Analysis of variable electrical conductivity with viscosity and thermal conductivity on triple diffusive flow over surface with stratification phenomena via Lie group scaling

The primary objective of the study is to inspect the variations in heat and mass transfer within a conductive, hydromagnetic flow exhibiting triple-diffusive characteristics. This research explores the influence of heat generation, Joule’s heating, and viscous dissipation by using the Boussinesq approximation on free convective MHD flow, examining the collective effect of Soret and Dufour phenomena. The study also took thermal and solutal stratification into consideration and handled in a unique way the impacts of varying electrical conductivity, variable thermal conductivity and variable viscosity. The altered system of partial differential equation is selected under the RK shooting technique for solution, and the transformation known as the Lie group is used to obtain symmetry reductions of that system. Graphical representation illustrates the impact of various factors, such as Lewis number, magnetic parameter, buoyancy ratio parameter, radiation parameters and Eckert, on all profiles. The results indicate that the magnetic field parameter undergoes a fall in the velocity profile in both fluid flow situations. Likewise, similar outcomes were seen in the salt concentration distributions as a result of variations in the buoyancy ratio factors. Increasing values of [Formula: see text] and [Formula: see text] cause a significant reduction in the skin friction coefficient, corresponding to less surface drag in fluid flow. The Nusselt number decreases with increasing [Formula: see text], indicating a decrease in heat transfer rate. With an increase in [Formula: see text] from 0.1 to 0.9, the Nusselt number drops around 83.33% when it comes to assisting flow. Under opposing flow, the Nusselt number declines by 50% as [Formula: see text] increases.