TY - JOUR

T1 - Turbulence is an Ineffective Mixer when Schmidt Numbers Are Large

AU - Buaria, Dhawal

AU - Clay, Matthew P.

AU - Sreenivasan, Katepalli R.

AU - Yeung, P. K.

N1 - Funding Information:
We thank Kartik Iyer and Jörg Schumacher for useful discussions and Kiran Ravikumar for providing the data point used in Fig. . This research used resources of the Oak Ridge Leadership Computing Facility (OLCF), which is a Department of Energy (DOE) Office of Science user facility supported under Contract No. DE-AC05-00OR22725. We acknowledge the use of advanced computing resources at the OLCF under 2017 and 2018 INCITE Awards. Parts of the data analyzed in this work were obtained through National Science Foundation (NSF) Grant No. ACI-1036170, using resources of the Blue Waters sustained petascale computing project, which was supported by the NSF (Awards No. OCI-725070 and No. ACI-1238993) and the State of Illinois. D. B. also gratefully acknowledges the Gauss Centre for Supercomputing e.V. for providing computing time on the supercomputer JUWELS at Jülich Supercomputing Centre, where simulations were performed.
Publisher Copyright:
©=2D⟨|∇θ|2

PY - 2021/2/19

Y1 - 2021/2/19

N2 - We solve the advection-diffusion equation for a stochastically stationary passive scalar θ, in conjunction with forced 3D Navier-Stokes equations, using direct numerical simulations in periodic domains of various sizes, the largest being 81923. The Taylor-scale Reynolds number varies in the range 140-650 and the Schmidt number Scν/D in the range 1-512, where ν is the kinematic viscosity of the fluid and D is the molecular diffusivity of θ. Our results show that turbulence becomes an ineffective mixer when Sc is large. First, the mean scalar dissipation rate ⟨χ

AB - We solve the advection-diffusion equation for a stochastically stationary passive scalar θ, in conjunction with forced 3D Navier-Stokes equations, using direct numerical simulations in periodic domains of various sizes, the largest being 81923. The Taylor-scale Reynolds number varies in the range 140-650 and the Schmidt number Scν/D in the range 1-512, where ν is the kinematic viscosity of the fluid and D is the molecular diffusivity of θ. Our results show that turbulence becomes an ineffective mixer when Sc is large. First, the mean scalar dissipation rate ⟨χ

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U2 - 10.1103/PhysRevLett.126.074501

DO - 10.1103/PhysRevLett.126.074501

M3 - Article

C2 - 33666462

AN - SCOPUS:85102406648

VL - 126

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 7

M1 - 074501

ER -