Boundary Condition Modifications of the Suzen-Huang Plasma Actuator Model

Abstract

The accuracy of the Suzen-Huang (S-H) model is improved by altering the boundary condition of the dielectric surface above the lower electrode. For the equation governing the electric field, we introduce a 'dielectric shielding' condition at the same region, which results in a spread of the electric field strength along the dielectric surface. For the equation governing the surface charge density, we introduce boundary conditions that modify the behavior of the charge density variable in the S-H model. The conditions represent a fitting procedure by adding the features of propagation and dissipation in a one-dimensional Fokker-Plank equation. The equation is initiated by a normal distribution function centered at the leading edge of the lower electrode. These modifications improved model results by about 50% when comparing the maximum induced velocity value with experimental results. Furthermore, charge density growth is propagating in a similar manner to that obtained by charge transport models.

Simulations of the linear plasma synthetic jet actuator utilizing a modified Suzen-Huang model

“…In the present work, we extend the investigations made of the L-PSJA by Santhanakrishnan et al 20 in a quiescent medium by utilizing a modified form of the S-H model initially investigated by Ibrahim and Skote. 21 This modified form utilizes a time-varying boundary condition that enables the model to account for drift and diffusion in the electric field and surface charge density. We also performed thrust vectoring simulations which were absent in the work by Santhanakrishnan et al 20 Although time-dependent velocity streamlines and cross-stream distributions at various downstream stations were compared with pulsed experimental results in the study by Santhanakrishnan et al, 20 the present work will focus on the comparisons of steady state centreline velocities.…”

Computational and experimental analysis of flow structures induced by a plasma actuator with burst modulations in quiescent air

“…In the Suzen-Huang body force model (Suzen, et al, 2005), it is necessary to solve two equations to obtain the body force fields, prior to performing the flow control simulations; the maximum induced velocity in their model is in reasonable agreement with the results of particle image velocimetry (PIV) experiments. The boundary condition for this model was modified by Ibrahim and Skote (2011), and the modified model gives a more accurate value for the maximum velocity of the wall jet. This model has been used to compute the flow induced by a linear plasma synthetic jet (Ibrahim and Skote, 2012).…”

Utilizing the L-PSJA for controlling cylindrical wake flow

“…These two variables constitute the Lorentz body force that is inserted into the N-S equation. The fluid and S-H model are described extensively (Ibrahim and Skote, 2011, 2013, 2014. In the present investigation we utilized a modified form of the S-H model, which was shown to yield results comparable with experimental investigations of the L-PSJA in the recent study by Ibrahim and Skote (2012).…”

“…ϕ max is set independently on the upstream (ϕ max1 ) and the downstream (ϕ max2 ) electrode, with ϕ max1 ¼ 20 kV and ϕ max2 varied between 0 and 20 kV. The equations governing the L-PSJAs are solved until τ ¼ 1.0, similar to the previous study done on the SDBD (Ibrahim and Skote, 2011) as well as the single L-PSJA (Ibrahim and Skote, 2012). At τ ¼ 1, the peak voltage of first half cycle is reached.…”