Melting is a physical development that is associated with phase transition of materials (PCM). Melting thermal transport has fascinated researchers because of its immense usage in technological processes. In this paper, a non-similar mathematical model is established for melting aspects in the chemically reactive, radiative flow of magnetized nanofluid. The fluid flow over a vertically heated surface is triggered as a result of its linear stretching and by means of buoyancy forces. The considered setup deals with the melting thermal transport and velocity slip at the surface. The linear buoyancy in the framework of concentration and temperature is accounted for in the x-momentum equation. Frictional heating in view of viscous dissipation is convincing because of large surface velocity. An effective Buongiorno model is employed in the energy and concentration expressions with chemical reaction and magnetic and viscous dissipations. The dimensionless non-similar structure is numerically simulated by adopting local non-similarity via bvp4c. The repercussion of vital numbers on flow, entropy generation, and thermal and mass transport is discussed through graphs and tables. The graphical transport analysis suggests that the increase in buoyancy reduces the fluid flow; however, the implication of increasing velocity slip and magnetic and buoyancy ratio numbers is to enhance the fluid flow. Furthermore, the increasing radiative parameter increases the temperature in the thermal boundary layer. Concentration boundary layer analysis suggests that the impact of the increase in the Schmidt number increases the concentration and the increase in the chemical reaction decreases the concentration. The range of stable solutions for important numbers is obtained. Furthermore, the validity of results is demonstrated by comparing with the existing literature. Comparison between non-similar and local similar approximations has been made. It is finally accomplished that non-similar analysis, contrary to local similar models, is more generic and authentic in convection thermal transport analysis in the existence of buoyancy and viscous dissipation.

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