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Old Feb 27th 2016, 07:38 AM   #1
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reynold number formula

can someone explain why the force of inertia is ρ(V^2)(L^2) , while the viscous force is μVL ?
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Old Mar 1st 2016, 06:16 AM   #2
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Reynolds number is a dimensionless number used to define the type of the fluid flow. we have a lot of other dimensionless numbers, such as Rayleigh, Mach, Prandtl etc.. each help us to define the governing physical phenomena dominating a certain problem, inertial vs viscous forces in case of reynolds number.
Example: let say you want to design a new ship prow. instead of building a full size one and test it you can build a much smaller one, test it in your lab and by comparing or adjusting Reynolds numbers (and other non-dimensional numbers) you can predict the behavior of a full size prow (e.g.drag forces)

you can read about "Buckingham π theorem" for deeper understanding
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Old Mar 1st 2016, 12:43 PM   #3
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Look at the dimensions of ρ and μ.
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Old Aug 7th 2017, 05:42 AM   #4
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nice
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