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Turbulence

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The Pi-Theorem

Part of the book series: Experimental Fluid Mechanics ((FLUID,volume 1))

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Abstract

The turbulence represents itself a very complicated hydrodynamic phenomenon characterized by irregular unsteady fluid motion. It emerges in liquid and gas flows at sufficiently high Reynolds numbers when laminar flow regime becomes unstable and strongly perturbed. This process is accompanied by arising turbulent eddies of different sizes which are, in their turn, sources of velocity disturbances at each point of the flow field. The amplitudes and frequencies of such disturbances depend on the Reynolds number value.

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Notes

  1. 1.

    Strictly speaking, (8.58) should be written as: \( dP/dx = f(u,{d_{{ef}}},\mu, \rho, {k_s},{a_1},{a_2} \cdot \cdot \cdot {a_i}),\;where\;{a_1},{a_2} \cdot \cdot \cdot {a_i} \) are the parameters characterizing the shape and distribution of rough elements on the surface.

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Authors and Affiliations

  1. Dept. of Mechanical Engineering Technion City, Technion-Israel Institute of Technology, 32000, Haifa, Israel

    L. P. Yarin

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Yarin, L.P. (2012). Turbulence. In: The Pi-Theorem. Experimental Fluid Mechanics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19565-5_8

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  • DOI: https://doi.org/10.1007/978-3-642-19565-5_8

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