A genius? I just love studying.

Chapter 232 The essence of flow is not the chaos of turbulence

Chapter 232 The essence of flow is not the chaos of turbulence
"Alright, we won't let you suffer a loss for nothing. You sell the Wind Chaser, and we'll provide the rest."

Tom made no attempt to hide his sarcasm, and said with a sneer.

They did this not just because they thought the Gust was less of a threat, but because they wanted to disrupt the trade between China and Persia. If they could cause losses to China, they would win.

If we can also seize this opportunity to take a large share of the toy business from China, then we'll be incredibly successful.

Alexander calmed down and now understood why the other party had done this.

If they can completely secure this toy order from Persia, even if the lion's share ends up in the hands of the United States, they can still make a profit. So, even if the price of the toy is reduced, they might not suffer a huge loss.

……

At the Chengdu Aircraft Industry Group (CAC) canteen, Chen Hui, Deng Ting, and Yang Chi sat down at an empty table with their metal trays.

Don't be fooled by the fact that they use the same metal trays as the cafeteria. There are differences between cafeterias. This cafeteria is different from the school cafeterias that Chen Hui had eaten at before. Every day, there are more than ten different kinds of meat and vegetable dishes. The taste is amazing, and it is only slightly worse than what he can cook himself.

Chen Hui has gained three pounds in the month since he came to Chengdu Aircraft Industry Group.

Snapped!
Slap the egg on the table, and a few minutes later, a dented hard-boiled egg is ready.

puff!

Yang Chi and Deng Ting, sitting opposite each other, finally couldn't help but burst out laughing.

"Junior brother, the way you peeled this egg looks like a dog chewed it."

Deng Ting couldn't help but laugh and said that although Chen Hui was already a professor, they still called him "junior brother" in private.

"It doesn't affect its ability to provide me with protein."

Chen Hui casually stuffed the egg into his mouth.

"Replenishing protein?"

"Junior brother should learn to enjoy good food!"

Deng Ting strongly disapproved of Chen Hui's attitude towards food.

"Junior brother, have you seen 'A World Without Thieves'?"

Yang Chi, however, was in high spirits. He picked up the water cup next to him, gulped down the water in one go, and then turned the cup upside down on the table, putting the egg inside.

Chen Hui shook his head.

He was always studying hard when he was a child, so he didn't have time to watch movies or TV.

Yang Chi smiled slightly, then shook the water glass like he was rolling dice. After dozens of shakes, Yang Chi picked up the glass, reached out and picked up the egg with its shell completely broken. With a gentle twist, he picked up the membrane outside the egg white and peeled the whole egg off with unstoppable force.

Smooth and bouncy!
This was the most perfectly peeled egg Chen Hui had ever seen.

clap clap clap!
Chen Hui applauded enthusiastically.

Deng Ting also gave Yang Chi a thumbs up.

Yang Chi took a smug bite of the egg, looking as reserved as a noble gentleman.

But Chen Hui remembered that yesterday, after peeling the eggs, this guy clearly stuffed them directly into his mouth.

"Junior brother, do you think it's possible for us to one day be like the West, reaping the benefits of the entire world to support our own high welfare system?"

After finishing their meal and collecting their plates, the three of them slowly walked towards their respective laboratories. Deng Ting said something rather whimsical.

"?"

Chen Hui understood what she meant, but he didn't know why she would ask such a question.

"She had been working on this project for a month, and she was tired and wanted to take a break."

Yang Chi exposed Deng Ting's lies without hesitation.

"I think it's very possible!"

Deng Ting changed the subject, saying, "My junior brother just completed the semiconductor revolution, and we're already ahead of the curve. Next is fighter jet engines. I believe we'll succeed soon. When that happens, we'll extend it to civilian use, and not only will all of China's commercial aircraft be domestically produced, but they'll also sell well in Europe and America, as well as new energy vehicles, high-speed rail..."

"I feel like we're not far from that day!"

Deng Ting excitedly said, "When the time comes, with our technological advantage, we can make other countries pay for our knowledge and technology, and we can make money while lying down. Wouldn't that mean we can also get off work at four o'clock in the afternoon?"

"Three days on, four days off?"

"Twenty days of annual leave?"

As Deng Ting spoke, the corners of her mouth unconsciously curled up, and a silly smile appeared on her face.

"Wake up! You've just gotten out of bed. I don't recommend you start dreaming right now."

Yang Chi bluntly retorted, "I'm not so much looking forward to that day. If it really comes to that, we'll probably follow the old path of Europe and America. The people will all be laid down, the accumulated problems will accumulate, and then we'll be replaced by a new power, living a life even worse than we are now."

"But we can't throw the baby out with the bathwater. Are we going to stop developing just because of a potential future crisis?"

Deng Ting was unconvinced.

