Purpose This paper aims to numerically solve fully developed laminar flow in trapezoidal ducts with rounded corners which result following forming processes. Design/methodology/approach A two-dimensional model for a duct is and conservation of momentum equation solved. The assumed be steady, developed, laminar, isothermal incompressible. key characteristics including the Poiseuille number incre...

We explore a possible application of the additive generalization of the BoltzmannGibbs-Shannon entropy proposed in [A. N. Gorban, I. V. Karlin, Phys. Rev. E, 67:016104 (2003)] to fully developed turbulence. The predicted probability distribution functions are compared with those obtained from Tsallis’ entropy and with experimental data. Consequences of the existence of hidden subsystems are ill...

2014 This paper gives a self contained review of some recent progress of the statistical theory of fully developed turbulence. The emphasis is on both analogies and differences with Hamiltonian statistical mechanics, in particular critical phenomena. The method of spectral equations, which plays to a certain extent the role of a mean field theory, is discussed in detail. It is here viewed as a ...