Open Access

ARTICLE

Navier Slip and Heat Transfer in a Nanofluid Due to a Stretching/Shrinking Sheet: An Analytical Study

A. B. Vishalakshi¹, U. S. Mahabaleshwar^1,*, M. EL. Ganaoui², R. Bennacer³

1 Department of Mathematics, Shivagangotri, Davangere University, Davangere, 577007, India
2 Institut Universitaire de Technologie de Longwy, Université de Lorraine 186 rue de Lorraine, Cosnes et Romain, 54400, France
3 LMT/ENS-Cachan/CNRS/Université Paris Saclay, Cachan, 94235, France

* Corresponding Author: U. S. Mahabaleshwar. Email:

(This article belongs to the Special Issue: Materials and Energy an Updated Image for 2021)

Fluid Dynamics & Materials Processing 2022, 18(5), 1551-1567. https://doi.org/10.32604/fdmp.2022.021949

Received 15 February 2022; Accepted 07 March 2022; Issue published 27 May 2022

Abstract

This paper is devoted to the analysis of the heat transfer and Navier’s slip effects in a non-Newtonian Jeffrey fluid flowing past a stretching/shrinking sheet. The nanoparticles, namely, Cu and Al₂O₃ are used with a water-based fluid with Prandtl number 6.272. Velocity slip flow is assumed to occur when the characteristic size of the flow system is small or the flow pressure is very small. By using the similarity transformations, the governing nonlinear PDEs are turned into ordinary differential equations (ODE’s). Analytical results are presented and analyzed for various values of physical parameters: Prandtl number, Radiation parameter, stretching/shrinking parameter and mass transpiration for the flow and heat transfer. The considered problem is relevant to various physical applications in the field of engineering, e.g., the production of certain materials, the preparation of plastic and rubber sheets and glass blowing. It is shown that the considered nanofluid increases the thermal efficiency. The nanoparticles act as a heater by increasing the solid volume fraction and thermal radiation. Vice versa, they can act as a cooler if the strength of magnetic field is increased. The flow strength decreases by increasing the values of Deborah number.

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Keywords

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