Feasibility of Rough Sets Theory in Predicting Heat Transfer Performance in Thermally Developed Flow of Third Grade Nanofluid with Gyrotactic Microorganisms

In recent years, considerable attention has been paid towards the nanotechnology research, which is an emerging area of research with many industrial and engineering significance. The nanofluids which use metallic nanoparticles to enhance the thermal extrusion system are considered as bio-friendly, durable and sustainable products. Nanofluids are engaged in fundamental applications like nuclear reactors, medical agents, material fabrication, chemical industries, geo-thermal engineering, petroleum industries etc. In recent years, a variety of experimental and theoretical computations were performed to explore the thermophysical aspects of such nanoparticles. Further, flow of nanoparticles containing gyrotactic microorganisms has interesting applications in microbial fuel cells, bio-technology and enzyme biosensors. The main purpose of the present paper is to use the rough sets theory to generate a set of rules to predict the heat transfer performance of a third grade nanofluid in thermally developed flow with gyrotactic microorganisms. The rough set reduction technique is applied to find all reducts and then a set of generalized rules is extracted to predict the value of local Nusselt number, local Sherwood number and motile density number. The generated results shows that our method can effectively predict these values with high accuracy and may be valuable in many engineering applications like power production, thermal extrusion systems and microelectronics.