MIA 508E - Dimensional Analysis and Modeling

Course Objectives

Determination of the nondimensional numbers for a considered physical phenomena
Planning of the experiments
Planning of the graphical presentation of the considered physical phonemena

Course Description

Introduction, Mathematical preliminaries, Formats ant classification,Dimensional systems, Dimensional homogenity, Structure of physical relations, Systematic determination of complete set of products of variables, Transformations, Number of sets of dimensionless products of variables, Relevancy of variables, Economy of graphical presentation, Forms of dimensionless relations, Sequence of variables in the dimensional set, alternate dimensions, methods of reducing the number of dimensionless variables, dimensional modelling, Nondimensionalizon of the equations, Analogy