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A New Hypothesis on the Anisotropic Reynolds Stress Tensor

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A New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 120))

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Abstract

In this chapter, a new hypothesis on the anisotropic Reynolds stress tensor has been proposed which is relying on the unification of the generalised Boussinesq hypothesis (1.113) (deformation theory) and the fully Galilean invariant three-dimensional anisotropic similarity hypothesis (4.121) of turbulent velocity fluctuations (similarity theory). The anisotropic modification to the generalised Boussinesq hypothesis (1.113) is in the centre of research interest nowadays [45], however, the hybridisation of the generalised version of the Boussinesq hypothesis [4] and the recently developed anisotropic similarity theory of turbulent velocity fluctuations [8, 9] is still missing from the literature. In other words, the new hypothesis proposed here is an anisotropic modification to the generalised Boussinesq hypothesis (1.113) based on the fully Galilean invariant version of the three-dimensional anisotropic similarity theory of turbulent velocity fluctuations—which is discussed in Chap. 4—in conjunction with the mathematical description of the Reynolds stress tensor (1.54). In addition to this, a possible anisotropic hybrid k-\(\omega \) SST/Stochastic Turbulence Model (STM) closure approach has also been proposed related to the new hypothesis on the anisotropic Reynolds stress tensor in this chapter. Computational engineering simulations is the subject of the second volume of this book.

A person who never made a mistake never tried anything new

—Albert Einstein

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  1. Centre for Computational Engineering Sciences, Cranfield University, Cranfield, Bedfordshire, UK

    László Könözsy

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Könözsy, L. (2019). A New Hypothesis on the Anisotropic Reynolds Stress Tensor. In: A New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows. Fluid Mechanics and Its Applications, vol 120. Springer, Cham. https://doi.org/10.1007/978-3-030-13543-0_5

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  • DOI: https://doi.org/10.1007/978-3-030-13543-0_5

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