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

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.

Significance of Cattaneo-Christov heat flux in Darcy-Forchheimer transport of nanofluid with entropy optimization

“…In a Magnetohydrodynamic generator, an ionized fluid is anticipated to migrate at a specific velocity through such a strong magnetic field, creating an electromagnet that may be used to harvest electric energy by inserting two conductors across the fluid stream. Alshber and Nabwey 19 examined heat and mass transfer phenomena caused by the MHD flow of nanofluid around a rotating frame. The features of MHD flow of nanofluid with heat production were investigated by Oyelakin et al 20 The effects of dissipative heat energy on MHD flow across a nonlinear sheet were investigated by Baag et al 21 More work on nanofluid and MHD is carried out.…”