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1 Acta Mechanica et Automatica

1 2025

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Dual thermal analysis of fractional convective flow through aluminum oxide and titanium dioxide nanoparticles

Ali Qasim, Alassar Rajai S., Abro Irfan. A, Abro Kashif. A.

Acta Mechanica et Automatica

2025

Vol. 19, no. 1

32--43

Dual assessing for thermal analysis via nanoparticles (aluminium oxide and titanium dioxide) and base fluids (water and blood) for mixed convection flows over an inclined plate is studied. The governing equations have been developed through fractional formats by exploiting modern definitions of CF (based on exponential function having no singularity) and AB (having non-singular and non-local kernel) fractional derivatives. This is an important theoretical and practical research that models the movement of heat in materials of various scales and heterogeneous media. The solution to the problem is achieved through Laplace transform with slip boundary and magnetic field. To explain the physical perception of fractional models, the dual fractional solutions of velocity field and temperature distribution are derived by comparing non-singularity and non-locality. The fractional solutions through numerical methods namely Stehfest and Tzou’s have been invoked. The embedded thermo-dynamical fluctuating parameters have been traced out for the better performance of heat transfer. The results of temperature as well as velocity suggested decaying trends in characterization with rapid thermal analysis.