What kind of link do you want to make? Pressure can generate mechanical stress in pipes or the interaction between fluid and solids. Please review the next videos:

https://www.youtube.com/watch?v=WGjLvSYorNs

https://www.youtube.com/watch?v=e_mXYbZRHII

https://www.youtube.com/watch?v=7-GmnEXcJ1M

Regards

As pressure build up within the fluid due to more pumping, or chemical or physical process, the fluid force will remain, = F = pressure * area,

Thank you, but what i realy mean, is how a model of stress change give me the fluid flow ?

I hope not to misunderstand your question,

the momentum equation and the subsequent equations like Bernoulli, Naiver Stokes and model the fluid slows and direct and shear stresses.