Influence of magnetic field chemical reaction and Soret-Dufour parameters on Maxwell nanofluid flow over a porous vertical stretching surface-A numerical study

This research aims to examine the influence of magnetic field chemical reaction and Soret-Dufour effects on the flow of a Maxwell nanofluid across a permeable vertical stretching surface. This problem has several real-world applications, most prominently in polymer processing, cooling systems, and industrial efficiency. Biomedical uses include enhanced medication administration and heat therapy for cancer. Thermophoresis and Brownian diffusion are phenomena that arise from the presence of nanoparticles in a base fluid, resulting in concentration and random motion, respectively. Partial differential equations (PDEs) governing the flow and associated boundary conditions could be transformed into a non-dimensional form by determining the relevant similarity variables. The Runge-Kutta-Fehlberg scheme (RK45) of fourth and fifth order is utilized to solve the transformed ordinary differential equations (ODEs) that arise. By converting it to an initial value problem (IVP), the shooting method makes the RKF45 algorithm applicable to solving the boundary value problem (BVP). The outcomes for various governing flow factors are displayed visually, and their implications for temperature, concentration, and velocity distributions are examined. The Drag factor along with the coefficient of heat and mass transfer estimations are exhibited in the tabular form. The most notable findings of this study are that enhancing the Soret and Dufour parameters improves the concentration and temperature profile while increasing the Prandtl number reduces the temperature distribution. Temperature profiles ascend as the Brownian motion, thermophoresis, and Lewis number values increase. Concentration profiles are shown to decrease as the chemical reaction intensifies. An outstanding agreement is observed when the data is compared to previously published data.