Viscoelastic Flow Analysis with Buongiorno Nanofluid Model over a Nonlinear Stretching Sheet: A Homotopy Approach

Viscoelastic nanofluid flow has drawn substantial interest due to its industrial uses, including research and testing of medical devices, lubrication and tribology, drug delivery systems, and environmental remediation. This work studies nanofluid flow over a viscoelastic boundary layer, focusing on mass and heat transmission. An analysis is performed on the flow traversing a porous sheet undergoing nonlinear stretching. It assesses the consequences of viscous dissipation and thermal radiation. The scientific nanofluid framework laid out by Buongiorno has been exploited. The partial differential equations illustrating the phenomena can be transfigured into ordinary differential equations by utilizing appropriate similarity transformations. The simplified equations are unmasked using the Homotopy Analysis Method (HAM), a semi-analytical approach designed to solve nonlinear ordinary and partial differential equations commonly encountered in numerous scientific and engineering disciplines. Calculations are executed to ascertain the numerical solutions related to temperature, concentration, and velocity fields, accompanied by the skin friction coefficient, local Nusselt number, and local Sherwood number. Visualizations of the results are accompanied by pertinent explanations grounded in scientific principles. The temperature distribution and corresponding thermal layer have been enhanced due to radiative and viscous dissipation characteristics. Additionally, it has been noted that a delay in fluid movement results from an improvement in the porous medium parameter and magnetic field values. A falling trend in the Nusselt number is observed as the Eckert and thermophoresis parameters increase. The current numerical results have been effectively validated against previous difficulties.