The rheological properties of non-Newtonian fluids depend on factors such as viscosity, shear stress, molecular structure, temperature ratio, among others. Understanding the dynamics of these fluids is crucial for accurate and efficient model formulation and prediction. For mixtures with differing diffusivities, models that account for solute-thermal flux interactions at solid boundaries become particularly significant. This study advances the field of mass and heat transfer by comparing the dynamics of two non-Newtonian fluids Eyring–Powell (EP) and Prandtl–Eyring (PE) within the context of solute-thermal flux interactions, radiative-convective heat transfer, and dissipative heating. The analysis employs similarity solution techniques combined with the Spectral Local Linearization Method (SLLM) to evaluate the influence of various control parameters. Key findings reveal that the PE fluid exhibits hydrodynamic dominance in convective flow, while the EP fluid demonstrates superior thermal enhancement. As a modified kinetic liquid, the EP fluid deviates more significantly from Newtonian behavior and exhibits stronger temperature dependency compared to the PE fluid. Notably, the EP fluid shows substantially higher skin friction (increases of 36.53% and 37.02% in the absence of Eckert number Ec and thermal radiation Nr, respectively, and 39% and 38.19% in their presence) compared to the PE fluid. Conversely, the PE fluid demonstrates a higher heat transfer rate, with increases of 12.86% and 12.85% at fixed thermal Biot number (Bi) and Dufour (Df) numbers, respectively. In general, an increase in Df, Nr, and Bi enhances the heat transfer rate, while a higher Ec reduces the Nusselt number for both fluids. Specifically, in the absence of thermal radiation <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2024_715_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="67" /> </InlineMediaObject> <EquationSource Format="TEX">$(Nr = 0)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mi>r</mi> <mo>=</mo> <mn>0</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, the heat transfer coefficient aligns closely with the regular mass transfer rate.

Radiation convection flow of Eyring Powell–Prandtl Eyring nanofluid over a convectively heated surface with thermo-chemical flux interactions

期刊论文
发表日期：

2025年1月15日

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Mojeed T. Akolade,
Amos S. Idowu

摘要

The rheological properties of non-Newtonian fluids depend on factors such as viscosity, shear stress, molecular structure, temperature ratio, among others. Understanding the dynamics of these fluids is crucial for accurate and efficient model formulation and prediction. For mixtures with differing diffusivities, models that account for solute-thermal flux interactions at solid boundaries become particularly significant. This study advances the field of mass and heat transfer by comparing the dynamics of two non-Newtonian fluids Eyring–Powell (EP) and Prandtl–Eyring (PE) within the context of solute-thermal flux interactions, radiative-convective heat transfer, and dissipative heating. The analysis employs similarity solution techniques combined with the Spectral Local Linearization Method (SLLM) to evaluate the influence of various control parameters. Key findings reveal that the PE fluid exhibits hydrodynamic dominance in convective flow, while the EP fluid demonstrates superior thermal enhancement. As a modified kinetic liquid, the EP fluid deviates more significantly from Newtonian behavior and exhibits stronger temperature dependency compared to the PE fluid. Notably, the EP fluid shows substantially higher skin friction (increases of 36.53% and 37.02% in the absence of Eckert number Ec and thermal radiation Nr, respectively, and 39% and 38.19% in their presence) compared to the PE fluid. Conversely, the PE fluid demonstrates a higher heat transfer rate, with increases of 12.86% and 12.85% at fixed thermal Biot number (B_i) and Dufour (D_f) numbers, respectively. In general, an increase in D_f, Nr, and B_i enhances the heat transfer rate, while a higher Ec reduces the Nusselt number for both fluids. Specifically, in the absence of thermal radiation $(Nr = 0)$ $(N r = 0)$ , the heat transfer coefficient aligns closely with the regular mass transfer rate.