Nonlinear convective nanofluid flow in an annular region of two concentric cylinders with generalized Fourier law: An application of Hamilton-Crosser nanofluid model

Abstract

The current study focuses on nonlinear convective nanofluid (MoS₂$-$ vacuum pump oil) flow with different shapes in an annular region across coaxial cylinders in a permeable media. At the interface of coaxial cylinders velocity slip and temperature jump conditions are incorporated. The phenomenon of thermal transport is enhanced by amalgamating generalized Fourier law with variable thermal conductivity. The Hamilton-Crosser nanofluid flow model is adopted here. The nonlinear equations that govern the flow are simplified via a similarity transformation. For the numerical solution, the bvp4c algorithm is utilized. Graphical analysis is employed to illustrate how important factors affect the temperature and velocity fields. Computational values of the drag force coefficient and Nusselt number are summarized in tabular form. The study reveals that the velocity field upsurges on enhancing the nonlinear convective and radii ratio parameters. On amplifying the rarefaction and thermal conductivity parameters, the thermal field upsurges. Skin friction coefficient exhibits a decreasing behavior on incrementing the porosity parameter. Heat flux diminishes more rapidly by boosting the concentration of nanoparticles. A considerable correlation is apparent graphically and in tabular form by comparing the results of the current investigation with published studies.

Keywords:

• Concentric cylinders
• generalized Fourier law
• nanofluid
• nonlinear convective flow
• variable thermal conductivity

Authors’ contributions

M.R. supervised and considered the idea; N. S. wrote the manuscript; H.A.S.G. worked on the software; and S. K., helped in editing, and validation.

Disclosure statement

No potential conflict of interest was reported by the authors.