Kolmogorov equations for randomly perturbed generalized Newtonian fluids

Semi-implicit Euler Scheme for Generalized Newtonian Fluids

Rheological behavior of certain non–Newtonian fluids in engineering sciences is often modeled by power law ansatzes with p ≤ 2. So far, existing numerical analysis for local strong solutions study a fully implicit time discretization and find only restricted ranges of admissible p’s for corresponding error estimates [9]; different nonlinear stabilization strategies which allow a corresponding e...

Diffusion of Power in Randomly Perturbed Hamiltonian Partial Differential Equations

Abstract We study the evolution of the energy (mode-power) distribution for a class of randomly perturbed Hamiltonian partial differential equations and derive master equations for the dynamics of the expected power in the discrete modes. In the case where the unperturbed dynamics has only discrete frequencies (finitely or infinitely many) the mode-power distribution is governed by an equation ...

Existence of Periodic Solution for Perturbed Generalized Liénard Equations

Under conditions of Levinson-Smith type, we prove the existence of a τ -periodic solution for the perturbed generalized Liénard equation u′′ + φ(u, u′)u′ + ψ(u) = ω( t τ , u, u′) with periodic forcing term. Also we deduce sufficient condition for existence of a periodic solution for the equation

Heat Transfer of Liquid/ Solid Fluidized Beds for Newtonian and Non-Newtonian Fluids

The excellent performance of fluidized bed heat exchangers is due to the interaction between particles and heat transfer surface and to the mixing effects in the viscous sublayer. In this paper, the results of experimental investigations on heat transfer for a wide range of Newtonian and non-Newtonian (shear-thinning power law) fluids are presented. New design equations have been developed ...

Non-newtonian Fluids