Effects of viscous dissipation and activation energy for the MHD Eyring-powell fluid flow with Darcy-Forchheimer and variable fluid properties

Abstract

The study of flow, heat and mass transference of Eyring-Powell fluid flowing in the existence of micro cantilever sensor is useful to create enhancement in the field of non-Newtonian fluid. The Darcy-Forchheimer porosity medium is considered for the flow analysis. The impressions of thermal radiation, viscous dissipation, heat generation, activation energy, Soret and Dufour effects are taken here to investigate the transference analysis of heat and mass rate. The flow phenomena are inspected under the influence of variable fluid properties. The motivation arises to work in this type of study is due to their applications in various industries such as steam generators, chemical reactors, system of dying package beds, several cooling and heating process and treatment of various diseases. The flow equations are occurred in the form of PDEs and then we utilize suitable similarity transformations to convert them into ODEs. These ODEs are numerically solved by the numerical technique namely, ‘shooting method’. The result reveals that the fluid velocity upsurges due to Hartman number and fluid coefficient whereas opposite impact is illustrious due to porosity coefficient, inertia coefficient and viscosity parameter. The finding indicated that we can upturns the temperature within the flow system due to thermal radiation, thermal conduction coefficient, Eckert number, heat generation and Dufour number. The rate of mass transference enhances for higher inputs of heat conduction coefficient, activation energy and Soret number while reverse behavior is seen due to temperature difference coefficient.

Keywords

• Eyring-Powell fluid
• Darcy-Forchheimer
• Variable fluid properties
• Magnetic field
• Thermal radiation
• Dufour effect