9853

Pressure Profile for Column of Multiple Fluids

This Demonstration shows the effects of fluid height and density on hydrostatic pressure. You can vary both the absolute fluid height and density of the bottom fluid (blue). The middle fluid (orange) and top fluid (purple) are adjusted with respect to the bottom fluid. This results in a total hydrostatic pressure profile that indicates the gage pressure at different depths in the container.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

This Demonstration lets you vary the fluid heights and densities of each of the fluids and shows the resulting pressure profile of the three fluids in a container. Hydrostatic pressure is calculated by
,
where is the hydrostatic gage pressure (kPa), is the fluid density (), is the gravitational constant (), and is the height of the fluid ().
In order to calculate the total pressure inside the container, the individual fluid pressure is added to the pressure acting on the fluid from above.
,
,
,
.
Graphing hydrostatic pressures versus depth for each fluid generates a pressure profile for the container.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+