Three-stage Lobatto analysis on hydrodynamic Eyring-powell flow of nanofluid: Impact of viscous dissipation, thermal radiation, and wall slip dynamics

Abstract

Thermal radiation and viscous dissipation play crucial roles in the phenomenon of boundary layer flow, especially in engineering and industrial applications involving high temperatures, such as in combustion engines, gas turbines, and furnaces, thermal radiation becomes a significant mode of heat transfer whereas viscous dissipation signifies the conversion of kinetic energy into thermal energy due to the frictional forces in the fluid. The key findings of the current investigations is to explore 3D magneto-hydrodynamics radioactive Eyring-Powell nanofluid flowing towards a stretchable porous surface using a three-stage Lobatto numerical. The influence of velocity and thermal slip under convective boundary constraints are also incorporated in the present investigations. The Eyring-Powell model, known for its relevance in non-Newtonian fluid mechanics, is used to simulate a nanofluid's flow dynamics and heat transfer characteristics. The mathematical Navies-Stokes equations are transformed into a system of ordinary differential equations (ODEs) by adopting a similarity variable, which are then solved numerically with the aid of the MATLAB bvp4c package. Results highlight the significance of physical parameters involved in the model like magnetic field strength , slip parameter, Eckert number, Lewis number, thermophoresis parameter, Brownian motion parameter and their impact on velocity temperature, and concentration profiles are displayed in the form of graphically. The data reveals an 11.2% increase in the heat transfer rate and a 6.65% increment in mass transfer when the radiation parameter is raised from 0.1 to 0.4. Results also elucidate that fluid temperature at the boundary rises as the Biot number increases because the rate of heat transfer between a solid surface and the surrounding fluid becomes more efficient. To check the validity and reliability of the present study, our calculated results are compared with the previous one, which shows stable agreement.