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Published in: Experiments in Fluids 3/2012

01-09-2012 | Research Article

Passive and reactive scalar measurements in a transient high-Schmidt-number Rayleigh–Taylor mixing layer

Authors: Arindam Banerjee, Lakshmi Ayyappa Raghu Mutnuri

Published in: Experiments in Fluids | Issue 3/2012

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Abstract

An experimental study of mixing induced by Rayleigh–Taylor (RT) instability at an Atwood number (A t ) ~7.5 × 10−4 and Schmidt number (Sc) ~1,000 has been performed. A new transient experimental facility developed on the working principles of the draw-tank facility at Cambridge (Dalziel et al. in J Fluid Mech, 399:1–48, 1999) has been established and enhanced to observe a higher (2×) Reynolds number regime. Water and brine were used to produce the RT density stratification. The evolution of the instability was studied using passive and reactive scalar techniques and quantified using optical diagnostic methods. The data were combined to estimate local and global mixing metrics representative of the mixing mechanism across the mixing layer. In comparison with parameters reported from analogous experiments, the mixing phenomenon at a high Sc shows a strong dependency on the initial conditions prevailing at the onset of the instability and the evidence of a delay in the mixing transition. Values of global and integral mixing parameters did not reach late-time asymptotic values that have been reported previously from steady-state experiments (Texas A&M Water Channel) and may be attributed to the effect of the barrier pull and the overturning mechanism that is thought to hinder the progress of the mixing layer.

