The problem involves the conservation of momentum in a fluid dynamics context, specifically analyzing the forces acting on a vane in a 2D flow of an incompressible fluid. The scenario is set between two stations where velocity and pressure are defined, and the angles of flow at each station are given.
The discussion is ongoing with participants providing feedback on each other's reasoning. Some have offered clarifications regarding the equations and the physical interpretation of forces, while others are questioning the assumptions made about the dimensions and the relationships between variables.
There are mentions of potential typos in the equations and the need for clearer definitions of terms. The discussion also highlights the importance of understanding the relationship between velocity, pressure, and the geometry of the flow setup.
Ok, I think I have it! I wrote up a proof, starting with the momentum equation, assuming incompressible, steady, non-viscous flow and neglecting body forces. I'll attach it since typing it took some time. Let me know what you think, as I have one question with what I wrote.haruspex said:
Yes, that all looks correct to me.joshmccraney said:
Awesome, thanks so much for your help! I really appreciate it!haruspex said:
Good point. I read the diagram as indicating Rx and Ry are the forces the flow exerts on the vanes, and did not notice that wording.Chestermiller said:
