Abstract
It is shown that when dimensional concepts are developed within the context of elementary group theory they enjoy a concrete foundation. Furthermore, the utilization of groups for this purpose enables a generalization of dimensional analysis to be formulated as an aspect of a far-reaching theory that has been herefore invoked principally for similarity analyses. Specifically, it is shown that for applications wherein the governing equations are in view a systematic procedure can be invoked which yields conclutions that are in every instance at leastas general as those obtained via more conventional dimensional approaches. For those applications wherein the governing equations are not in view, a novel pi-theorem, which evolves naturally as a part of the theory introduced here may be utilized.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
