Spectra of thermally stratified turbulent flow with no shear

Article English OPEN
Panchev, S. ; Syrakov, D. (2011)

In this paper a new analytical approximation, concerning the integral ??k?WT(p) dp in the spectral equations (3), (4) is suggested. It is based on the physical idea about natural realization of the degree of interaction between the mean and fluctuating fields and is analytically expressed by the formulae (10, (12) and (13). In the extreme cases of strong and weak interaction the general expression (13) has (11) as its asymptotes. The system of spectral equations (14), (15) is solved numerically and the result is presented in the figure. It is seen that in case of stable stratification, a general inertial range exists, in the middle of which a buoyancy subrange appears with slopes of the spectral curves as shown in the figure. The results eliminate the so far unresolved contradiction between the theories of Bolgiano and Lumley. Shur and agree well with the experimental data.DOI: 10.1111/j.2153-3490.1971.tb00597.x
  • References (15)
    15 references, page 1 of 2

    Bolgiano, R. 1959. Turbulence spectra in a stably stratified atmosphere. J. Geophys. Res. 64, 2226­ 2229.

    Gissina, F. A. 1966. On the influence of mean velocity and temperature gradients on spectral characteristics of turbulence. Izv. A NSSSR, Atmosph. and Oceanic Phys. 2, 804-813.

    Gissina, F. A. 1969. Spectral characteristics of turbulence in the thermally stratified atmosphere. lzv. ANSSSR, Atmosph. and OceanicPhys. 5,247-257.

    Kesic, D. M. 1969. Spectra of turbulent energy and scalar fields in isotropic and shear turbulence. Ph.D. Disssrtation, Colorado State Univ., Fort Collins, Colorado.

    Lin, J. T. 1969. Turbulence spectra in the buoyancy subrange of thermally stratified shear flows. Ph.D. Dissertation, Colorado State Univ., Fort Collins, Colorado.

    Lumley, J. L. 1964. The spectrum of nearly inertial turbulence in a stably stratified fluid. J. Atm. Sci. 21, 99-102.

    Lumley, J. L. 1965. Theoretical aspects of research on turbulence in stratified flows. "Atmospheric Turbulence and Radio Wave Propagation" (Coll. in Moscow), Nauka, Moscow, 1967, pp. 105­ 110.

    Monin, A. S. 1962. On the turbulence spectrum in a thermally stratified atmosphere. lzv. ANSSSR, Geophya. Ser., No.3, 397-407.

    Monin, A. S. 1965. On the influence of temperature stratification upon turbulence. "Atmospheric Turbulence and Radio Wave Propagation" (ColI. in Moscow), Nauka, Moscow, 1967, pp. 113­ 119.

    Phillips, O. M. 1965. On the Bolgiano and LumleyShuI' theories of the buoyancy subrange. "Atmospheric Turbulence and Radio Wave Propagation" (Coll. in Moscow), Nauka, Moscow, 1967, pp. 121-128.

  • Metrics
    No metrics available
Share - Bookmark