Sinusoidal Natural Convective Flow of Non-Newtonian Nanoliquid Over a Radiative Vertical Plate in a Saturated Porous Medium

Abstract

The present study explores the free convective of a micropolar nanoliquid flow through a vertical radiative plate in a saturated porous medium. Surface temperature based on streamwise sinusoidal is addressed. The basic PDEs governing the problem are converted into a dimensionless PDE system with proper transformations. The obtained PDE system is solved by applying a new hybrid linearization spectral collocation method (HLSCM). HLSCM is a semi-analytical numerical high order method that results in analytical approximate solutions in η-orientation, and so the solutions are defined overall the η range, not only at grid points. Plots are diagramed to investigate the impacts pertinent emerging parameters on the velocity and temperature distributions. Along with those, the heat transfer rate and drag coefficient are exhibited and debated in detail. It is manifested that the increment in the amplitude of wall temperature and micropolar parameter produces a sufficient increment of the drag coefficient and Nusselt number. Moreover, it is also uncovered that magnifying in temperature ratio elucidates a significant rise in both the drag coefficient and heat transport through a porous medium.

Keywords

• Free convection
• micropolar nanoliquid
• thermal radiation
• porous medium
• semi-analytical numerical methods