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.

Highlights

  • Nowadays, there exists an increasing number of flow devices of various geometrics through which fluids flow

  • No-slip condition holds for fluid whose particles are found near the solid surfaces which fail to move with the flow [1]

  • Discussions of results The main interest of the present work is to examine the influence of Navier slip β, in the presence of the parameters Grashof number G, heat source α, and frequency λ, on the steady natural convective flow and heat transfer of viscous incompressible fluid confined within a spirally enhance channel

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Summary

Introduction

There exists an increasing number of flow devices of various geometrics through which fluids flow.

Results
Conclusion

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