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Literature
go back to reference Banerjee A (2006) Statistically steady measurements of Rayleigh–Taylor mixing in a gas channel. PhD Dissertation, Texas A&M University, College Station, TX Banerjee A (2006) Statistically steady measurements of Rayleigh–Taylor mixing in a gas channel. PhD Dissertation, Texas A&M University, College Station, TX
go back to reference Banerjee A, Andrews MJ (2006) Statistically steady measurements of Rayleigh–Taylor mixing in a gas channel. Phys Fluids 18:035107CrossRef Banerjee A, Andrews MJ (2006) Statistically steady measurements of Rayleigh–Taylor mixing in a gas channel. Phys Fluids 18:035107CrossRef
go back to reference Banerjee A, Andrews MJ (2009) 3-D Simulations to investigate initial condition effects on the growth of Rayleigh–Taylor mixing. Int J Heat Mass Transf 52:3906–3927MATHCrossRef Banerjee A, Andrews MJ (2009) 3-D Simulations to investigate initial condition effects on the growth of Rayleigh–Taylor mixing. Int J Heat Mass Transf 52:3906–3927MATHCrossRef
go back to reference Banerjee A, Kraft WN, Andrews MJ (2010) Detailed measurements of a statistically steady Rayleigh–Taylor mixing layer from small to high Atwood numbers. J Fluid Mech 659:127–190MATHCrossRef Banerjee A, Kraft WN, Andrews MJ (2010) Detailed measurements of a statistically steady Rayleigh–Taylor mixing layer from small to high Atwood numbers. J Fluid Mech 659:127–190MATHCrossRef
go back to reference Benedict LH, Gould RD (1996) Towards better uncertainty estimates for turbulence statistics. Exp Fluids 22:129–136CrossRef Benedict LH, Gould RD (1996) Towards better uncertainty estimates for turbulence statistics. Exp Fluids 22:129–136CrossRef
go back to reference Breidenthal R (1981) Structure in turbulent mixing layers and wakes using a chemical reaction. J Fluid Mech 109:1–24CrossRef Breidenthal R (1981) Structure in turbulent mixing layers and wakes using a chemical reaction. J Fluid Mech 109:1–24CrossRef
go back to reference Brown GL, Roshko A (1974) On density effects and large structure in turbulent mixing layers. J Fluid Mech 64:775–816CrossRef Brown GL, Roshko A (1974) On density effects and large structure in turbulent mixing layers. J Fluid Mech 64:775–816CrossRef
go back to reference Chandrasekhar S (1981) Hydrodynamic and hydromagnetic stability, 2nd edn. Dover Publications, New York Chandrasekhar S (1981) Hydrodynamic and hydromagnetic stability, 2nd edn. Dover Publications, New York
go back to reference Cook AW, Dimotakis PE (2001) Transition stages of Rayleigh–Taylor instability between miscible fluids. J Fluid Mech 443:69–99MATHCrossRef Cook AW, Dimotakis PE (2001) Transition stages of Rayleigh–Taylor instability between miscible fluids. J Fluid Mech 443:69–99MATHCrossRef
go back to reference Dalziel SB, Linden PF, Youngs DL (1999) Self-similarity and internal structure of turbulence induced by Rayleigh–Taylor instability. J Fluid Mech 399:1–48MathSciNetMATHCrossRef Dalziel SB, Linden PF, Youngs DL (1999) Self-similarity and internal structure of turbulence induced by Rayleigh–Taylor instability. J Fluid Mech 399:1–48MathSciNetMATHCrossRef
go back to reference Danckwerts P (1952) The definition and measurement of some characteristics of mixtures. Appl Sci Res 3(4):279–296 Danckwerts P (1952) The definition and measurement of some characteristics of mixtures. Appl Sci Res 3(4):279–296
go back to reference Dimonte G (2004) Dependence of turbulent Rayleigh–Taylor instability on initial perturbations. Phys Rev E 69(5):056305CrossRef Dimonte G (2004) Dependence of turbulent Rayleigh–Taylor instability on initial perturbations. Phys Rev E 69(5):056305CrossRef
go back to reference Green FJ (1990) The Sigma-Aldrich handbook of stains, dyes and indicators. Aldrich Chemical Co., St. Louis Green FJ (1990) The Sigma-Aldrich handbook of stains, dyes and indicators. Aldrich Chemical Co., St. Louis
go back to reference Haan SW (1989) Onset of nonlinear saturation for Rayleigh–Taylor growth in the presence of a full spectrum of modes. Phys Rev A 39:5812–5825CrossRef Haan SW (1989) Onset of nonlinear saturation for Rayleigh–Taylor growth in the presence of a full spectrum of modes. Phys Rev A 39:5812–5825CrossRef
go back to reference Hecht E (2002) Optics, 4th edn. Addison Wesley, Boston Hecht E (2002) Optics, 4th edn. Addison Wesley, Boston
