Rayleigh's Method of Dimensional Analysis
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High Quality Content by WIKIPEDIA articles! 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, ...,...
High Quality Content by WIKIPEDIA articles! 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.
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