Hydrothermal investigation of ionized Darcy-Forchheimer power-law hybrid nanofluid flow considering modified Fourier's law

Abstract

Significance

The study of ionized Darcy-Forchheimer power-law hybrid nanofluid flow has the potential to lead to the creation of more efficient heat transfer systems. This study of modified Fourier's law can aid in understanding the non-Fourier heat conduction effects, allowing for the development of more energy-efficient systems.

Aim

The primary objective of the present investigation is to study the hydrothermal behavior of ionized Darcy-Forchheimer power-law hybrid nanofluid flow, as well as effects of modified Fourier's law on the hybrid nanofluid's heat conduction behavior. Also, effects of ionization and Power-Law Index on hydrothermal behavior of hybrid nanofluid (HNF) have been investigated and a mathematical model capable of accurately predicting the hydrothermal behavior of the hybrid nanofluid has been developed.

Assumption

Under steady-state conditions, the HNF is assumed to be incompressible, laminar, with constant thermal conductivity and negligible radiation effects. It is assumed that the nanoparticles are evenly dispersed throughout base fluid and the porous medium can be described by Darcy-Forchheimer model.

Research methodology

We develop a mathematical model that incorporates the modified Fourier's law and Darcy-Forchheimer model to explain the hydrothermal behavior of ionized Darcy-Forchheimer PLHNF flow. The non-dimensional governing equations are solved numerically by bvp4c solver in MATLAB.

Conclusion

The velocity and temperature profiles are significantly affected by various parameters, and modified Fourier's law has a significant impact on heat conduction behavior in the nanofluid. The main results are that the radial, tangential, and axial velocities diminish from shear thinning to shear thickening for power law nanofluid (PLNF) and power law hybrid nanofluid (PLHNF). Enhanced magnetic field strength controls motion of both PLNF and PLHNF. Further, amplified hall and ion slip parameters enhance the heat transfer rate from the radially stretched surface for both PLNF and PLHNF.