Chapter 61 Time Average Energy Equations, Average Kinetic Energy Equations, and Turbulent Kinetic Energy Equations
Back to the dormitory at night!
Zhuoyue looked at the dormitory and saw Bai Lin sitting on the stool with a look of discouragement. Yao Chen and Qiu Xiao were sitting at their desks, looking at him with no help.
The whole dormitory was filled with despair.
"What's wrong?" Zhuoyue asked casually as he walked towards his desk.
"Oh..." Bai Lin shook his head helplessly.
"Oh..." The other two sighed helplessly.
Zhuoyue picked up the water cup on the table and Gulugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugugus, and then sat down and said, "What's wrong with you three today? You're very upset."
"You ask Bai Lin!" Qiu Xiao said.
"Bai Lin, what's wrong?" Zhuo Yue looked at Bai Lin and asked.
"Oh..." Bai Lin sighed and said disgustedly: "Stop talking, it's sad to say too much."
"What's wrong?" Zhuoyue said strangely: "If you have anything to say, I will definitely help if you can."
"Zhaoyue, no one can help with this matter." Yao Chen held back his smile.
"What's wrong? Why can't I understand?" Zhuo Yue said in confusion.
"Didn't he stay outside with his girlfriend for one night?" Qiu Xiao said: "But he was looking for a supermarket that night."
"Looking for a supermarket?" Zhuoyue said in confusion: "What do you want to do in a supermarket?"
"He didn't prepare a trap. He didn't remember until the beginning and went out to buy it. However, most supermarkets were closed. When he got it, his girlfriend fell asleep."
Zhuoyue laughed and said, "You can get up in the morning and do it!"
"He was too tired to run last night and didn't wake up until after nine o'clock. At this time, his girlfriend had already left because of something wrong with school."
Zhuoyue said funnyly: "So you did nothing this night and just went out for a run."
"Yeah!" Bai Lin nodded ashamed and said frustratedly: "This is the first time I'm just excited, but I didn't expect to prepare that thing."
"Why……"
After saying that, he sighed again.
Zhuoyue shook his head and looked at him with sympathy and said, "It's okay, there is still a chance next time. I will accumulate physical strength this time, and I will use it together next time."
"Hey..." Bai Lin sighed, saying so, but he was still very unwilling to accept it.
Yao Chen, who was beside him, was envious of the fact that he could still sigh for the failure of the matter. He was powerful and had no place to sigh. He wanted to sigh.
The next day, Excellence entered the busyness of deriving the turbulence equation.
In the library, he held a pen in one hand and looked thoughtful.
"To find the turbulence equation, we need to find the continuity equation and the momentum equation. In the system of equations composed of these two equations, there are 4 partial differential equations and 10 independent variables. Because it is impossible to directly obtain a certain solution from it, we need to find enough equations to close the system of equations."
"So, energy equations and eddy energy equations are also required."
"And the energy equation includes the time-average energy equation, the average kinetic energy equation and the turbulent kinetic energy equation."
"I have already figured out the continuity equation and the momentum equation before, so now I need to find out the energy equation and the eddy energy equation."
"After finding them, you get the turbulence equation."
"And the time-average momentum equation can be found in combination with the average kinetic energy equation."
"The time-average energy equation and the average kinetic energy equation are still applied to the n-s equation."
"As long as the physical quantities in the original n-s equation are expressed as the sum of their average value and the pulsation value, the time-homogenization of the equation can be derived from the time-homogenic n-s equation system."
"You can write this way!"
After saying that, he entered it in the computer.
【?ρ/?t?.(ρv)=0…】
"This is also called turbulent apparent heat flow, but it is actually turbulent transport of internal energy or enthalpy. Therefore, there are also transportation equations similar to Equation (6) that link it with the average flow parameter, so this item is also easy to solve in a model manner."
"After finding the time-average energy equation, the next step is to simplify it."
“The average net loss of kinetic energy is.”
【n?a?=1/2m{[v??a?v??a?]2[v??a?v??a?]2…]
"So, the simplified time-average energy equation is."
【…-vx(?xv)=-?ht?s1/ρ?.||1/ρ?||?】
Zhuoyue let out a long breath and thought to himself: "The time-average energy equation and the average kinetic energy equation, the following is the turbulent kinetic energy equation."
The turbulent kinetic energy equation is generally used to calculate the water flow, so there must be a water temperature equation, and the time average energy equation and the average momentum equation must be added in combination.
After a series of calculations, the water temperature equation is excellently derived.
【?t/?t=-(uu*)?t…】
The water temperature equation should calculate mesoscale vortices, horizontal mixing, vertical mixing, short-wave radiation penetration and deep convection.
"The momentum equation must first calculate the horizontal viscosity and the vertical viscosity."
"The final result is the momentum equation."
【?u/?t=-u?u/?x-…】
"Finally find the vortex energy equation."
In fact, at this point, the turbulence equation is basically found. As for the vortex energy equation, it is just a combination of all the previous equations.
That is to sort out all the previous equations, no new things are added, and a turbulent equation is formed.
"I haven't published a paper for a long time, so I can write at least five SCI papers here."
A paper does not only publish papers. The more papers are published, the higher the quality, it means that your personal academic level will be, and the higher your status in the academic world.
For scientists, papers are equivalent to displaying and proof of force.
If anyone wants to show his academic level, he wants to publish some papers.
This is why many scientists always want to publish papers. If you have a paper, others will confirm your strength. Whether you need scientific research funds or from a rich man who can get some money, it is very convenient.
"You can't publish all of them, publish some of them, otherwise someone will deduce the turbulence equation based on my paper, and I will have no place to regret it at that time."
Chapter completed!