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Rayleigh's method of dimensional analysis is a conceptual tool
used in physics, chemistry, and engineering. This form of
dimensional analysis expresses a functional relationship of some
variables in the form of an exponential equation. It was named
after Lord Rayleigh. The method involves the following steps: 1.
Gather all the independent variables that are likely to influence
the dependent variable. 2. If X is a variable that depends upon
independent variables X1, X2, X3, ..., Xn, then the functional
equation can be written as X = F(X1, X2, X3, ..., Xn). 3. Write the
above equation in the form X = C X_1^a X_2^b X_3^c cdots X_n^m ,
where C is a dimensionless constant and a, b, c, ..., m are
arbitrary exponents. 4. Express each of the quantities in the
equation in some fundamental units in which the solution is
required.
