dimensionless's Usage Examples:

In dimensional analysis, a dimensionless quantity is a quantity to which no physical dimension is assigned, also known as a bare, pure, or scalar quantity.

is a set of pseudo-units to describe small values of miscellaneous dimensionless quantities, e.

Reynolds numbers are an important dimensionless quantity in fluid mechanics.

Mach number (M or Ma) (/mɑːk/; German: [max]) is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to.

} One could choose instead a rescaled dimensionless entropy in microscopic terms such that S ′ = ln ⁡ W , Δ S ′ = ∫ d Q.

{\displaystyle G_{1}=C} for some dimensionless constant C gives the dimensionless equation sought.

The dimensionless product of powers of variables is.

) On defining the dimensionless deceleration parameter q ≡ − a ¨ a a ˙ 2 {\displaystyle q\equiv -{\frac.

L2/L2 = 1, dimensionless).

It is useful, however, to distinguish between dimensionless quantities of a different nature, so.

known as the surf similarity parameter and breaker parameter – is a dimensionless parameter used to model several effects of (breaking) surface gravity.

The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum.

The radian is defined in the SI as being a dimensionless value, and its symbol is accordingly often omitted, especially in mathematical.

c_{d}} , c x {\displaystyle c_{x}} or c w {\displaystyle c_{w}} ) is a dimensionless quantity that is used to quantify the drag or resistance of an object.

The damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance.

The Knudsen number (Kn) is a dimensionless number defined as the ratio of the molecular mean free path length to a representative physical length scale.

which characterizes the strength of the electromagnetic interaction, is dimensionless.

Dimensionless numbers in fluid mechanics are a set of dimensionless quantities that have an important role in analyzing the behavior of fluids.

V j {\displaystyle \phi _{i}={\frac {V_{i}}{\sum _{j}V_{j}}}} Being dimensionless, its unit is 1; it is expressed as a number, e.

selected positive numbers in increasing order, including counts of things, dimensionless quantity and probabilities.

The Péclet number (Pe) is a class of dimensionless numbers relevant in the study of transport phenomena in a continuum.