Abstract
The semiempirical theories of passive admixture diffusion in the thermally stratified atmospheric surface layer are developed on the basis of second-order closures. Four different models of equations for the second-order moments including concentration fluctuation are investigated. All these models lead to gradient transport hypotheses corresponding to specific forms of the eddy-diffusivity tensor Kij = Kij(z). The dependence of dimensionless eddy diffusivities kij= Kij(z)/KM(z) (where KM(z) = u2 */ [dU/dz] is the vertical eddy viscosity) on the dimensionless height ΞΆ = z/L (where L is the Obukhov length) is determined for all the considered second-order closures.
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References
Berlyand, M. E., 1975, Modern Problems of Atmospheric Diffusion and Air Pollution, Gidrometeoizdat, Leningrad. (Engl, transl. by USA Environment Protection Agency, Raleigh, NC, 1976.)
Businger, J. A., 1984, βEquations and concepts,β Atmospheric Turbulence and Air Pollution Modelling (E. T. M. Nieuwstadt, H. van Dop, eds.), 1β36, Reidel, Dordrecht
Corrsin, S., 1974, βLimitations of gradient transport models in random walks and in turbulenceβ Adv. Geophys. 18A25β60
Gibson, M. M., Launder, B. E., 1978, βGround effects on pressure fluctuations in the atmospheric boundary layer,β J. Fluid Mech. 86, 491β511
Jaffe, S., 1967, βA three-layer diffusion model as applied to unstable atmospheric conditions,β J. Appl. Meteor. 6, 297β302
Kader, B. A. and Yaglom, A. M., 1990, βMean fields and fluctuation moments in unstably stratified turbulent boundary layersβ J. Fluid Mech. 212, 637 β 662
Launder, B. E., 1975, βOn the effect of gravitational field on the turbulent transport of heat and momentum,β J. Fluid Mech. 67, 569 β 581
Launder, B. E., 1978, βHeat and mass transferβ Turbulence (Topics in Applied Physics, Vol. 12; P. Bradshaw, ed.), 231β287, Springer, Berlin
Launder, B. E., Reece, G. L., and Rodi, W., 1975, βProgress in the development of a Reynolds-stress turbulence closure,β J. Fluid Mech. 68, 537 β 566
Lewellen, W. C., 1977, βUse of invariant modeling,β Handbook of Turbulence. Volume 1: Fundamentals and Applications (W. Frost, T. H. Moulden, eds.), 237β280, Plenum, NY
Lewellen, W. C. and Teske, M., 1978, βSecond-order closure modeling of diffusion in the atmospheric boundary layer,β Boundary-Layer Meteor. 10, 69 β 90
Lumley, J. L., 1978a, βComputational modeling of turbulent flows,β Adv. Appl. Mech. 18, 123 β 176
Lumley, J. L., 1978b, βSimulating turbulent transport in urban air-pollution models,β Advances in Environmental Sciences and Engineering 1 (J. R. Pfafflin, E. N. Zeigler, eds.), 103-127, Gordon and Breach, NY
Lumley, J. L., 1983, βTurbulence modeling,β J. Appl. Mech. 50, 1097 β 1103
Lumley, J. L., Khajeh-Nouri, 1974, βComputational modeling of turbulent transport,β Adv. Geophys. 18A, 169β192
Lumley, J. L. and Mansfield, P., 1984, βSecond order modeling of turbulent transport in the surface mixed layer,β Boundary- Layer Meteor. 30, 109 β 142
Lumley, J. L., Van Cruyningen, I., 1985, βLimitations of second order modeling of passive scalar diffusion,βFrontiers in Fluid Mechanics (S. H. Davis, J. L. Lumley, eds.), 199β218, Springer, Berlin
Mellor, G. and Yamada, T., 1974, βA hierarchy of turbulence closure models for planetary boundary layers,β J. Atmos. Sci. 31, 1791 β 1806.
