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In nearly every area of fluid mechanics,our understanding limited by is the onset or presence of turbulence. Althoughrecent years have seen a great increase in our physical understanding, a predictive theory of turbulent flow has not yet been established. Aside from certain results that can be derivedthroughdimensional reasoning,it is still not possible to solve from first principles the simplest turbulent flow with the simplest conceivable boundaryconditions. Our continuing inability to makeaccurate, reliable predictions seriously limits the technological advancement aircraft design, design of turbomachinery,combustors, of mixers, and a widevariety of other devices that dependon fluid motion for their operation. Anyone is introduced to the subject of turbulence for the first who time quickly encounters the decompositionof the unsteady flow first proposed by Osborne Reynolds in 1895. Various flow variables are divided into a meanand fluctuating part, and uponsubstitution into the Navier-Stokes equations the result is a systemof equations identical in form to the original system except for convective stress terms, which arise fromaveragingproductsof velocity fluctuations. In order to close the system of equations, a second relation is needed between the convective stresses and the meanvelocity field. Until recently, much theoretical and experimentaleffort wasfocusedon finding relationships that could be applied
Annual Review of Fluid Mechanics – Annual Reviews
Published: Jan 1, 1981
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