New plan experiment and appropriate solution of related linear regression equations
Dragoslav R. Petrović · 2003
Dimensional reasoning is a very powerful tool for determination of exponents фi and coefficient K in equation fi = Kp1фip2ф2p3ф3...pnфn=KPpiфi(i = l...,n) where pi are mechanical system parameters, in that it has enabled us to deduce the relationship even with very little knowledge, and certainty no mechanical analysis, of the physical problem, but it is inadequate in all problems where there are n>3 parameters to be included on the right-hand side. It is given result of author investigation conceding determination of exponents фi and coefficient K in above equation without restriction as for number of parameters and appropriate problems associated with it. Main result of this investigations is eliminating necessity for any numerical and other analytical methods which serve for the solution system of ordinary linear equations for determination of the exponents.