Magnetic field effects on non-Newtonian NEPCM in A-shaped cavity: an integrated study using ANN and ISPH method

Non-Newtonian NEPCMs are utilized in a variety of fields, counting solar energy storage, electronics cooling, polymer processing, and industrial thermal management. Their advanced heat transfer capabilities and efficient energy storage properties make them particularly valuable for these applications. This study explores how magnetic fields affect mass and heat transfer in a non-Newtonian NEPCM within an A-shaped cavity. The investigation employs the ISPH technique and ANN model. Within the A-shaped cavity, a triangular region is kept at \(\left({T}_{c}, {C}_{c}\right)\). The top/center walls of the A-shaped cavity are maintained at \(\left({T}_{h}, {C}_{h}\right)\). The ANN model serves as a valuable complement to ISPH simulations, accurately predicting average Nusselt (\(\overline{Nu }\)) and Sherwood (\(\overline{Sh }\)) numbers. Results indicate a substantial increase in the Π strength by \(138.46\%\) when the power-law index (\(n\)) rises from \(1.025 \text{to } 1.12\). The current configuration of an A-shaped cavity with specific boundary conditions significantly influences the effectiveness of the relevant parameters.