Eur. Phys. J. Plus (2021) 136: 12
https://doi.org/10.1140/epjp/s13360-020-01006-2

Regular Article

Fully developed forced convective Jeffrey fluid flow through concentric pipes annular duct

National University of Sciences and Technology, 44000, Islamabad, Pakistan

^a fahmed_math@yahoo.com

Received: 17 October 2020
Accepted: 8 December 2020
Published online: 2 January 2021

Abstract

The purpose of present study is to determine the influence of constant pressure gradient on flow and heat transfer rate of Jeffrey fluid through concentric pipes annular sector duct. Finite volume method and strongly implicit procedure are used to simulate the governing system of partial differential equations. The results are estimated both in graphical and tabular forms for different values of the parameters. The favorable results have been observed in the case of friction factor, when we increase the value of ratio of relaxation to retardation times, $\lambda$, however, forced convective heat transfer rate almost remains invariant in the absence of viscous dissipation. With the increase in value of Brinkman number, Br, the effect of viscous dissipation becomes favorable upto 9.64$\%$ on heat transfer rate for higher value of $\lambda$ at ratio of radii, $\widehat{\xi }=0.25$ and apex angle, $\beta =\pi /6$ of the concentric pipes annular sector duct.