causes radiation damage to the material.

The energy of the neutron is transferred to the inside of the atom, causing ionization and electron excitation effects, but it does not last in the material, only part of the energy is transferred to the nucleus, producing secondary dislocation and forming point defects, this part of the energy is called irradiation damage energy.

To put it simply, neutrons collide with atoms of the material, and if the energy transferred to the atom at the lattice exceeds a certain minimum threshold energy, the atom will leave its normal position in the lattice, leaving a vacancy in the lattice, and the atom that is knocked out will continue to form multiple collisions in the material.

It's like playing billiards, when you can hit the cue ball with infinite power, the cue ball will transmit the force to the other balls.

And as long as these sub-balls run on the table long enough, there will always be a time when they will fall into the pocket.

Of course, this is only theoretically feasible, in fact, billiards will stop for various reasons, or because of the angle problem, it will not fall into the pocket.

The same goes for neutrons, Xu Chuan wants these neutrons, and falling into the bag is equivalent to the neutrons smoothly passing through this first wall material, and those with the wrong angle will cause radiation damage

The absorption rate of hafnium for neutrons is extremely high, and in this process, the initial value will increase significantly, which will lead to the amplification of the damage caused by the neutron irradiation effect.

This is a fatal flaw for the first wall material.

Although the data calculated by the Lindhard-Robinson formula is visual, it also provides a rough indication of the material's resistance to neutron irradiation.

However, although the results of the calculation were bad, Xu Chuan was not discouraged.

Instead, there was a hint of excitement in his eyes.

Because this calculation confirmed his previous speculation.

Hafnium oxide as an additive in materials doesn't work, but what about zirconia?

Zirconium is not much different from hafnium in terms of chemical properties, but it can be said that there are two extremes in the absorption rate of neutrons.

Hafnium is extremely dependent on neutrons and has an absorption rate more than 500 times that of zirconium.

If zirconia can replace hafnium oxide as an additive and reconstruct this new carbon composite material, maybe the first wall material will really be in place.

Looking at the data on the manuscript paper, Xu Chuan's eyes danced with a hint of excitement and excitement.

Now, just wait for Zhao Guanggui and them to use zirconia instead of hafnium oxide to resynthesize the material, and hope everything goes well.

PS: There's one more chapter later