Fluid mechanics: water jet impacting an inclined plane

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Homework Help Overview

The discussion revolves around fluid mechanics, specifically analyzing the behavior of a water jet impacting an inclined plane. The original poster presents equations related to the continuity equation and Bernoulli's principle, along with specific parameters such as fluid density and jet velocity.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the clarity of the problem statement and the context of the equations provided. There is a discussion about the meaning of "fluid wall strength" and how it relates to the forces acting on the fluid. Some participants explore the implications of a frictionless vane and the conditions under which certain equations hold true.

Discussion Status

The discussion is ongoing with participants seeking clarification on the problem statement and the physical interpretation of the equations. Some have offered insights into the assumptions of incompressible flow and the implications for the forces acting on the fluid, while others are still trying to understand the relationships between the variables involved.

Contextual Notes

There is a noted lack of explicit problem statement details, which has led to confusion among participants. The original poster has provided a set of equations without sufficient context, prompting questions about the intended analysis and the physical meaning of certain terms.

  • #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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