Help with Capillary Rise Equation for Differential Equations Class

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  • Thread starter Thread starter RagincajunLA
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    Capillary Rise
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SUMMARY

The discussion focuses on deriving the capillary rise equation for a differential equations class, specifically using the Poiseuille flow equation alongside the material balance and the Young-Laplace equation. The user seeks guidance on formulating an ordinary differential equation (ODE) based on provided data points related to capillary action in a paper towel. The goal is to integrate this ODE to obtain a solution that accurately represents the capillary rise phenomenon.

PREREQUISITES
  • Understanding of ordinary differential equations (ODEs)
  • Familiarity with the Poiseuille flow equation
  • Knowledge of the Young-Laplace equation
  • Basic principles of fluid mechanics and capillarity
NEXT STEPS
  • Study the derivation of the Poiseuille flow equation in detail
  • Research the application of the Young-Laplace equation in fluid interfaces
  • Practice solving ordinary differential equations with boundary conditions
  • Explore material balance concepts in fluid dynamics
USEFUL FOR

Students in physics or engineering disciplines, particularly those studying fluid mechanics and differential equations, will benefit from this discussion as it provides insights into the mathematical modeling of capillary action.

RagincajunLA
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Hey guys, I have a problem in one of my classes where I need to make an equation of capillary rise in a strip of paper towel. I am given data points and I need to make an equation that fits the points. Can someone please help me through the physics and derivation behind this. I tried doing some research but i can't quite understand what is going on. This if for my differential equations class so i need to go about making an ODE and integrating it to the answer. I am not looking for you guys to flat out give me the answer. I would like someone to explain it to me so i can understand it
 
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Use the Poiseulle flow equation for a capillary in conjunction with the material balance and the Young-Laplace equation at the interface.
 

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