Non-dimensional quantity

Giri_24 · April 3, 2020, 02:51

If we nondimensionalize any quantity say velocity, then will it's maximum and minimum value always be 0 and 1 respectively? Or can these limits be other than 0 and 1?

FMDenaro · April 3, 2020, 03:03

Quote:

Originally Posted by Giri_24

If we nondimensionalize any quantity say velocity, then will it's maximum and minimum value always be 0 and 1 respectively? Or can these limits be other than 0 and 1?

No at all, just think about the velocity direction ...that can result positive or negative in some non-dimensional component.

LuckyTran · April 3, 2020, 03:58

Its minimum and maximum value will be relative to whatever was used to non-dimensionalize it.

If you non-dimensionalize velocity using infinity, then its value is about 0. If you non-dimensionalize it using the speed of light, then its value will be small and won't exceed 1. If you non-dimensionalize it using the speed of sound, then you get another number that's gonna be a little larger but can exceed one (e.g. Mach number can be greater than 1). If you non-dimensionalize it using the speed that a snail moves, you get a pretty large value.

April 3, 2020, 02:51	Non-dimensional quantity	#1
Giri_24 New Member Join Date: Oct 2019 Posts: 8 Rep Power: 6	If we nondimensionalize any quantity say velocity, then will it's maximum and minimum value always be 0 and 1 respectively? Or can these limits be other than 0 and 1?

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April 3, 2020, 03:58		#3
LuckyTran Senior Member Lucky Join Date: Apr 2011 Location: Orlando, FL USA Posts: 5,679 Rep Power: 66	Its minimum and maximum value will be relative to whatever was used to non-dimensionalize it. If you non-dimensionalize velocity using infinity, then its value is about 0. If you non-dimensionalize it using the speed of light, then its value will be small and won't exceed 1. If you non-dimensionalize it using the speed of sound, then you get another number that's gonna be a little larger but can exceed one (e.g. Mach number can be greater than 1). If you non-dimensionalize it using the speed that a snail moves, you get a pretty large value.