Solving Water Flow in a Taper Pipe Problem

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SUMMARY

The discussion focuses on solving a fluid dynamics problem involving water flow through a tapering pipe. The initial speed of water is 0.228 m/s with a pipe radius of 1.08 cm, and the goal is to determine the speed at a tapered section with a radius of 2.39 mm. The Continuity Equation (A1V1 = A2V2) and Bernoulli's Principle are essential for solving this problem. The user seeks assistance in applying these principles to find the solution.

PREREQUISITES
  • Understanding of the Continuity Equation in fluid dynamics
  • Familiarity with Bernoulli's Principle
  • Knowledge of basic geometry related to cylinders
  • Concept of incompressible fluids
NEXT STEPS
  • Review the application of the Continuity Equation in fluid flow problems
  • Study Bernoulli's Principle and its implications in varying pipe diameters
  • Practice problems involving the calculation of flow rates in tapered pipes
  • Explore the effects of pressure changes in fluid dynamics scenarios
USEFUL FOR

Students studying fluid dynamics, physics enthusiasts, and anyone looking to understand the principles of water flow in varying pipe geometries.

PhysicsCCR
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Homework Statement



Water entering a house flows with a speed of 0.228 m/s through a pipe of 1.08 cm inside radius. What is the speed of the water at a point where the pipe tapers to a radius of 2.39 mm?

Homework Equations


Continuity equation: A1V1 = A2V2

Bernoulli's Principle: P1 + .5pv1^2 + pgh1 = P2 + .5pv2^2 + pgh2, where P = Pressure,
p = density.

Volume of a cylinder = pi (r)^2 (h)

Area of a cylinder = 2pi (r)^2 + 2pi (r)h

The Attempt at a Solution

The problem seems simple enough, but I'm having trouble. Please help!
 
Physics news on Phys.org
Hi PhysicsCCR! :wink:

Water is incompressible.

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

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