Radiative squeezed flow of magnetized Prandtl-Eyring fluid over a sensor surface under Soret effect

Abstract

The central aim of this numerical analysis is to describe the effects of magnetic body force and thermal radiation on the boundary layer flow of Prandtl-Eyring fluid over a sensor surface suspended between two parallel plates. The considered fluid flow is two-dimensional unsteady electrically conducting and viscous incompressible in nature. A novel Soret effect is included in the concentration equation to reveal the significant features of mass diffusion mechanism under the influence of external squeezing mechanism. Surface permeable velocity concept is also included in the boundary conditions to describe the suction/injection process. However, squeezing flows find their abundant applications in bio-medicine, medical and bio-technology areas. Particularly, the micro-cantilevers with physical or chemical sensor surfaces are effectively used in the bio-medical applications for the finding of various hazardous or bio-warfare agents’, infections, hazardous virus, nuclear reactor cooling, polymer processing, pharmaceutical, blood flow, injection molding and many more. Thus, inspired by these practical applications of squeezing flows, the present problem is modeled based on the investigated geometry. The present physical problem gives the highly nonlinear coupled unsteady two-dimensional partial differential equations and which are not amenable to any of the direct methods. Owing to this reason, the appropriate similarity transformations are used to diminish the dimensional complexity of the emerged partial differential equations (PDEs). Thus, a robust Runge-Kutta -4th order scheme (RK-4) is used as a basic tool to obtain the similar solutions of the governing equations. The graphical visualization is used to analyze the computer generated numerical data in the boundary layer regime for the different set of physical parameters. It is observed that, the enhancing magnetic number $\left(0.1\le M\le 2.7\right)$ in the flow region $0\le \eta \le 3$ increases the velocity field and decreases the temperature and concentration fields. Increasing squeezed flow index $\left(0.1\le b\le 2.5\right)$ in the flow domain $0\le \eta \le 3$ decreased the fluid velocity, temperature and concentration fields. This result may be useful in sensor surface cooling process. Rising Prandtl-Eyring fluid parameters in the range $0\le \eta \le 3$ decreased the velocity field and enhanced the temperature and concentration profiles. Increasing Soret number $\left(0.1\le \mathit{\text{Sr}}\le 0.9\right)$ in the flow domain $0\le \eta \le 3$ enhances the concentration field. Enhancing magnetic and squeezed flow numbers amplifies the skin-friction coefficient on the sensor surface. Enhancing radiation parameter increases the heat transport rate. Increasing Soret number magnifies the concentration transport rate. Finally, it is explored that, the current similar results displaying good agreement with the formerly published results in the literature and this fact confirms the accuracy and guarantee of the RK-4 method and present similar results.

Keywords:

• Magnetic field
• microcantilever
• Schmidt number
• soret parameter
• thermal radiation

Acknowledgements

The authors wish to express their gratitude to the reviewers who highlighted important areas for improvement in the earlier draft of this article. Their suggestions have served specifically to enhance the clarity and depth of the interpretation of results in the revised manuscript.

Disclosure statement

No potential conflict of interest was reported by the authors.

Data availability

This manuscript has no associated data/not applicable.