Effects of Navier slip on a steady flow of an incompressible viscous fluid confined within spirally enhanced channel

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University of Ilorin, Ilorin, Kwara State, Nigeria

Abstract

Investigation of the effect of slip on natural convective flow and heat transfer of a
viscous incompressible fluid confined within a channel made up of a long vertical
wavy wall and a parallel flat wall is carried out in this article. It is assumed that at the
flat wall, there exists the slip condition. The coupled non-linear differential equations
governing the fluid flow subjected to the relevant boundary conditions were
perturbed and the resulting zero- and first-order set of equations were solved, using
Adomian decomposition technique with the MAPLE 18 software. A comparison
between the present study and an earlier one not involving a slip parameter and for
which a different solution technique was used is carried out and the results are
found consistent. The effects of various parameters involved in the problem viz
Grashof number, slip parameter, heat source parameter, and wavelength parameter
on the zero- and first-order temperature profile, velocity profile, skin friction, and
Nusselt number at the walls are presented graphically and discussed quantitatively.

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