Abstract
The turbulent transportation of mass and energy is of great importance in engineering and natural environment. Classic theories of turbulent transportation of passive scalar in isotropic turbulence have been proposed by Oboukhov[1] and Batchelor[2], etc. However, recent experimental and numerical studies show that intermittence appears in passive scalar fluctuations while the fluid turbulence is isotropic and its PDF is Gaussian[3]–[4]. Therefore it is worth to have detailed study of the transportation of passive scalar in turbulence from either theoretical or practical view. In this paper we focus on the problem of transportation of passive scalar in the inhomogeneous turbulence and take the homogeneous turbulence case as an example for verification. The shearless mixing layer is an ideal case for studying the turbulent transportation process without the influence of the instability mechanism introduced by mean shear. Experimental results of transportation of passive scalar in shearless mixing layer have been provided by Veeravalli and Warhaft (1989)[5] and they are good resources for verification of numerical study. Both direct numerical simulation (DNS) and large eddy simulation (LES) are good choices for better understanding of the mechanism and prediction of quantitative properties in the turbulent transportation. For instance, the entrainment in a decaying shearless mixing layer was studied by Brigg et al.[6] at Reynolds number of 40 based on the Taylor microscale λ and \(q=\sqrt{u_iu_1}\) by use of DNS. For the investigation of turbulent transportation of inhomogeneous passive scalar field, e.g. the concentration and temperature, a line source or sheet source of passive scalar is a good testing case in both homogeneous and inhomogeneous turbulence. Experimental results for the turbulent transportation of a line source in shearless turbulent mixing layer are also available (Veeravalli and Warhaft. 1990)[7]. We applied LES to the investigation of the turbulent transportation of passive scalar in the inhomogeneous turbulence. We found great intermittence of velocity fluctuation in the shearless mixing layer previously[8] and we will disclose that much greater intermittence of passive scalar fluctuations also occurs in the shearless mixing layer. The great intermittence of passive scalar results in the increment of the mean flux of passive scalar, which is important in prediction of the heat and mass transfer in engineering and environment.
A project co-sponsored by CNNSF(19732005). Chinese Ministry of Science and Technology LIAMA and Dassault Aviation
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Zhaoshun, Z., Guang, C.Y., Guixiang, C., Chunxiao, X., Shao, L., Bertoglio, J.P. (1999). Study on Transportation of Passive Scalar in Shearless Minging Layer by Large Eddy Simulation. In: Knight, D., Sakell, L. (eds) Recent Advances in DNS and LES. Fluid Mechanics and its Applications, vol 54. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4513-8_42
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DOI: https://doi.org/10.1007/978-94-011-4513-8_42
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