Chasnov et al. 1988
Chasnov, J., V.M. Canuto, and R.S. Rogallo, 1988: Turbulence spectrum of a passive temperature field: Results of a numerical simulation. Phys. Fluids, 31, 2065-2067, doi:10.1063/1.867013.
The spectrum of a passive temperature field, G(k), has been determined by a numerical simulation using three kinds of isotropic turbulent velocity fields. For a time independent and Gaussian velocity field, the resulting G(k) has the form G(k) = G0εθε2/3 / χ3k17/3, with G0 = 0.33 ± 0.02 Ko, confirming the prediction of Batchelor, Howells, and Townsend [J. Fluid Mech. 5, 134 (1959)]. For a velocity field developed through the Navier-Stokes equations and the frozen in time, G(k) has the same form as above, but with G0 = 0.39 ± 0.03 Ko. Finally, for a velocity field developed concurrently with the temperature field, G(k) collapses onto the spectrum obtained using a frozen, delevoped velocity field only for high enough values of the conductivity χ. For lower values of χ, the power law behavior of G(k) is less clear.
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Chasnov, J., Canuto, V.M., and Rogallo, R.S.: Turbulence spectrum of a passive temperature field: Results of a numerical simulation, Phys. Fluids, 31, 2065-2067, doi:10.1063/1.867013, 1988.
Chasnov, J., V.M. Canuto, and R.S. Rogallo (1988), Turbulence spectrum of a passive temperature field: Results of a numerical simulation, Phys. Fluids, 31, 2065-2067, doi:10.1063/1.867013.
Chasnov, J., V.M. Canuto, and R.S. Rogallo, 1988: Turbulence spectrum of a passive temperature field: Results of a numerical simulation. Phys. Fluids, 31, 2065-2067, doi:10.1063/1.867013.
Chasnov, J., Canuto, V.M., & Rogallo, R.S. 1988, Phys. Fluids, 31, 2065, doi:10.1063/1.867013.
Chasnov J, Canuto VM, Rogallo RS. Turbulence spectrum of a passive temperature field: Results of a numerical simulation, Phys Fluids 1988;31:2065-2067. doi:10.1063/1.867013.
J. Chasnov, V.M. Canuto, R.S. Rogallo, Phys. Fluids 31, 2065-2067, doi:10.1063/1.867013 (1988).
