New answers tagged

-1

... the purpose of non-dimensionalization is to "collapse" solutions onto one curve so that the solution space can be explored with fewer parameters. That's one 'purpose' of non-dimensionalization; two others are the identification of the characteristic length, velocity, pressure, etc. scales and the analysis of the equation under different regimes, in ...


0

The two equations only differ by a trivial rescaling of the time coordinate, and are therefore equivalent. If $u(x,t)$ is a solution of the first equation, then $u(x,{\it Re}\, t)$ is a solution of the second. Re is physically relevant because it governs the relative importance of the advective and dissipative terms. Multiplying $\partial_t u$ by a constant ...



Top 50 recent answers are included