Evaluate Problems using fluid dynamics

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Discussion Overview

The discussion revolves around a fluid dynamics problem involving water flow through a nozzle, focusing on calculating the velocity at the nozzle exit and understanding the forces exerted by the water jet on a flat plate. Participants explore concepts related to Bernoulli's equation, continuity of flow, and momentum balances, while addressing various assumptions and interpretations of the problem.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • The original poster (OP) presents a problem involving water flow and seeks to calculate the exit velocity, using equations related to pressure and flow continuity.
  • Some participants inquire about the learning context, specifically whether the OP is familiar with macroscopic momentum balances.
  • There is a discussion about the exit pressure being 0 Pa gauge and its implications for interpreting the force exerted by the water jet.
  • Participants debate the interpretation of the force of 87N, with some suggesting it relates to the pressure of the moving fluid and others emphasizing the momentum balance approach.
  • One participant proposes that the Bernoulli equation may not be relevant for calculating the force on the plate, suggesting it is more related to the momentum loss of the water stream.
  • There are conflicting views on the correctness of formulas derived from a video referenced by participants, with some asserting that certain equations may be incorrect or irrelevant.
  • Calculations are presented, leading to a discussion about the magnitude of the resulting velocity and the importance of unit consistency in the calculations.

Areas of Agreement / Disagreement

Participants express differing interpretations of the problem and the relevance of various equations, indicating that multiple competing views remain. There is no consensus on the best approach to solve the problem or the correctness of certain interpretations and formulas.

Contextual Notes

Participants highlight limitations in the problem setup, including unknown pressures and velocities at different points, as well as potential misinterpretations of the force exerted by the water jet.

Who May Find This Useful

This discussion may be useful for students learning fluid dynamics, particularly those interested in the application of Bernoulli's equation, momentum balances, and the continuity of flow in practical scenarios.

  • #31
akshay86 said:
but water also exert pressure on the plate contributing to the force
As I see it, the only force from the water acting on the plate is the force due to the water hitting the plate. The video in post #17 shows how to calculate this force.
 

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