On the Non-Fourier’s Heat and Non-Fick’s Mass Flux for the Quadratic Convection Flow of a Couple Stress Nanofluid with Wu’s Slip

The overall goal of this paper is to look at how non-Fick’s and non-Fourier’s concepts affect the quadratic convection flow of a couple stress nanofluid across an extending surface under Wu’s slip, convective heating, and convective mass transfer conditions. The governing equations in the investigation are also initially stated as higher-order partial differential equations and thereafter rehabilitated into ordinary differential equations via similarity conversions. Finally, the numerical approach of the bvp5c solver in MATLAB R2019a is engaged to solve the resultant equations. It has been researched and shown using graphs and tables how physical characteristics affect the velocity, temperature, and concentration fields. The results show that the velocity profile along the x-direction grows with intensifying values of the couple stress, quadratic convection, buoyancy, and third-order slip constraints, whereas it declines with intensifying values of the fourth-order slip and magnetic field constraints. Also, the results show that as the velocity ratio constraint is increased, the velocity field along the y-axis increases. Furthermore, an augment in the values of the quadratic convection constraint and Schmidt number, respectively, causes a diminution in temperature and concentration distributions. The results of the current study can be used to increase lubricant production and reduce machinery deterioration. Furthermore, this theoretical and numerical deliberation has the potential to be beneficial in the field of bio-fluid dynamics and biomedicine.