Direct Numerical Simulation of Rotating Cavity Flows Using a Spectral Element-Fourier Method

Pitz, Diogo B., Chew, John W., Marxen, Olaf and Hills, Nicholas J. (2017) Direct Numerical Simulation of Rotating Cavity Flows Using a Spectral Element-Fourier Method Journal of Engineering for Gas Turbines and Power: Transactions of the ASME, 139 (7), 072602.

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Abstract

in a rotor/stator cavity without heat transfer and buoyant flow in a rotor/rotor cavity. The numerical tool used employs a spectral element discretisation in two dimensions and a Fourier expansion in the remaining direction, which is periodic and corresponds to the azimuthal coordinate in cylindrical coordinates. The spectral element approximation uses a Galerkin method to discretise the governing equations, but employs high-order polynomials within each element to obtain spectral accuracy. A second-order, semi-implicit, stiffly stable algorithm is used for the time discretisation. Numerical results obtained for the rotor/ stator cavity compare favourably with experimental results for Reynolds numbers up to Re1 = 106 in terms of velocities and Reynolds stresses. The buoyancy-driven flow is simulated using the Boussinesq approximation. Predictions are compared with previous computational and experimental results. Analysis of the present results shows close correspondence to natural convection in a gravitational field and consistency with experimentally observed flow structures in a water-filled rotating annulus. Predicted mean heat transfer levels are higher than the available measurements for an air-filled rotating annulus, but in agreement with correlations for natural convection under gravity.

Item Type:	Article
Subjects :	Mechanical Engineering
Divisions :	Faculty of Engineering and Physical Sciences > Mechanical Engineering Sciences
Authors :	Name Email ORCID Pitz, Diogo B. Chew, John W. J.Chew@surrey.ac.uk Marxen, Olaf o.marxen@surrey.ac.uk Hills, Nicholas J. N.Hills@surrey.ac.uk
Date :	July 2017
DOI :	10.1115/1.4035593
Copyright Disclaimer :	Copyright © 2017 by ASME
Related URLs :	Publisher
Depositing User :	Symplectic Elements
Date Deposited :	28 Oct 2016 07:09
Last Modified :	14 Mar 2019 11:15
URI:	http://epubs.surrey.ac.uk/id/eprint/812647

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