Fluid mechanics: water jet impacting an inclined plane

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SUMMARY

The forum discussion centers on the fluid mechanics of a water jet impacting an inclined plane, specifically analyzing the continuity equation and the generalized Bernoulli equation without machine effects. Key equations include the continuity equation, which states that the mass flow rates must balance, and the generalized Bernoulli equation, which relates pressure, velocity, and elevation changes in a frictionless flow. The participants express confusion regarding the interpretation of the angle α and the implications of a frictionless surface on the forces acting on the fluid jet.

PREREQUISITES
  • Understanding of fluid dynamics principles, specifically the continuity equation and Bernoulli's equation.
  • Familiarity with vector forces and momentum equations in fluid mechanics.
  • Knowledge of basic calculus and algebra for solving equations related to fluid flow.
  • Ability to interpret physical diagrams and apply geometric relationships in fluid mechanics.
NEXT STEPS
  • Study the derivation and applications of the continuity equation in fluid mechanics.
  • Learn how to apply the generalized Bernoulli equation in various fluid flow scenarios.
  • Explore the concept of frictionless flow and its implications on fluid dynamics.
  • Investigate the relationship between pressure, velocity, and elevation in incompressible flow systems.
USEFUL FOR

Students and professionals in engineering, particularly those specializing in fluid mechanics, mechanical engineers, and anyone involved in the design and analysis of fluid systems and jet dynamics.

  • #31
erobz said:
The normal force is:

$$ N = \rho A_1 c^2 \sin \theta$$
Ok perfect thank you very much!
 
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  • #32
Guillem_dlc said:
Ok perfect thank you very much!
I'm not really sure what's going on. How they determine ##\theta = 45^{\circ}## is a bit of a mystery I feel we haven't solved yet. Sorry, If I didn't turn out to be of much help.
 
  • #33
erobz said:
I'm not really sure what's going on. How they determine ##\theta = 45^{\circ}## is a bit of a mystery I feel we haven't solved yet. Sorry, If I didn't turn out to be of much help.
Don't worry, no problem.

I suppose that in an exercise, as soon as it is not an example, everything will be better placed.
 
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  • #34
What book is this example from?
 
  • #35
Frabjous said:
What book is this example from?
It isn't from a book.
 
  • #36
Guillem_dlc said:
It isn't from a book.
Website?
 
  • #37
The momentum of stream 1 can be resolved into components normal and tangential to the plane. Since the force of the plane on the water is normal to the plane (neglecting viscous friction), the normal component of the momentum from stream 1 is balanced by the normal force F. The momentum component of the stream 1 tangent to the plane is balanced by the momentum of tangential streams streams 2 and 3; this provides a basis for determining the thicknesses of streams 2 and 3.
 

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