Theory of Turbulence

摘要: It is pointed out if there are aspects of the turbulence phenomenon which truly universal, then they should be capable being characterized in terms two parameters e and ν denote constant rate dissipation energy per unit mass kinemetic viscosity respectively these only without reference either to mean square velocity 1 2 > Av or size largest containing eddies. This a slight modification Kolmogoroff's similarity principles as currently formulated. appears that χ=∂ψ(r, t)/∂r, where ψ(r, t)=½ '-μ '') , μ ' '' velocities x-direction (say) at points on x-axis separated by distance r times an interval t apart, can so specified. The require this case, χ form χ≡(e 3 /ν)¼X(r(e/ν ) ¼ t(e/ν) ½ ), X universal function arguments In limit zero viscosity, must have more special χ→ Γ ⅓ σ(t/r ⅔ (ν→0). boundary conditions σ(x) σ=σ 0 (>0) dσ/dx=0 x=0 σ→0 x→∞. shown with premises theory described earlier paper, equation for derived compatible requirements particular ordinary differential σ leads solved. solution found satisfies all problem unique, apart from adjustable scale factors. predicted evolutions vorticity correlations illustrated.