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Dimensionless numbers allow you to compare two systems that are vastly different by combining the parameters of interest.

For example, the Reynolds number, Re = velocity * length / kinematic viscosity. If you are testing an airfoil with a particular Re, and you want to run a simulation on a scaled-down model (length is smaller), you could increase fluid velocity or lower kinematic viscosity (change fluids) or both to establish the same Re and ensure you are working under comparable circumstances.

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14y ago
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6mo ago

Dimensionless numbers allow for comparisons between different systems without being affected by the units used. They provide insight into the physical behavior of systems and can help predict how they will respond to changes in parameters. Dimensionless numbers also help simplify complex problems and reveal underlying relationships between variables.

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Q: What is the importance of Dimensionless numbers?
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