3D Representation of Pi Term Interactions: A Surface Plot of πa, πb, and Dependent Variable π₈
DOI:
https://doi.org/10.64751/Keywords:
Dimensional Analysis, Buckingham Pi Theorem, Pi Terms, 3D Surface Plot, Multivariable Interaction, Mathematical ModelingAbstract
This study presents a three-dimensional graphical analysis of dimensional analysis-derived Pi terms, focusing on the interaction between πa (product of positive Pi terms), πb (product of negative Pi terms), and the dependent variable π₈. Using a surface plot approach, the visualization provides insights into how variations in πa and πb affect π₈, enabling a better understanding of multivariable relationships in engineering and physical systems. The representation supports predictive modeling and helps in optimizing parameters in systems governed by dimensional homogeneity
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2023-11-18
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
How to Cite
Sanjay Wamanrao Sajjanwar, & Dr. Mahendra Saxena. (2023). 3D Representation of Pi Term Interactions: A Surface Plot of πa, πb, and Dependent Variable π₈. International Journal of Data Science and IoT Management System, 2(4), 22–31. https://doi.org/10.64751/