Pressure and flow in pipe and engine

[Chotai Nikhil]

I Think this is Good Platform to discuss My Problem
Can you Please guide me how to create mathematical model for System of Air Pipe -Engine-and Force on Piston
As in My case i want to build mathematical model for system in Which air is Flowing from pipe say 2.8 K/s and its enter in the valve to Piston Top and due that flow some force will be there on Piston and due that force Piston will moves in Cylinder so how What will relation between all this or how to create model for same

 

[Illmatic1]

Creating a mathematical model for such a system requires a thorough understanding of the physics behind it. You need to consider all the variables that affect the system, such as air pressure, temperature, velocity, etc. Once you have a good understanding of the physics behind the system, you can use differential equations to create a mathematical model.You should also consider the various forces that will act on the system, such as air drag, friction, and inertia. In order to accurately model the system, you'll need to take into account any external forces as well. This could include the force of gravity or any other forces that may be acting on the system.Once you have a basic understanding of the physics behind the system, and you have taken into account all the relevant external forces, you can start to build your mathematical model. You can use calculus to build a differential equation that describes the system, and then use numerical methods to solve it.You may also need to consider noise in your model. Noise is any random variation in the system, and can be caused by things like air turbulence, temperature fluctuations, etc. You can use statistical methods to incorporate noise into your model.Finally, you should validate your mathematical model against experimental data. This means testing your model against real-world results to make sure it accurately models the system.