ABSTRACT
This study explores the dynamics of unsteady squeezing fluid flow and heat transfer between two parallel plates, considering influential factors such as the squeeze number, Hartmann number, Eckert number, Brownian motion, thermophoretic effects, and Schmidt number. To tackle the complex nonlinear differential equations, the Homotopy Perturbation and Akbari–Ganji’s Methods are employed. Through a comparative analysis with existing research, the effectiveness of this approach is confirmed in addressing these phenomena. The findings from this investigation hold the potential for supporting engineers and researchers in advancing theoretical and experimental work with greater efficiency. The developed analysis promises to facilitate faster and more streamlined progress in related studies.