go back to reference Konrad JH (1977) An experimental investigation of mixing in two-dimensional turbulent shear flows with applications to diffusion-limited chemical reactions. PhD Dissertation, California Institute of Technology Konrad JH (1977) An experimental investigation of mixing in two-dimensional turbulent shear flows with applications to diffusion-limited chemical reactions. PhD Dissertation, California Institute of Technology
go back to reference Koochesfahani MM, Dimotakis P (1986) Mixing and chemical reactions in a turbulent liquid mixing layer. J Fluid Mech 170:83–112CrossRef Koochesfahani MM, Dimotakis P (1986) Mixing and chemical reactions in a turbulent liquid mixing layer. J Fluid Mech 170:83–112CrossRef
go back to reference Kraft WN, Banerjee A, Andrews MJ (2009) On hot-wire diagnostics in Rayleigh–Taylor mixing layers. Exp Fluids 47:49–68CrossRef Kraft WN, Banerjee A, Andrews MJ (2009) On hot-wire diagnostics in Rayleigh–Taylor mixing layers. Exp Fluids 47:49–68CrossRef
go back to reference Lane-Serff GF (1993) Investigation of the fractal structure of jets and plumes. J Fluid Mech 249:521–534CrossRef Lane-Serff GF (1993) Investigation of the fractal structure of jets and plumes. J Fluid Mech 249:521–534CrossRef
go back to reference Linden PF, Redondo JM, Youngs DL (1994) Molecular mixing in Rayleigh–Taylor instability. J Fluid Mech 265:97–124CrossRef Linden PF, Redondo JM, Youngs DL (1994) Molecular mixing in Rayleigh–Taylor instability. J Fluid Mech 265:97–124CrossRef
go back to reference Mueschke NJ (2008) Experimental and numerical study of molecular mixing dynamics in Rayleigh–Taylor unstable flows. PhD Dissertation, Texas A&M University, College Station, TX Mueschke NJ (2008) Experimental and numerical study of molecular mixing dynamics in Rayleigh–Taylor unstable flows. PhD Dissertation, Texas A&M University, College Station, TX
go back to reference Mueschke NJ, Schilling O (2009a) Investigation of Rayleigh–Taylor turbulence and mixing using direct numerical simulation with experimentally measured initial conditions. I. Comparison to experimental data. Phys Fluids 21:014106CrossRef Mueschke NJ, Schilling O (2009a) Investigation of Rayleigh–Taylor turbulence and mixing using direct numerical simulation with experimentally measured initial conditions. I. Comparison to experimental data. Phys Fluids 21:014106CrossRef
go back to reference Mueschke NJ, Schilling O (2009b) Investigation of Rayleigh–Taylor turbulence and mixing using direct numerical simulation with experimentally measured initial conditions. II. Dynamics of transitional flow and mixing statistics. Phys Fluids 21:014107CrossRef Mueschke NJ, Schilling O (2009b) Investigation of Rayleigh–Taylor turbulence and mixing using direct numerical simulation with experimentally measured initial conditions. II. Dynamics of transitional flow and mixing statistics. Phys Fluids 21:014107CrossRef
go back to reference Mueschke NJ, Andrews MJ, Schilling O (2006) Experimental characterization of initial conditions and spatio-temporal evolution of a small Atwood Rayleigh–Taylor mixing layer. J Fluid Mech 567:27–63MATHCrossRef Mueschke NJ, Andrews MJ, Schilling O (2006) Experimental characterization of initial conditions and spatio-temporal evolution of a small Atwood Rayleigh–Taylor mixing layer. J Fluid Mech 567:27–63MATHCrossRef
go back to reference Mueschke NJ, Schilling O, Youngs DL, Andrews MJ (2009) Measurements of molecular mixing in a high-Schmidt-number Rayleigh–Taylor mixing layer. J Fluid Mech 632:17–48MATHCrossRef Mueschke NJ, Schilling O, Youngs DL, Andrews MJ (2009) Measurements of molecular mixing in a high-Schmidt-number Rayleigh–Taylor mixing layer. J Fluid Mech 632:17–48MATHCrossRef
go back to reference Mutnuri LAR (2010) Effect of initial conditions on molecular mixing in a high Schmidt-number Rayleigh–Taylor mixing layer. MS Thesis, Missouri University of Science and Technology (formerly University of Missouri, Rolla), Rolla Mutnuri LAR (2010) Effect of initial conditions on molecular mixing in a high Schmidt-number Rayleigh–Taylor mixing layer. MS Thesis, Missouri University of Science and Technology (formerly University of Missouri, Rolla), Rolla
