Variation of fluid characteristics in radiated Sutterby fluid flow over a stretched surface exhibiting thermophoretic phenomenon

This research introduces novel theoretical assumptions through the use of a non-Newtonian Sutterby model with variable properties, demonstrating significant advancements in thermal conductivity and diffusivity, which enhance heat and mass transfer in fluids, particularly under magnetic field exposure. The study is notable for its comprehensive examination of the effects of thermal radiation and viscous dissipation within a porous medium. Additionally, it explores the role of suction velocity to provide a deeper understanding of transport phenomena. Following the Darcy hypothesis, the fluid flow is modeled as resulting from the linear stretching of an elastic sheet in a saturated porous medium. The core physical model, comprising equations of mass, motion, concentration, and energy, is transformed into ordinary differential equations using appropriate similarity transformations. Employing the shooting technique, the numerical solution to the problem is obtained. The research uncovers and quantitatively analyzes intriguing physical parameters influencing velocity, concentration, and temperature fields. These parameters are further investigated both numerically and graphically, providing valuable insights into their effects. Quantitative outcomes include enhanced thermal and concentration fields by magnetic field parameter, the porous parameter and the viscosity parameter and improved the rate of mass transfer by both suction and thermophoretic parameters, highlighting the model’s efficacy in optimizing fluid dynamics especially under magnetic fields. The obtained outcomes were juxtaposed with previous studies, revealing a significant level of agreement. •Our study introduces innovative theoretical concepts, utilizing a non-Newtonian model to enhance heat and mass transfer in fluids, especially under magnetic fields.•We thoroughly explore thermal radiation, viscous dissipation, and suction velocity effects in porous media, modeling fluid flow via the Darcy hypothesis.•Converting our model into ordinary differential equations, we employ the shooting method to obtain a numerical solution.•Our analysis reveals key physical parameters affecting fluid dynamics, providing valuable insights and validating our findings against prior research.