Nanofluids with variable viscosity have shown tremendous potential in the thermal optimization of many industrial systems. They have seen substantial development in energy applications in recent years. Motivated by these considerations, an analysis has been carried out to investigate the nanofluid flow with temperature dependent viscosity and magnetohydrodynamic (MHD) over a stretched surface. Moreover, heat transfer has effectuated for propylene glycol (C 3 H 8 O 2 ) based fluid with nanoparticles silicon dioxide (SiO 2 ), and molybdenum disulfide (MoS 2 ), by heat dissipation and internal heat source/sink. The governing model comprises of non-linear partial differential system (PDE).Suitable transformations are executed to convert the governing system into nonsimilar dimensionless form. The transformed non-similar PDEs are estimated by ordinary differential equations (ODEs) with the approximations of local non-similarity (LNS) approach. Numerical simulations are performed using computational algorithm bvp4c. The key findings include that significance of distinct physical parameters on fluid flow and thermal transport which are revealed through graphs and tables. It is noted that by upsurging magnetic parameter, velocity of fluid reduces while temperature profile enhances. Moreover, velocity profile lessens by enlarging temperature dependent viscosity parameter.Enhancement in nanoparticles fraction upsurges the temperature and velocity profiles. Rising estimations of the Brinkman number, Biot number, and heat generation parameter uplift the temperature profile. Furthermore, a comparison is designed to check the accuracy of applied approach with existing literature. The range of various physical parameters are also calculated. INTRODUCTIONNanofluids have gained prominence in recent decades due to the wide range of practical applications, including solar energy, heat exchangers, regulation of heat transfer and fluid flow in thermofluidic systems, and some renewable energy technologies. The term nanofluid was first presented by Choi and Eastman [1]. The fluids like water, oil, propylene glycol, and engine oil, etc., having poor thermal conductivities can be enhanced with nanoparticle-fluid mixture which help to improve the thermal transport features of fluids [2][3][4]. Wang and Mujumdar [5] discussed about the recent advances
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