Formulation of the theory of turbulence in an incompressible fluid

摘要: Abstract The theory of turbulence in an incompressible fluid is formulated using methods similar to those quantum field theory. A systematic perturbation set up, and the terms series are shown be one correspondence with certain diagrams analogous Feynman diagrams. From a study it that can rearranged partially summed such way as reduce problem solution three simultaneous integral equations for functions, which second order velocity correlation function. have form infinite power equations, first few derived from analysis sixth order. Truncation at lowest nontrivial yields Chandrasekhar's equation, truncation higher discussed by Kraichnan.