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Experiment on Fluids:
Finding the Velocity of a Fluid in a Confined Container


SUBJECT: Aeronautics
TOPIC: Fluid Velocity
DESCRIPTION: A set of mathematics problems dealing with fluid velocity.
CONTRIBUTED BY: Carol Hodanbosi
EDITED BY: Jonathan G. Fairman - August 1996

Purpose:

To calculate the velocity of a confined fluid, given the cross-section area and velocity of another region.


Concept:

The drawing below is a cross-section of a circular cone attached to a circular cylinder.

When a fluid (liquid or gas) is in a confined space, with no change in pressure or temperature, one can use the equation of continuity to find the velocity of the fluid if one knows the cross-section area and velocity in one of the regions. The formula for this is A1*V1 = A2*V2, where A is the cross-section area of one location and V is the velocity for that location.

 

Analysis:

Given three different locations in a confined container, A, B, and C, all having different radii, can you find the other two velocities of the fluid, if the velocity at A is given?

 

  1. If the cross-section at A has a radius of 6 meters, can you find the area of the slice through the cone
    (Area = pi * r 2)?
    (answer)

     

  2. If the velocity of the fluid at location A is 10.0 m/s, and the radius at location B is 4.2 meters, can you find the velocity at location B?
    (answer)

     

  3. If the velocity at location C is 8.6 m/s, can you find the radius at location C?
    (answer)

    Extension:

  4. If the radius of a fourth location, D, is one-half the radius of A , how would the velocity at location D compare to the velocity of the fluid at A? If D had one-third the radius of A, compare the velocity of the fluid at D to A. Explain your reasoning showing calculations.
    (answer)


Related Pages:
Aeronautics Activities
Aerospace Activities Page
Aerodynamics Index
Continuity Equation
Air Flow Rate

 

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Editor: Tom Benson
NASA Official: Tom Benson
Last Updated: Jun 12 2014

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