Are Pressure Levels Same in Streams with Unequal Areas?

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SUMMARY

The discussion centers on the relationship between pressure and area in fluid dynamics, specifically referencing Bernoulli's Equation. It is established that pressure can remain constant at two points along a streamline, even if the cross-sectional areas are unequal, provided that water velocity and density are consistent. The key takeaway is that pressure is defined as force per unit area, making gross area irrelevant in this context.

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  • Understanding of Bernoulli's Equation
  • Basic principles of fluid dynamics
  • Knowledge of streamline motion in fluids
  • Concept of pressure as force per unit area
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phymatter
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if water is flowing in a streamline motion then at 2 points at same horizontal level can the pressure be same if area is not same ?
please help!
 
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From Bernoulli Equation, if the area changes than the vertical elevation would also need to change to keep the static pressure constant.
 
phymatter said:
if water is flowing in a streamline motion then at 2 points at same horizontal level can the pressure be same if area is not same ?
please help!

Yes. The dimensions of pressure are force per unit area. Gross area is irrelevant. I assume that the water velocity and density are the same at each point.
 

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