"I think Senior Sister is right!"

Chen Hui also spoke up, "Diligence and kindness are traditional Chinese virtues. The reason why everyone is giving up now is simply because even if they work hard, they don't get the rewards they deserve. If there were enough rewards, would everyone still choose to give up?"

"That's right!"

Deng Ting immediately perked up, "Take Hua Zi for example, he really works 996, because one year of his work is equivalent to two years of yours!"

"It's too early to talk about these things now. Let's wait until we see some preliminary results."

Yang Chi was both amused and exasperated, never expecting that even Chen Hui would start dreaming along with him.

“I’ve heard that Academician He’s lab next door has made some progress recently.” Yang Chi looked at Chen Hui. Although Chen Hui himself didn’t care, they had been paying attention to this matter and helping Chen Hui find out relevant information.

Although it was a saturation-style research and development effort, and whoever made a breakthrough would contribute to the country, they naturally hoped that Chen Hui would be the one to make the final breakthrough.

"Yes, they have already shared the information with us."

Chen Hui nodded. Academician He Guowei was indeed very capable. After obtaining his model, he quickly made corrections to improve its effectiveness, bringing the error rate down to below 10%. With a few more breakthroughs, they could even conduct real-world experiments.

What's remarkable is that Academician He Guowei actually shared this direction and results with him.

However, Chen Hui did not change his research direction. He trusted his intuition and believed that although Academician He's method could improve the accuracy of predictions on the existing basis, it could not achieve perfect mathematical precision.

He trusted his intuition!

After a brief farewell to the two, Chen Hui went to his laboratory to revise the model and collect parameters...

Time flew by, and it was already early September. There were only a few days left until the IMO, but the model had encountered a fatal problem. He was already considering whether to email the competition organizing committee to explain the situation. He was afraid he wouldn't be able to attend the awards ceremony.

"Professor Chen, the combustion chamber model exploded again." Lin Zhengze's voice came through the walkie-talkie, filled with suppressed fatigue. "In the 17th experiment, under Ma6 conditions, the temperature at the tail end of the combustion chamber exceeded 4500K, and the coating vaporized directly."

Chen Hui was hunched over the control panel, with densely packed equations jumping on the retinal projection screen—the “multi-scale turbulence-combustion coupling model” he had derived over three months, which was now being frantically iterated on the supercomputer “Nine Chapters No. 3”.

Chapter 9-3 is China's newest supercomputer, a combination of a traditional supercomputer and a quantum computer. Its efficiency in certain specific calculations far surpasses that of traditional supercomputers, and it is one of China's trump cards that it has not yet revealed.

Chen Hui's fingers paused on the table.

On the screen, the previous version of the CFD model showed a "perfect" combustion efficiency of 92%, but the experimental data was a slap in the face. The actual efficiency was only 78%, and there was a pressure drop every 0.3 seconds, which caused severe combustion oscillations. In the worst case, the flame "regressed" directly into the intake manifold, causing thermal blockage.

"Where is the problem?" Chen Hui's voice was calm, almost mechanical.

His pupils reflected the red alert flashing on the screen—the error curve between the model and the experiment, like a crumpled piece of paper, especially at the boundary between the shock wave and the combustion zone, where the error was as high as 30%.

“We’ve checked the fuel injection angle, equivalence ratio, wall coating…” Lin Zhengze’s voice was filled with frustration. “All the parameters are consistent with the model input, but the combustion chamber just ‘goes crazy’.”

Often, encountering problems is not scary. If you encounter a problem, you can always spend time working through it little by little, and eventually you will be able to solve it.

What's frightening is that they don't even know where the problem lies. Even an experienced researcher like Lin Zhengze would feel a huge sense of frustration.

Chen Hui suddenly stood up, the hem of his lab coat sweeping across the draft papers scattered on the floor. His gaze swept over the "thermo-mechanical-chemical coupling diagram of scramjet engine" on the laboratory wall, his finger pausing on the "shock wave-boundary layer interaction region"—the weakest link in his model.

“Pull up the PIV and LIF data from the last three experiments,” Chen Hui said. “I want to see how the shock wave ‘bites’ onto the combustion zone.”

The content on the large screen switched instantly, and pale blue airflow surged in the virtual combustion chamber.

Chen Hui's fingertips traced the location of the shock wave—under Ma6 conditions, the shock wave should be stably attached to the throat of the combustion chamber, forming a "shock wave anchoring effect." However, experimental data showed that the shock wave would detach from the throat every 0.2 seconds and drift downstream by 5-10 mm.

A massive amount of data flooded into Chen Hui's brain like a tidal wave, and was then categorized and organized by his powerful memory.

His brain was rapidly processing this data, trying to find the underlying principles hidden behind these numbers.

Suddenly, countless characters surged in Chen Hui's eyes, as if light were blooming within them.

“Shock wave drift will trigger boundary layer separation.” His voice suddenly became excited. “The turbulent vortices generated in the separation zone will entrain high-temperature combustion gases, forming localized ‘thermal jets.’ This is not interference; it’s the ‘fuel’ of combustion oscillations!”

Lin Zhengze pulled up the time series graph of combustion oscillation. "You see, the lowest pressure point corresponds exactly to the peak value of shock wave drift - this shows that shock wave drift triggers the 'switching effect' of fuel-air mixing. If the mixture is good, it will burn; if the mixture is not good, it will shut off, and so on."

Chen Hui's pupils contracted. He knew where his problem lay. A month ago, he proposed the "shock wave boundary layer coupled topology theory," but at that time he only considered the steady-state situation and ignored the dynamic influence of unsteady shock wave drift on combustion.

"The model is missing the unsteady transport term of the shock wave."

Chen Hui quickly grabbed a marker and drew the revised control equations on the whiteboard. "The original LES model only solved the statistical average of turbulence, but shock wave drift is transient and will 'pump' the pulsating energy of the boundary layer into the combustion zone, causing violent fluctuations in the local stoichiometry—this is the root cause of combustion oscillations!"

Turning to the supercomputer, fingers flew across the keyboard as the revised "unsteady shock transport term" was embedded into the model.

The error curve on the screen began to tremble. The original 30% error, as if pulled by an invisible hand, gradually narrowed to 10%, 5%...

"We succeeded?"

Lin Zhengze stared at the curves on the screen, his mind still a little fuzzy.

Instead of celebrating, Chen Hui pulled up the thermal congestion simulation diagram. In the original model, the temperature gradient at the tail of the combustion chamber was simplified to "linear decay," but the experiment showed that the high-temperature gas formed a "thermal plug" at the inlet of the tail nozzle, completely blocking the main flow.

"The problem lies in the spatiotemporal distribution of chemical reaction rates."

Chen Hui pointed to the OH radical concentration cloud map on the screen, "The original model assumed that combustion was 'uniform ignition,' but in reality, shock wave drift caused the flame front to be distributed in a 'finger-like' pattern. The reactant concentration in some areas was too high, releasing a large amount of heat instantly and forming local thermal congestion."

Chen Hui quickly modified the reaction kinetics module, introducing "spatial non-uniform reaction rate" into the model—meaning that the combustion rate of each grid cell is no longer a fixed value, but a dynamic function determined by local temperature, pressure, and component concentration.

The fan noise of Chapter 9-3 suddenly increased, the server cluster went into full power operation, and Chen Hui stared at the energy equation on the screen, beads of sweat appearing on his forehead...

Time passed second by second. With the powerful computing power of Chapter 9-3, an iteration could be completed every half hour. In the 6th hour, the error curve finally dropped below 2%. In the 13th hour, the period of combustion oscillation was in perfect agreement with the experimental data. In the 18th hour, the peak error of the heat flux density of thermal congestion was only 1.2%.

"We succeeded!" Lin Zhengze's voice was choked with sobs.

On the screen, the corrected model is smoothly simulating the combustion process under Ma6 conditions. The shock wave is stably anchored at the throat, the boundary layer separation zone is controlled within a safe range, and the flame front is evenly spread without oscillation or congestion!

Chen Hui did not cheer; he remained frowning.

He brought up the model's "sensitivity analysis" module and stared at a set of abnormal data—at x=800mm downstream of the combustion zone, the model predicted a heat flux density that was 8% lower than the experimental result.

“There’s a problem here.” Chen Hui quickly pulled up the grid layout for that location. “The original grid used uniform densification at x=800mm, but the actual combustion chamber structure…”

He suddenly remembered the record in the experiment log: there was a 0.5mm dent on the wall at x=800mm in order to install the temperature probe.

“Geometric defects!” Chen Hui’s voice finally carried a hint of excitement. “The model ignored tiny indentations on the wall, causing the boundary layer to separate prematurely at that point, resulting in additional thermal resistance!”

Chen Hui immediately modified the mesh, inserting a "dent feature mesh" at x=800mm, and rerun the model. This time, the heat flux density error dropped to 0.5%, and all data perfectly matched the experiment.

“This is true multi-scale coupling,” Chen Hui said softly, his gaze sweeping across the data stream jumping on the screen. “From the millimeter-level drift of shock waves to the micrometer-level separation of the boundary layer, and then to the nanometer-level reaction of free radicals in combustion—they mesh together like gears, and any error at any scale will be amplified into a system-wide catastrophe.”

"The essence of flow is not the chaos of turbulence, but a symphony of multi-scale order. The task of mathematics is to find that conductor's baton!"

(End of this chapter)

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