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

A. B. Vishalakshi1, U. S. Mahabaleshwar1,*, 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 this Special Issue: Materials and Energy an Updated Image for 2021)

Fluid Dynamics & Materials Processing 2022, 18(5), 1551-1567.


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.


Cite This Article

Vishalakshi, A. B., Mahabaleshwar, U. S., Ganaoui, M. E., Bennacer, R. (2022). Navier Slip and Heat Transfer in a Nanofluid Due to a Stretching/Shrinking Sheet: An Analytical Study. FDMP-Fluid Dynamics & Materials Processing, 18(5), 1551–1567.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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