A numerical frame work of magnetically driven Powell-Eyring nanofluid using single phase model.

Area of Science:

• Fluid Dynamics
• Heat Transfer
• Nanotechnology

Background:

• Understanding heat transfer and entropy generation is crucial for optimizing thermal systems.
• Nanofluids offer enhanced thermal properties compared to conventional fluids.
• Powell-Eyring fluid models non-Newtonian fluid behavior.

Purpose of the Study:

• To investigate heat transfer and entropy generation of Powell-Eyring nanofluid over a linearly expanding non-uniform medium.
• To analyze the influence of various parameters like magnetic field, porous medium, and radiative flux.
• To compare the performance of Copper-methanol (Cu-MeOH) and Graphene oxide-methanol (GO-MeOH) nanofluids.

Main Methods:

• Mathematical modeling of the flow phenomenon using partial-differential equations (PDEs).
• Numerical solutions obtained via the Keller-box technique after transforming PDEs into ordinary-differential equations (ODEs).
• Similarity transformations applied for simplification.

Main Results:

• Powell-Eyring nanofluids exhibit steadily increasing thermal conductivity compared to classical liquids.
• Entropy generation escalates with increased nanoparticle volume fraction, material parameters, and thermal radiation.
• Nanoparticle shape factor significantly impacts entropy rate, especially for GO-MeOH nanofluid.

Conclusions:

• The study provides valuable insights into heat transfer and entropy generation mechanisms in nanofluids under specific flow conditions.
• Nanofluid properties, including thermal conductivity and entropy generation, are significantly influenced by various physical parameters.
• The findings are relevant for designing and optimizing thermal management systems utilizing nanofluids.