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Discover LudwigThe word "dimensionless" is correct and usable in written English
It typically refers to a quantity or entity that is not subject to dimensional analysis. For example, you could say, "The dimensionless ratio of two such quantities is used to calculate the effect on the system."
Dictionary
Dimensionless
adjective
Lacking dimensions
Exact(55)
The point of this laborious procedure is that this combination of multiplication and division produces a pure, dimensionless number.
This inevitably produces edgy, dimensionless sound that audiophiles call "digititis".But in the hands of experts, the best analogue and digital systems are virtually indistinguishable.
Shear strains are also dimensionless.
The magnifying power of a microscope is an expression of the number of times the object being examined appears to be enlarged and is a dimensionless ratio.
In the mks system, permittivity ε and the dimensionless dielectric constant κ are formally distinct and related by the permittivity of free space ε0; ε = κε0.
Because both friction and load are measured in units of force (such as pounds or newtons), the coefficient of friction is dimensionless.
It is conventional to describe drag forces in terms of a dimensionless quantity called the drag coefficient; this is defined, irrespective of the shape of the body, as the ratio [FD/(ρv02/2 A] and is denoted by CD.
Whether it does so or not depends on the magnitude of the temperature difference through a dimensionless combination of some of the relevant parameters, ρgαD3(T1 - T2)/ηκ, which is known as the Rayleigh number.
When v0 is comparable with the speed of sound, VS, the compressibility of the fluid becomes relevant, which means that the drag coefficient has to be regarded as dependent on the dimensionless ratio M = v0/VS, known as the Mach number, as well as on the Reynolds number.
Similar(2)
Although at any one time it is only the needle's near-dimensionless point that is in contact with our skin, we can nonetheless feel the needle moving smoothly and continuously from one location to another.
…dimensionless and is called the Poisson ratio.
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