Effect of Nanoparticle Diameter in Maxwell Nanofluid Flow with Thermophoretic Particle Deposition

The time-dependent Maxwell nanofluid flow with thermophoretic particle deposition is examined in this study by considering the solid–liquid interfacial layer and nanoparticle diameter. governing partial differential equations are reduced to ordinary using suitable similarity transformations. Later, these solved Runge–Kutta–Fehlberg’s fourth fifth-order method via a shooting approach. An artificial neural network serves as surrogate model, making quick precise predictions about behaviour of for various input parameters. impact dimensionless parameters on flow, heat, mass transport determined graphs. results reveal that velocity profile drops an upsurge unsteadiness parameter values Deborah number values. rise space temperature-dependent heat source/sink value increases temperature. concentration decreases upsurges. Finally, method’s correctness stability confirmed fact maximum near zero-line error. zero error attained 2.68×10−6, 2.14×10−9, 8.5×10−7 velocity, thermal, profiles, respectively.