Universal scaling regimes in rotating fluid turbulence
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作者:
Basu, Abhik
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Saha Inst Nucl Phys, Theory Div, Kolkata 700064, West Bengal, IndiaSaha Inst Nucl Phys, Theory Div, Kolkata 700064, West Bengal, India
Basu, Abhik
[1
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Bhattacharjee, Jayanta K.
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Indian Assoc Cultivat Sci, Dept Theoret Phys, 2A & 2B Raja S C Mullick Rd, Kolkata 700032, West Bengal, IndiaSaha Inst Nucl Phys, Theory Div, Kolkata 700064, West Bengal, India
Bhattacharjee, Jayanta K.
[2
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机构:
[1] Saha Inst Nucl Phys, Theory Div, Kolkata 700064, West Bengal, India
[2] Indian Assoc Cultivat Sci, Dept Theoret Phys, 2A & 2B Raja S C Mullick Rd, Kolkata 700032, West Bengal, India
We analyze the scaling properties of the energy spectra in fully developed incompressible turbulence in forced, rotating fluids in three dimensions (3D), which are believed to be characterized by universal scaling exponents in the inertial range. To elucidate the scaling regimes, we set up a scaling analysis of the 3D Navier-Stokes equation for a rotating fluid that is driven by large-scale external forces. We use scaling arguments to extract the scaling exponents, which characterize the different scaling regimes of the energy spectra. We speculate on the intriguing possibility of two-dimensionalization of 3D rotating turbulence within our scaling theory. Our results can be tested in large-scale simulations and relevant laboratory-based experiments.
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Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England
Univ Paris 06, Inst Henri Poincare, F-75231 Paris 5, FranceUniv Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England
Nazarenko, Sergei V.
Schekochihin, Alexander A.
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Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England
Univ Paris 06, Inst Henri Poincare, F-75231 Paris 5, FranceUniv Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England
机构:
MIT, Dept Mech Engn, 77 Massachusetts Ave, Cambridge, MA 02139 USA
Texas A&M Univ, Dept Aerosp Engn, College Stn, TX 77843 USAMIT, Dept Mech Engn, 77 Massachusetts Ave, Cambridge, MA 02139 USA
Khurshid, Sualeh
Donzis, Diego A.
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Texas A&M Univ, Dept Aerosp Engn, College Stn, TX 77843 USAMIT, Dept Mech Engn, 77 Massachusetts Ave, Cambridge, MA 02139 USA
Donzis, Diego A.
Sreenivasan, Katepalli R.
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Univ New York, Courant Inst Math Sci New York, Dept Mech & Aerosp Engn, Dept Phys, New York, NY 11201 USAMIT, Dept Mech Engn, 77 Massachusetts Ave, Cambridge, MA 02139 USA