Abstract
The flow characteristics of an annular swirling liquid jet in a gas medium have been examined by direct solution of the compressible Navier–Stokes equations. A mathematical formulation is developed that is capable of representing the two-phase flow system while the volume of fluid method has been adapted to account for the gas compressibility. The effect of surface tension is captured by a continuum surface force model. Analytical swirling inflow conditions have been derived that enable exact definition of the boundary conditions at the domain inlet. The mathematical formulation is then applied to the computational analysis to achieve a better understanding on the flow physics by providing detailed information on the flow development. Fully 3D parallel direct numerical simulation (DNS) has been performed utilizing 512 processors, and parallelization of the code was based on domain decomposition. The numerical results show the existence of a recirculation zone further down the nozzle exit. Enhanced and sudden liquid dispersion is observed in the cross-streamwise direction with vortical structures developing at downstream locations due to Kelvin–Helmholtz instability. Downstream the flow becomes more energetic, and analysis of the energy spectra shows that the annular gas–liquid two-phase jet has a tendency of transition to turbulence.
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References
Brackbill, J.U., Kothe, D.B., Zemach, C.: A continuum method for modelling surface tension. J. Comput. Phys. 100, 335–354 (1992)
Choi, C.J., Lee, S.Y.: Droplet formation from thin hollow liquid jet with a core air flow. Atom. Sprays 15, 469–487 (2005)
Crowe, C.T.: Multiphase Flow Handbook. Taylor & Francis (2006)
Danaila, I., Boersma, B.J.: Direct numerical simulation of bifurcating jets. Phys. Fluids 26, 2932–2938 (2000)
Del Taglia, C., Blum, L., Gass, J., Ventikos, Y., Poulikakos, D.: Numerical and experimental investigation of an annular jet flow with large blockage. J. Fluids Eng. 126, 375–384 (2004)
Grinstein, F.F., DeVore, C.R.: Dynamics of coherent structures and transition to turbulence in free square jets. Phys. Fluids 8, 1237–1251 (1996)
Gueyffier, D., Li, J., Nadim, A., Scardovelli, R., Zaleski, S.: Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows. J. Comput. Phys. 152, 423–456 (1999)
Hirt, C.W., Nichols, B.D.: Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39, 201–225 (1981)
Hussain, A.K.M.F., Zaman, K.B.M.Q.: The preferred mode of the axisymmetric jet. J. Fluid Mech. 110, 39–71 (1981)
Ibrahim, E.A., McKinney, T.R.: Injection characteristics of non-swirling and swirling annular liquid sheets. Proc. of the IMechE Part C J. Mech. Eng. Sc. 220, 203–214 (2006)
Jiang, X., Luo, K.H.: Direct numerical simulation of the puffing phenomenon of an axisymmetric thermal plume. Theor. and Comput. Fluid Dyn. 14, 55–74 (2000)
Jiang, X., Siamas, G.A.: Direct computation of an annular liquid jet. J. Algorithms Comput. Technology 1, 103–125 (2007)
Jiang, X., Siamas, G.A., Wrobel, L.C.: Analytical equilibrium swirling inflow conditions for Computational Fluid Dynamics. AIAA J. 46, 1015–1019 (2008)
Lasheras, J.C., Villermaux, E., Hopfinger, E.J.: Break-up and atomization of a round water jet by a high-speed annular air jet. J. Fluid Mech. 357, 351–379 (1998)
Lele, S.K.: Compact finite-difference schemes with spectral like resolution. J. Comput. Phys. 103, 16–42 (1992)
Mitchell, B.E., Lele, S.K., Moin, P.: Direct computation of the sound generated by vortex pairing in an axisymmetric jet. J. Fluid Mech. 383, 113–142 (1999)
Pierce, C.D., Moin, P.: Method for generating equilibrium swirling inflow conditions. AIAA J. 36, 1325–1327 (1999)
Ramamurthi, K., Tharakan, T.J.: Flow transition in swirled liquid sheets. AIAA J. 36, 420–427 (1998)
Sheen, H.J., Chen, W.J., Jeng, S.Y.: Recirculation zones of unconfined and confined annular swirling jets. AIAA J. 34, 572–579 (1996)
Siamas, G.A., Jiang, X.: Direct numerical simulation of a liquid sheet in a compressible gas stream in axisymmetric and planar configurations. Theor. Comput. Fluid Dyn. 21, 447–471 (2007)
Siamas, G.A., Jiang, X., Wrobel, L.C.: A numerical study of an annular liquid jet in a compressible gas medium. Int. J. Multiph. Flow. 34, 393–407 (2008)
Thompson, K.W.: Time dependent boundary conditions for hyperbolic systems. J. Comput. Phys. 68, 1–24 (1987)
Williamson, J.H.: Low-storage Runge-Kutta schemes. J. Comput. Phys. 35, 1-24 (1980)
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Siamas, G.A., Jiang, X., Wrobel, L.C. (2009). Parallel Direct Numerical Simulation of an Annular Gas–Liquid Two-Phase Jet with Swirl. In: Parallel Scientific Computing and Optimization. Springer Optimization and Its Applications, vol 27. Springer, New York, NY. https://doi.org/10.1007/978-0-387-09707-7_20
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DOI: https://doi.org/10.1007/978-0-387-09707-7_20
Publisher Name: Springer, New York, NY
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