Abstract. The framework of dimensional analysis is used for case-based reasoning. For all case descriptions in engineering and physics consisting of real-valued quantities with physical units, the Pi-Theorem of Buckingham can be shown to derive appropriate similarity conditions and provide an appropriate case adaptation. The advantages of the Pi-Theorem are mainly based on the properties of the...

The framework of dimensional analysis is used for case-based reasoning. For all case descriptions in engineering and physics consisting of real-valued quantities with physical units, the Pi-Theorem of Buckingham can be shown to derive appropriate similarity conditions and provide an appropriate case adaptation. The advantages of the Pi-Theorem are mainly based on the properties of the so-called...

Predicting the performance of a full-scale direct contact membrane distillation (DCMD) module based on experimental lab-scale results is rather difficult, since DCMD dependent many different process parameters. Hence, there need for methodology to perform system up-scaling results. In this study, we devise an approach scale up systems by using Buckingham's Pi theorem group parameters into eight...

In this article, David Buckingham addresses the challenges media educators face in dealing with postmodern media culture. Buckingham begins by outlining the nature of contemporary developments in children’s media environments and how these relate to broader changes in their social status. He argues that these developments represent a fundamental challenge to the modernist project of media educa...

Accurate and fast evaluation of electrostatic interactions in molecular systems is still one of the most challenging tasks in the rapidly advancing field of macromolecular chemistry, including molecular recognition, protein modeling and drug design. One of the most convenient and accurate approaches is based on a Buckingham-type approximation that uses the multipole moment expansion of molecula...

Ethanol is blended with pure gasoline for use as a fuel in engine. It required to conduct physical tests on engines observe the engine performance these blends. However, mathematical equations provide quick, effective, and accurate alternate tests. may not be possible develop relations specific operating conditions of fuel. dimensional analysis approach model. Dimensional used this research wor...

years as a graduate assistant in the physics department. He did additional graduate work at the University of During 1902 to 1906 as a soil physicist at the USDA Bureau of Strasbourg and the University of Leipzig, where he studSoils (BOS), Edgar Buckingham originated the concepts of matric ied under chemist Wilhelm Ostwald, who won the Nobel potential, soil–water retention curves, specific wate...