AIAA-2003-3712
American Institute of Aeronautics and Astronautics
1
Flow Control And Thermal Management Using Dielectric Glow Discharge Concepts
Balaji Jayaraman
1
and Wei Shyy
2
Department of Mechanical and Aerospace Engineering
University of Florida, Gainesville, FL 32611, USA
Abstract
The glow discharge creates a thermal plasma far from
thermodynamic equilibrium, and can be fruitfully
employed for active flow control and thermal
management. In the present study, we investigate a
capacitively coupled radio frequency discharge plasma
generator, where the plasma is generated on the surface
of a dielectric circuit board with electrode strips on the
top and bottom. A recently developed phenomenological
modeling approach is employed to probe force
generation as well as aerodynamics and heat transfer
characteristics. Qualitative and quantitative evaluations
are made based on available experimental measurements
to highlight the performance of this device concept and
physical implications. Consistent and noticeable
increases in lift, drag and heat transfer rates are observed
while varying the Reynolds number and angle of attack,
indicating that there is substantial potential of applying
this concept to manage and control fluid flow and
thermal environments.
Nomenclature
a
Plasma breakdown length perpendicular to the
surface
b Plasma breakdown length along the surface
C
P
Specific heat
C
L
Lift coefficient=L/(ρU
2
/2)
d Gap between electrodes
D Drag force
e Internal energy
e
c
Electron charge
E Electric field strength
E
0
Peak electric field strength
E
b
Breakdown field strength
F Force from glow discharge plasma
H Heat transfer
k
1,
k
2
Electric field gradients
K Coefficient of thermal conductivity
l Length of the plate
L Lift force
Nu Nusselt number=Hl/K(T
P
-T
a
)
p Pressure
Pr Prandtl number= C
P
μ/K
Re Reynolds number=ρul/μ
T Time period of voltage cycle
T
a
Ambient fluid temperature
T
P
Temperature of the plate
U Inlet fluid velocity
V Applied voltage
x,y Coordinate axes
ρ Fluid Density
ρ
c
Charge number density
μ Viscosity
τ Shear stress
∆t Discharge duration per unit cycle
ε
0
Permittivity of free space=8.852x10
-12
Farad/m
1. Introduction
Glow discharge operates in a highly non-equilibrium
plasma regime with little thermal effect while exhibiting
substantial fluid dynamics characteristics. It offers
interesting potential for active fluid flow and thermal
control
1-7
. As schematically illustrated in Fig. 1, the
plasma generation is achieved using a capacitively
coupled mechanism on the surface of a dielectric board
containing asymmetrically distributed electrodes on the
top and bottom. For example, Corke et al
2-3
demonstrate
that the plasma operation enhances lift and also causes an
increase in drag ascribed to flow separation downstream
of the plasma generating electrode.
Physically, the plasma generation produces a
wall jet on the surface, essentially acting as a source of
external momentum to the fluid. This force is termed
paraelectric by Roth et al
4
. In order to develop an
analysis framework to probe the physics and engineering
implications, a computational model based on simplified
electromagnetic field description and the Navier-Stokes
equations has been developed by Shyy et al
1
. The
paraelectric force is modeled as a body force term in the
Navier-Stokes equations governing the fluid flow. The
underlying principle behind this treatment is that the
paraelectric force can be viewed as that exerted on the
local charge concentration of the plasma by the local
electric field. This force acts on the fluid inside the
elemental volume of interest. This modeling approach is
reasonable in light of the plasma being weakly ionized
and hence the force on the charge particles is equivalent
to the force acting on the fluid itself. Based on such a
1
Graduate Student Assistant
2
Professor and Dept. Chair, Fellow AIAA
Copyright © 2003 by Authors, published by American Institute of
Aeronautics and Astronautics, Inc. with permission.