Nondimensionalization is the partial or full removal of physical dimensions from an equation involving physical quantities by a suitable substitution...

if convection is present. The Fourier number arises naturally in nondimensionalization of the heat equation. The general definition of the Fourier number...

studentizing (e.g., Studentized residual). Another approach to nondimensionalization focuses on scaling by location rather than dispersion. The percent...

for which selected physical constants have been set to 1 through nondimensionalization of physical units. For example, the speed of light c may be set...

produced by lifting the fingers one at a time from bottom to top Nondimensionalization, the removal of units from a mathematical equation This disambiguation...

physics, however, this scruple may be set aside, by a process called nondimensionalization. The effective result is that many fundamental equations of physics...

a\varepsilon _{r}\varepsilon _{0}k_{\text{B}}T}}=Z_{0}} To obtain the nondimensionalized differential equation and initial conditions, use the π {\displaystyle...

c^{2}}}{Dp \over {Dt}}=\nabla \cdot {\bf {u}}} The next step is to nondimensionalize the variables as such: x ∗ = x / L , t ∗ = U t / L , u ∗ = u / U ...

{\displaystyle \omega _{0}>0} describing the width of the distribution—cf. nondimensionalization. If the state is allowed to evolve in free space, then the time-dependent...

computing sets of dimensionless parameters from the given variables, or nondimensionalization, even if the form of the equation is still unknown. The Buckingham...