A METHOD FOR STABILITY ANALYSIS OF THE NON-LINEAR HEAT AND MASS TRANSFER PROCESSES
Abstract
Many systems with non-linear heat and mass transfer processes might be unstable at certain conditions. Small disturbances might bring out them of their equilibrium state, after which they achieve itself to a new stable state. The method developed here concerns a non-linear analysis of hydrodynamic stability of the systems with intensive heat and mass transfer. It allows the determination of the kinetic energy distribution between the main flow and the disturbance, when the equilibrium value of the disturbance amplitude is determined.
Dates
- Submission Date2004-01-11
- Revision Date2004-03-25
- Acceptance Date2004-03-26
References
- [1] Chr. Boyadjiev, V. N. Babak, Non-Linear Mass Transfer and Hydrodynamic Stability, Elsevier, Amsterdam, 2000, 500 pp.
- [2] R. Betchkov, W. O. Crimminable, Stability of Parallel Flows, Acad. Press, New York, 1967.
- [3] Chr. Boyadjiev, On the mechanism and kinetics of the transport processes in systems with intensive interphase mass transfer. 1. Heat and mass transfer, Int. J. of Heat and Mass Transfer, 43 (2000), pp. 2749-2757.
- [4] Chr. Boyadjiev, On the mechanism and kinetics of the transport processes in systems with intensive interphase mass transfer. 2. Stability, Int. J. of Heat and Mass Transfer,.43 (2000), pp. 2759-2766.
- [5] Chr. Boyadjiev, Comparison between laminar and turbulent heat transfer in a stationary squary duct with transverse or angled rib turbulators, Int. J. of Heat and Mass Transfer, 44 (2001), pp. 1127-1141.
- [6] B. Boyadjiev, Chr. Boyadjiev, On the mechanism and kinetics of the transport processes in systems with intensive interphase mass transfer. 4. Effect of the interface concentration, Int. J. of Heat and Mass Transfer, 44, (2001), pp.2505-2509.
- [7] Chr. Boyadjiev, B. Boyadjiev, On the non-stationary evaporation kinetics. 1. Mathematical model and experimental data, International Journal of Heat and Mass Transfer, 46 (2003), pp. 1679-1685.
- [8] Chr. Boyadjiev , B. Boyadjiev, On the non-stationary evaporation kinetics. 2. Stability, International Journal of Heat and Mass Transfer , 46 (2003), pp. 1687-1692.
- [9] V.V.Dilman, N.N.Kulov, V.A.Lothov, V.A.Kaminski, V.I.Najdenov, On the difference between absorption and desorption rates, Theoritical Fundamentals of Chemical Technology, 32 (1998), 4, pp. 377-387.
- [10] V.V.Dilman, V.A.Lothov, D.I.Vasilevski, , Non-stabillity evaporation rate of immobile liquid layers, Theoritical Fundamentals of Chemical Technology, 35 (2001), 6, pp. 599-602.
- [11] D. D. Joseph, Stability of Floid Motion, Springer ? Verlag, New York , 1976.
- [12] G. Z. Gershuni, E. M. Zhuhovitski, Convective stability in Compressible Liquids, Nauka, Moskow, 1972.
Volume
8,
Issue
1,
Pages95 -105