Investigation of the Local Nusselt Number of the Symmetrical Liquid-Liquid Jets Emitting from a Nozzle

Authors

مهندسی شیمی و نفت

Abstract

The aim of this paper is to study the local Nusselt number of the symmetrical liquid-liquid jets emitting from a nozzle. Equations obtained from theoretical works are arranged in the form of a computerized model. The validity of this model was tested by the data from an experimental paper [1]. After few adjustments the model predicted the experimental data with a reasonable accuracy. Making sure of the model acceptable operation the effects of changes of hydrodynamic and thermal parameters on local Nusselt number were investigated which eventually lead to an equation for predicting numerical values of local Nusselt number as a function of liquid jet length.

Keywords


1- Bastani, D. and Memari, M. (2008). ”Experimental investigation Liquid-Liquid Jets and determination of its
hydrodynamic characteristics.” 12th Iranian Chemical Engineering Congress.
2- Fossa, M. (1995). “A simple model to evaluate direct contact heat transfer and flow characteristics in annular
two-phase flow.” Int. J. Heat and Fluid Flow, 16: 272-279.
3- Mitrovic J. and Stephan K. (1996). “Mean fluid temperature in direct contact heat exchangers without phase
change.” Int. J. of Heat and Mass Transfer, 39(13):2245-2750.
4- Shahihi, M. K. and Ozbelge, T. A. (1995). “Direct contact heat transfer between two immiscible liquids
flowing in a horizontal concentric annulus.” Int. J. Multiphase Flow, 21(6):1025-1036.
5- Oh, S., Nguyen, H. D. and Paik, S. (2000). “A legendre-spectral element method for flow and heat transfer
about an accelerating droplet.” Int. J. Numer. Meth. Fluids, 33:59-79.
6- Feng, Z. and Michaelides, E. (2000). “A numerical study on the transient heat transfer from a sphere at high
Reynolds numbers.” Int. J. of Heat and Mass Transfer, 43:219-229.
7- Rider, W. J. and Kothe, D. B. (1998). “Reconstructing volume tracking.” J. of Compt. Physics, 141: 112-152.
8- Scardovelli, R. and Zaleski, S. (1999). “Direct numerical simulation of free-surface and interfacial flow.”
Annu. Rev. Fluid Mech., 3 1:567-603.
9- Tomotika, S. (1935). “On the instability of a cylindrical thread of a viscous liquid surrounded by another
viscous fluid.” Proceedings of the Royal Society of London a 150, 322–337.
10- Rayleigh, J.W.S. (1879). “On the instability of jets.” Proceedings of the London Mathematical Society, 10,
4–13.
11- Kitamura, Y., Mishima, H. and Takahashi, T. (1982). “Stability of jets in liquid–liquid systems.” Canadian
Journal of Chemical Engineering, 60, 723–731. 
12- Teng, H., Kinoshita, C.M. and Masutani, S.M. (1995). “Prediction of droplet size from breakup of
cylindrical liquid jets.” International Journal of Multiphase Flow, 21, 129–136.
13- Das, T.K., (1997a). “Prediction of jet breakup length in liquid–liquid systems using the Rayleigh–Tomotika
analysis.” Atomization and Sprays, 7, 549–559.
14- Bright, A. (1985). “Minimum drop volume in liquid jet breakup.” Chemical Engineering Research and
Design, 63, 59–66.
15- Das, T.K. (1997b). “Prediction of jet breakup length in liquid–liquid systems using the Rayleigh–Tomotika
analysis.” Atomization and Sprays, 7, 549–559.
16- Richards, J.R., Beris, A.N. and Lenhoff, A.M. (1993). “Steady laminar flow of liquid–liquid jets at high
Reynolds numbers.” Physics of Fluids, A 5, 1703–1717.
17- Hirt, C.W., Nichols, B.D. (1981). “Volume of fluid (VOF) method for the dynamics of free boundaries.”
Journal of Computational Physics, 39, 201–225.
18- Skelland, A.H.P. and Johnson, K.R. (1974). “Jet Break-up in Liquid-. Liquid Systems.” Can. J. Chem. Eng.,
52,732-738.
19- Davis, M. R. and Rerkshanandana, P. (1991). “The influence of large eddies on thermal mixing.” Int. J. of
Heat and Mass Transfer, 34(7):1633-1647.
20- Qian, J., Polymeropoulos, C. E., Ulisse, R. (1992). “Liquid jet evolution from a gas chromatographic
injector”. J. of Chromatography, 609:269-276.
21- Storr, G. J. and Behnia, M. (2000). “Comparisons between experiment and numerical simulation using a free
surface technique of free-falling liquid jets.” Experimental Thermal and Fluid Science, 22:79-91.
22- Shunji, H., Jiro, K., Shiro, M., Museok, S. and Grétar, T. (2007). "Breakup mode of an axisymmetric liquid
jet injected into another immiscible liquid.” Chemical Engineering Science, 61, 3986 – 3996
23-Memari, M. and Bastani, D. (2009), “Numerical simulation of axisymmetric jet of dispersion phase to
continue phase form a nozzle.” Iranian Journal Chemical and Chemical Engineering. (submitted)