Fluid velocity vs pressure in taper.

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SUMMARY

This discussion centers on the relationship between fluid velocity and pressure in tapered holes. When fluid is pushed through a tapered hole, the velocity increases while the pressure decreases, contrary to the behavior observed in straight holes. The key question raised is whether the resistance to applied pressure remains consistent, decreases, or increases as the speed of the piston increases. The assumption made is that the flow will be at least linear with progressive speed.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of pressure and velocity relationships in fluid mechanics
  • Familiarity with the concept of back pressure in fluid systems
  • Basic grasp of tapered flow characteristics
NEXT STEPS
  • Research the Bernoulli's principle in fluid dynamics
  • Explore the effects of tapering on fluid flow rates
  • Learn about the Navier-Stokes equations and their applications
  • Investigate experimental methods for measuring fluid velocity and pressure in tapered systems
USEFUL FOR

Engineers, fluid mechanics students, and researchers interested in fluid dynamics and pressure-flow relationships in tapered systems.

THORPE
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I have been running this question through my mind.

If you apply pressure to a fluid (with say a piston) through a straight hole then the faster you push it through with applied pressure then the more back pressure it builds. Until eventually it pretty much locks up.

I understand that.

Ok if you push fluid through a tapered hole then the fluid velocity should increase and pressure should decrease.

My question is will the resistance to applied pressure stay consistent, decrease, or increase with increased applied speed of the piston?
 
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Any ideas?

Does my question make sense?
 
I'm surprised I haven't seen the first response to this question.

I am going to assume that the flow will be at least linear with progressive speed.
 

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