TITLE:
Two Parameters Lie Group Analysis for the Effect of Brownian Diffusion on Viscoelastic Nanofluid Flow in a Channel with Convective Wall
AUTHORS:
M. Enamul Karim, M. Abdus Samad
KEYWORDS:
Convective Surface, Deborah Number, Elastico-Viscous Fluid, Lie Group Theory, Nanofluid
JOURNAL NAME:
Applied Mathematics,
Vol.16 No.8,
August
22,
2025
ABSTRACT: The current research investigates the heat transfer phenomena of the time-dependent viscoelastic nanofluid stream in a parallel plate channel of a convective stretching wall. The Lie group theory transforms the recent physical configuration into a nonlinear differential system. This scheme is numerically decrypted with the collocation method. The outcomes of several flow controllers are investigated for the motion, energy, and mass diffusion distributions. The impacts of skin friction and the Nusselt number, considering two scenarios, prescribed convective boundary (PCB) and prescribed surface temperature (PST), have been described. And the consequences of the study are illustrated from a substantial point of view. Generally, the PST and PCB peripheral circumstances are very serviceable in automobile engineering appliances. Furthermore, a remarkable consequence of the current investigation is that the nanofluid viscosity enhances with the ongoing growth in the Deborah number, which improves the resistance to motion. And a crosswise flow exists in the channel adjacent to the extending wall.