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Janus Spectra in Two-Dimensional Flows.

Chien-Chia Liu1, Rory T Cerbus1, Pinaki Chakraborty1

  • 1Fluid Mechanics Unit, Okinawa Institute of Science and Technology Graduate University, Onna-son, Okinawa, Japan 904-0495.

Physical Review Letters
|September 24, 2016
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Summary
This summary is machine-generated.

Turbulent energy spectra exponents (α) in fluid dynamics typically measure as 3. Experiments reveal a new phenomenon, the Janus spectra, where α transitions between 3 and 5/3, suggesting dual turbulent fields.

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Area of Science:

  • Fluid Dynamics
  • Turbulence Research
  • Geophysical Flows

Background:

  • Theoretical exponents for turbulent energy spectra (α) in 2D flows are 3 or 5/3.
  • Experimental measurements downstream of obstacles consistently show α=3.
  • Previous studies have not observed or predicted dual turbulent field dynamics.

Purpose of the Study:

  • To investigate anomalous turbulent energy spectra in soap-film flows downstream of obstacles.
  • To characterize a novel turbulent energy spectra phenomenon termed Janus spectra.
  • To explore the implications of Janus spectra for understanding turbulence and geophysical flows.

Main Methods:

  • Experiments conducted on soap-film flows.
  • Analysis of turbulent energy spectra downstream of obstacles.
  • Measurement of streamwise and transverse fluctuations.

Main Results:

  • Observed a sizable interval where the turbulent energy spectra exponent (α) transitions from 3 to 5/3 for streamwise fluctuations.
  • Transverse fluctuations maintained an exponent (α) of 3.
  • Identified this dual-behavior spectra as the Janus spectra, a previously unobserved phenomenon.

Conclusions:

  • The Janus spectra suggest the concurrent existence of two independent turbulent fields with different dynamics.
  • This finding challenges existing theories of turbulence and energy spectra.
  • Results may provide new insights into atmospheric and geophysical flow dynamics.