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Rocket Modeling Using 3-D Graphing and Air Flow Analysis

Footnote 18 MAT267 Professor Brewer April 28, 2008 Project by Vishal Doshi and Erin Eppard. Rocket Modeling Using 3-D Graphing and Air Flow Analysis. Design One.

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Rocket Modeling Using 3-D Graphing and Air Flow Analysis

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  1. Footnote 18 MAT267 Professor Brewer April 28, 2008 Project by Vishal Doshi and Erin Eppard Rocket Modeling Using 3-D Graphing and Air Flow Analysis

  2. Design One • Using Maple, a professional math software application, a three dimensional plotting command, was used to define the surfaces and 3D bodies in our rocket • Rectangular and polar coordinates • All surfaces and 3D bodies on the same axes • Body design: • Cone • X2/A2 + Y2/B2 = Z2/C2 • Circular Cylinder • X2/A2 + Y2/B2 = Z

  3. Design Two • Another rocket model was developed for comparison to the first model when analyzing air flow. • Features: • Less edgy • Smaller fins • More surface area • Body design: • Elliptic Paraboloid • X2/A2 + Y2/B2 = Z/C

  4. Designing the Rockets • Calculations: • Intercepts • Desired curvature • Conversion between Cartesian and polar coordinates for most efficient plotting • Considerations: • Aerodynamics • Proportionality • Limited knowledge of 3D surface equations

  5. Fin Design • Each fin is 90° from the others by shifting the place where it starts plotting along the x or y axes. • In order for it to be a plane on the y and z axes, the x axis must be zero, whereas on the x and z axes, the y axis must be zero.

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