Electrohydrodynamic‐enhanced internal pipe flows from a One‐Dimensional Turbulence perspective

Abstract

The One‐Dimensional Turbulence (ODT) model is applied for the evaluation of internal pipe flows subject to electrohydrodynamic (EHD) forces. The ODT formulation presented here incorporates the effects of the electrostatic potential energy transfer to the kinetic energy of the flow due to EHD instabilities in the presence of a corona discharge. Results for integral quantities such as the skin friction coefficient Cf and the Nusselt number Nu are obtained from ODT simulations and compared to available experimental data [1,2]. The results demonstrate the capabilities of ODT for simulating EHD flows.

Towards the application of the One‐Dimensional Turbulence model for the evaluation of collection efficiencies in wire‐tube electrostatic precipitators

“…V and E are the flow velocity and the electric field vectors. Unlike in [1,7], M β is no longer close to zero for aerosol particles with low electrical mobility β (and thus, low diffusion coefficient D f and large Sc f ). Under the assumption of a monodisperse aerosol (statistically representative single size particles in the flow), it is possible to solve two versions of Eq.…”

“…Finally, we also comment on possible source or sink terms on the right hand side (RHS) of the particle version of Eq. (1). Examples of such terms could be due to particle charging (for ρ f,p ), or particle coagulation (for ρ p ).…”

“…Examples of such terms could be due to particle charging (for ρ f,p ), or particle coagulation (for ρ p ). The complete deterministic step in ODT also solves mass, momentum and energy PDEs, see [1,7]. The 1-D equivalent version of Eq.…”

“…Details concerning the simulation results and the comparison to [3] are in preparation and will be published elsewhere. Despite potential shortcomings, the model has already been applied to particle-free EHD flows, and has shown reasonable accuracy for the evaluation of integral quantities [1,7]. This is already an achievement considering the scarce literature and numerical reported data on the subject, as well as the scale resolved physics inherent of the ODT model.…”