Fluid flow rate lab- with analysis

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SUMMARY

The discussion focuses on measuring the flow rates of liquids with varying viscosities through holes of different diameters to analyze the relationship between viscosity, diameter, and flow rate. The key equation used is Flow rate = ΔV/Δt. A significant point raised is the challenge of measuring viscosity directly, leading to the suggestion of using the Andrade equation, η = Aρ^n, to relate density and viscosity. This equation allows for the calculation of viscosity based on measurable density values.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the Andrade equation for viscosity
  • Knowledge of measuring flow rates and liquid properties
  • Basic graphing skills for data analysis
NEXT STEPS
  • Research the Andrade equation and its applications in fluid mechanics
  • Learn about methods for measuring viscosity in liquids
  • Explore techniques for graphing and analyzing flow rate data
  • Investigate the relationship between viscosity, density, and temperature in fluids
USEFUL FOR

This discussion is beneficial for students in physics or engineering, researchers in fluid dynamics, and anyone involved in experimental analysis of liquid properties.

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Homework Statement



Problem statement: We are measuring the flow rates of liquids of different viscosities through holes of varying sizes. We ultimately want to observe the relationship between the viscosity and the flow rate, and also between the diameter and the flow rate.

Variables:
Independent- different liquids (different viscosities); diameter of hole
Dependent- flow rate

Homework Equations


Flow rate = ΔV/Δt

The Attempt at a Solution


We need for all of our variables to be of quantitative nature but at the moment, we cannot measure the viscosity of our liquids.

My main question is if I should try to graph the density of my liquids against the flow rate as opposed to the viscosity (since the density is something I can easily measure)? I am worried that this approach will lead to data upon which no conclusion can be drawn since the density of a liquid does not determine its viscosity.

Basically I am hoping that there is an equation I can use that uses the flow rate and density of a liquid to calculate its viscosity. Is there such an equation?
 
Physics news on Phys.org
The answer is yes, there is an equation that relates density and viscosity. It is the Andrade equation, which states:η = Aρ^nwhere η is viscosity, ρ is density, A is a constant, and n is a power factor.
 

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