Abstract
In an upward cocurrent gas-liquid flow in a vertical tube, the dependence of the pressure gradient on the gas velocity is known to be extremal. At a certain gas velocity w = w 0, the pressure gradient takes the minimal value ϕ = ϕ0. It is also known that stable modes of upward cocurrent flow, which are of the greatest practical importance for adsorption processes, occur at w ≥ w 0. By analyzing a large body of primary experimental data obtained by various researchers over a wide parameter range, corrections are made to a known relation between the pressure gradient and the gas velocity in a column. An algorithm for calculating the pressure loss is developed.
Similar content being viewed by others
REFERENCES
Preobrazhenskii, E.I., Study of the Hydrodynamics and Drying of Air with Sulfuric Acid Solutions in a Two-Phase Upward Cocurrent Flow, Cand. Sci. (Tech.) Dissertation, Moscow: Moscow Inst. Chem. Mach. Build., 1972.
Novozhilov, V.N., Study of Absorption Processes in Contact Sulfuric Acid Production in Cocurrent Fast Equipment, Cand. Sci. (Tech.) Dissertation, Moscow: Moscow Inst. Chem. Mach. Build., 1972.
Gorshkov, A.S., Hydrodynamics and Mass Transfer in the Liquid Phase in an Upward Cocurrent Flow of Thin Liquid Layers, Cand. Sci. (Tech.) Dissertation, Moscow Inst. Chem. Mach. Build., 1970.
Arustamyan, E.S., Study of the Hydrodynamics and Heat Transfer in Upward Annular Gas-Liquid Two-Phase Flows, Cand. Sci. (Tech.) Dissertation, Moscow: Res. Des. Inst. Nitrogen Ind. Prod. Org. Synth., 1970.
Ivanov, M.E., Arustamyan, E.S., and Rustambekov, M.K., Pressure Drop in an Upward Film Gas-Liquid Flow, Khim. Prom-st., 1969, no. 1, pp. 64–67.
Reibakh, M.S., Film Flow Hydrodynamics and Its Application to Designing a Triethoxysilane Synthesis Reactor, Cand. Sci. (Tech.) Dissertation, Moscow: Moscow Inst. Chem. Mach. Build., 1965.
Sinkha, A.P., Rapid Mass Transfer in the Presence of Surfactants, Cand. Sci. (Tech.) Dissertation, Moscow: Moscow Inst. Chem. Mach. Build., 1961.
Roi, D.K., Study of the Kinetics of the Interaction of Sulfur Dioxide with Water under Rapid Mass-Transfer Conditions, Cand. Sci. (Tech.) Dissertation, Moscow: Moscow Inst. Chem. Mach. Build., 1963.
Semenov, P.A., Liquid Flow in Thin Layers, Zh. Tekh. Fiz., 1944, vol. 14, nos.7–8, pp. 427–437.
Solov’ev A.V., Preobrazhenskii E.I., and Semenov P.A., Hydraulic Resistance in a Two-Phase Flow, Khim. Prom-st., 1966, no. 8, pp. 41–44.
Novozhilov, V.N., Optimal Gas Velocity in an Upward Cocurrent Flow, Khim. Prom-st., 1998, no. 2, pp. 49–55.
Novozhilov, V.N., Minimal Pressure Gradient in an Upward Cocurrent Flow, Khim. Prom-st’., 1998, no. 3, pp. 36–41.
Novozhilov, V.N., Method for Calculating the Pressure Gradient in the Upward Cocurrent Flow of a Gas and a Liquid Film at Low Reflux Density, Teor. Osn. Khim. Tekhnol., 1989, vol. 23, no.2, pp. 269–272.
Zabrudskii, V.T., Study of Hydrodynamic Features of an Upward Two-Phase Flow, Cand. Sci. (Tech.) Dissertation, Moscow: Inst. New Chem. Probl., 1977.
Handbook of Multiphase Systems, Hetsroni, G., Ed., Washington: Hemisphere, 1982, ch. 2, pp. 2–64.
Wallis, G.B., One-Dimensional Two-Phase Flow, New York: McGraw-Hill, 1969. Translated under the title Odnomernye dvukhfaznye techeniya, Moscow: Mir, 1972.
Novozhilov, V.N., On Certain Characteristics of the Film Flow of Liquid, Teor. Osn. Khim. Tekhnol., 1994, vol. 28, no.6, pp. 600–604 [Theor. Found. Chem. Eng. (Engl. Transl.), vol. 28, no. 6, pp. 539–543].
Novozhilov, V.N., Zakaryan, S.V., and Parfenova, T.L., Calculation of the Operating Parameters of Film Apparatuses at the Minimal Pressure Losses, Khim. Neft. Mashinostr., 1978, no. 11, pp. 20–21.
Novozhilov, V.N., Zhalyaletdinova, R.A., and Mikhailov, G.V., Method for Calculating the Optimal Gas Velocity in Fast Film Absorbers, Promyshlennost’ mineral’nykh udobrenii i sernoi kisloty (Production of Mineral Fertilizers and Sulfuric Acid), Moscow: NIITEKhIM, 1981, no. 5, pp. 9–11.
Novozhilov, V.N. and Nekrasov, B.V., Hydraulic Resistance in Air Drying with Sulfuric Acid in Film Tubular Apparatuses with an Upward Cocurrent Flow, Issledovaniya v oblasti proizvodstva sernoi kisloty. Tr. NIUIF (Studies in Sulfuric Acid Production: Proc. Res. Inst. Fertilizers Insectofungicides), 1975, issue 225, pp. 105–115.
Novozhilov, V.N. and Gorshkov, A.S., Pressure Losses in Short Tubes with Upward Concurrent Flow, Teor. Osn. Khim. Tekhnol., 1994, vol. 28, no.2, pp. 171–175 [Theor. Found. Chem. Eng. (Engl. Transl.), vol. 28, no. 2, pp.150–154].
Novozhilov, V.N. and Zolotarev, N.E., Heat Transfer in Heating of an Oil Film in an Upward Flow, Tr. III Minskogo mezhdunar. foruma “Teplomassoobmen-MMF-96” (Proc. III Minsk Int. Forum “Heat and Mass Transfer-96”), vol. 4: Teplomassoobmen v dvukhfaznykh siste-makh (Heat and Mass Transfer in Two-Phase Systems), Minsk, May 20–24, 1996, Akad. Nauch. Kompleks “Inst. Teplo-i Massoobmena im. A.V. Lykova” Nats. Akad. Nauk Belarusi, 1996, pp. 32–35.
Novozhilov, V.N. and Zolotarev, N.E., Calculation of Hydrodynamic Parameters in Tubular Apparatuses with Upward Cocurrent Flow, Khim. Tekhnol. Topl. Masel, 1985, no. 9, pp. 26–28.
Author information
Authors and Affiliations
Additional information
__________
Translated from Teoreticheskie Osnovy Khimicheskoi Tekhnologii, Vol. 39, No. 3, 2005, pp. 319–326.
Original Russian Text Copyright © 2005 by Novozhilov, Kutepov.
Rights and permissions
About this article
Cite this article
Novozhilov, V.N., Kutepov, A.M. Method for Calculating Pressure Losses in an Upward Cocurrent Flow. Theor Found Chem Eng 39, 299–306 (2005). https://doi.org/10.1007/s11236-005-0078-4
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11236-005-0078-4