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Slip flow between corotating disks with heat transfer

Mustafa Turkyilmazoglu (Department of Mathematics, Hacettepe University, Ankara, Türkiye and Department of Medical Research, China Medical University Hospital, Taichung, Taiwan)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 28 November 2024

Issue publication date: 27 January 2025

57

Abstract

Purpose

This study aims to explore the hydrodynamic and thermal behavior of an incompressible fluid flowing between uniformly corotating disks with finite radii. The narrow gap between the disks necessitates accounting for slip flow in the radial direction, departing from the classic no-slip model.

Design/methodology/approach

The author uses a perturbation approach and derives full analytical approximations to the Navier–Stokes and energy equations up to the second order. Higher-order truncations require significant numerical effort due to the complexity of the resulting expressions.

Findings

For the no-slip case, the momentum solutions perfectly match those found in the literature. The author then demonstrates the convergence of the series solutions with slip for selected specific parameter sets. Finally, the author investigates the impact of both slip and Reynolds number on the velocity field, pressure and temperature field between the inlet and outlet positions.

Originality/value

The key finding is that both factors lead to thinner momentum and thermal boundary layers within the corotating finite disk setup, resulting in cooler disk surfaces.

Keywords

Acknowledgements

Conflict of interest: The author declares no conflict of interest.

Data availability: This manuscript does not report data generation or analysis.

Citation

Turkyilmazoglu, M. (2025), "Slip flow between corotating disks with heat transfer", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 35 No. 1, pp. 257-276. https://doi.org/10.1108/HFF-10-2024-0762

Publisher

:

Emerald Publishing Limited

Copyright © 2024, Emerald Publishing Limited

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