Using Analytical Transformations for Designing Engineering Systems

Scaled models often used for observing the engineering characteristics of a hypothetical design are limited in their applicability to linear and non – distorted systems. Certain changes have to be employed in the scaling procedure to account for material irregularities and geometric discontinuities when such situations when non – linear variations need to be accounted for. Building on the development of the Empirical Similitude Method (ESM), the technique of Conformal Mapping coupled with the use of analytic transformations provides an excellent opportunity to enhance the general method in complex domain as is detailed below.