Wire coating technology plays a pivotal role in ensuring the efficiency, safety, and sustainability of mining operations. Its contributions go beyond the surface, impacting various aspects of mining activities, from safety compliance to energy efficiency and environmental responsibility. To attain maximum efficiency in the wire/cable coating process, the foremost concern of any scientists, experts and technologists is to consider the concept of wall shear stress, heat, and mass transfer phenomenon in the interior of dyes. The fundamental requirement of the coating process is to improve the rate of heat transfer. Therefore, the purpose of the current work is to ascertain how suspended nanoparticles influence the phenomenon of heat and mass transfer rate during the post-treatment of the coating process in the presence of third-grade liquid. The Buongiorno model is employed to examine the thermophoresis and Brownian features of nano-liquid. The governing equations are formulated and simplified using suitable non-dimensional parameters. Solutions for the non-linear differential equations are obtained numerically. The outcome of various pertinent parameters on momentum, thermal, and nanoparticle concentration profiles are delineated graphically. Further, regression analysis has been carried out to understand the importance of the correlation between heat transfer rate and flow control parameters.