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.
Highlights
The study of Hydromagnetic fluid flow problems has attracted the attention of relatively few researchers
Chemical reaction parameter has more significant effect on Sherwood number than it does on Nusselt number
A methodology based on rough sets theory for generating a set of classification rules to predict the value of local Nusselt number and local Sherwood number to investigate the combined effects of heat and mass transfer on entropy generation due to MHD nanofluid flow over a vertical rotating frame was introduced
Summary
The study of Hydromagnetic fluid flow problems has attracted the attention of relatively few researchers. The analysis of such flows finds application in different areas such as polymer technology, Meteorology, the field of earth science, MHD generators, metal purification, geothermal energy extractions and flow meters. Mabood et al [1] had studied the influence of variable fluid properties on heat transfer in MHD Casson fluid melts over a moving surface in a porous medium in the presence of the radiation. Nagy et al [2] investigated the effects of hall currents and rotation on a generalized Hartmann flow and heat transfer. Sato [3] has studied the Hall effect in the viscous flow of ionized gas between parallel plates under transverse magnetic field. It is noted that all the previously mentioned papers considered the models of a conventional fluid flow of an electrically conducting fluid; while fluids with the inclusion of solid particles in millimeter or micrometer sizes (nanofluid) have a quite different behavior from that of the traditional fluid in various vital aspects
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