go back to reference Ramaprabhu P, Andrews MJ (2004a) Experimental investigation of Rayleigh–Taylor mixing at small Atwood numbers. J Fluid Mech 502:233–271MATHCrossRef Ramaprabhu P, Andrews MJ (2004a) Experimental investigation of Rayleigh–Taylor mixing at small Atwood numbers. J Fluid Mech 502:233–271MATHCrossRef
go back to reference Ramaprabhu P, Andrews MJ (2004b) On the initialization of Rayleigh–Taylor simulations. Phys Fluids 16:L59–L62CrossRef Ramaprabhu P, Andrews MJ (2004b) On the initialization of Rayleigh–Taylor simulations. Phys Fluids 16:L59–L62CrossRef
go back to reference Rayleigh L (1884) Investigation of the equilibrium of an incompressible heavy fluid of variable density. Proc R Soc Lond 14:170–177 Rayleigh L (1884) Investigation of the equilibrium of an incompressible heavy fluid of variable density. Proc R Soc Lond 14:170–177
go back to reference Ristorcelli JR, Clark TT (2004) Rayleigh–Taylor turbulence: self-similar analysis and direct numerical simulations. J Fluid Mech 507:213–253MathSciNetMATHCrossRef Ristorcelli JR, Clark TT (2004) Rayleigh–Taylor turbulence: self-similar analysis and direct numerical simulations. J Fluid Mech 507:213–253MathSciNetMATHCrossRef
go back to reference Shea JR (1977) A chemical reaction in a turbulent jet. J Fluid Mech 81:317–333CrossRef Shea JR (1977) A chemical reaction in a turbulent jet. J Fluid Mech 81:317–333CrossRef
go back to reference Snider DM, Andrews MJ (1994) Rayleigh–Taylor and shear driven mixing with an unstable thermal stratification. Phys Fluids 6:3324–3334CrossRef Snider DM, Andrews MJ (1994) Rayleigh–Taylor and shear driven mixing with an unstable thermal stratification. Phys Fluids 6:3324–3334CrossRef
go back to reference Taylor GI (1950) The instability of liquid surfaces when accelerated in a direction perpendicular to their planes I. Proc R Soc Lond Series A 201:192–196MATHCrossRef Taylor GI (1950) The instability of liquid surfaces when accelerated in a direction perpendicular to their planes I. Proc R Soc Lond Series A 201:192–196MATHCrossRef
go back to reference Wilson PN (2002) A study of buoyancy and shear driven turbulence within a closed water channel. Texas A&M University, College Station, TX Wilson PN (2002) A study of buoyancy and shear driven turbulence within a closed water channel. Texas A&M University, College Station, TX
go back to reference Wilson PN, Andrews MJ (2002) Spectral measurements of Rayleigh–Taylor mixing at small Atwood number. Phys Fluids A 14:938–945CrossRef Wilson PN, Andrews MJ (2002) Spectral measurements of Rayleigh–Taylor mixing at small Atwood number. Phys Fluids A 14:938–945CrossRef
go back to reference Young YN, Tufo H, Dubey A, Rosner R (2001) On the miscible Rayleigh–Taylor instability: two and three dimensions. J Fluid Mech 447:377–408MATHCrossRef Young YN, Tufo H, Dubey A, Rosner R (2001) On the miscible Rayleigh–Taylor instability: two and three dimensions. J Fluid Mech 447:377–408MATHCrossRef
go back to reference Youngs DL (1984) Numerical simulation of turbulent mixing by Rayleigh–Taylor instability. Physica D 12:32–44CrossRef Youngs DL (1984) Numerical simulation of turbulent mixing by Rayleigh–Taylor instability. Physica D 12:32–44CrossRef
go back to reference Youngs DL (2003) Application of MILES to Rayleigh–Taylor and Richtmyer–Meshkov mixing. Paper presented at the 16th AIAA Computational Fluid Dynamics Conference, Paper No. AIAA 2003-4102, June 2003 Youngs DL (2003) Application of MILES to Rayleigh–Taylor and Richtmyer–Meshkov mixing. Paper presented at the 16th AIAA Computational Fluid Dynamics Conference, Paper No. AIAA 2003-4102, June 2003
go back to reference Zhang S, Schneider P, Collicott SH (1995) Quantitative molecular-mixing measurements using digital processing of absorption images. Exp Fluids 19:319–327 Zhang S, Schneider P, Collicott SH (1995) Quantitative molecular-mixing measurements using digital processing of absorption images. Exp Fluids 19:319–327
Metadata
Title
Passive and reactive scalar measurements in a transient high-Schmidt-number Rayleigh–Taylor mixing layer
Authors
Arindam Banerjee
Lakshmi Ayyappa Raghu Mutnuri
Publication date
01-09-2012
Publisher
Springer-Verlag
Published in
Experiments in Fluids / Issue 3/2012
Print ISSN: 0723-4864
Electronic ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-012-1328-y

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