Studies of stratified spin-up experiments in enclosed cylinders have reported the presence of small pockets of well-mixed fluids but quantitative measurements of the mixedness of the fluid has been lacking. Previous numerical simulations have not addressed these measurements. Here we present numerical simulations that explain how the combined effect of spin-up and thermal boundary conditions enhances or hinders mixing of a fluid in a cylinder. The energy of the system is characterized by splitting the potential energy into diabatic and adiabatic components, and measurements of efficiency of mixing are based on both, the ratio of dissipation of available potential energy to forcing and variance of temperature. The numerical simulations of the Navier–Stokes equations for the problem with different sets of thermal boundary conditions at the horizontal walls helped shed some light on the physical mechanisms of mixing, for which a clear explanation was absent.
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September 2014
Research Article|
September 15 2014
Mixing in thermally stratified nonlinear spin-up with uniform boundary fluxes
Meline Baghdasarian;
Meline Baghdasarian
1Department of Mechanical Engineering,
California State University
, Los Angeles, Los Angeles, California 90032, USA
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Arturo Pacheco-Vega;
Arturo Pacheco-Vega
1Department of Mechanical Engineering,
California State University
, Los Angeles, Los Angeles, California 90032, USA
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J. Rafael Pacheco;
J. Rafael Pacheco
a)
2
SAP Americas Inc.
, Scottsdale, Arizona 85251, USA
; School of Mathematical and Statistical Sciences, Arizona State University
, Tempe, Arizona 85287, USA
; and Environmental Fluid Dynamics Laboratories, Department of Civil Engineering and Geological Sciences, The University of Notre Dame
, South Bend, Indiana 46556, USA
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Roberto Verzicco
Roberto Verzicco
3Dipartimento di Ingegneria Meccanica,
Universita' di Roma “Tor Vergata”
, Via del Politecnico 1, 00133, Roma, Italy
and PoF, University of Twente
, 7500 AE Enschede, The Netherlands
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Meline Baghdasarian
1
Arturo Pacheco-Vega
1
J. Rafael Pacheco
2,a)
Roberto Verzicco
3
1Department of Mechanical Engineering,
California State University
, Los Angeles, Los Angeles, California 90032, USA
2
SAP Americas Inc.
, Scottsdale, Arizona 85251, USA
; School of Mathematical and Statistical Sciences, Arizona State University
, Tempe, Arizona 85287, USA
; and Environmental Fluid Dynamics Laboratories, Department of Civil Engineering and Geological Sciences, The University of Notre Dame
, South Bend, Indiana 46556, USA
3Dipartimento di Ingegneria Meccanica,
Universita' di Roma “Tor Vergata”
, Via del Politecnico 1, 00133, Roma, Italy
and PoF, University of Twente
, 7500 AE Enschede, The Netherlands
a)
Electronic mail: [email protected]
Physics of Fluids 26, 096602 (2014)
Article history
Received:
December 16 2013
Accepted:
August 27 2014
Citation
Meline Baghdasarian, Arturo Pacheco-Vega, J. Rafael Pacheco, Roberto Verzicco; Mixing in thermally stratified nonlinear spin-up with uniform boundary fluxes. Physics of Fluids 1 September 2014; 26 (9): 096602. https://doi.org/10.1063/1.4895435
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