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The D^2 variation for isolated LOX drops and polydisperse clusters in hydrogen at high temperature and pressures

Harstad, K. and Bellan, J. (2001) The D^2 variation for isolated LOX drops and polydisperse clusters in hydrogen at high temperature and pressures. Combustion and Flame, 124 (4). pp. 535-550. ISSN 0010-2180. doi:10.1016/S0010-2180(00)00217-0.

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A study of the d^2 variation for isolated fluid drops and for fluid drops belonging to polydisperse clusters has been conducted at a high temperature and elevated pressures. The mathematical formulation is based on a previously validated model of subcritical/supercritical isolated fluid drop behavior. Coupled with the isolated drop equations, a set of conservation equations has been developed to describe the global cluster behavior. All these equations are based on the general transport matrix including Soret and Dufour terms and they are consistent with nonequilibrium thermodynamics and at low pressure with kinetic theory. Moreover, the model also accounts for real gas effects through accurate equations of state and for correct values of the transport properties in the high pressure, high temperature regime. The model has been first exercised for isolated LOX drops in H_2 at pressures ranging from 1.5 MPa (subcritical pressure for O_2) to 20 MPa (supercritical pressure for O_2). The results show that while at subcritical pressures the d^2 variation is nearly linear, with increasing pressure it departs considerably from the linear behavior; the largest departure occurs in the vicinity of the oxygen critical point. The slope of d^2(t) was fitted using both a constant and a linear fit, and it was shown that the linear fit provides a better alternative for correlation purposes. Simulations were also conducted for clusters of LOX drops in H_2 in the range 6 to 40 MPa (reduced pressures of 1.2–8 with respect to pure O_2). Parametric studies of the effect of the thermal diffusion factor value reveal that it is minor at 10 MPa and moderate at 40 MPa, and that although the Soret term is dominated by the Fick, Dufour, and Fourier terms, it is not negligible. The influence of a cluster Nusselt number is also shown to be relatively small in the range 10^3 to 10^4, consistent with the supercritical behavior being essentially a diffusive one. All of the results show a nonlinear d^2 variation with curves having a positive curvature independent of the values of the thermal diffusion factor, the Nusselt number or the LOX/H_2 mass ratio. The approximation of a binary size cluster containing relatively a much larger number of small drops by a monodisperse cluster with a drop size based upon the surface average of the drops in the polydisperse cluster yields a good evaluation of the thermodynamic quantities in the interstitial drop region but an underestimate of the lifetime of the drops in the cluster.

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Bellan, J.0000-0001-9218-7017
Additional Information:© 2001 The Combustion Institute. Published by Elsevier Inc. Received 10 February 2000, Revised 23 August 2000, Accepted 6 September 2000, Available online 1 March 2001. This research was conducted at the Jet Propulsion Laboratory under sponsorship from the National Aeronautics and Space Administration, the George W. Marshall Space Fight Center with Klaus W. Gross as technical contract monitor. His continuing interest and support are greatly appreciated.
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Issue or Number:4
Record Number:CaltechAUTHORS:20171019-111811362
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Official Citation:K. Harstad, J. Bellan, The D2 variation for isolated LOX drops and polydisperse clusters in hydrogen at high temperature and pressures, In Combustion and Flame, Volume 124, Issue 4, 2001, Pages 535-550, ISSN 0010-2180, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82499
Deposited By: Tony Diaz
Deposited On:19 Oct 2017 18:27
Last Modified:15 Nov 2021 19:50

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