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 IJMNTA  Vol.6 No.3 , September 2017
A Unified CFD Based Approach to a Variety of Condensation Processes in a Viscous Turbulent Wet Steam Flow
Abstract: A family of quasi linear mathematical models is presented and calculations made for viscous turbulent wet steam flow with a variety of condensation phenomena. These models can be applied to the analysis of equilibrium condensation, homogeneous (spontaneous) condensation, heterogeneous condensation on extraneous particles, and condensation of charged dispersed phase moving in an electrostatic field. The unified model is represented by coupled systems of gas dynamic equations for viscous turbulent two-phase flow, kinetic and electro-kinetic equations tracing out combined processes of size and charge growth, and electromagnetic field equations described an electric field with an account of self-induced in-part by a moving electrical cluster. The numerical procedure is time marching, monotone, implicit, of second order accuracy by space and time coordinates, and exhibits high resolution shock capturing ability. Viscous flow field calculations made with this procedure reveal significant influence on condensation by the shear boundary layers and wakes. Distributions of cooling rate, droplet radius and parameters of the bulk flow are predicted. Verification of the codes against known experimental data is presented.
Cite this paper: Liberson, A. and Hesler, S. (2017) A Unified CFD Based Approach to a Variety of Condensation Processes in a Viscous Turbulent Wet Steam Flow. International Journal of Modern Nonlinear Theory and Application, 6, 85-97. doi: 10.4236/ijmnta.2017.63008.
References

[1]   Bakhtar, F. (1997) Analysis and Experimental Verification of Condensing Flows with a View to Their Application to the Design of Turbines. Moisture Nucleation in Steam Turbines, EPRI TR-108942, 2-1-2-14.

[2]   Moore, M.J. and Sieverding, C.H. (1997) Two-Phase Steam Flow in Turbines and Separators. Hemisphere Publishing Corporation.

[3]   Ryzhov, Y.A., Pirumov, U.G. and Gorbunov, V.N. (1989) Nonequilibrium Condensation in High Speed Gas Flows. Gordon and Breach Science Publishers.

[4]   Young, J.B. (1997) Wet Steam Research at Cambridge 1980-1995. Moisture Nucleation in Steam Turbines. EPRI TR-108942, 3-1-3-14.

[5]   Wegener, P. (1969) Non Equilibrium Flows. Marcel Dekker, New York.

[6]   Liberson, A.S., Kosolapov, Yu.S., Rieger, N.F. and Hesler, S.H. (1997) Calculation of Three-Dimensional Condensing Flows in Nozzles and Turbine Stages. Moisture Nucleation in Steam Turbines. EPRI TR-10894, 9-1-9-19.

[7]   Kosolapov, Yu.S. and Liberson, A.S. (1997) An Implicit Relaxation Method for Computation of Three Dimensional Steady Flows of Spontaneously Condensing Steam. Computational Mathematics and Mathematical Physics, 37, 739-747.

[8]   Bakhtar, F. and Mahpeykar, M.R. (1997) On the Performance of a Cascade of Turbine Rotor tip Section Blading in Nucleating Steam—Part 3: Theoretical Treatment. Proceedings of the Institution of Mechanical Engineers, 211, Part C, 195-210.
https://doi.org/10.1243/0954406971521773

[9]   Liberson, A.S, Hesler, S. and Closkey, T.Mc. (1998) Inviscid and Viscous Numerical Simulation for Non-Equilibrium Spontaneously Condensing Flows in Steam Turbine Blade Passages. IJPGC Conference Proceedings, 23-26 August 1998, Baltimore, 97-105.

[10]   Schnerr, G.H., Bohning, R., Breitling, T.H.-A. and Jantzen, H.-A. (1992) Compressible Turbulent Boundary Layers with Heat Addition by Homogeneous Condensation. AIAA Journal, 30, 1284-1289.
https://doi.org/10.2514/3.11062

[11]   Kermani, M.J. and Gerber, A.G. (2003) A General Formula for the Evaluation of Thermodynamic and Aerodynamic Losses in Nucleating Steam Flow. International Journal of Heat and Mass Transfer, 46, 3265-3278.
https://doi.org/10.1016/S0017-9310(03)00096-6

[12]   Baldwin, B.S. and Lomax, H. (1978) Thin Layer Approximation and Algebraic Model for Separated Turbulent Flow. American Institute of Aeronautics and Astronautics, Reston, 78-257.

[13]   Hill, P.G. (1996) Condensation of Water during Supersonic Expansion in Nozzles. Journal of Fluid Mechanics, 25, 593-620.
https://doi.org/10.1017/S0022112066000284

[14]   White, H.J. (1963) Industrial Electrostatic Precipitation. Addison-Wesley, Boston.

[15]   Liu, B.H. and Yeh, H.C. (1968) On the Theory of Charging of Aerosol Particles in an Electric Field. Journal of Applied Physics, 39, 1396.
https://doi.org/10.1063/1.1656368

[16]   Liberson, A.S., Sarlashkar, A. and Hesler, S.H. (2006) Throughflow Analysis and Performance Prediction for Axial Steam Turbines Appropriate for All Flow Conditions. Proceedings of Fourth EPRI Steam Turbine Generation Technology Conference, Charlotte, 24-25 July 2006.

[17]   Osher, S. and Chakravarthy, S.R. (1985) A New Class of High Accuracy TVD Schemes for Hyperbolic Conservation Laws. American Institute of Aeronautics and Astronautics, Reston, Article ID: 0363.

[18]   Venkatakrishnan, V., Salas, M.D. and Chakravarthy, S.R. (1998) Barriers and Challenges in Computational Fluid Dynamics. Kluwer Academic Publishers, Dordrecht.
https://doi.org/10.1007/978-94-011-5169-6

[19]   Liberson, A.S., Vahedein, Y.S. and Borkholder, D.A. (2017) Variational Approach of Constructing Reduced Fluid-Structure Interaction Models in Bifurcated Networks. Proceedings of the 2nd World Congress on Momentum, Heat and Mass Transfer, Barselona, 6-8 April 2017, 103.
https://doi.org/10.11159/enfht17.103

[20]   Kosolapov, Y.S. and Liberson, A.S. (1996) An Implicit Relaxation Method for Computation of Two Dimensional Steady Flows of Spontaneously Condensing Steam. Computational Mathematics and Mathematical Physics, 36, 138-151.

[21]   Bakhtar, F., Ebrahimi, M. and Webb, R.A. (1995) On the Performance of a Cascade of Turbine Rotor Tip Section Blading in Nucleating Steam, Part 1: Surface Pressure Distributions. International Journal of Multiphase Flow, 209, 115-124.
https://doi.org/10.1243/pime_proc_1995_209_131_02

[22]   Bakhtar, F., Ebrakhimi, M. and Bamkole, B.O. (1995) On the Performance of a Cascade of Turbine Rotor Tip Section Blading in Nucleating Steam, Part 2: Wake Traverses. International Journal of Multiphase Flow, 209, 169-177.
https://doi.org/10.1243/pime_proc_1995_209_140_02

 
 
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