Mellor, G. and Yamada, T., 1982, βDevelopment of a turbulent closure model for geophysical fluid problems,β Rev. Geophys. Space Phys. 20, 851 β 875
Monin, A. S., Yaglom, A. M., 1971, Statistical Fluid Mechanics, Volume 1, MIT Press, Cambridge, MA
Newman, G. R., Launder, B. E., and Lumley, J. L., 1981, βModelling the behaviour of homogeneous scalar turbulence,β J. Fluid Mech. 111, 217 β 232
Panofsky, H. A., Dutton, J. A., 1984, Atmospheric Turbulence. Models and Methods for Engineering Applications, Wiley, NY
Pasquill, F., 1974, Atmospheric Diffusion, 2nd Edition, E. Horwood, Chichester
Reynolds, W. C., 1976, βComputation of turbulent flows,β Ann. Rev. Fluid Mech. 8, 183 β 208
Rodi, W., 1980, βEnvironmental turbulent flows,β Prediction Methods for Turbulent Flows (W. Kollmann, ed.), 259β349, Hemisphere, NY
Rogers, M. M., Mansour, N. N., and Reynolds, W. C., 1989, βAn algebraic model for the turbulent flux of a passive scalar,β J. Fluid Mech. 203, 77 β 101
Sreenivasan, K. R., Tavoularis, S., Corrsin, S., 1982, βA test of gradient transport and its generalizations,β Turbulent Shear Flows 3 (L. J. S. Bradbury et al., eds.), 96β112, Springer, Berlin
Sykes, R. I., Lewellen, W. C., and Parker, S. E., 1986, βA Gaussian plume model of atmospheric dispersion based on second- order closure,β J. Climate Appl. Meteor. 25, 322 β 331
Tavoularis, S. and Corrsin, S., 1981, βExperiments in nearly homogeneous turbulent shear flow with a uniform temperature gradient. Part 1,β J. Fluid Mech. 104, 311 β 347
Tavoularis, S. and Corrsin, S., 1985, βEffects of shear on the turbulent diffusivity tensor,β Intern. J. Heat Mass Transfer 28, 265 β 276
Tsarenko, V. M., 1984, βDispersion of a contaminant cloud in the neutral atmospheric surface layer,β Izv. Akad. Nauk SSSR, Ser. Fiz. Atmos. i Okeana 20,485β494 (463-494 in English transl. of the journal)
Tsarenko, V. M., 1987a, βSemiempirical description of turbulence in the atmospheric surface layer,β Izv. Akad. Nauk SSSR, Ser. Fiz. Atmos. i Okeana 23,470β479 (353-359 in English transl. of the journal)
Tsarenko, V. M., 1987b, βModel calculation of eddy diffusivity tensor in stratified flows,β Izv. Akad. Nauk SSSR, Ser. Fiz. Atmos. i Okeana 23, 1041β1048 (774-779 in English transl. of the journal)
Tsarenko, V. M., 1989, βModel calculations of the Monin-Obukhov universal functions,β Izv. Akad. Nauk SSSR, Ser. Fiz. Atmos. i Okeana 25, 115β124 (87-93 in English transl. of the journal)
Tsarenko, V. M. and Yaglom, A. M., 1991, βSemiempirical theories of turbulence in a neutrally stratified atmospheric surface layer,β Phys. Fluids A (in the press)
Wyngaard, J. C., CotΓ©, O. R., 1971, βThe budgets of turbulent kinetic energy and temperature variance in the atmospheric surface layer,β J. Atmos. Sci. 28, 190β201
Wyngaard, J. C., CotΓ©, O. R., and Izumi, Y., 1971, βLocal free convection, similarity, and the budgets of shear stress and heat flux,β J. Atmos. Sci. 28, 1171 β 1182
Yaglom, A. M., 1974, βData on turbulence characteristics on the atmospheric surface layer,β Izv. Akad. Nauk SSSR, Ser. Fiz. Atmos. i Okeana 10, 566β586 (341-352 in English transl. of the journal)
Yaglom, A. M., 1977, βComments on wind and temperature flux-profile relationships,β Boundary-Layer Meteor. 11, 89 β 102
Zeman, 0., 1981, βProgress in the modeling of planetary boundary layers,β Ann. Rev. Fluid Mech. 13, 253 β 272
Zeman, O., Lumley, J. L., 1979, βBuoyancy effects in turbulent boundary layers: A second order closure study,β Turbulent Shear Flows 1 (F. Durst et al., eds.), 274β295, Springer, Berlin
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Tsarenko, V.M., Yaglom, A.M. (1992). Second-Order Modeling Of Turbulent Diffusion in an Atmospheric Surface Layer. In: Gatski, T.B., Speziale, C.G., Sarkar, S. (eds) Studies in Turbulence. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2792-2_3
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DOI: https://doi.org/10.1007/978-1-4612-2792-2_3
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