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A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenTue, 16 Apr 2024 15:29:33 +0000Numerical Simulations of Heat Transfer in Taylor-Couette Flow
https://resolver.caltech.edu/CaltechAUTHORS:20190726-104729403
Authors: {'items': [{'id': 'Kedia-R', 'name': {'family': 'Kedia', 'given': 'R.'}}, {'id': 'Hunt-M-L', 'name': {'family': 'Hunt', 'given': 'M. L.'}, 'orcid': '0000-0001-5592-2334'}, {'id': 'Colonius-T', 'name': {'family': 'Colonius', 'given': 'T.'}, 'orcid': '0000-0003-0326-3909'}]}
Year: 1998
DOI: 10.1115/1.2830066
Numerical simulations have been performed to study the effects of the gravitational and the centrifugal potentials on the stability of heated, incompressible Taylor-Couette flow. The flow is confined between two differentially heated, concentric cylinders, and the inner cylinder is allowed to rotate. The Navier-Stokes equations and the coupled energy equation are solved using a spectral method. To validate the code, comparisons are made with existing linear stability analysis and with experiments. The code is used to calculate the local and average heat transfer coefficients for a fixed Reynolds number (Re = 100) and a range of Grashof numbers. The investigation is primarily restricted to radius ratios 0.5 and 0.7 for fluids with Prandtl number of about 0.7. The variation of the local coefficients of heat transfer on the cylinder surface is investigated, and maps showing different stable states of the flow are presented. Results are also presented in terms of the equivalent conductivity, and show that heat transfer decreases with Grashof number in axisymmetric Taylor vortex flow regime, and increases with Grashof number after the flow becomes nonaxisymmetric.https://authors.library.caltech.eduhttps://authors.library.caltech.edu/records/wh4re-8ma30Transition of Chaotic Flow in a Radially Heated Taylor-Couette System
https://resolver.caltech.edu/CaltechAUTHORS:20190214-124414387
Authors: {'items': [{'id': 'Kedia-R', 'name': {'family': 'Kedia', 'given': 'R.'}}, {'id': 'Hunt-M-L', 'name': {'family': 'Hunt', 'given': 'M. L.'}, 'orcid': '0000-0001-5592-2334'}, {'id': 'Colonius-T', 'name': {'family': 'Colonius', 'given': 'T.'}, 'orcid': '0000-0003-0326-3909'}]}
Year: 1999
DOI: 10.1115/1.2826018
Numerical simulations have been performed to study the stability of heated, incompressible Taylor-Couette flow for a radius ratio of 0.7 and a Prandtl number of 0.7. As Gr is increased, the Taylor cell that has the same direction of circulation as the natural convection current increases in size and the counterrotating cell becomes smaller. The flow remains axisymmetric and the average heat transfer decreases with the increase in Gr. When the cylinder is impulsively heated, the counterrotating cell vanishes and n = 1 spiral is formed for Gr = 1000. This transition marks an increase in the heat transfer due to an increase in the radial velocity component of the fluid. By slowly varying the Grashof number, the simulations demonstrate the existence of a hysteresis loop. Two different stable states with same heat transfer are found to exist at the same Grashof number. A time-delay analysis of the radial velocity and the local heat transfer coefficient time is performed to determine the dimension at two Grashof numbers. For a fixed Reynolds number of 100, the two-dimensional projection of the reconstructed attractor shows a limit cycle for Gr = −1700. The limit cycle behavior disappears at Gr = −2100, and the reconstructed attractor becomes irregular. The attractor dimension increases to about 3.2 from a value of 1 for the limit cycle case; similar values were determined for both the local heat transfer and the local radial velocity, indicating that the dynamics of the temperature variations can be inferred from that of the velocity variations.https://authors.library.caltech.eduhttps://authors.library.caltech.edu/records/tmf91-jbj73