Impact of viscous and ohmic dissipations on a chemically reactive Darcy–Forchheimer Prandtl nanofluid flow with multiple slips: Non-similar analysis

Abstract

The present analysis aims to compute the non-similar solution of a chemically reactive Prandtl nanofluid across an elongated surface in a permeable medium, with a uniform magnetic field applied perpendicular to the surface. The Buongiorno model is used to study the random motion and thermophoresis of the nanoliquid by considering factors such as viscous dissipation, Joule heating, and multiple slips. By using appropriate transformations and a non-similarity approach, the governing flow equations are scaled down to the second level and numerically analyzed using the MATLAB bvp4c algorithm. The profound effects of the dimensionless parameters are illustrated graphically for the velocity, temperature, and solutal profiles. The impact of drag force, thermal, and solutal transmission at the interface of the deformable sheet are inspected in tabulated form. The results of this study revealed that higher Prandtl and elastic parameters lead to an increase in fluid velocity but a rise in thermal slip parameter results in the opposite behavior. An increase in Hartmann number and porosity parameters upsurges drag force, whereas an increase in the slip parameter reduces it. The research is validated by comparing it to previous studies, and a strong correlation is observed. It is examined that the percentage (%) error with both comparative papers is between −0.0017181 and 0.0006.377 which is almost negligible. Thus, confirming the reliability and precision of the formulated problem.