Rough Set Approach for Identifying the Combined Effects of Heat and Mass Transfer Due to MHD Nanofluid Flow over a Vertical Rotating Frame

Sumayyah I. Alshber and Hossam A. Nabwey
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Sumayyah I. Alshber: Department of Mathematics, College of Education in Al-Dilam, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Hossam A. Nabwey: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Mathematics, 2021, vol. 9, issue 15, 1-21

Abstract: The current work aims to investigate how to utilize rough set theory for generating a set of rules to investigate the combined effects of heat and mass transfer on entropy generation due to MHD nanofluid flow over a vertical rotating frame. The mathematical model describing the problem consists of nonlinear partial differential equations. By applying suitable transformations these equations are converted to non-dimensional form which are solved using a finite difference method known as “Runge-Kutta Fehlberg (RKF-45) method”. The obtained numerical results are depicted in tabular form and the basics of rough sets theory are applied to acquire all reductions. Finally; a set of generalized classification rules is extracted to predict the values of the local Nusselt number and the local Sherwood number. The resultant set of generalized classification rules demonstrate the novelty of the current work in using rough sets theory in the field of fluid dynamics effectively and can be considered as knowledge base with high accuracy and may be valuable in numerous engineering applications such as power production, thermal extrusion systems and microelectronics.

Keywords: classification; rules extraction; nanofluid; local Nusselt number; local Sherwood number; rough sets theory; feature selection; heat and mass transfer (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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