By D. Brian Spalding
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His work will therefore be discussed in greater detail. ROTTA  derived transport equations for all double velocity correlations and for the length-scale, 25 A two-parameter model of turbulence L, from the Navier-Stokes equations. Rotta's lengthscale is defined as: L = TI ^> quantities and (dU/dy) are uniform across the whole flowfield) at high Reynolds numbers, the transport equation for u'v' reduces to <·> F 2 7 ϊ7=-0 Υϊΐ™. 1) μ 0 where η is the wave number of the turbulence spectrum and F(n) if the spectral distribution of the turbulent kinetic energy.
The smoke which pours from the exhausts of heavy trucks is a result, it may be said, of the engineer's desire to maximize the power of the engine, by using up all the oxygen it induces. But this smoke exacts a heavy price, paid by the public at large; it is a matter of time only before legislation forbids smoke production. The engineer therefore has to find means of increasing the power output without generating smoke. This will necessitate a better understanding and control of the combustion process.
So far, the model has been succesfully applied only to the free jets described above, and, by N G and SPALDING , to simple boundary-layer flows near walls; thus no claim of wider universality can be made. However, the results achieved, which show a realistic behaviour even in such details as the energy balance terms and the length scale, suggest that this model is -close to the truth. Rept. LA-4086 (1969). 15. : Hot-Wire Measurements in a Plane Turbulent J e t . J . of Appl. , Dec. 1965 (1965) p .