What Is the Reynolds Number for Fluid Flow in a Tube?

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SUMMARY

The Reynolds number for fluid flow in a tube can be calculated using the formula N = (density x V x DH) / μ, where density is 1.1 g/cm³, dynamic viscosity μ is 9.1 x 10-4 Pa.s, and the hydraulic diameter DH is 10 mm. The fluid fills a 10 mL container in 29 seconds, which allows for the calculation of flow velocity V. By substituting these values into the equation, one can determine the Reynolds number, which is crucial for understanding the flow regime of the fluid.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the Reynolds number concept
  • Knowledge of dynamic viscosity and its units
  • Ability to perform unit conversions (e.g., g/cm³ to kg/m³)
NEXT STEPS
  • Calculate the flow velocity V using the volume and time provided
  • Convert the density from g/cm³ to kg/m³ for consistency in SI units
  • Explore the significance of the Reynolds number in determining flow regimes
  • Learn about laminar and turbulent flow characteristics in fluid mechanics
USEFUL FOR

Students studying fluid dynamics, engineers working with fluid systems, and anyone interested in the application of the Reynolds number in practical scenarios.

Chiralic
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Homework Statement


Afluid with a viscosity of 9.1 x 10-4 Pa.s and density 1.1 g/cm3 flows through a tube with an inner diameter of 10 mm and fills a 10 mL container in 29 s. What is the Reynolds number for this flow?



Homework Equations


I am assuming its this equation for a tube:

N= density x V x DH/ u (mu=dynamic viscosity)




The Attempt at a Solution



Well no attempt yet. Not sure what mu is or how to calculate it in this equation, or how to calc the hydrolic diameter.
Some hints in the right direction would be appreciated. ty
 
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You're given both numbers. The hydraulic diameter is 10 mm; the viscosity is 9.1 x 10-4 Pa.s.
 

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