ITI-RCS radomes are designed to withstand wind loads in
excess of 100 mph (typically 155 mph).
At such speeds, pressure loads can vary widely from one side of the dome
to the other, becoming a significant factor in its structural requirements. Thus, accurate prediction of the wind load is
very important to the success of a radome design.
Simulating wind flow around a radome is not as simple as it
might sound. Due to the high Reynolds numbers
associated with these bluff bodies (between 105 and 107),
the nature of the flow can be chaotic in the wake. High fidelity models must be
three-dimensional and unsteady since the flow separates behind the domes and
forms vortices that shed in an undulating fashion. As a result, pressure on the leeward side of
the radome oscillates in both magnitude and position.
To illustrate this, we have simulated the conditions of one
of the wind tunnel tests conducted in Reference 1. In this test, D'Amato and Fanning subjected a
sphere-cone radome to a uniform horizontal 100 mph wind. The resulting Reynolds number was 2*106. We modeled the test using a Detached Eddy
Simulation (DES) run with a seven million cell unstructured mesh (see Figure 1). Time steps were on the order of 10-3
seconds.
Figure 1: Unstructured mesh tailored for vortex shedding. |
Video 1 shows the chaotic nature of the flow in the radome’s
wake, over roughly 0.5 seconds. The
vorticity of the flow is shown along seven planes slicing parallel to the direction
of the wind. The undulating vortices
roiling downstream can easily be seen.
The true structure of the vortices is easier to discern in
Video 2. In this case the 150 Hz
iso-surface of the vorticity is tracked through time (the surface is colored by
the velocity magnitude). Vortices of
several sizes and shapes can be seen in the video. Some are small and short lived. However, the majority are large and
persistent. These horn-shaped vortices
form just aft of the dome and are shed semi-periodically. They are tight swirls near the centerline of
the radome but then arch up and outwards until connecting with the ground at
the edge of the wake zone and they grow in size as they travel.
Figure 2 shows the pressure distribution on the leeward side
of the radome at two different points in time.
The unsteady nature of the vortex shedding just discussed causes high
and low pressure zones to alternate side to side with time. This variation causes lateral forces that are
as high as 23% of the lift and 28% of the drag. Obviously, this variation complicates any
subsequent structural analysis.
Figure 2: Vortex Shedding Pressure Distribution |
In addition to unsteady flow around bluff bodies, ITI-RCS has
the ability to simulate many other fluid flow conditions. These include porous media, pipe flows,
aerodynamics, micro components, and fluid-thermal-structural interactions, to
name a few. For more information on our
modeling capabilities and how we can help meet your project needs please visit
our website.
Reference 1: D’Amato,
R., Fanning, W. R., “Pressure Distributions on Sphere-Cone Radomes in Uniform
and Gradient Flows,” Techincal Note, ESD-TR-68-84, Lincoln Library, MIT, 1968.