Contour analysis for entropy generation in stagnation point of EMHD tangent hyperbolic nanofluid over dual stratified porous stretching sheet

Purpose The analysis of stagnation point in non-Newtonian fluid is of considerable interest among the scientific communities; however, very few studies are reported on double-stratified porous mediums. This paper aims to elucidate electromagnetohydrodynamic hyperbolic tangent nanofluid. Thermal and solutal stratification effects are considered and stagnant flow in porous medium adds more intricacy and novelty to the findings, which contribute to understanding specific structural designs of aircraft and transport modelling, groundwater contamination and bio-energy production. Entropy generation analysis adds intensification of heat transfer. Design/methodology/approach Fifth-order Runge–Kutta–Fehlberg method via shooting technique is used to solve highly nonlinear ODEs. Numerical analysis to understand the nature of surface drag force, local Nusselt number and Sherwood number with various parameters are incorporated. Findings Key findings reveal that a temperature and concentration profile diminishes with increasing stratification parameter. Heat transfer rate rises by 17.8% due to the Prandtl number, whereas mass transfer rate increases as 108.5% due to thermophoresis parameter. Furthermore, systems entropy generation reduced by 10.77% while increasing power law index parameter and porous parameter. Originality/value The concept of stratified scenarios represents a significant advancement, appearing across diverse natural and engineering systems such as oceanography, geophysics and environmental science. Minimizing total entropy production is essential for enhancing efficiency and achieving superior outcomes in numerous engineering applications.