Physics

Nonlinear system

Perturbation (astronomy)

Limiting

Newtonian fluid

Heat transfer

Mechanics

Inclined plane

Engineering

Hagen–Poiseuille equation

Open-channel flow

Computational fluid dynamics

Materials science

Nanofluid

Flow (mathematics)

Quantum mechanics

Mechanical engineering

Fluid dynamics

International Journal of Modelling and Simulation

The present investigation is relevant to the multiphase flow of non-Newtonian fluid passing through the steep channel. Third-grade fluid is taken as the base liquid, while two different types of metallic particles are considered to form nano-suspensions. Two different plane flows are devised based on the development of rigid walls of the inclined channels. A comprehensive apprehension regarding the nonlinear flow dynamics is carried out with the help of a regular perturbation method, which is effectively less time-consuming and more analogous to analytic. Moreover, a comparative analysis depicts complete harmony with the existing literature. In addition, the current study reduces back to the customary nanofluid problem for the limiting case.

Impact of gold and silver nanoparticles in highly viscous flows with different body forces