On the Impact of Temperature and Space Dependent Heat Source/Sink with Richardson Number for the MHD Convection Flow of Nanofluid

The proposed flow phenomena are analyzed based on the exploration of Richardson number on nanofluid flow through a porous medium in conjunction with thermal buoyancy. The electrically conducting liquid, influenced by dissipating and radiating heat, enhances the thermal properties. The novelty arises due to the inclusion of non-uniform heat source/sink characterized by space- and temperature-dependent. Because of the present need for various electronic gadgets, manufacture of industrial products, and physiological flow such as blood flow through the artery, drug delivery process, etc., applying the nanofluid relating to the topic over expanding/contracting surface is vital. The assumption of suitable similarity variables transforms the dimensional form of the proposed model to its non-dimensional form. Further, the computation is carried out for the adequate physical parameters involved in the governing equations with the help of traditional numerical techniques using the built-in code bvp4c in MATLAB. The statistical behavior of these parameters is deliberated briefly in the discussion section. However, the important outcomes of the results are; the nanofluid velocity augments for the increasing Richardson number and the particle concentration of the nanoparticle also favors in enhancing the fluid temperature at all points within the domain. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2024.