Numerical analysis of melting heat transfer for radiative and dissipative flow of hybrid nanofluid with entropy optimization

Abstract

Background

This paper investigates the involvement of nanoparticle morphologies on heat transmission and fluid motion through melting heat surfaces, focusing on the optimization of heat transfer in stagnation point flows by examining the interplay between non-linear thermal radiation and melting points.

Methods

Two nanoparticles, Fe₃O₄ and MgO, in spherical, cylindrical, and laminar shapes within H₂O base fluids are studied for their relevance to heating and cooling industries, such as petrochemicals, nuclear reactors, and liquid chromatography. The study addresses melting heat conditions, partial velocity slip, and the role of the melting effect on heat transport properties, while also considering the magnetic influence on hybrid nanofluids with varying densities using the Roseland approximation.

Significant findings

Through similarity transformations, partial differential equations are simplified into ordinary differential equations, and the Akbari-Ganji approach validates numerical results, revealing the interactions of momentum, energy, and concentration. The findings show that laminar-shaped MgO − Fe₃O₄/H₂O significantly enhances the temperature profile Θ(ξ) with increasing concentrations φ₁,φ₂, due to superior thermal conductivity, which also raises the velocity profile. The hybrid nanofluid outperforms others, with higher Brinkman numbers and radiation reducing system irreversibility, and resulting in minimal entropy production compared to single nanofluids.