Abstract

The purpose of this research is to scrutinize thermally charged heated bi-phase nanofluid flow in elongated parallel slippery walls governed by an external pressure gradient. The couple stress flow of nanofluid is subject to suspension with nano-sized metallic particles. The interaction effects of a transverse magnetic field have been taken into account. The lubrication effects at the walls are considered to avoid the roughness of the walls. Governing nonlinear partial differential equations are reduced to nonlinear ordinary differential equations via similarity transformations, and then the bvph2 algorithm is employed for its solution. The impacts of non-dimensional governing parameters, such as magnetic field, particle density, stress, and slip, on the velocity profile and thermal field curves are exposed graphically. Numerical results were compared with another homotopic approach, and excellent agreement was perceived.

Highlights

  • The purpose of this research is to scrutinize thermally charged heated bi-phase nanofluid flow in elongated parallel slippery walls governed by an external pressure gradient

  • Governing nonlinear partial differential equations are reduced to nonlinear ordinary differential equations via similarity transformations, and the bvph2 algorithm is employed for its solution

  • The fundamental and common category of flow in a channel regularized by applied external pressure is Poiseuille flow

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Summary

INTRODUCTION

The fundamental and common category of flow in a channel regularized by applied external pressure is Poiseuille flow. Siddique et al. made an attempt to investigate the pressure driven Poiseuille flow They added a significant contribution to third-grade fluid flow in parallel plate channels subject to the influence of thermal radiation. In another investigation, distinguished features of Couette–Poiseuille flow, Couette flow, and Poiseuille flow are described and analyzed. Ilani and Ashmawy explored time dependent and incompressible non-Newtonian couple stress fluid motion through an extended long parallel plate channel This flow is regularized by an applied external pressure gradient and due to plate movement. An analytical investigation into radiation effects on an incompressible laminar couple stress flow in a permeable extended channel under the magnetic influence of expanding/contracting plates has been considered by Srinivasacharya et al.. Miola et al. investigated reductant free synthesis of the magnetohydrodynamics plasmonic iron oxide and gold particles

MODELING
NUMERICAL PROCEDURE
NUMERICAL RESULTS AND DISCUSSION
FINAL REMARKS
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