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Phase II Final Report - NASA's Institute for Advanced Concepts

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Planetary Exploration Using Biomimetics<br />

An Entomopter <strong>for</strong> Flight on Mars<br />

Table 3-5: Simulation Conditions (Continued)<br />

Free Stream Temperature<br />

Solver<br />

210 K<br />

Segregated-Implicit, Steady<br />

In the CFD analysis, the values of lift and drag coefficients were to be determined. The lift coefficient<br />

and the drag coefficient are given by Equations 3-29 and 3-30, respectively.<br />

2<br />

c = L/(0.5 V S)<br />

Equation 3-29<br />

l<br />

ρ ∞<br />

c = D V S<br />

d<br />

2<br />

/(0.5 ρ ∞<br />

)<br />

Equation 3-30<br />

L and D are the lift and drag <strong>for</strong>ces, respectively, p is the density of the fluid, V is the free stream<br />

velocity, and S is the wing plan<strong>for</strong>m area.<br />

All the cases were run <strong>for</strong> turbulent conditions with the Spalart-Allmaras model and the conditions<br />

shown in Table 3-5. After the solutions converged, the C L and c d values were noted.<br />

According to the “lifting-line theory,” C L - = 2πα, where α is the angle of attack in radians. The<br />

theoretical values of C L obtained from the lifting line theory, and those obtained from the CFD<br />

simulations were compared. Figure 3-40 shows the comparison.<br />

Figure 3-41: Lift Coefficient vs. Angle of Attack<br />

74<br />

<strong>Phase</strong> <strong>II</strong> <strong>Final</strong> <strong>Report</strong>

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