

Solutions using scaling
These are solutions of problems that require scaling (i.e., comparing one the estimated "object" to other similar ones).Solutions using simple dimensional analysis
These solutions require a relatively simple analysis since these problems have only one dimensionless numbers.Elaborate Dimensional Analysis
In more general problems, there are several dimensionless numbers, which makes the analysis more complicated (but not much more!) and often utilizes Buckingham Pi Theorem.Equipartition
Since different components in a system tend to equilibrate (e.g., the kinetic and potential energies of a system), equipartition is a useful tool in estimates.Solutions requiring simple modeling
As a last resort, a problem's approximate solution can often be obtained through simple modeling.YOU MIGHT ALSO LIKE

Fast Simulation of Laplacian Growth (2007) - Laplace Example

Order of magnitude