Rajaee Shooshtari, S., Shahsavand, A. (2014). A Theoretical Mass Transfer Approach for Prediction of Droplets Growth Inside Supersonic Laval Nozzle. Journal of Chemical and Petroleum Engineering, 48(1), 57-68. doi: 10.22059/jchpe.2014.5586
Seyed Heydar Rajaee Shooshtari; Akbar Shahsavand. "A Theoretical Mass Transfer Approach for Prediction of Droplets Growth Inside Supersonic Laval Nozzle". Journal of Chemical and Petroleum Engineering, 48, 1, 2014, 57-68. doi: 10.22059/jchpe.2014.5586
Rajaee Shooshtari, S., Shahsavand, A. (2014). 'A Theoretical Mass Transfer Approach for Prediction of Droplets Growth Inside Supersonic Laval Nozzle', Journal of Chemical and Petroleum Engineering, 48(1), pp. 57-68. doi: 10.22059/jchpe.2014.5586
Rajaee Shooshtari, S., Shahsavand, A. A Theoretical Mass Transfer Approach for Prediction of Droplets Growth Inside Supersonic Laval Nozzle. Journal of Chemical and Petroleum Engineering, 2014; 48(1): 57-68. doi: 10.22059/jchpe.2014.5586
A Theoretical Mass Transfer Approach for Prediction of Droplets Growth Inside Supersonic Laval Nozzle
Department of Chemical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Abstract
Proper estimation of droplet growth rate plays a crucial role on appropriate prediction of supersonic separators performance for separation of fine droplets from a gas stream. Up to now, all available researches employ empirical or semi-empirical correlations to define the relationship between droplet growth rate (dr/dt) and other operating variables such as temperatures (T and TL), Pressure (P) and condensation rate (mL). These empirical or semi-empirical equations are developed for pure component systems and should not be extended to binary or multi-components systems. A novel theoretical approach is presented in this article which provides a fundamental equation to find the droplet growth rate by resorting to mass transfer equations. The new model uses a combination of mass transfer equations and mass and energy balances to estimate the droplet growth rate, droplet temperature and condensation rate simultaneously. Although the simulation results indicate that the proposed method provides impressive results when validated with several real experimental data, however, the main advantage of the present approach is that it can be easily extended to binary or multi-components systems. To the best of our knowledge, the proposed approach has not been addressed previously.
[1] Yang, Y. and Shen, Sh. (2009). "Numerical simulation on non-equilibrium spontaneous condensation in supersonic steam flow." Int. Commun. Heat. Mass. Tran., Vol.36, No. 3, pp. 902–907.
[2] Mahpeykar, M.R. and Teymourtash, A.R. (2004). “Effects of friction factor and inlet stagnation conditions on the self-condensation of steam in a supersonic nozzle.” Sci. Iranica, Vol. 11, No. 4, pp. 269-282.
[3] Koo, A. Brooks, G.A. and Nagle, M. (2008). “Nucleation and growth of Mg condensate during supersonic gas quenching.” J. Cryst. Growth, Vol. 310, No.10, pp. 2659–2667.
[4] Guha, A. and Young, J.B. (1991). “Time-marching prediction of unsteady condensation phenomena due to supercritical heat addition.” Proc. conf. on Turbomachinery: Latest Developments in a Changing Scene, London, pp. 167-177.
[5] Cinar, G., Yilbas, B. and Sunar, S. M. (1997). “Study into nucleation of steam during expansion through a nozzle.” Int. J.Multiphas. Flow., Vol. 23, No. 6, pp. 1171-118.
[6] White, A.J. and Hounslow, M.J. (2000). ”Modelling droplet size distributions in poly-dispersed wet-steam flows.” Int. J. Heat. Mass. Tran., Vol.43, No. 11, pp. 1873-1884.
[7] Dykas, S. (2001). “Numerical calculation of the steam condensing flow.” Task quarterly, Vol.5, No.4, pp. 519–535.
[8] Gerber, A.G. and Kermani, M.J. (2004). “A pressure based Eulerian-Eulerian multi-phase model for nonequilibrium condensation in transonic steam flow.” Int. J. Heat. Mass. Tran., Vol.47, No.10, pp. 2217–2231.
[9] Dykas, S. and Wroblewski, W. (2012). “Numerical modelling of steam condensing flow in low and high pressure nozzles.” Int. J. Heat. Mass. Tran., Vol. 55, No. 21, pp. 6191–6199.
[10] Moore, M.J., Walters, P.T., Crane, R.I. and Davidson, B.J. (1973). “Predicting the fog drop size in wet steam turbines”, 4th Wet Steam Conf. Institute of Mechanical Engineers (UK), University of Warwick, pp. C37/73.
[11] Kermani, M.J. and Gerber, A.G. (2003). “A general formula for the evaluation of thermodynamic and aerodynamic losses in nucleating steam flow.” Int. J. Heat. Mass. Tran., Vol.46, No. 17, pp. 3265–3278
[12] Krol, T. (1971). “Results of optical measurements of diameters of drops formed due to condensation of steam in a de Laval nozzle(in polish).” Prace lnstytutu Maszyn Przeplywowych (Trans. Inst. Fluid Flow Machinery), Vol.187, pp. 199
[13] Bakhtar, F. and Mohammadi Tochai, M. T. (1980). “An Investigation of Two-Dimensional Flows of Nucleating and Wet Steam by the Time-Marching Method.” Int. J. Heat. Fluid Flow, Vol.2, No. 1, pp. 5–18
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