The discussion revolves around the treatment of pressure differences at two points in an energy equation, particularly in the context of fluid dynamics. Participants are questioning why the pressure at point 1 is assumed to be equal to the pressure at point 2 despite the height difference, and how this relates to Bernoulli's equation.
The discussion is ongoing with participants raising questions about the author's assumptions and the implications of those assumptions on the energy equation. Some guidance has been offered regarding the choice of points in the streamline and how it affects pressure considerations.
There is a focus on the specific heights chosen in the energy equation and how they relate to pressure differences. Participants are considering the implications of these choices on the overall understanding of the problem.
Pressure and energy are dimensionally different. How would you propose to take pressure into account for an energy equation involving incompressible fluid?foo9008 said:
sorry , why the author did not take the P/ y into the calculation ? where y = ρgharuspex said:
The 2+ and 1+ are the potential energy terms. It is a bit confusing because the author has divided out ρg everywhere.foo9008 said:
after dividing the ρg why there is no P to be taken into the calculation ? the author assume P1 and P2 as same pressure? why ?haruspex said:
Bernoulli's equation refers to identified points in the streamline. The author's choice of height values (1, 2) indicates the points being chosen are on the surface, so the pressure is the same. If instead you pick points at the bottom of the stream then the heights are the same and the pressures are different, but the equation turns out the same.foo9008 said:
so do you mean the author choose point 1 and2 on the surface??haruspex said:
It seems that way.foo9008 said:
