The Effect of Long-Range Interactions on Development of Thermal Waves in the Radiation-Cooling Dispersed Flow

    Received 17 May 2018; accepted 22 June 2018

    2018, Vol. 14, no. 3, pp.  343-354

    Author(s): Safronov A. A., Koroteev A. A., Filatov N. I., Grigoriev A. L.

    The influence of long-range interactions on the progress of heat waves in the radiationcooling disperse flow is considered. It is shown that the system exhibits oscillations attendant on the process of establishing an equilibrium temperature profile. The oscillation amplitude and the rate of oscillation damping are determined. The conditions under which the radiation cooling process can be unstable with respect to temperature field perturbations are revealed. The results of theoretical analysis and numerical calculation of the actual droplet flow are compared.
    Keywords: disperse flows, radiative heat transfer, long-range interactions, instability
    Citation: Safronov A. A., Koroteev A. A., Filatov N. I., Grigoriev A. L., The Effect of Long-Range Interactions on Development of Thermal Waves in the Radiation-Cooling Dispersed Flow, Rus. J. Nonlin. Dyn., 2018, Vol. 14, no. 3, pp.  343-354
    DOI:10.20537/nd180305


    Download File
    PDF, 1.26 Mb

    References

    [1] Demyanko, Yu. G., Konyukhov, G. V., Koroteev, A. S., Kuzmin, E. P., and Pavel'ev, A. A., Nuclear Rocket Engines, Norma-Inform, Moscow, 2001
    [2] Siegel, R., “Separation of Variables Solution for Nonlinear Radiative Cooling”, Int. J. Heat Mass Transf., 30:5 (1987), 959–965  crossref  adsnasa
    [3] Dombrovsky, L. A., Radiation Heat Transfer in Disperse Systems, Begell House, New York, 1996, 690 pp.
    [4] Ohta, K. O., Graf, R. T., and Ishida, H., “Evaluation of Space Radiator Performance by Simulation of Infrared Emission”, Appl. Spectrosc., 42:1 (1988), 114–120  crossref  adsnasa
    [5] Safronov, A. A., “Features of Capillary Breakup of a Liquid Jet at Ohnesorge Numbers Larger Than Unity”, J. Eng. Phys. Thermophys., 90:1 (2017), 167–175  crossref; Inzh.-Fiz. Zh., 90:1 (2017), 176–185 (Russian)
    [6] Koroteev, A. A., Safronov, A. A., and Filatov, N. I., “Influence of the Structure of a Droplet Sheet on the Capacity of Frameless Space Radiators and the Efficiency of the Power Units”, High Temp., 54:5 (2016), 767–770  mathnet  crossref  mathscinet; Teplofiz. Vys. Temp., 54:5 (2016), 817–820 (Russian)  mathscinet
    [7] Zel'dovich, Ya. B. and Raizer, Yu. P., Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Dover, New York, 2002
    [8] Safronov, A. A., Filatov, N. I., Koroteev, A. A., and Bondareva, N. V., “Temperature Stabilization in Dispersed Flows of Frameless Heat Removal Systems in Space”, Thermophys. Aeromech., 24:6 (2017), 957–960  crossref  mathscinet



    Creative Commons License
    This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License