Enhanced Nanofluid Dynamics and Heat Transfer with Brownian Motion, Chemical Reaction, and Thermophoresis at Stagnation Point

The goal of this work is to examine the MHD flow and heat transfer of a nanofluid through a stretchable surface nearby a stagnation point along with thermal conductivity of variable nature. The thermal behaviour of the suspended nanoparticles is discovered to be significantly influenced by the Brownian motion. The impact of the chemical reaction and the constant internal heat source/sink are also taken into account. The mathematical model governing the flow, heat and mass transfer, is first non-dimensionalized through the similarity transformations and then converted in to a system of first order differential equations to be tackled numerically by the shooting method with the help of MATLAB. The numerical results are bolstered by the use of the built-in MATLAB function bvp4c and found in a convincing agreement with those computed by the shooting method. In addition to this validation, the numerical results of some published papers on similar type of models, are reproduced by using the same code. The numerical results are estimated for different values of the physical parameters involved in the flow problem. These results are displayed in both the graphical and tabular form. Such type of models are significant for the development of various applications such as batteries, heat-resistant materials, improvement of cooling systems for electronics, efficient energy storage, advanced heat exchangers in industrial processes, enhanced drug delivery method etc. In particular the Brownian motion, heat generation and chemical reactions play a crucial role in controlling heat transfer process.