This discussion focuses on the application of the conservation of momentum principle to analyze fluid flow through a 2D infinite row of fixed shapes. The participants derive the necessary reactions, ##R_x## and ##R_y##, to maintain the position of a vane, using parameters such as density (##\rho##), velocities (##v_1##, ##v_2##), and pressures (##p_1##, ##p_2##). Key equations include the force balance at both stations and the relationship between flow rates, leading to the conclusion that ##R_x = p_1aW - p_2aW##. The discussion emphasizes the importance of correctly applying the conservation of mass and momentum in fluid dynamics.
PREREQUISITESStudents and professionals in fluid mechanics, mechanical engineers, and anyone involved in analyzing fluid flow systems and their dynamics.
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:
