Numerical results are obtained for the isothermal laminar flow of air between a pair of disks attached to and rotating with a hub in a fixed cylindrical enclosure. The presence of radial clearances or “gaps” between the rims of the disks and the curved enclosure wall, and the finite thickness of the disks, are considered in the calculations. The gaps allow time- and circumferentially-dependent axially-directed air flow exchanges between the contiguous inter-disk spaces. As a consequence, axisymmetric calculations of the flow, whether using boundary conditions in the gaps or extended to include the entire flow domain, fail to faithfully reproduce the experimentally measured radial variations of the mean and rms circumferential velocity components in the inter-disk space. Likewise, three-dimensional calculations using the symmetry-plane boundary condition in the gaps also fail to reproduce these variations. In contrast, computationally intensive three-dimensional calculations of the entire flow domain, including the gaps, yield results in very good agreement with the measured mean and rms velocities. These three-dimensional calculations reveal large velocity fluctuations in the gap regions accompanied by corresponding large fluctuations of the inter-disk flow, reflecting a destabilization of the structure and dynamics of the latter by the former. The axisymmetric calculations as well as those using the symmetry-plane condition in the gap are included in this study principally to elucidate their shortcomings in simulating the three-dimensional flows considered; they are not the main goal of the study. Notwithstanding, the physically approximate, full domain axisymmetric calculations yield useful qualitative results. They show that increasing gap size decreases disk surface shear and the associated disk torque coefficient, but at the cost of destabilizing the inter-disk flow. This observation is in agreement with earlier findings and is better understood as the result of the present study.
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September 2002
Technical Papers
Effect of Radial Clearance on the Flow Between Corotating Disks in Fixed Cylindrical Enclosures
Mohammad Al-Shannag,
Mohammad Al-Shannag
Universitat Rovira i Virgili, Department of Chemical Engineering, 43006 Tarragona, Catalonia, Spain
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Joan Herrero,
Joan Herrero
Universitat Rovira i Virgili, Department of Chemical Engineering, 43006 Tarragona, Catalonia, Spain
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Joseph A. C. Humphrey,
Joseph A. C. Humphrey
Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA 22904-4746
11
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Francesc Giralt
Francesc Giralt
Universitat Rovira i Virgili, Department of Chemical Engineering, 43006 Tarragona, Catalonia, Spain
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Mohammad Al-Shannag
Universitat Rovira i Virgili, Department of Chemical Engineering, 43006 Tarragona, Catalonia, Spain
Joan Herrero
Universitat Rovira i Virgili, Department of Chemical Engineering, 43006 Tarragona, Catalonia, Spain
Joseph A. C. Humphrey
11
Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA 22904-4746
Francesc Giralt
Universitat Rovira i Virgili, Department of Chemical Engineering, 43006 Tarragona, Catalonia, Spain
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division August 2, 1999; revised manuscript received February 1, 2002. Associate Editor: U. Ghia.
J. Fluids Eng. Sep 2002, 124(3): 719-727 (9 pages)
Published Online: August 19, 2002
Article history
Received:
August 2, 1999
Revised:
February 1, 2002
Online:
August 19, 2002
Citation
Al-Shannag , M., Herrero, J., Humphrey, J. A. C., and Giralt, F. (August 19, 2002). "Effect of Radial Clearance on the Flow Between Corotating Disks in Fixed Cylindrical Enclosures ." ASME. J. Fluids Eng. September 2002; 124(3): 719–727. https://doi.org/10.1115/1.1487355
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