The Open Mechanical Engineering Journal

2018, 12 : 164-174
Published online 2018 August 31. DOI: 10.2174/1874155X01812010164
Publisher ID: TOMEJ-12-164

RESEARCH ARTICLE
An Alternate View of Dimensional Homogeneity, and Its Impact on Engineering Science

Eugene F. Adiutori, *
Ventuno Press, 1094 Sixth Lane N., Naples, Florida 34102, USA

* Address correspondence to this author at the Ventuno Press, 1094 Sixth Lane N., Naples, Florida 34102, USA; Tel: 1-239-537-4107; E-mail: efadiutori@aol.com

ABSTRACT

Aims:

This article proposes an alternate view of dimensional homogeneity that greatly simplifies the solution of nonlinear engineering problems.

Background:

The conventional view of dimensional homogeneity is generally credited to Fourier (1822).

Objectives:

The objectives of this article are to describe the alternate view of dimensional homogeneity and to demonstrate its application to practical engineering problems.

Methods:

By presenting the solution of several nonlinear engineering problems, this article compares solutions based on the alternate view of dimensional homogeneity with solutions based on the conventional view.

Results:

Example problems demonstrate that nonlinear engineering problems are much easier to solve if the solutions are based on the alternate view of dimensional homogeneity rather than the conventional view. The relative simplicity results because the alternate view of dimensional homogeneity reduces the number of variables in nonlinear problems.

Conclusion:

The widely accepted view of dimensional homogeneity should be replaced by the alternate view because the solution of nonlinear engineering problems is greatly simplified.

Keywords:

Dimensional homogeneity, Parameter symbolism, Nonlinear phenomena, Engineering laws, Engineering science, Heat transfer, Modulus, Heat transfer coefficient, Parametric equations.