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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 brief literature review has been carried out considering those contributions which are aligned with the objectives of the present book. Since, there are thousands of works dealing with internal and external turbulent flows, therefore, we consider a selection of those contributions which are relevant to the understanding of the new hypothesis on the anisotropic Reynolds stress tensor in Chap. 5. For the sake of completeness, the governing equations of incompressible turbulent flows have been derived in conjunction with the generalised Boussinesq hypothesis on the Reynolds stress tensor. Intermediate mathematical steps are included in the derivations to make graduate and postgraduate students familiar with the heart of the closure problem of anisotropic turbulence. The shortcomings of the generalised Boussinesq hypothesis have also been discussed to emphasise the necessity of a new hypothesis on the Reynolds stress tensor.

Many engineers to-day may consider the problem of turbulence merely as an interesting chapter of mathematical physics. They may be right. However, they should remember that if we meet a practical question in aerodynamic design which we are unable to answer, the reason that we are unable to give a definite answer is almost certainly that it involves turbulence

—Theodore von Kármán, 1937

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

    László Könözsy

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Könözsy, L. (2019). Introduction. 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_1

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