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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: # Gather all the independent variables that are likely to influence the dependent variable. # If ''R'' is a variable that depends upon independent variables ''R''1, ''R''2, ''R''3, ..., ''R''''n'', then the functional equation can be written as ''R'' = ''F''(''R''1, ''R''2, ''R''3, ..., ''R''''n''). # Write the above equation in the form where ''C'' is a dimensionless constant and ''a'', ''b'', ''c'', ..., ''m'' are arbitrary exponents. # Express each of the quantities in the equation in some base units in which the solution is required. # By using dimensional homogeneity, obtain a set of simultaneous equations involving the exponents ''a'', ''b'', ''c'', ..., ''m''. # Solve these equations to obtain the value of exponents ''a'', ''b'', ''c'', ..., ''m''. # Substitute the values of exponents in the main equation, and form the non-dimensional parameters by grouping the variables with like exponents. Drawback – It doesn't provide any information regarding number of dimensionless groups to be obtained as a result of dimension analysis == See also == * Physical quantity * Buckingham pi theorem 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Rayleigh's method of dimensional analysis」の詳細全文を読む スポンサード リンク
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