Isometric view of the missile.
Enclosure and missile.
Missile cut out.
This is an assignment for my ME-441 Computer Simulation and Analysis class. In the Computer Simulation and Analysis class ANSYS Workbench and Discovery AIM were used extensively to simulate. Instructions were provided, and sometimes the models, either from Creo Parametric or SolidWorks, were provided as well. Some assignments however need the objects to be modelled from scratch or modified before hand.
In this assignment, a model of a missile undergoes a compressible subsonic air flow using ANSYS AIM Fluid Flow.
The theoretical calculations goes:
Coefficient of Drag
C_D = F_D / (0.5 * p * A * v^2)
When editing the geometry, a massive enclosure is modelled around the missile. From the missile's nose cone, one end of the enclosure is 10 m away. From the missile's nozzle, the other end of the enclosure is 30 m away. The radius of the enclosure is 20 m.
After the enclosure has been modeled, it is cut in half twice (vertically and horizontally) until only a quarter of its self is left, as seen in the image on the left. When meshing, the boundary layer and face sizing are applied over the missile seen on the left. An edge sizing is applied at the edge were the missile sits. The element shape is set to tetrahedron.
The boundary conditions of the enclosure includes: the inlet, outlet, two symmetries, and two walls. The inlet, located on the left face of the enclosure facing the missile nose, is a subsonic, pressure based inlet with a gauge total pressure of 28,000 Pa and a temperature of 35.85 C. The outlet, located on the opposite end face, is a subsonic, pressure based outlet with a gauge static pressure of 0 Pa. The two symmetry conditions are the large flat faces of the enclosure when it got halved. The two walls of the enclosure are the round face and the missile itself.
The results of this analysis include: velocity vector, pressure, temperature, and Mach number contour, and the drag force. From the drag force, the coefficient of drag from the missile can be calculated. The velocity (v) and drag force (F_D) obtained from the analysis is 204 m/s and 634.85 N respectively. For the drag force, the value is multiplied by four because the value obtained is from a quarter of a missile. The area (A) of the missile is 6.16 m^2, which can be obtained by checking the missile's mass properties in SolidWorks. The density (p) used is from air, which is 1.2255 kg/m^3.
C_D = (634.85 N * 4) / (0.5 * 1.2255 kg / m^3 * 6.16 m^2 * (204 m/s)^2) = 0.016
The drag coefficient of the missile is 0.016.
Boundary conditions of the analysis.
Velocity vector of the air flow.
Drag force of the missile.
Pressure contour over the missile.
Temperature contour over the missile.
Mach number contour over the missile.