Numerical heat and mass transfer in magnetized Williamson liquid motion over a sensor wall engulfed in a micro-cantilever system: An application to thin-film fluidic cells

Abstract

Central focus of this numerical analysis is to investigate the influence of magnetic body force and thermal radiation on the time-dependent electrically conducting two-dimensional viscous incompressible boundary layer flow of non-Newtonian Williamson fluid over a microcantilever sensor surface suspended in a squeezed regime numerically. A novel heat source/sink and Soret effects are included in the respective governing equations. The constructed time-dependent nonlinear coupled partial differential equations are solved by using a bobust RK-4 technique. Increasing magnetic number increases the velocity distribution and decreases the temperature and concentration profiles in the flow regime.Enhancing Soret number increases the mass diffusion profile. Increasing magnetic number suppress the skin-friction coefficient. Heat transport rate booted with rising radiation number and Sherwood number decreased with enlarged Schmidt number in the channel regime. Finally, the numerical accuracy of the present similarity solutions and used numerical method is validated with existing results and observed a remarkable agreement.

Keywords:

• Magnetic field
• sensor sheet
• soret effect
• thermal radiation
• Williamson fluid model

Acknowledgments

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 statement

This manuscript has no associated data/not applicable.