Analysis of bio-convective gyrotactic microorganisms swim in a Buongiorno's dissipative Prandtl-Eyring nanofluid flow about a stretching sheet with inclined magnetic field and radiation effects under chemical reaction
Mahantesh M. Nandeppanavar, Hussain Basha, Sheetal Udgiri
Abstract
The main focus of the this research is to provide the numerical analysis of thermo-magnetic heat and mass transport features of two-dimensional radiative Prandtl-Eyring nanofluid flow over a stretching sheet with viscous dissipation, heat source/sink, Joule heating and chemical reaction effects. A novel Buongiorno's nanofluid model with gyrotactic microorganism concept is utilized to precisely describe the nano behaviour of Prandtl-Eyring fluid. However, this specific research problem has good number of applications in the various fields of science and engineering particularly in nanotechnology, electronic cooling, polymer processing, biomedicine, extruction polymer sheets and etc. Present physical problem results the coupled, nonlinear, two-dimensional, steady-state, partial differential equations and which are difficult to solve by using analytical methods. Hence, a robust matlab-based bvp4c numerical technique has been implemented to solve the present problem. The graphical illustrations showed that, the velocity profile decreased and temperature, concentration and microorganism profiles were elevated for the increasing values of magnetic number. Prandtl-Eyring nanofluid velocity decreased and temperature field enhanced with increasing Prandtl-Eyring parameters. Increasing Brownian motion parameter accelerates the temperature field and decreases the concentration profile. Skin-friction coefficient increases with increasing magnetic number. Microorganisms' density number increased with increasing Peclet number. The main objective of this investigation is the inclusion of Joule and viscous dissipation, thermal radiation, heat source/sink, inclined magnetic field, chemical reaction and gyrotactic microorganism effects with nanofluid model and this attempt generalizes earlier results and offers a novel re-defined numerical formulation of thermal and mass transportation properties of Prandtl-Eyring nanofluid flow over a stretching wall. In conclusion, the numerical accuracy of the present similarity solutions is validated with available results and observed an excellent agreement.