Abstract
Nonlinear stability analysis of systems with intensive mass transfer is presented. The stability of laminar boundary layer flows is investigated when a big concentration gradient induces a secondary flow at the solid interface. A self-organized dissipative structure was obtained when the mass transfer was directed from the volume to the solid interface. A stable amplitude of the periodic disturbances was obtained for different wave numbers. This structure is subcritical bifurcation, which intensifies the mass transfer process in the boundary layer flows.
Similar content being viewed by others
References
Boyadjiev, Chr. and Babak, V.N., Non-Linear Mass Transfer and Hydrodynamic Stability, Amsterdam: Elsevier, 2000.
Boyadjiev, Chr. and Vulchanov, N., Influence of the Interphase Mass Transfer on the Rate of Mass Transfer-1.The system “solid-fluid (gas)”, Int. J. Heat Mass Transfer, 1990, vol. 33, pp. 2039–2044.
Boyadjiev, Chr. and Vulchanov, N., Non Linear Mass Transfer in Boundary Layers-1. Asymptotic Theory, Int. J. Heat Mass Transfer, 1988, vol. 31, pp. 795–800.
Vulchanov, N. and Boyadjiev, Chr., Non-Linear Mass Transfer in Boundary Layers-2. Numerical Investigation, Int. J. Heat Mass Transfer, 1988, vol. 31, pp. 801–805.
Vulchanov, N. and Boyadjiev, Chr., Influence of the Interphase Mass Transfer on the Rate of Mass Transfer-2. The system “gas-liquid”, Int. J. Heat Mass Transfer, 1990, vol. 33, pp. 2045–2049.
Sapundzhiev, Ts. and Boyadjiev, Chr., Non-Linear Mass Transfer in Liquid-Liquid Systems, Russ. J. Thermophysics, 1993, vol. 3, pp. 185–198.
Boyadjiev, Chr., Halatchev, I., and Tchavdarov, B., The Linear Stability in Systems with Intensive Mass Transfer-I. Gas (Liquid)-Solid, Int. J. Heat Mass Transfer, 1996, vol. 39, pp. 2571–2580.
Boyadjiev, Chr. and Halatchev, I., The Linear Stability in Systems with Intensive Mass Transfer-II. Gas-Liquid, Int. J. Heat Mass Transfer, 1996, vol. 39, pp. 2581–2585.
Halatchev, I. and Boyadjiev, Chr., The Linear Stability in Systems with Intensive Mass Transfer-III. Liquid-Liquid, Int. J. Heat Mass Transfer, 1996, vol. 39, pp. 2587–2592.
Boyadjiev, Chr. and Halatchev, I., Non-Linear Mass Transfer and Marangoni Effect in Gas-Liquid Systems, Int. J. Heat Mass Transfer, 1998, vol. 41, pp. 197–202.
Boyadjiev, Chr. and Doichinova, M., Non-Linear Mass Transfer and Marangoni Effect, Hung. J. Ind. Chem., 1999, vol. 27, pp. 215–219.
Boyadjiev, Chr., On the Mechanism and Kinetics of the Transport Processes in Systems with Intensive Interphase Mass Transfer. 1. Heat and Mass Transfer, Int. J. Heat and Mass Transfer, 2000, vol. 43, pp. 2749–2757.
Boyadjiev, Chr., On the Mechanism and Kinetics of the Transport Processes in Systems with Intensive Interphase Mass Transfer. 2. Stability, Int. J. Heat and Mass Transfer, 2000, vol. 43, pp. 2759–2766.
Boyadjiev, Chr., On the Mechanism and Kinetics of the Transport Processes in Systems with Intensive Interphase Mass Transfer. 3. Comparative Analysis of the Absorption and Desorption Rates, Int. J. Heat and Mass Transfer, 2001, vol. 44, pp. 1119–1125.
Boyadjiev, B. and Boyadjiev, Chr., On the Mechanism and Kinetics of the Transport Processes in Systems with Intensive Interphase Mass Transfer. 4. Effect of the Interface Concentration, Int. J. Heat and Mass Transfer, 2001, vol. 44, pp. 2505–2509.
Boyadjiev, Chr. and Boyadjiev, B., On the Non-Stationary Evaporation Kinetics. 1. Mathematical Model and Experimental Data, Int. J. Heat Mass Transfer, 2003, vol. 46, pp. 1679–1685.
Boyadjiev, Chr. and Boyadjiev, B., On the Non-Stationary Evaporation Kinetics. 2. Stability, Int. J. Heat Mass Transfer, 2003, vol. 46, pp. 1687–1692.
Boyadjiev, Chr. and Doichinova, M., A Method for Stability Analysis of the Non-Linear Heat and Mass Transfer Processes, Thermal Sci., 2004, vol. 8, pp. 95–105.
Joseph, D.D., Stability of Fluid Motion, New York: Springer-Verlag, 1976.
Gershuni, G.Z. and Zhuhovitski, E.M., Convective Stability in Compressible Liquids, Moscow: Nauka, 1972.
Betchov, R. and Crimminable, W.O., Stability of Parallel Flows, New York: Acad. Press.
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Boyadjiev, C., Doichinova, M. Nonlinear mass transfer and self-organized dissipative structures. J. Engin. Thermophys. 17, 142–150 (2008). https://doi.org/10.1134/S1810232808020070
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1810232808020070