Reynolds number and its relation to laminar and turbulent flow

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SUMMARY

The Reynolds number is a critical dimensionless quantity that quantifies the ratio of inertial forces to viscous forces in fluid flow. When viscous forces dominate, typically indicated by a low Reynolds number (Re < 2000), the flow is laminar, characterized by smooth and orderly fluid motion. Conversely, as the Reynolds number increases, indicating a dominance of inertial forces, the flow transitions to turbulent, marked by chaotic and irregular fluid motion. High viscosity contributes to flow stability but can also induce instabilities, such as Tollmien-Schlichting waves, that lead to flow transition.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the concept of viscosity
  • Knowledge of flow regimes: laminar and turbulent
  • Basic grasp of dimensionless numbers in physics
NEXT STEPS
  • Research the mathematical formulation of Reynolds number
  • Study the characteristics of laminar vs. turbulent flow
  • Explore Tollmien-Schlichting waves and their role in flow transition
  • Examine practical applications of Reynolds number in engineering
USEFUL FOR

Students and professionals in fluid dynamics, mechanical engineers, and anyone interested in understanding the behavior of fluids in various flow regimes.

Kidphysics
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So I understand that Reynolds number is the ratio of intertial forces to viscous forces but how exactly does this relate to flow? Why is it that when viscous forces dominate one gets a laminar flow? How to conceptualize?
 
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Kidphysics said:
So I understand that Reynolds number is the ratio of intertial forces to viscous forces but how exactly does this relate to flow? Why is it that when viscous forces dominate one gets a laminar flow? How to conceptualize?

High viscosity tends to damp out turbulent energy fluctuations.
 
Chestermiller said:
High viscosity tends to damp out turbulent energy fluctuations.

Sort of. Viscosity does tend to make a flow more stable but it also is solely responsible for certain flow instabilities that lead to transition (e.g. Tollmien-Schlichting waves).
 

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