Abstract
A theory of the pressure-scalar-gradient correlations is further developed. In an earlier paper the Navier-Stokes and scalar-trans- port equations were formally solved to obtain nonlinear expressions for the fluctuating parts of the pressure and the scalar. Four components of the pressure-scalar-gradient correlation were identified, and the term in the mean scalar gradient was modelled in terms of known variables. The problem of modelling the turbulence part is now addressed. For isotropic turbulence, a fourth-order cumulant discard approximation allows this contribution to be expressed in terms of single-point double products and spectra of the turbulent energy and scalar flux. Numerical calculations are made for assumed spectrum shapes. The results agree well with new experimental data.
This work was supported by Grant No. GR/B83674 from the Science and Engineering Research Council.
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© 1992 Springer-Verlag New York, Inc.
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Dakos, T., Gibson, M.M. (1992). The Turbulence Contribution to the Pressure Term in the Scalar-Flux Equations. 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_39
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DOI: https://doi.org/10.1007/978-1-4612-2792-2_39
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