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Abstract
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Conjugate heat transfer in non-Newtonian fluids is a fundamental phenomenon in thermal
management systems. This study investigates the combined effects of magnetic field topology, heat absorption/generation, the thermal conductivity ratio, enclosure inclination, and
power-law rheology using the lattice Boltzmann method. The parametric analysis shows
that increasing the heat generation coefficient from −5 to +5 reduces the average Nusselt
number by up to 97% for the pseudo-plastic fluids and up to 29% for the Newtonian fluids,
while entropy generation increases by 44–86% depending on the thermal conductivity ratio.
Increasing the inclination angle from 0◦ to 90◦ weakens convection and reduces heat transfer by nearly 77%. Magnetic field strengthening (Ha = 0–45) decreases the Nusselt number
by 20–55% depending on the barrier temperature. Among all tested conditions, the highest
thermal performance (maximum heat transfer and minimum entropy generation) occurs
when using a pseudo-plastic fluid (n = 0.75), exhibiting high wall conductivity (TCR = 50)
and heat absorption (HAPC = −5), a cold obstacle (θb = 0), and zero inclination (λ = 0◦), as
well as in the absence of the magnetic field effects. These quantitative insights highlight
the controllability of the conjugate heat transfer and irreversibility in the power-law fluids
under coupled magnetothermal conditions.
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