A study on effectiveness of the variational theory in fluid dynamics applications

Abstract

Owing to motivated applications of nanofluids in industrial and technological processes, many novel attempts have been reported by investigators in recent century. The interesting applications subject to the nanomaterials is noted in hybrid-powered engines, solar systems, thermal management, heat exchanger, energy generation, microelectronics etc. This framework presents a Cattaneo-Christov heat flux model for nonlinear convective transport of Walter-B nanofluid due to extending surface. The model is further supported with the non-uniform heat source and activation energy applications. The solutal thermal and mass flux constraints are utilized to inspect the thermal outcomes. The transformation of partial differential system to nonlinear ordinary differential system is carried out with proper conversions. The nonlinear system is analytically tackled with implementation of variational iteration method (VIM). The role of physical parameters appeared in the flow modelling are physical justified.

Keywords

• Walter-B nanofluid
• Cattaneo-Christov heat flux model
• Non-uniform heat source
• Activation energy
• Variational iteration method