Convective heat transfer augmentation through vortex shedding in sinusoidal constricted tube
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 15 May 2009
Abstract
Purpose
The purpose of this paper is to analyse the convective heat transfer of an unsteady pulsed, laminar, incompressible flow in axisymmetric tubes with periodic sections. The flow is supposed to be developing dynamically and thermally from the duct inlet. The wall is heated at constant and uniform temperature.
Design/methodology/approach
The problem is written with classical homogeneous boundary conditions. We use a shift operator to impose non‐homogeneous boundary conditions. Consequently, this method introduces source terms in the Galerkin formulation. The momentum equations and the energy equation which govern this problem are numerically solved in space by a spectral Galerkin method especially oriented to this situation. A Crank‐Nicolson scheme permits the resolution in time.
Findings
From the temperature field, the heat transfer phenomenon is presented, discussed and compared to those obtained in straight cylindrical pipes. This study showed the existence of zones of dead fluid that locally have a negative influence on heat transfer. Substantial modifications of the thermal convective heat transfer are highlighted at the entry and the minimum duct sections.
Practical implications
Pulsated flows in axisymmetric geometries can be applied to medical industries, mechanical engineering and technological processes.
Originality/value
One of the original features of this study is the choice of Chebyshev polynomials basis in both axial and radial directions for spectral methods, combined with the use of a shift operator to satisfy non‐homogeneous boundary conditions.
Keywords
Citation
Batina, J., Batchi, M., Blancher, S., Creff, R. and Amrouche, C. (2009), "Convective heat transfer augmentation through vortex shedding in sinusoidal constricted tube", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 19 No. 3/4, pp. 374-395. https://doi.org/10.1108/09615530910938335
Publisher
:Emerald Group Publishing Limited
Copyright © 2009, Emerald Group Publishing Limited